diff --git "a/data/dm_maths/full_data/10987_11255.jsonl" "b/data/dm_maths/full_data/10987_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10987_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let w = 55 + -53. Suppose 5*r = -2*o - 241, w*o + 2*r - r + 229 = 0. Let k = 126 - o. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/3 - 0. Let p = -1 - -1. What is the second biggest value in -0.4, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21759 + -21754. Let h = 3 + 0. Solve -31 = -d*m + 4*y, -2*m - h*m = -2*y - 23 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1157541 - -1154122.676. Let j = -3477.2 - w. Let n = j - -59. What is n rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 11*k + 4. Let d(m) be the third derivative of -7*m**4\/8 - 7*m**3\/6 + 2753*m**2. Give -3*d(x) - 5*g(x).\nAnswer: 8*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -392\/3 + 3325\/24. Let c = -1029\/8 + 4983\/40. What is the common denominator of c and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5285, -5274, -5249, -5204, -5133, -5030?\n\"Answer: u**3 + u**2 + u - 5288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**4\/24 - 5*x**3\/6 + 4*x**2. What is the first derivative of t(v) wrt v?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 11121020221?\nAnswer: -11121020211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -9*d - 61. What is t(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -156.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 4, 0, -769\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23344.86 seconds in microseconds?\nAnswer: 23344860000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -4\/799 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33574496 to the power of 1\/2, to the nearest integer?\nAnswer: 5794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s. Let r(t) = 6 + 321*t**2 - 306*t**2 - 6. Calculate r(m(d)).\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 + 9 + (33 - 10\/1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/8 + (-1)\/(-4). Let a be (9 - 0)\/(d - 1). Suppose -24 = -t + a. What is the greatest common divisor of 132 and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 20*g. Let i(a) = -3*a. Let o(b) = 8*b. Let c(y) = -11*i(y) - 4*o(y). Give m(c(s)).\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjjoz. Give prob of picking 1 z and 1 j.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 684 divide 38963376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**3\/3 + 8*p. Let d(h) = 2 + 0 - 2 + 6*h. Determine d(q(t)).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/(-21)*444\/4810*-91?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11163 times -12858\nAnswer: 143533854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2 + 3*v + 0*v + 2*v**2 - 4*v + 5 - v**3. Let a be o(0). Solve 0 = 3*s + 3*l + 2*l - 30, 19 = a*s - 2*l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28502941 rounded to the nearest 1000000?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 132294.75 months?\nAnswer: 11.0245625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*w**2 + 63*w**3 - 75*w**2 + 5*w + 22 - 76*w**2.\nAnswer: 63*w**3 - 3*w**2 + 5*w + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*b - 1089 - 217 = 0, 0 = 2*b + 10. Let l be f\/1*(-10)\/(-300). Let c = l - 49\/3. Which is bigger: 0.1 or c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47 - 3 - 45 - 78*j wrt j.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 6*t**2 - 7*t - 7. Let l be i(-5). Let k(o) = -2*o**3 - 5*o**2 + 2 - 1 + 4*o + 4*o**3. Is k(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6949 - 4535. Let i = t - 2424.47. Round i to 0 dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 1\/2*k**2 - k - 5. Suppose 0 = -2*v - v + 3. Determine s(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8a + -1?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 23*l + 292. Determine g(39).\nAnswer: 1189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8839836 is divided by 1767965.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/3*90\/(-6195).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n, 4*d + 20 = -0*n + n. Is d at most as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*o + 0 - 3 + 2)*(0*o**2 - 2*o**2 + 0*o**2).\nAnswer: 26*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204*l - 213*l + 0 + 1 + 621*l - 198*l.\nAnswer: 6*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11 - ((3 - 10) + 5 + -3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 22*g**6\/15 + g**5\/10 - 53*g**3\/2 + g**2 - 486*g. Find the second derivative of r(l) wrt l.\nAnswer: 528*l**2 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-392)\/(-22) + (-8)\/(-44). Let r be (-243)\/(3 + 45\/(-10)). List the prime factors of (-3)\/(r\/12) - (-400)\/p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lccxxllcllxclcllwllo. What is prob of picking 2 l, 1 o, and 1 c?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -16 + 3. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436791876.\nAnswer: 2, 3, 36399323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from {u: 2, a: 16}?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*q**4 - 62*q**3 - 4*q**2 + 265200?\nAnswer: -80*q**3 - 186*q**2 - 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7104 divided by 3?\nAnswer: -2368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2*4\/(392\/21)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 250534.2us?\nAnswer: 0.2505342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - -11364?\nAnswer: 11403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1119568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*q - 72*q + 11382 = 0. Are q and 1627 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2589744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 17*c**2 - 30*c + 38. Let j(y) = 7*y**2 - 12*y + 15. Let b(q) = -12*j(q) + 5*s(q). Let w = 6 + 1. Give b(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1007070 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -w + 775, -2*w + 182 = -2*o - 204. Let h = 1354\/7 + o. Which is the second biggest value? (a) -1\/5 (b) 4\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, g: 6}. Give prob of sequence yygy.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by -34261856?\nAnswer: -3\/2141366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/6, -1\/12, 104, 3\/43, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 682 is divided by 335.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13\/4 (b) 7\/9 (c) 0 (d) 4 (e) 2\/13 (f) -1 (g) -44\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -133615 divided by 4211?\nAnswer: -133615\/4211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -143 + 666. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n = -25*n + 10. Let v(l) = -l**3 + 5*l**2 + 4*l - 3. What is the tens digit of v(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 - 3.99. Let l = 3.6 + x. Let u = 8 - 8. Which is the smallest value? (a) 5 (b) l (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(14) + (sqrt(14)*-2 - sqrt(14)) - sqrt(14))\/sqrt(7) + (sqrt(2) - (sqrt(8) + -2)))*-6)**2.\nAnswer: -576*sqrt(2) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 3*o. Let a(y) = 2*y**2 + 5*y. Let t(i) = -3*a(i) + 5*w(i). Let l(c) = -6*c**2 + 5*c. Calculate l(t(q)).\nAnswer: -6*q**4 - 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 2:10 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 871767481.\nAnswer: 13, 19, 3529423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 47*r**2 - 2*r + 2. Let q be h(3). Let l = 146 + -85. Suppose -2*a + q = l. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 814237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 279220509?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, -11567, -1 in ascending order.\nAnswer: -11567, -7, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 13 = 3*n, -5*n = -23*m + 19*m - 33. Suppose -n*k = k + 2*k. Solve 0*p - 4*p - 2*g + 10 = 0, k = -5*p - 3*g + 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.34 - -0.24. Let k = h + -0.08. Let w = -763\/15 - -51. Which is the second biggest value? (a) 2\/7 (b) k (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82341840 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 13 - (-25 - -3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 11*q**2 + 20*q + 8. Let z(t) = -3*t**3 + 45*t**2 + 81*t + 33. Let i be 5*3\/((-15)\/4). Let y(x) = i*z(x) + 15*n(x). Factor y(g).\nAnswer: -3*(g + 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(78))\/sqrt(6) + -5.\nAnswer: -5 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -51\/689 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 79*u**2 - 160*u + 466. Let a be o(77). Solve a = -4*l - 4*b, -20 = 14*b - 18*b for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**3\/6 + 4*c. Let y = 4 + 1. Let m(x) = 5*x + x - y*x. Determine o(m(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -341043, -682075, -1023119, -1364181, -1705267?\nAnswer: -2046383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136268 and 1630.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 28 = 3*j, 0 = o - 291606 + 291611 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**2 + 41060*b - 2478000 = 0.\nAnswer: -10325, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4\/3 - 98*t**3\/3 - 34*t**2 + 98*t\/3 + 100\/3 = 0.\nAnswer: -1, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvww when four letters picked without replacement from vwnzwwn.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9684549 and 75.\nAnswer: 242113725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4 - 4*q - 24 + 8*q. Let g be i(8). Solve 5*h + g*p = -36, -3 - 9 = 3*p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*d - 296 = 0, -5*v - 5*d + 278 = -v. What is the biggest value in -2\/5, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(117))\/sqrt(9) + sqrt(156)\/(sqrt(12) - sqrt(12)*-2))**2.\nAnswer: 208\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 409*d**3 + 2*d**2 + 9*d + 8. Let c(z) = -136*z**3 - 3*z - 3. Give -3*b(v) - 8*c(v).\nAnswer: -139*v**3 - 6*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1256 + -1056. Calculate the remainder when q is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 5*b + 2. Let a be c(5). Suppose -3*k + a = -4*k + 5*w, -3*k + 11 = 2*w. Solve 2*o - k = -7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*i**2*v**3 - 47*i**2*v**2 + 26*i*v**3 + 2*i*v wrt i?\nAnswer: 10*v**3 - 94*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + -38. Let h be (g + 6\/(-5))*-3. Factor 6\/5*z + h + 3\/5*z**2.\nAnswer: 3*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 14. Let c(f) = 6*f**2 - 6*f - 6. Let w be c(2). Calculate a(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -171 - 34*b**2 + 10 + 17 - 38*b**2 + 192*b + 3*b**4 = 0. Calculate b.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + 7. Let m = l + 11. Calculate the greatest common divisor of m and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -13, 8, -13\/30?\nAnswer: -13\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 1 - 3 = 0. Let m be 7 - (-1 - (-3 - f)). Suppose -2*y - 4*n + 22 = 0, n - 3*n = 4*y - 26. Solve 4 = -g + 3*w - 0, y*g + 1 = -m*w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -273dbe (base 15) to base 5\nAnswer: -440330404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -885 + 890. Solve t = w + 3, t - q*t + 5*w + 13 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - 0. What is the third biggest value in d, -1, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 - 0.49. Suppose -432 = 22*p - 28*p. Let m be 8\/(p\/27) + (-37)\/13. What is the smallest value in m, -0.01, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37370000 to the nearest one million.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1*(-44)\/(-88)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2142 - 20041034?\nAnswer: -20033342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 37*s + 0 - 1\/21*s**4 - 1\/35*s**5 + 1\/147*s**7 + 1\/21*s**3 + 1\/105*s**6 + 1\/7*s**2. Factor z(v).\nAnswer: 2*(v - 1)**2*(v + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 4*r**2 - r + 5. Let u(v) = -v**3 - 5*v**2 + 2*v - 3. Let k be u(-7). Let w be 9\/(k\/6)*6. Calculate t(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 12:29 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1272 and 360?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11264494046\/624477 - -2856\/29737. Let s = -18045 + w. Let u = s - -19\/3. Is 0.2 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1217789353?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -516 + 531. Solve 0 = -3*v - 2*v + s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -2*o + 5*b - 18, 180*o + 91 = 180*o + 24*b - 53 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 1. Let p(z) be the second derivative of z**3\/2 - z**2\/2 - 1724*z - 2. Calculate -2*a(t) + p(t).\nAnswer: t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 11*h**2 - 25*h - 8. Let u(k) = 4*k**2 - 9*k - 3. Let x(d) = -17*u(d) + 6*v(d). Let n be x(4). Is n greater than or equal to -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36645.\nAnswer: 3, 5, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 f when three letters picked without replacement from ukwuujjfkuwk?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 1\/10*m**5 + 6\/5*m**2 + 17\/30*m**4 + 53\/45*m**3 - 1\/225*m**6 + 56 + m. Determine y so that o(y) = 0.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qd when two letters picked without replacement from rqroqqd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -5. Let f(s) = 128*s**2 - 1. Is f(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8033737*b**3 + 2409726*b + 1 wrt b?\nAnswer: 48202422*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 0 - 2 + 3. Suppose v + 4*c = 2*c + 7, -7 = -5*v - 3*c. Let t(r) = -2*r - 3. Let i(f) = v*t(f) - 3*s(f). Let a(p) = 4*p. Calculate i(a(x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 4:25 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {f: 1, w: 2, y: 2, d: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 44*m + 14. What is the remainder when o(8) is divided by 55?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2389 = 2389?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/32*(-2)\/(-11)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1714.4 + 1714. Let m = 1.4 + 2.6. Let z = m + -12. What is the third biggest value in z, q, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-73 + 0 + -4 + 71 + -69) - 3?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 70.5277692ms?\nAnswer: 0.000000116613375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8617.9 + -8618. Which is the nearest to 2\/65? (a) 3 (b) -1\/2 (c) o (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 15 - 51 = -3*u, 0 = -u + 5*k + 12. Suppose 7*b - u = 3*b. Suppose -5*s - 14 = -69. Solve 4*y + s = 4*q + b, -4*y - 2 = 2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2553 = x, 2*x + 3*x - 12660 = -y. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23224, 46460, 69726, 93028, 116372, 139764, 163210?\n\"Answer: m**3 + 9*m**2 + 23202*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220121 - 220101201222?\nAnswer: -220102122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 + 19884*j**2 - 65895576*j + 72792646288.\nAnswer: -2*(j - 3314)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*v = v - 1127, -4*v - 1172 = 4*p. List the prime factors of (-1)\/(5 + p\/57).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45015141 (base 6) to base 5.\nAnswer: 321333321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (2 + 4 - (23 + -5 + -1))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 2986 - 556. Let i be (16 + 2)\/((-2)\/u). Is (i\/(-6) - 2) + 7\/(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0, -4, -27, -1 in increasing order.\nAnswer: -27, -4, -1, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1917818 bigger than 0.0897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5*y - 4*r, -3*y = 4*r. Let h(c) = c + 3. Calculate h(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o**2. Suppose -2*f + 6 - 2 = 0. Let m(x) = 7*x - 6*x + f*x + 0*x. Give m(v(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 2. Let y be j(-6). Suppose -6*z = -y*z - 2. Let g be 5*(1 + (-4)\/2). Sort 0, g, z.\nAnswer: g, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87852 (base 9) to base 15\nAnswer: 1240b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5096, 2, 0, -1150, 1\/2?\nAnswer: -1150","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + -2 + 8 + -346 + 331?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 450172328 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 147000 - 44835053\/305. Find the common denominator of x and 17\/55.\nAnswer: 3355","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 5161377993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 2*m - 276 = 0. Let p = m + -53. Suppose 2 = 9*l - p. What is the second smallest value in 1\/4, l, 1\/13, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/81 + (1 + -3)\/(4256\/400 + -14).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*f = -1653997 + 1657125 for f.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7736 = -51*m - 35070 + 7055. Is -678 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 85*z = -14*z + 3255 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((9 + -3)\/2 - 3)\/(-2). Let a(l) = -3*l + 3. Let q be a(j). Suppose 0 = -o - q*o. Solve 3*d + 0 - 3 = o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -496*o - 23*o - 37*o + 5*o**3 - 7*o**3.\nAnswer: -2*o**3 - 556*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 163\/5. What is the closest to -1 in -0.3, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/1240 and -19\/355836.\nAnswer: 110309160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3796 to two decimal places.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksfenenvs. What is prob of picking 1 v and 1 k?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11047673 is divided by 1919.\nAnswer: 1909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 52436, 104886, 157334, 209780, 262224, 314666, 367106?\n\"Answer: -o**2 + 52453*o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -466 divided by 233\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**4\/24 + 5*j**3\/6 + 2*j**2. Let s be w(-5). Solve s = 3*v + 3*r, -3*v + 9 = -2*v + 4*r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2792786 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*j - 0*j + 10286584, -25716460 = 5*j - 3*z. Let d = j + 14643292. Suppose d = -13*c + 8*c. What is c rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -6.09. Let l = o + 2.59. Let h = l - 2.93. What is h rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.3033438 - -11.038\nAnswer: 9.7346562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 251*a**2 + 138 - 3*a - 139 + a + 97*a**2 - 45*a**2 to the form w*a**2 + z + o*a and give w.\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009419 to 6 decimal places.\nAnswer: 0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1552907*r - 7764531. Give x(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - u + 1. Let d(s) = -s - 1. Let z(r) = -5*r**2 - 2*r - 10. Let g(h) = -5*d(h) + z(h). Let q = -8 + 9. Determine q*g(f) + 3*n(f).\nAnswer: -2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3432 from -0.0471.\nAnswer: 3431.9529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19602205 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jgjpgjjgzpjpj. What is prob of picking 2 g, 1 z, and 1 p?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 599698, 1199833, 1799968, 2400103, 3000238?\n\"Answer: 600135*y - 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*l - 264 = 23*l. Suppose 3*u - 2*a - l = 0, -4*u + 5*a - 7 = -48. Solve -3*d + 1 = 5*k - u, -2*k = -5*d - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303488201?\nAnswer: 303488201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 434*u**3 - 1253. Let k(z) = 79*z**3 - 229. Calculate 5*b(h) - 28*k(h).\nAnswer: -42*h**3 + 147","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 6*y + 3*d - 343, 5*d = -5*y + 1755. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4559 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/45666936 and 31\/2537052.\nAnswer: 45666936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (74\/(-4))\/(1\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, s: 5, b: 1, g: 6, e: 2}. Give prob of sequence gs.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 304792 = -74*i. List the prime factors of i.\nAnswer: 2, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 divided by 1?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89409017 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188427.\nAnswer: 3, 107, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -18.9314066 and 41?\nAnswer: 59.9314066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**6\/120 - b**5\/6 + 11*b**4\/24 - b**3\/2 - 10*b**2. What are the prime factors of w(9)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 22 + 79. Let s = -21 + 25. Suppose -s*x = -2*p - 0*p - 292, -x + 63 = -3*p. Calculate the remainder when x is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1 (c) -5 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 17*x - 1. Let s(v) be the third derivative of -v**5\/30 + 17*v**4\/24 - v**3\/3 + 9509*v**2. What is -4*d(g) + 3*s(g)?\nAnswer: -2*g**2 - 17*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - (-3 - 4)) + 0. Let f(z) = z**3 - 7*z**2 + 6*z - 5. Let a(m) = -3*m**3 + 22*m**2 - 18*m + 16. Let y(r) = 2*a(r) + 7*f(r). What is y(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o + 59. Let x be m(8). Suppose 50 = 3*h - 73. Let v = x - h. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 3*y**2 - 5*y + 2. Let k be n(3). Let u = 88 - k. Let o = 76 - u. Solve t - 22 = -2*t - 2*h, 5*h = -t + o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21594 and 4348.\nAnswer: 25942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3197 divide 426985164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -4. Suppose -5*x + z*v + 19 = 0, 0 = -5*x - 3*v + 5*v + 17. Suppose 6*m = x*m. Is m bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 150?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*9\/6*(-294)\/63.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, y: 2, x: 3, e: 5}. What is prob of picking 1 d and 1 x?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -105 + 111, a - 2*i - 5 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*f + 126 = -96 - 457. Let y(h) = 27*h - 9. Let p(a) = 26*a - 8. Give f*p(u) - 6*y(u).\nAnswer: 20*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((19 - 7) + -5) - -14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2))\/(c\/(c\/(c*c**(-1\/5))*c)*c))\/(c*c**0*c*c\/(c\/(c\/c**(1\/4)))*c) assuming c is positive.\nAnswer: c**(-31\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 8:38 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 417690400?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 203*l - 197 + 2227 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/10)\/((-4)\/40). Suppose 0 = u*x - 3*x. Factor -i + 0 + x + i**2.\nAnswer: i*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 22125, -1, 4 in descending order.\nAnswer: 22125, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (0 - -2) - (12 - (-9 - -16))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*g*h**2*i + 5*g*h**2 - 2*g*h*i*p + h**2*p + 18*i + p wrt g?\nAnswer: -3*h**2*i + 5*h**2 - 2*h*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(45) + ((sqrt(5)*1 - sqrt(5)) + 5)**2.\nAnswer: 25 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 3:05 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123678, 123684, 123696, 123714, 123738?\nAnswer: 123768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*g - 46. Suppose -4*c + 5*z - g = 17, -z + 9 = -c. Let k(t) = t**3 + 6*t**2 + 3*t - 1. What are the prime factors of k(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v + 0 + 0)*(8*v + 6 - 6)*(7 - 8*v**2 - 7) to the form t*v + k + b*v**2 + i*v**4 + s*v**3 and give i.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14? (a) 4 (b) -5 (c) -36\/11 (d) 3\/5 (e) -4 (f) -0.03\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -201110 (base 4) to base 10\nAnswer: -2132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*k + 4*s - 2 = 216*k + 1, k + 3 = 32*s + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 124 = 2*r, 0*g = 5*r + 3*g - 318. Let n be (-7)\/(r\/34) + 4. Sort -2\/65, n, -0.4 in decreasing order.\nAnswer: n, -2\/65, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -145*q + 1020. Let j be b(7). Solve -j*r + 1 = 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 58.6 in 18, 0.8, -2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - k + 3*y + 50 = 0, -2*k = 3*y + 20. Let h be (-5*(-3)\/k)\/((-1)\/2). Suppose 4 = -2*g - 6, 2*j + 20 = -4*g. Solve 9 = h*z - j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3058 - 4322 - 2730 = -103*m + 190 for m.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 4*y, -74*y = 2*u - 78*y - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9457*u**4 + 328*u**3 + 12478883*u wrt u.\nAnswer: -113484*u**2 + 1968*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 266, 286, 318, 362, 418, 486?\n\"Answer: 6*q**2 + 2*q + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42\/65 and -53\/1970.\nAnswer: 25610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/(-51)*1*2\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 13112?\nAnswer: -13112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 - 0.34. Let z = 0 + p. What is the third biggest value in -5, -0.5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/1652 and 71\/14.\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -1, 83, -48, 0.4 in decreasing order.\nAnswer: 83, 0.4, 2\/13, -1, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019601212 to 4 dps.\nAnswer: -0.0196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -0.9, 1133?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**4 - 6*l**2 - 4849*l**3 + 5*l**2 - 6 + 4849*l**3 + 890*l**5 wrt l.\nAnswer: 53400*l**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 446*p**2 - 65565*p + 436. Give a(147).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1308\/11981?\nAnswer: 1308\/11981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.54 - 76.46. Let d = l + 77. What is the closest to -0.01 in d, -0.5, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*d = -24, 3*d - 8*d + 26 = 3*f. Let o be -3 + (8 - (f - 3)). Solve -h + o = 3*v - 5, 0 = -3*v + 2*h + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -20, 33, 1, -1, 26 in increasing order.\nAnswer: -20, -1, 1, 10, 26, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.65 and -5.82?\nAnswer: -3.783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 5*a**2 - 3*a - 10. What is the smallest common multiple of 10 and i(6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102409864?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -77, -4, 1, -5, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + (-114)\/42)*2\/6.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5090201.\nAnswer: 37, 137573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + 11 - 3 - -3.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*q + 1 = -3, -3*q + 10 = x. Let n = x + -2. Suppose -c - 2*c - 20 = -2*y, -5*y = 4*c - 4. Solve -y*i - 3*m + 9 = 0, 10 = 3*i + 4*m - n*m for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/101992 and -119\/50996.\nAnswer: 101992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 265781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**3 - 3*o**2 + 3. Let r(f) = f**3 - f**2 + f. Let y(j) = -r(j) - u(j). Calculate the remainder when 51 is divided by y(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hlb when three letters picked without replacement from {l: 2, q: 2, h: 3, b: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 144 - 144.174. Round n to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -2, -144, -1, 1 in decreasing order.\nAnswer: 23, 1, -1, -2, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*v + 60*v = -80 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-326*v**2 + 76*v**2 - 202*v**2)*(19*v + 19 - 19) as f + n*v**3 + t*v**2 + r*v and give n.\nAnswer: -8588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -6. Let w = q + -6. What is the third biggest value in -0.1, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 373\/330 - -2\/55. Is i >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2666.\nAnswer: 2, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12305?\nAnswer: 5, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 797 - 400 - 398. Let p(a) = 3*a - 3. Calculate c(x) - p(x).\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 176*s - 2990. Let w be k(17). Solve 6 = -40*o + 45*o - 2*q, -w*o = -3*q - 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -2, 6125, -5.\nAnswer: -5, -2, 27, 6125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 175\/24 (c) -5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - w + 6 - 1, 0 = -3*j - w - 5. Let h be -2 + (-2)\/(-6) - j. What is the nearest to -0.1 in 2\/17, h, -0.4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (k**3 + 0*k**3 + k**3)*(0 + 0 + 2*k) + (-k - 2 + 2)*(-1 - 4 - 3)*(-2*k**2 + k**3 + 2*k**2) as q*k**4 + n*k**2 + d*k + h*k**3 + u and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 (base 10) in base 16?\nAnswer: fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 v when two letters picked without replacement from rxunuruvurux.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19091 - 19135.32. Let d = -0.06 - -46.06. Let v = t + d. Round v to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -5*r**4\/12 - 15*r**3\/2 - 20*r**2 + r - 15. Factor m(a).\nAnswer: -5*(a + 1)*(a + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = z + 3. Let m(c) be the third derivative of -c**4\/4 - 23*c**2. Give m(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence phhp when four letters picked without replacement from {p: 2, h: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*m - 104 + 104 + 47*m to the form p*m + w and give p.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + sqrt(425)*1)*-5.\nAnswer: -50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -11. Let m be 4\/(-10)*j\/(-1). Let c = 73.1 - 73.2. Is m <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -7*t**4\/2 - 12*t + 22. Differentiate o(y) with respect to y.\nAnswer: -42*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021200120 (base 3) to base 16.\nAnswer: 62c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*j + 3, -12 = -4*n + 4*j - 2*j. Let q be n\/2*20\/(-6). Sort q, 3, -28.\nAnswer: -28, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**5\/20 + s**4\/24 - 4*s + 2. Let p(u) be the first derivative of f(u). Factor p(c).\nAnswer: c**2*(2*c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293275340 to the power of 1\/2, to the nearest integer?\nAnswer: 17125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9572 - -11615. Are n and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -1 + 0 + 11. Suppose 0*p + g = 3*d - p, -d = 3*p. Suppose d*c + 4*u = c + 16000020, 2*u = 10. What is c rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -6, -4*c + 6049 = -2*n - 1405. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2549797047?\nAnswer: 3, 7, 47, 293, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = -5*g - 2*n + 83, -2*g = n + 14. Let z(l) = l**2 + 8*l + 11. Calculate z(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347 = n - 343, 2*n + 638 = 2*l. What is the greatest common factor of 840 and l?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -27dc - 2b4?\nAnswer: -2aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 33*t + 3*q, 2 = 4*t + 2302*q - 2303*q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 276 + -285. What is the nearest to u in 0.2, 0.06, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxq when three letters picked without replacement from {n: 2, o: 3, x: 3, p: 1, q: 3, y: 1}?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 7 = s, -2*d - 5*s + s + 10 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 972*j + 5842. What is u(-6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/84)\/((-17)\/(-5950)*10*(-25)\/(-45)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -160797 and 17.6.\nAnswer: -160779.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/3 - (-6)\/9. Let g = 5 - y. Suppose -3*w = -3*q + 51, -3*w - 86 = -g*q - 18. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 + 0.4. What is the third biggest value in 4, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -0.5, -926, 35 in ascending order.\nAnswer: -926, -11, -0.5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 9 + -1 + (2 - (-5)\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fsys when four letters picked without replacement from {s: 6, i: 2, b: 1, f: 3, y: 1}.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 310 - 150 + 10*p - 151 + p**2. Let i be m(-20). Round i to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1701 - 1693. Solve -2*j + w = -3*t, -3*j - 14*t - 5 = -10*t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123936929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 737652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 2. Suppose 4*c = -3*p, 0*p - 5*c = w*p - 1. Suppose -p*q - 10 = -2*m, 0 = -5*m - 5*q - 5. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*d + 518. What is the common denominator of 29\/9 and (9\/(-10))\/(6\/d)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 4*a - 185. What is r(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/(-10) + 0 + 6 + -4. Solve -l - 18*s = -13*s + 2, a*l - 18 = 3*s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2320 - -2009. Suppose 4874 = -4*b + 12870. Let v = i - b. Round v to the nearest one hundred.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 4*v + 16. Suppose -3*y + y = -v. Let q(f) be the second derivative of f**3\/6 - f**2 - 3*f. Calculate q(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 52 = 156. Let a be 4\/6 + n\/12. Suppose -1 = -a*z + 14. Solve 7 - z = -c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -10. Let d(a) = 2*a - 8. Let t be d(4). Let w be (5\/(-30)*-6)\/((-28)\/8). What is the nearest to t in r, w, -2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -108*m**2 + 9*m - 24. Let n(b) = -53*b**2 + 4*b - 11. Let r(i) = 9*n(i) - 4*z(i). Let d(g) = 2*g**2. Determine d(r(k)).\nAnswer: 4050*k**4 + 540*k**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 157997586 to the nearest integer?\nAnswer: 12570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 28023, 56038, 84063, 112098?\n\"Answer: 5*k**2 + 28000*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.015 (b) -0.4 (c) 1 (d) -18 (e) -4\/1541 (f) 4 (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 4. Let j = -28 - a. Solve 0 = j*m + 3*r - 19, 3*r + 2 = -5*m + 36 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(0 + sqrt(2448)) - 2*(sqrt(2448)*-1 + sqrt(2448))) + -5 + (sqrt(2448)*-2 + sqrt(2448))*4*-5)**2 + 1.\nAnswer: -2280*sqrt(17) + 883754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 + 8*m - 8. Let i be k(1). Suppose 5*d - 2*n - 526 = 0, d + 202 = 3*d + i*n. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1842078 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*y + 10 = 0. Suppose -3*p = -4*p + 4*d + 39, p - 25 = -3*d. Is -2*p*y\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*k**3 + 11*k**3 + 12*k**4 + (-k - 2*k + 0*k)*(-2*k**3 - 4*k + 4*k) - k**4 + k**4 - k**4.\nAnswer: 17*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21120 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/6*(6 + -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 12. Put 4, -22, f in increasing order.\nAnswer: -22, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 1081*v - 7399. What is the ten thousands digit of c(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 15\/64, 4, 1\/5 in descending order.\nAnswer: 19, 4, 15\/64, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + -292\/7. What is the nearest to k in 0.3, 1, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2693688 and 3367110?\nAnswer: 13468440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2 - 2)*(-4 + z**2 + 4) + 731*z**3 + 16791 - 16791.\nAnswer: 729*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 476281386 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*s**4 + s**3 - 121*s - 76810.\nAnswer: -36*s**3 + 3*s**2 - 121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03567 and 5?\nAnswer: 0.17835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, h: 8, n: 1, o: 3, j: 3}. Give prob of sequence oooh.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 12038, -6 in descending order.\nAnswer: 12038, -6, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41 - 0) + -49 + 1 + 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2470451 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l - 24 + 14 + 9 to the form c + o*l and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 236, 359, 482, 605?\nAnswer: 728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 262 - 3 = 0. Let y = t + -33. Let l = y + -3. Calculate the highest common divisor of l and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x = -16*x + 180 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*k + 487*k + 364*k - 104*k.\nAnswer: 668*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**3*c)**27\/(c**(2\/9)*c*c*c)**(-50) assuming c is positive.\nAnswer: c**(1207\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**6\/24 - 5*w**5\/12 - 5*w**4\/6 - 11*w**2. Determine p so that j(p) = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 398080*d + 9330. Let u(r) = -43*r - 1. Calculate s(b) + 9330*u(b).\nAnswer: -3110*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -174.8608 + 169.02. Round m to one decimal place.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 2, q: 1, a: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10424 + -130?\nAnswer: -11104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.8 and 41664.\nAnswer: 74995.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 4*z**2 + z**2)*(0*z + 2*z + 0*z) + (-3 - 2 + 6)*(-z**3 + 1 - 1).\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-7)\/2 + 4). Suppose d*i = -6 - 0. Let j(z) = -z**3 - 4*z**2 - z - 4. Determine j(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 112.79.\nAnswer: -451.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnzannnznzann. Give prob of picking 2 n.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 3:50 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*g**4 - 17*g**3 + 4*g**2 + 11*g + 1118 wrt g.\nAnswer: -204*g**2 - 102*g + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2.614707 centuries?\nAnswer: 3137.6484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/23? (a) -4\/5 (b) 1 (c) 2\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1826755 and 3.\nAnswer: -5480265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8851944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-6*sqrt(77)*-2*-6)\/((-2*sqrt(110) - sqrt(110) - sqrt(110))\/sqrt(10)*5).\nAnswer: 108*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**3 + 2*k**2 - 1. Let t be m(-1). Let r be 15\/t + (-10)\/20. Calculate the remainder when 23 is divided by 5*(-3 - r\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 6:22 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 7*c - 17. Let v(i) = 20*i**2 - 220*i - 128. Let p(m) = -6*m**2 + 73*m + 43. Let u(z) = -7*p(z) - 2*v(z). Let x be u(36). What is b(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (19 + -23)*(-1)\/2. Suppose 3*d + 0*n + 2*n - 7500000 = 0, v*d + 4*n = 5000000. Round d to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**3 - 3*b**3 - 7*b**3.\nAnswer: -14*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1227?\nAnswer: 1\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 (base 16) in base 13?\nAnswer: 1b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/8, -6.51, 122\/5, -5\/6 in ascending order.\nAnswer: -6.51, -5\/6, -1\/8, 5, 122\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + j + 3*j)*(-131*j**2 - 250*j**2 + 223*j**2).\nAnswer: 316*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 19096200 to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17048013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 919103*-0.4\nAnswer: -367641.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4890 - -1082. Let k be ((72\/(-14))\/(-2))\/((-102)\/h). Suppose -21 - 15 = -3*t. Calculate the greatest common divisor of k and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1159*l**2 + 75*l + 338*l**2 - 43*l - 34*l.\nAnswer: 1497*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6252707 or -6252713?\nAnswer: -6252707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (0 - (3 + (-7 - -4))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2768426432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdccccgsskgddc. What is prob of sequence kg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence go when two letters picked without replacement from ogsoshhoshrhhohoo?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/(-8) - -1)*4. Let u = 9.7 + -5.7. Suppose -5*m - 4 = -m. What is the second smallest value in m, q, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 1. Let z(s) = s. Let n(p) = 3*v(p) + 12*z(p). Let l be n(2). Let o be (-3)\/15 - (-21)\/5. Solve 0 = 4*t + 2*h - 5*h + l, 0 = -o*t + 4*h - 32 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1927)\/(-41) - -15) + -43.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) 6\/91 (c) 0.5 (d) 4 (e) -1\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -25*j + 340. Let s be y(12). Suppose 2*w + 5*t + 4 = s, 0 = -5*w + t + 36. What is the third biggest value in -3, -0.5, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 1 - 4\/(-4)*14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x. Let g(a) = -5*a + 4. Let u(v) = -g(v) - 6*p(v). Let t(i) = -i - 5. Determine -6*t(l) + 7*u(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77 + 461\/6. Let g = -6 + 11. Which is the nearest to 0? (a) n (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -10*c**2 + 234*c + 1467. Determine u(28).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (257\/((-17990)\/(-140)))\/((-8)\/68).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 2, h: 1, c: 1, e: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*u + 61*u = -105*u + 45*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -224609155*l*z**3 + 2*l*z**2 + 9*l*z + 2914*l + z**2 - 2*z - 116 wrt z?\nAnswer: -1347654930*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -6*k + k - 16, -c - 17 = 4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/9 + (-172)\/(-36). Let f = s + 4. Let b be (-1 - f\/(-15))*-1. Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncennlcccfcnlcfcfcl. What is prob of picking 1 e, 1 l, and 1 n?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 9:39 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 11238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven quarters of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**5\/7 + 582*q**4\/7 + 44734*q**3\/7 + 328530*q**2\/7 - 2067624*q\/7 = 0. What is q?\nAnswer: -141, -13, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -a0952 (base 14) to base 12\nAnswer: -167464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4036632319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 397, 793, 1189, 1585?\nAnswer: 1981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6574*o*w**5 - 209*o*w**4 - 3*o*w - o - 752*w**2 - 4*w + 522 wrt w?\nAnswer: 394440*o*w**2 - 5016*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by 104\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 578, 575, 568, 557, 542, 523, 500?\nAnswer: 473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 202148 and 911800.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 5*x - 9, 0*d - 2*d + 1 = -x. Suppose o - d = -0*o. Calculate the highest common divisor of o and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -930.23*40.4\nAnswer: -37581.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15295 times 7\nAnswer: -107065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15428.83 centimeters to millimeters.\nAnswer: 154288.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1233, 5227, 12487, 23511, 38797, 58843, 84147?\n\"Answer: 83*a**3 + 1135*a**2 + 8*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**3 - 7*t. Let s = -3 + 5. Let p(l) = -3*l - 2*l**3 - 2 + s. Suppose -12 = -3*f, 2*q - 6*q + 40 = 3*f. What is q*p(j) - 3*r(j)?\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 - 3*b + 94 - 7*b**2.\nAnswer: -7*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 26.75?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 21*j = 22*j - 4, -5*b + j = 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 61\/2 of a kilogram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8166 - 8164. Solve -19*b + 17*b - 14 = m*a, 10 = -5*a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.274, 337, -2 in descending order.\nAnswer: 337, -0.274, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4, -6, -4, 2, 12, 26?\n\"Answer: 2*r**2 - 8*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 5*j**2 + 5*j - 8. Let p be i(-6). Let w = p + 2. Suppose 3*h - 6 - 33 = w. What is the remainder when 37 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-8 + 5)*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.5 + -20. Let t = -2.49966 + k. What is t rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a tonne?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(8)*-2 + sqrt(8)) + 3)**2.\nAnswer: -6*sqrt(17) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**4 - 41552*n**2 - 183747*n.\nAnswer: 12*n**2 - 83104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 6839650.8.\nAnswer: -2051895.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (-4 - (2 - 3)). Let c = 16 - s. Let o be (0 + -1)*(-3 + -17). Calculate the highest common factor of c and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25, -39, -63, -103, -165, -255, -379?\n\"Answer: -o**3 + o**2 - 10*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -66654837, -133309673, -199964509?\n\"Answer: -66654836*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 208 and 6.\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 + 318 = -18*q. Which is the nearest to 0.04? (a) 2\/3 (b) q (c) -4 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 131 = -139. Let w = h - -4. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1)*i*i*i*i**(-2\/5)*i**(-5)*i\/((i**(2\/11)*i)\/i))\/(i**(2\/3)\/((i\/i**(-5))\/i))**(-14) assuming i is positive.\nAnswer: i**(-10271\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.34 + -0.06. What is the second smallest value in p, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3293*d + 23062. Calculate t(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - -4 - 1*-5. Suppose d + 140 = s*d. What is the remainder when d is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 2:41 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (0 + (-7 + 4 - -1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 291 - 159. Let m(z) = -4*z + 46. Let t be m(11). Suppose -t*w = -3*y + 2*w + 32, 0 = 5*y - 3*w - 57. What is the highest common divisor of y and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/3 and 7\/4785.\nAnswer: 4785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -69814\/7 in 0.08, -0.2, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 3:34 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 4*a + 16, -4*x - 4*a - 20 = -0*a. Is 14 a factor of x - -2 - (1442 - 2)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(1 + -1 + -1). Let u(d) = 388 - 800 - d + 413. Let c(x) = -2*x + 7. Give m*c(l) + 6*u(l).\nAnswer: -4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a + 3. Suppose 3 = 2*g - 9. Suppose g*j - 3*j - 39 = 0. Suppose 3 - j = -5*l. What is z(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116*j**4 - 7*j**2 + 118*j**4 + j + 4*j**2 + 35 to the form c*j**2 + f*j**3 + i + m*j**4 + z*j and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - -5 - (-58 + 66).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00812622315 rounded to five dps?\nAnswer: -0.00813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14.4, 40, -2\/15, 0, 37?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 5)*(-69 + 69 - 5*h**2) as z*h + j + k*h**2 and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/5*p**5 - 4\/5*p - 48\/5*p**2 + 24\/5 + 24\/5*p**4 + 8\/5*p**3 = 0. What is p?\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(18\/(-21))*(-24)\/(-28). Solve y*n = p + 7, 3*n = -2*p - 1 + 14 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 - 86 = 3*n. Suppose -4*d + 86 = -2*m + 4*m, 0 = -d + 4*m - 1. Solve 16 = n*y - d*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.14, -1502974, 0?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20340324 (base 5) in base 10?\nAnswer: -168214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -321113 (base 4) in base 14?\nAnswer: -14a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (10 - 5 - 6 - 6)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3030 bigger than 3029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 129170746171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 566 and 1268123.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35185\/49 - -718. Let z = y + -53\/735. Suppose 2*a + 0*a - 12 = -2*t, 0 = -4*a + 20. What is the nearest to t in z, -2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7132959 litres to millilitres.\nAnswer: 713.2959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 2*n + 4. Let d(a) = -a**2 - a + 1. Let h(w) = -3*d(w) + y(w). Suppose 0 = -4*p - 6 + 22. What is the remainder when 13 is divided by h(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 4731696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -534, -638, -750, -858, -950, -1014, -1038?\n\"Answer: 2*s**3 - 16*s**2 - 70*s - 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 11*t + 1. Let n = -6 + 9. Let u(o) be the third derivative of o**4\/24 - 2*o**3\/3 - 4*o**2. Let l be u(n). Determine g(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2*o**2 - 3)*(o - 3*o + o) + (257*o**3 + 333*o - 333*o)*(0 + 2 - 3) - 3*o**3 - o**3 + 5*o**3 as m*o**3 + l*o**2 + q + k*o and give m.\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 24897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 564981217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133442 is divided by 75.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*u = 35, 4*q + q + 2*u = -90. Let v be (72\/(-10))\/(6\/q). Suppose -v = 4*a - 6*a. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 1 = -k, 3*u + 20*k - 16*k = 29. Solve 2 = -z + u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-57)\/(-76) - (0 + 45\/(-20)). Solve z - 11 = i*f, 0 = 3*f - 14*z + 18*z + 31 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n**2 - 114*n - 32. What is the remainder when b(-17) is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88924654 by 2.\nAnswer: -44462327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 330, 327, 302, 249, 162, 35, -138, -363?\nAnswer: -646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36550 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1084670*f**3 + 13*f + 6852?\nAnswer: 6508020*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**3 - 1049*m**2 - 6898*m - 2656. What is r(531)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 231406*a**2*b**3 + 309*a**2*b**2 + 2180*a**2*b - 2*a**2 + 3010*b + 1 wrt b?\nAnswer: 1388436*a**2*b + 618*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = -41*x - 232. Sort -5, x, 16 in descending order.\nAnswer: 16, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**4\/12 - 5*c**3\/6 - c**2\/2 + 3*c. Let y be z(-3). Suppose 0 = l + y - 64. What is the remainder when l is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(65)\/sqrt(5) + 3 + (sqrt(13)*-2 + 2)**2 + (0 + sqrt(13)*1 + -2)**2.\nAnswer: -10*sqrt(13) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -4*k + 3*r, -k = 4*r + 8907 - 8921 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 3*a - 90. Let s be j(-8). Let h(t) = -26*t**3 + 11*t + 6. Let k(b) = 5*b**3 - 2*b - 1. Determine s*h(u) - 11*k(u).\nAnswer: -3*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 4*z**2 + 1. Let k(q) = 3*q**3 - 33*q**2 - 2*q. Let d(g) = -k(g) - 4*v(g). What is d(-17)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 9*k**2 + 7*k + 5. Let z be l(-5). List the prime factors of z\/(-7)*(-2 + -1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54889 less than or equal to 54913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 65019 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 22 = 2. Suppose -g + 6157 = 1180. Suppose f*m = -5*m + g. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-477)\/60 - -1)*(-2)\/(-31). Let l = m + 3\/62. What is the closest to 2\/15 in -5, l, 9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-57)\/(-133))\/((-2)\/(-15071)). Let f = 3297 - a. Let r = -69 + f. What is the nearest to 1 in r, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*f - 80, -5*f + 2*t - 3 = -80. Solve -5*n = 2 - f, 0 = -3*l + 2*n + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 372560 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -22*w**3 + 4*w**2 + 4*w - 5. Let o(a) = -11*a**3 + 2*a**2 + 2*a - 2. Let s(q) = 3*i(q) - 7*o(q). Calculate s(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*v - 141*v + 232*v - 10851 - 3765 = 0 for v.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.52 * 0.311\nAnswer: -0.16172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -83*c**2 - 756394*c + 226070092 wrt c?\nAnswer: -166*c - 756394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + v + 11. Calculate p(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4*(-1)\/(-38)). Let v = -4 - i. Suppose 0 = d - 57 + v. Does 21 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -364\/11, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -17182404*b**2 + 111168*b + 18528. Let y(m) = 4637*m**2 - 30*m - 5. Give 5*o(f) + 18528*y(f).\nAnswer: 2316*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 47, -3, 4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 456*f**2*v*w*x**3 + 71*f**2*v*w + 4150*f**2*x - 7*f*w*x**3 - w wrt v?\nAnswer: 456*f**2*w*x**3 + 71*f**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60751 + 44988 = -3201*t - 265441 for t.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.04111 - 2.96981. Round y to two dps.\nAnswer: -2.93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452*o = z + 448*o - 19, -5*z - 19 = -o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(12)\/(sqrt(4)*-3))**2 - sqrt(30)\/(sqrt(120)\/(sqrt(12)*1)).\nAnswer: -sqrt(3) + 16\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -372, -1489, -3350, -5955, -9304, -13397, -18234?\nAnswer: -23815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7067 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*k - 328, 0*z - 3*z = 2*k - 206. What is the common denominator of -2\/35 and k\/(-8) - 0\/(-11)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-10 + -44)\/(-2))\/(3\/2386)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 72*w - 28*w - 24*w - 26*w. Let p(l) = -3*l + 21. What is p(q(i))?\nAnswer: 18*i + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1737*i - 1723*i - 1735*i + 6924*i - 1732*i - 2.\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 37 = -x, -17*x + 58 = -13*x - 2*q. Suppose -x*c - 1456 = -25*c. What is the greatest common factor of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f*p**3*z**2 + 7*f*p**3*z - 218*f*p*z**2 + 15*f*z**2 - 49*f*z + 3*p**3*z - 15*p**2*z + 2*z wrt z.\nAnswer: -4*f*p**3 - 436*f*p + 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210934 is divided by 16215.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*l**2 + 445 + 4*l + 145*l**2 - 52*l**2 - 46*l**2.\nAnswer: -l**2 + 4*l + 445","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - 3*m - 40. Let o be (15\/(-4) + 0)\/(17\/(-68)). Suppose -5*u - o = -30. Solve c - m = u*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 5*w**2 - 8*w - 14. What is s(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -9\/2. Sort g, 5, 5\/3.\nAnswer: g, 5\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 42?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/38038 and -25\/4004?\nAnswer: 76076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from ynboooynynoyonn?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8515 - -8489.644. Round y to the nearest integer.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4346758?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t*z**4 + t*z**2 + t*z - 26*z**4 - 80*z**2 wrt z?\nAnswer: 24*t*z - 624*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -624, -1672, -3146, -5052?\nAnswer: -7396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5\/43 + 2\/387. Let z(a) be the second derivative of a**4\/6 + a**2\/2 + 2*a. Let t be z(-1). What is the closest to -1\/4 in j, t, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.05293 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2167, 2185, 2205, 2221, 2227?\n\"Answer: -u**3 + 7*u**2 + 4*u + 2157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/4)\/((-56)\/48*((-2295)\/(-476))\/(-45))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9348\/902)\/(-57)*(-1)\/(-1).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 3, r: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -15559824.\nAnswer: 15559823.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1568, -5872, -10176, -14480, -18784, -23088?\n\"Answer: -4304*y + 2736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 6. Let w be t(0). Let v(p) = -w*p - 3*p**2 + p + 2*p**2 + 8. Let m = 3 - 9. What is v(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 2118*f**2.\nAnswer: 3*f**2*(f + 706)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -751, 5113, -6.\nAnswer: -751, -6, 5113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 121876*m**3 - 5*m**2 + 3*m + 4. Let k be r(4). What is k rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1734 - -449. What is the greatest common factor of 37 and m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 591000 by -6.\nAnswer: -98500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.68842ng in milligrams?\nAnswer: 0.00000068842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, g: 5}. What is prob of sequence kggk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6444 (base 7) to base 6\nAnswer: -14330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 7*v + 12 = 0. Let c be (-6)\/14 - 80\/(-56). What is the remainder when 46 is divided by (-3)\/v*12*c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7512 - -7690. Is j a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7183048?\nAnswer: 2, 897881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-584)\/32) + -16 + -4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**4\/6 + d**3\/2 - 3*d**2\/2 - 15*d. Let p be (-24)\/(-10) + (-8)\/20. Determine c(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/63 + 6\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 4 (b) -4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62254, -497761, -1679894, -3981979, -7777342, -13439309, -21341206?\nAnswer: -31856359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 416*t**6 + 4*t**4 + 3003*t**2.\nAnswer: 49920*t**3 + 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, a: 9}. What is prob of sequence uau?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*w - 15*w - 2*n - 15, 5*w = -5*n. What is the smallest common multiple of w and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0.2. Suppose -5*t - 18 = 2*s + 3, -5*s = -5*t. Let y = 62316.4 + -62315.9. What is the nearest to u in -10, y, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5) - 52\/10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -307544 and 0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 17\/7 (b) -3 (c) 91.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k - k**2 + 0*k**2 + 3*k + 1. Let q = -22 - -29. Let c be p(q). Solve -2*i - c = 4*s - 7*s, -3*i + 3 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-9)\/(-81)*-63\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1832 a factor of 530202680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14454576797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-64*h + 14*h + 2*h)*(-2*h + 0*h + h) to t*h**2 + x + i*h and give t.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 400859480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l. Let y be n(-4). Let i be 12\/16*-1*y. Let g(p) = 1 - p - 2 - p**2 + 0. What is g(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 142295 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (1211\/(-42) + 4\/(-24))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 9844*v**2 - 5 - 1965*v**2.\nAnswer: 7879*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**6\/120 + 13*p**5\/60 + 13*p**4\/24 - 3*p**3\/2 + 12*p**2 - 53*p. Calculate c(-12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/28)\/(6\/42) + 207\/(-18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 + (-107 - (-41 - -37))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1651247.\nAnswer: 13, 71, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from xxxxxnxxtt.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(968) + (sqrt(968) - (sqrt(968) - sqrt(968)*2*-6)))\/(sqrt(256)*-2 - (sqrt(72)\/sqrt(3))\/sqrt(6)).\nAnswer: 121*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 - 3247 + 1676*n**3 + 3247.\nAnswer: 1676*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.200236 * 0.13\nAnswer: 0.02603068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 580*f = 592*f + 120 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -46\/3152121 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -131*m + 3. Let i = -52 + 49. Let a be o(i). Suppose 3*p - a = -p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*x = 184*x + 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + c + 1 = 0, 3*k + k - 3 = c. Let s be k + -3 - (-4756)\/2382. Let a = s - 36119\/2382. Calculate the common denominator of 47\/10 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5\/4 + 173*h**4\/4 + 4533*h**3\/2 + 19871*h**2 - 912950*h - 2859936.\nAnswer: (h - 16)*(h + 3)*(h + 62)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.2895 times -234\nAnswer: 67.743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.15121 - -0.13121. What is the second biggest value in -2, -1\/71, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3865 + -3862. Let u(a) = 14*a - 2. Let z(r) = 7*r - 1. Let f(d) = -6*u(d) + 11*z(d). Give f(l).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35 + -42?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29120*u = 29123*u + 42, -2*u = q + 29 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 57540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**3 - 327*f**2 - 8745*f + 9075 = 0. Calculate f.\nAnswer: -55, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*l - 21*l - 17 - 20*l.\nAnswer: -2*l - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1330 divided by 266\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0. Let r = 2.4 + -5.4. What is the third biggest value in 0.4, i, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m - 10. Let w(t) = -2 - 5*t + 0 + 13. Let n(a) = 6*r(a) + 5*w(a). Let v(d) = -3*d + 2. Let p be v(2). Give n(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5150)\/(-50) + -88)\/(((-3)\/5)\/(-3))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -1\/11, 0.5, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/79, 2\/5, -3\/2, -37\/4 in ascending order.\nAnswer: -37\/4, -3\/2, -1\/79, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 149 + -128. Calculate the smallest common multiple of l and 35.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7329991ml in litres?\nAnswer: 0.0007329991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 152263 divided by 1?\nAnswer: 152263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 490201 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(-5) + ((-9)\/(-15) - 1). Let s(o) = 5*o - 2. Let y be s(2). Let a(i) = -6 + 6 + y*i. Determine a(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 12*w**2 + 16*w + 44. Let t be s(10). Let k = -4 + 6. Which is bigger: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-180)*((-30)\/700)\/((-24)\/(-32))\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13\/161 or -1?\nAnswer: -13\/161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1495739, 1495751, 1495763?\nAnswer: 1495775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -63.4344 + 8133\nAnswer: 8069.5656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 4*m - 8. Let u(r) be the first derivative of r**4\/4 + 5*r**3\/3 - 4*r**2 - 5*r - 2. List the prime factors of u(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/5 + 3*j - 300.\nAnswer: 3*(j - 20)*(j + 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*n + 2*n - n)*(-2 + 2 + n**2)*(4*n - n - 5*n + 2*n - 2 + 2 + 2*n - 2*n + 2*n + (-5 + 2 + 1)*(-3 + 3 + 2*n) + 1 - n - 1 + 2*n + 2*n - 5*n).\nAnswer: -48*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -5\/6*b**4 + 0*b**3 + 0*b**2 + 0*b**6 + 0*b**5 + 1\/3*b**7 + 12*b + 0. Find the third derivative of m(u) wrt u.\nAnswer: 840*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.8 - -0.7. Let c = a + 0.109. Round c to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -643b9 (base 12) to base 3.\nAnswer: -20200221020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.82 and 13344.5?\nAnswer: 13347.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.22 - -0.067\nAnswer: -0.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 4*p - 12 = 0, 3*p - 9 = -0*p for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 9142497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*i - 2*a + 1, 0 = -i + 4*a - 15. Let g = -3 + 1. Let c = 1.9 + g. What is the smallest value in 2\/9, i, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*(3 - 12\/3). Let t(j) = 2*j**2 - 4*j + 2. Let o(u) = -u**2 + 2*u - 1. Let f(m) = i*o(m) + 2*t(m). Factor f(n).\nAnswer: -(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*k + 5. Suppose 0*s - 2*s + 5*t + 24 = 0, k = 2*s - 2*t. What are the prime factors of 24 + (3 - (3 + s))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 6*f + 6. What is z(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 8*z - 7*z - 130 = 0 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 6*g**2 + 5*g - 8. Let c(r) = -8*r**2 - r + 2. Let m be c(1). Determine u(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 + -11. Let w be l - (2 + -3 + 3). Let a = w + -17. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y**2 + 15*y**2 - 220*y**3 + 192 + 222*y**3 - 15*y**2 + 324 to the form s*y**3 + r*y**2 + t + m*y and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11011010110 (base 2) to base 9\nAnswer: -2354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 125 = -0. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**3 - 4*a**2 + 2*a - 3. Let v be h(3). Suppose v = 3*p - 3. What is the remainder when p is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.17778 times 313\nAnswer: -55.64514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 731029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2645*t**3 + 1271187230*t**2 + 110538005*t + 2403000.\nAnswer: 5*(t + 480600)*(23*t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q**2 + 1. Let u be n(-1). Let s(p) = 6*p - 6*p + u*p**2. Let a(f) = 2*f. Give s(a(y)).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2103888 divided by 43831.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/41 and 79\/24?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6.1584042 - 145\nAnswer: -138.8415958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v - 5*i = -31, 0 = v + i - 7. Suppose -f + v*o - o + 24 = 0, 4*f - 91 = 3*o. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*j = -7*j + 185, 0 = 5*j - 5. Calculate the highest common factor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 6*q**2 + 7*q - 6. Give c(5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**3 + 4*u**2 - 13*u + 10. Let a be v(5). Let j = a - 269. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 8*i - 2. Let z(c) = c**3 - 12*c**2 + 9*c + 16. Let w be z(11). Let k be 2\/(-3) - (-56)\/w. Calculate the remainder when b(k) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -8*m**2 + 10*m + 10. Let i(x) = 0 - x - 4417*x**2 - 1 + 4418*x**2. Determine 10*i(b) + o(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2))**(-4\/7))**(-40)\/(n**1*n*n*n\/(n\/((n*n*n\/n**4)\/n)))**32 assuming n is positive.\nAnswer: n**(256\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4933.\nAnswer: 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 6*x**2 + 9*x. Let j be k(-7). Let d = -11 - j. Is 9\/5 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) + (sqrt(4840) - sqrt(4840)*2) + sqrt(4840) + sqrt(320)\/sqrt(8)*-5)\/((sqrt(64)*-1 + sqrt(64))\/sqrt(2) + (-2*sqrt(256))\/sqrt(8)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3104*n**2 - 6528*n**2 + 3080*n**2 to the form o + d*n + p*n**2 and give p.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -243 - 13?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 + (13 - 17) - 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 29 + 27 = 0. Suppose -q*l + 1217 = 5*i, 3*l + 6*i = 4*i + 1853. Is l a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.051367 * -13.\nAnswer: 0.667771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + f**2 - f + 3. Let c = 14 + -14. Let q be t(c). Suppose 5 = u, -w - 10 = -q*u + 3. Is 2 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -5. Let p be (-4)\/((-24)\/27)*-2. Let o = p - a. What is the nearest to -0.1 in 1, o, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/3)\/((-24)\/(-18))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5318, -5316, -5314, -5312?\n\"Answer: 2*s - 5320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 8834*i - 114837. Calculate v(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s**2 + 1. Let v(x) = x**3 - 9*x**2 + 4*x - 34. Let j be v(9). Let c be ((-5)\/(j + -1))\/(-5). Give o(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(-5)*622\/(-10885))\/(15\/14)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3196 divide 231192248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.16 - 5.06. Suppose 5*s - 19 = t, 0*s + 2*t - 10 = -2*s. Let b be 4\/5 + (s - 5). What is the closest to 0 in p, 2\/7, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163055090?\nAnswer: 2, 5, 11, 1482319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1002 + 203?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2911 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: Does 29 divide 300138994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 27424, 30341, 33258, 36175, 39092, 42009?\n\"Answer: 2917*f + 24507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlaainallwalaalaal. Give prob of sequence il.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v**(-1\/8)*v)*v)*v\/v**(-5)*(v**3)**(-1\/84) assuming v is positive.\nAnswer: v**(327\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 353743 divided by 668.\nAnswer: 353743\/668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37109092.00000025 + 37108996. Let l = t + 96. Round l to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1387, 1504, 1783, 2224, 2827, 3592, 4519?\n\"Answer: 81*b**2 - 126*b + 1432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.572 and -41.\nAnswer: -23.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 7 - 70. Let d be l*((-16)\/6 - -2). What is the remainder when d\/(-4) - 12\/(-8) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 6*t**2 + 6*t + 9. Let i be y(-5). Solve 0 = i*c - 1 + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 86\/16 + (-255)\/680. Let q(t) = 7*t**3 + 4*t**2. Suppose -2*s - 8 = 4. Let x(d) = 6*d**3 + 4*d**2. Calculate o*q(y) + s*x(y).\nAnswer: -y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -174 or -3291\/19?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 q when four letters picked without replacement from {e: 5, p: 3, q: 9, i: 2}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.52647, -8, -23\/4 in increasing order.\nAnswer: -8, -23\/4, -0.52647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-1 - -4) - (2 - 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.27 - -0.07. Let z = w - -3. Let p = 1.2 - 1.2. Sort p, -5, z in ascending order.\nAnswer: -5, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 4, 23, -69, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 m when two letters picked without replacement from rrrrrpmprr.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/31 (b) 0.14 (c) 2\/636891\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15427871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3241 and 11575?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x - 242344 = 9*x - 2*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/2, 2\/15, 3, 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -27*x**3 + x**2 - x - 1. Let h be b(-1). Let z be (-10)\/63 + (-8)\/h. What is the closest to 1 in 3\/4, 0.02, z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3709 + 611 = 5*w. Let l be 0\/(-7) + 3 + 61. What is the greatest common factor of w and l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 86, 0.73, 44 in decreasing order.\nAnswer: 86, 44, 0.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 192693 and 37.\nAnswer: 7129641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 3, -22, -67, -138, -241?\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 11:48 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 887787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - -37.031. Let c = -612 - -612.321. Let v = c - u. Put v, 1, 3\/4 in ascending order.\nAnswer: v, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2343, 10066, 22937, 40956, 64123?\nAnswer: 92438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000098236023 to seven decimal places.\nAnswer: -0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12250737769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/18*(-1 - 71). Suppose -j = -4*j + 18. Let f be (32\/j)\/((-30)\/(-135)). What is the greatest common divisor of f and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**5\/60 + x**4\/24 - x**3\/3 + x**2 - 14. Calculate z(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.65 times 38\nAnswer: 24.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2*(630\/(-45) - -15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4800000\/3)\/(12\/(-102)). Round l to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-27)\/(-72))\/(2\/4 - -1). Let q = 2 - 2.01. Let h = 195 - 195. Which is the closest to h? (a) m (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**3\/3 - 19*t + 16. Let x(y) be the first derivative of r(y). Let j(l) = 4*l. Calculate x(j(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/9))**(-14\/11)\/(f**1)**(15\/2) assuming f is positive.\nAnswer: f**(-1429\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -124396.944892.\nAnswer: -124401.944892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3798 and 56683251?\nAnswer: 1899","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 3 = -30*m. Let g(w) = 4*w**3 + 3*w**2 - 4*w + 3. Let h(o) = -o**3 + o**2 - o + 1. What is m*g(a) + 3*h(a)?\nAnswer: -7*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4341413 (base 7) to base 8\nAnswer: 2015342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22790 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = i + 3*i. What is the remainder when -3 - (0 + 2)*i is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1838)\/(-3))\/(36\/54) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, i: 1, c: 1}. What is prob of sequence cl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*j - 401 = -409, -5*s + 34 = -3*j. Solve -3*r + s*t = 14, 3*r - 18 = -2*t - 25 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4)*(-5)\/55. Sort -2\/11, 0.2, i, 0.03 in descending order.\nAnswer: 0.2, 0.03, i, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 12:44 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/3368118 and -137\/66.\nAnswer: 37049298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65634663 is divided by 8503.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-25)*z)\/z)\/(z**(2\/11)\/z) assuming z is positive.\nAnswer: z**(-255\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 44676.57431 rounded to the nearest ten?\nAnswer: 44680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.906 + -3.906. Which is the closest to 0.01? (a) -41 (b) k (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**3 + y**2 + 6*y + 3. Let o(h) = 11*h**3 + 4*h**2 + 17*h + 9. Let w(c) = -3*o(c) + 8*t(c). Calculate w(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*-0.10597.\nAnswer: -0.0052985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = j + 31, -4*b - 70 - 30 = 4*j. What is j rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -23*v**2 + 2*v. Let z(q) = 1197*q**2 - 105*q. What is 105*y(x) + 2*z(x)?\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/5 + 52*f**3\/5 - 814*f**2\/5 + 3588*f\/5 - 4761\/5.\nAnswer: -(f - 23)**2*(f - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - 5. Let k = i + 8.5. Let u = 629 - 629. Which is the closest to -0.01? (a) k (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1681\/20 + 84. Calculate the common denominator of s and 43\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23210 divided by 9.\nAnswer: -23210\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 212.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 25\/(-14) + 2 + 192\/672.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 0, 2\/7, -12 in decreasing order.\nAnswer: 72, 2\/7, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1125, 6071, 14307, 25827, 40625, 58695, 80031, 104627?\nAnswer: 132477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 28?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -836742457?\nAnswer: -836742462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80570085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.40376 rounded to two dps?\nAnswer: -19.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -8*a**3 + 9*a**2 - 13*a + 1. Let t(x) = -2*x**3 + 2*x**2 - 3*x. Let g(o) = -2*n(o) + 9*t(o). Let k be g(-2). Solve k = 3*z + z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 34. Let s = t + 5. Suppose -51 - s = -4*k. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2146731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.4565897 rounded to three dps?\nAnswer: -25.457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/18 and -3 + (489\/72 - 2).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**3 - 5*t**2 - t + 6. Let o(z) = -z**2 + 1. Let s be 24\/(-2)*(-4 - (-35)\/10). Let x be (16\/(-8) - s\/(-2))\/1. Determine x*q(w) - 5*o(w).\nAnswer: -3*w**3 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-232)\/(-58)*2\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 526669 to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 12:41 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -8*j + 216. Let z be u(27). Suppose 10*a - 15*a + 82735 = z. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -293, -23, 2792.\nAnswer: -293, -23, 2792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*k + 4)*(-2*k**2 + k**2 - k**2) - k + 2*k**3 + 0*k + 0*k.\nAnswer: 6*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12781778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 5 (c) 323\/5 (d) -299 (e) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h + 25*h + 306843 - 2187163 = 0. List the prime factors of h.\nAnswer: 2, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294718034.\nAnswer: 2, 13, 1627, 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (0 - -1)*9. Let o be (6\/5)\/(q\/20). Suppose 3*r = -4*s + s + 57, -r - o*s = -34. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - y**2 - 6*y. Let u(v) be the second derivative of -v**4\/12 - v**3\/6 - 74*v. Determine t(r) - 6*u(r).\nAnswer: r**3 + 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 73740?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.62 + 0.061?\nAnswer: 0.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**3 - b**4 + b**3)*(6 + 15 - 3) in the form x*b**4 + f*b**3 + s*b + n*b**2 + j and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*x = 6, x = -l - 3. Suppose -2*b + 26 = 2*m + m, 3*b + 3*m - 36 = l. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (1 - -4 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 966665 and 73910.\nAnswer: 36733270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*x - 20, 4*x + 0*t - 2*t = -16. Let l = -8 - x. Let u be l\/10 - (-144)\/45. Solve 8 = -p + u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y. Let z(d) = 26*d + 196211 - 196211 + 16*d. Determine -35*x(n) + z(n).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/l**0))**(3\/7)*l*l*l**(-1\/3)*l**0*(l**(1\/4))**31*l**(-4\/9)\/l**6 assuming l is positive.\nAnswer: l**(641\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*c - 23 + 23)*(-164 - 140 + 349) to n*c + a and give n.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 21. Suppose 3*t = -5*j + 153, 0*j - 59 = -2*j + t. Calculate the remainder when j is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10001 - 1?\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.356520573 - -279\nAnswer: 277.643479427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 678299 to the power of 1\/2, to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - 49. Let r = -90 - v. Find the common denominator of 17\/4 and (-98)\/5 + (-1)\/r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a8 + -4?\nAnswer: 2a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3031*q - 3121. What is p(-1)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a. What is p(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 108*d - 100*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -823.01954 - -823. Round t to 3 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 17*y + 16*y + 33, 3*o = 2*y - 17. Let l be 1\/o - (-57)\/7. Suppose 5*k - 60 = -0*k. Solve k = -5*h - l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxx. What is prob of picking 4 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*d**2\/2 - 1920*d - 350.\nAnswer: 5*(d - 70)*(11*d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(65)*2 + sqrt(65) - sqrt(65)) + (sqrt(65) + (sqrt(65) + sqrt(65)*1 - sqrt(65)))*-2)\/(6*(sqrt(500) + 2*-1*sqrt(500))).\nAnswer: -2*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 9 = -0*m + 3*a, -5*a = 3*m + 19 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 28*d**2 + 105*d - 123. What is p(30)?\nAnswer: 1227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 95749?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from mvvvvvmvvvm?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 + -2*(-21)\/(-7). Solve -2*v - 18 = -b*n, v + 4*v = -4*n - 9 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 5*o**4\/6 - 5*o**3\/6 + 3*o**2 + 2*o. Let f be l(4). Suppose -3*d + f = -103. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 474 divide 165900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1105 (base 6) to base 9\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qir when three letters picked without replacement from {m: 3, q: 2, i: 1, r: 4}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 + -57. Suppose -4*l = -3*o - 2*o - 1, 0 = -2*l - n*o + 20. Solve -i = -3*p + l + 7, p - 4*i + 11 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, m: 4}. Give prob of picking 4 n.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-1)*1\/(-2). Let w be (4 - (-517)\/(-94))\/(-3 + (-57)\/(-20)). Solve 2*u + w = 4*m, -2*u + 15 = -j*u for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a hour?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -348 + 54*t**3 + 48*t**3 + 330 - 2*t wrt t.\nAnswer: 612*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4189 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 - 30. Suppose -2*h = 3*o - 173, -o + g*h - h = -35. What are the prime factors of o?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-14 + -172198)\/12)\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 5*p**2 - 38 + 13 + 11.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530*f**3 + 0*f - 2*f + 1855 - 1854.\nAnswer: -530*f**3 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151 - 53. Let q = -65 + v. Let f = q - 21. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21268*y**3 + y**2 - 7*y - 111771 wrt y?\nAnswer: -63804*y**2 + 2*y - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -61 and 13.\nAnswer: -793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17112119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-3))\/(7\/(-105)). Does 6 divide (-188)\/h - (-5)\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 + -46. Which is the second biggest value? (a) -18 (b) y (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 960 and 26720.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-415)\/80)\/((-5)\/2) and -34\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0\/(j*j**(-6)))**(6\/25) assuming j is positive.\nAnswer: j**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 101377807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.420254 rounded to 2 dps?\nAnswer: 1.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -25*c. Let b(l) = -25*l**2 - l. Calculate a(b(h)).\nAnswer: 625*h**2 + 25*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = h - 58, 3*y + 26868 = -h + 26838 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11905 - -11905.01. Which is the closest to 0.2? (a) -0.3 (b) 0.23 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 833 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 225 - 2\/75*l**5 - 1\/10*l**4 - 2\/45*l**3 + 1\/5*l**2 + 4\/15*l. What is b in u(b) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 3:26 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - t**2 + 21. Let n be p(0). Let m = n - 6. What are the prime factors of m\/10*20\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11188 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g. Let y = -7763 - -7766. Let o(m) be the second derivative of 0*m**2 + 19*m + 0 - 1\/2*m**y. Give o(x(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1612 + -0.9?\nAnswer: -1612.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**2\/2 - 5*f + 7. Let s be (-2 - (3 + -4))*0. Determine z(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/20 + 378\/840.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**3 + 5682*m**2 - 4977033*m - 138463020 = 0?\nAnswer: -2540, -27, 673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 156471 (base 8) to base 4\nAnswer: 31310321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -112 + 135. Solve -q - 5*m = l, 6*q - 4*q + 1 = -m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -6.04 (c) -0.8 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3726 = -23*c + 5*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8923 + -35643\/4. Let n(g) be the first derivative of -p*g - 26 - 7\/4*g**2 - 1\/12*g**3. Determine t so that n(t) = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 7\/36273?\nAnswer: 7\/36273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = h - 1. Suppose h = 4*c - 5*c, 0 = f - c - 267. What is the greatest common divisor of 14 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7928, 15859, 23788, 31715, 39640, 47563, 55484?\nAnswer: 63403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 10:25 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0675 + 6.0675. Put -0.4, r, -4, 2\/7 in decreasing order.\nAnswer: r, 2\/7, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w**3 + 10*w**3 - 17 + 2*w - 20*w**2 - 13 - 16*w**3. Let j be s(20). What is the highest common divisor of 15 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0788228117 times -5\nAnswer: 0.3941140585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 847948866*n**2*z + 80619450*n**2 + 2 wrt z.\nAnswer: 847948866*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 562437987?\nAnswer: 3, 187479329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(6)*2 + sqrt(6)) - (sqrt(12)\/sqrt(2) + sqrt(6))*-4)\/((-1*(sqrt(18)*2 + sqrt(18)))\/sqrt(6)).\nAnswer: -23*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1517?\nAnswer: 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1526\/9 - 5231\/36. Calculate the common denominator of 260\/35 + 0 - 4 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6084, -6503, -6922, -7341?\nAnswer: -7760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 152293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42860, -85090, -127318, -169544, -211768?\nAnswer: -253990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eu when two letters picked without replacement from {u: 4, e: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgk when three letters picked without replacement from kggokkokookokokkkkko.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**4\/6 + 4*w**3\/3 + 2*w**2. Let b be s(5). Let d = b + 25. Calculate the remainder when d is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -315275*t + 154675*t + 156481*t to d + p*t and give p.\nAnswer: -4119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (5 - (0 - (1 - 2))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -5*h + 7*s + 1, -3*s = 4*h - 43. Factor -16\/9 - h*i - i**3 - 1\/9*i**4 - 28\/9*i**2.\nAnswer: -(i + 1)*(i + 2)**2*(i + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379050 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 97 - 87. Let h be 4\/22 - 2*b\/(-11). Solve 0 = -4*u - c - 2*c + 4, -h*c - 20 = -3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 + 3*w**2 - 39*w - 4. What is the tens digit of s(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -45. Let i = 18 + 5. Calculate the greatest common factor of i and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 888\/60*(1 + 4). Let h = g + -72. Let l(n) = 15 - 2*n - 2 + 5*n**h - 10. Determine l(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**4\/5 - 84*i**3\/5 + 266*i**2\/5 - 36*i = 0. What is i?\nAnswer: -45, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*0.095.\nAnswer: 0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4937987 hours in minutes?\nAnswer: 29.627922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 219 - 217. Suppose o*x - 20*m = -25*m - 21, -x + 5*m + 27 = 0. What is i in 8\/5 + 2\/5*i**x - 8\/5*i = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (726\/88)\/(9\/12). Let y(i) = i**3 - 12*i**2 + 9*i + 7. Determine y(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74103 by -392.\nAnswer: -74103\/392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 3*k**2 - 2*k. Let q be g(2). Let f = 497.086 - 501.4. Let s = 0.314 + f. Which is the nearest to q? (a) -3 (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 8. Let n be c(-6). Let q(t) = 5*t + 11. Let a(x) = -3*x - 7. Let j(b) = -8*a(b) - 5*q(b). Let i(g) = -g**2 + 2*g - 1. What is n*j(y) + i(y)?\nAnswer: -y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**4\/24 + 8*p**3\/3 + 26*p**2. Let h be a(-12). Solve 8 = -6*o + h*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000104616 to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21567 or 21568?\nAnswer: 21567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 8766.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 683777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1655 + 106?\nAnswer: -1546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 4*h**2 + 3*h + 1. Let y = 12 - 2. Let o = y + -7. Determine s(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + k. Suppose w - 3*s - 2 = -0*w, -3*s + 8 = 4*w. Let n(a) = -w*a + 0*a + 1 + a. Let p(v) = -3*c(v) + 6*n(v). Solve p(t) = 0 for t.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 6*j**2 - j - 4. Let o be p(-6). Suppose r = o*r. Find c such that 3 + 18*c + r + 0*c**3 + 27*c**2 + 12*c**3 = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 113, 222, 329, 434?\n\"Answer: -k**2 + 112*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3335*y**3 - 6*y**2 - 2*y**2 + 3316*y**3 as j*y + l*y**3 + s*y**2 + b and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4 = -2. Let i(m) = -21*m + 3. Let l(q) = -22*q + 4. Give r*l(f) - 4*i(f).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 584184 divided by 194728\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(-102) - ((-70)\/420)\/((-5)\/4370)\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (36 - 34)\/(1 + 3\/(-9))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*h - 1 = 0, -3*f + f = -3*h - 13. Suppose -3*w - 19 = -2*t, 0 = 4*t - f*t + 5*w + 5. Solve 5*d + 0*d - 10 = t*o, d = 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -4, 72, -3, -5 in descending order.\nAnswer: 72, 30, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1388159?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 476709156 to the power of 1\/5, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -13. Let u be (1 + j)*(-8)\/(-6). What is the remainder when 5 is divided by (1 - u - 0)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 - 16*w**2 - 10*w + 85. Calculate the lowest common multiple of 485 and b(8).\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4111906*i*t - 99783*i - 10 with respect to t.\nAnswer: 4111906*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*d - 26*d - 15*d)*(4 - 4 + 6*d**3).\nAnswer: -84*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 9*d - 5. Let m be r(7). Suppose -5*u = -2*u - m. Let k be (30\/(-14) - -2)*-2. Sort u, -4, k.\nAnswer: -4, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 19. Suppose -22*o + 27*o - 10 = 0. Suppose -2*i + 1 = k, -o*k - 28 = -6*k + 4*i. Solve -5*g = -k*x, w*x - 3*g = -3*x - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 101601408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41931 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -j + 35. Let s = j - -9. Let k(o) = o**3 + 3*o**2 - 3*o + 1. Is k(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -8*r**3 - 5*r**2 + 5. Let t(q) = -q**3 - q**2 + 1. Let j = 136 - 126. Suppose g = 3*g + j. What is g*t(f) + o(f)?\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 2. Let x be 8\/(-3)*(-27)\/(-18). Which is the third smallest value? (a) 1\/5 (b) u (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 126886*t**2 + 1141901*t + 1015016.\nAnswer: (t + 1)*(t + 8)*(t + 126877)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 12*f**2 - 21*f + 2. Calculate the smallest common multiple of n(-10) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120203220 - -331?\nAnswer: -120202223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -10, 14, -2, 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 - -5 - 1*-2. Factor -9 + 9 - g*o - 2*o**3 - 4*o**2.\nAnswer: -2*o*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eez when three letters picked without replacement from ezze?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -175833 (base 9) to base 15.\nAnswer: -225b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000889876668 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l = -23*l + 4. Let n(j) = -j. Let u(c) = 2*c. Let m(d) = l*n(d) - u(d). Let p(y) = -y**2. Give p(m(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 18*b**3 - 2*b**2 + 3*b - 2. Let r be f(1). Let a = r - 13. Solve -4*w = -3*w + a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3867 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 4*f**2 - 4*f**2)*(-18*f + 18*f - 45*f**2)*(-61 - 41 + 74).\nAnswer: 1260*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 y, and 1 t when four letters picked without replacement from faaafyfatmmfaayf.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.394 - 1.594. Let b = 15.74 + 0.26. Which is smaller: t or b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - d + 20 = 0. Let q = 1177 - 1179. Let i be (-15)\/2 + (-1)\/2. Put q, d, i in ascending order.\nAnswer: i, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 3262297\nAnswer: 5\/3262297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 28 = -4*w, -40032*w - 35 = -40037*w for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13812, -56664, -128098, -228108, -356688, -513832, -699534?\n\"Answer: g**3 - 14297*g**2 + 32*g + 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4835351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004488 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -87282 - 18?\nAnswer: -8729a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*d**2 + 621*d**3 + 12742*d**3 - 85*d**2 + 104*d**2.\nAnswer: 13363*d**3 - 36*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -82*x + 240. What is y(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*t**4 + t**3 - 39*t**4 - t + 0*t**2 - t**2 to the form b*t + i*t**2 + x*t**3 + s + d*t**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252820 + 45.\nAnswer: 252865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/20))**(-37) assuming h is positive.\nAnswer: h**(-37\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4666.21ml?\nAnswer: 4.66621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1186095 to the nearest integer?\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3 + 6 - 19*w**2.\nAnswer: -19*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2996*q**2 + 22 - 3006*q**2 - 5 in the form x + k*q + a*q**2 and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*c**3 - 2128\/3*c + 92*c**2 + 0.\nAnswer: 4*c*(c - 7)*(c + 76)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -117*y**2 - 4*y - 134. Let l(i) = 2*i**2 + i + 2. Let c(o) = -4*l(o) - t(o). What is the derivative of c(w) wrt w?\nAnswer: 218*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 884*h + 10406. Determine z(-12).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 2. Let k(z) = -2 - 3*z - 8 + 0*z - 2*z. Give 11*i(o) - 2*k(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 8.16. Let o = -5.84 + p. Let f = 4 + o. Put 2, 1, f in increasing order.\nAnswer: f, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3\/8, 34\/5, 12\/55, 0, 1\/7?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 19*u**3 + 13*u**2 + 13*u + 11. Let o(m) = 9*m**3 + 6*m**2 + 6*m + 5. Give 13*o(r) - 6*z(r).\nAnswer: 3*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261 and 3501?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6341 is divided by 943?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/32 of a kilometer?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/(-12)*(-234)\/(-65). Let f(a) = 2499*a**3 - 1618*a**2 + 310*a - 16. Let c(d) = -d**2 + d. Let m(w) = v*c(w) + f(w). Find j such that m(j) = 0.\nAnswer: 4\/51, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 11.4, -0.3, 15, 8 in descending order.\nAnswer: 15, 11.4, 8, -0.3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2 + 15*i - 26 = 0. What is i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -9) + -8 - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-3)\/9*12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/15)\/((56\/(-30))\/(1518\/(-828))).\nAnswer: 11\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2986*q**2. Let z(k) = 2293*k - 1402*k - 888*k. Calculate w(z(c)).\nAnswer: 26874*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2269.4 + -2031.03. Round k to the nearest integer.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 0.21 (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5456531 is divided by 10720?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a millennium in decades?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 36f85 - -4?\nAnswer: 36f89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 - v**2 + v**2 + (-2*v + 3*v - 3*v)*(v - 2*v - v) + 74 + 77*v**2 - 74.\nAnswer: 79*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/1307575 and 149\/1626?\nAnswer: 7845450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240638?\nAnswer: 2, 120319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5\/3 - 64147696*b**4\/15 - 20574631944634*b**3\/3 + 8229854830580*b**2\/3 = 0. What is b?\nAnswer: -3207385, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(8\/11)*s*s*s\/(s\/(s\/(s**37*s)*s)) assuming s is positive.\nAnswer: s**(-366\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2205 smaller than -5\/8047?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/9*y**3 + 0*y**2 + 2\/9*y**5 + 0*y + 0 - 4\/9*y**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (3 - (-11 + 11 + 12)) - 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4991519\/110 + -45377. Let u = p - 1\/22. Let q = -3 + 7. Is q less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 14*i + 31. Let c be j(17). What is the remainder when (1\/(c\/(-136)))\/(1\/5) is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -887582*p**4 + 146*p**2 + 3*p + 294 wrt p.\nAnswer: -21301968*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 96*w**4 - 165*w**2 + 165*w**2 - 3*w**4 + 4*w**4 - 2*w**4 + 0*w**4 - 3*w**4 + 4*w**4 + (-w**3 - w**3 + 3*w**3)*(0 + 2*w + 0).\nAnswer: 98*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -0.4, -9464.97, 0.5.\nAnswer: -9464.97, -4, -0.4, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -80\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15582 is divided by 3116.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1024170 is divided by 57?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b + 3. Let k(j) = 11*j - 7. Suppose -21 = -5*w + 9. Suppose 3 = -t - w. Determine t*q(h) - 4*k(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + l - 2. Let w(y) = -y. Suppose -3*t = -5*t - 2*b, 4*t + 3*b = -1. Determine t*q(m) - 2*w(m).\nAnswer: m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00069131 rounded to 6 dps?\nAnswer: -0.000691","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7165 = -67*y + 21637. Calculate the highest common factor of 16 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 438 or 2?\nAnswer: 438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -856, -1713, -2570, -3427, -4284, -5141?\nAnswer: -5998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2722404437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2189 and 3184.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q**2. Let b(l) = 68*l**2. Determine j(b(m)).\nAnswer: 32368*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -28*p**5 - 3660*p**4 - 117576*p**3\/7 - 145584*p**2\/7 - 7776*p = 0.\nAnswer: -126, -3, -6\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9897519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 11, t: 4, s: 3}. Give prob of sequence stst.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22961001?\nAnswer: 3, 7, 1093381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15016)\/93850)\/((2\/1)\/(-20)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30494 and 8221?\nAnswer: 250691174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2450792.\nAnswer: 2, 306349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(8\/3)*n*n*n*n*n**(6\/5)*(n**(-2\/5))**(-30) assuming n is positive.\nAnswer: n**(298\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 4121746 to the nearest one hundred thousand.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 0)*(10 - 11). Let v be f + 1 + -2 - -3. Suppose -5*p + 9 = 4*y, p = -2*p - 3*y + 6. Solve v*x + p = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v - 31. Let w(o) = 8*o - 62. Calculate 7*m(r) - 3*w(r).\nAnswer: -3*r - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {n: 2, p: 3, c: 3, h: 1, a: 1, m: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**7\/105 + 5*h**3\/6 + 6*h**2. What is the derivative of a(y) wrt y?\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 603975.49 rounded to the nearest 1000?\nAnswer: 604000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((4 - 6) + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-27)*(10164\/(-266) - -38)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3 - 4 + 39*b**2 - 41*b**2 + 4*b. Let y(r) = -3 + 9*r - 1 - 4*r**2 + 3 - 1. Let k(z) = z**2 - 8*z - 6. Let s be k(7). Determine s*v(i) + 6*y(i).\nAnswer: 2*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -34, 5 in increasing order.\nAnswer: -34, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -17*w + 5. Let a(y) = -4*y + 1. Let j(f) = 9*a(f) - 2*b(f). Let x be -3 + (-1)\/1 + 1. Is j(x) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/(284\/(-2698))*90\/108.\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3d - -d?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/(84\/(-28))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 57\/5 of a kilogram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.42 - -0.18. Which is the nearest to 0.1? (a) 2 (b) 3\/11 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = n. Let o(s) = 2*s**2 - 5*s - 4. Let w(b) = -2*b**2 + 4*b + 4. Let j(k) = n*o(k) + 3*w(k). Factor j(z).\nAnswer: -2*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411691 divided by 871?\nAnswer: 411691\/871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 15, 2*r - 4*a - 23 = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 63*u**2 + 6*u. Let h(b) = -b**2 + b. Determine 6*h(y) - s(y).\nAnswer: -69*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 558*a - 3865. Give o(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 4) + 7 + 6. Let d = -2.5 + 3. Which is the second biggest value? (a) -0.3 (b) d (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*y**2 + 45*y**3 - 33*y**2 + 86*y**3.\nAnswer: 131*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/3 + 196*g - 28812.\nAnswer: -(g - 294)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*j - 18*j + 5. Suppose j*d - 57 - 168 = 0. Find the third derivative of -d*l**2 + 5*l**5 + 9*l**5 + 31*l**2 wrt l.\nAnswer: 840*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -152, -201, -234, -245, -228, -177?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 11*l**2 - 5*l - 5. Let z be t(12). Let j(s) = 79 - z - 3*s. Let n(k) = -5*k. Determine n(j(x)).\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -116 + -70b?\nAnswer: -821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 17. Sort 4, -5, b.\nAnswer: -5, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 129\/215*((-165)\/54)\/(-11)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 1:51 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-558)\/(-189) + -3)\/((-6)\/14).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**4 - 4*s**2 - 99*s**5 + 5*s**3 + 9*s**2 + 94*s**5 = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 4) to base 9\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -2. Let l be ((12*-1)\/1)\/(-54 - -53). Suppose -j*t + t = -l. Solve -2*q + 3*n = t*n - 2, -2*q + n = 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2. Suppose -6 = -6*w + 3*w. Suppose 2*l - 4 = -g, -2*l + 4*l = 2*g + 16. Let s(c) = 3*c**2 - 5*c**w + l*c**2. Give s(p(h)).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -735, 56 in decreasing order.\nAnswer: 56, -15, -735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 63. Let c = z + 39. Suppose 5*k - c*k = -29. List the prime factors of k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11904, 11911, 11922, 11937, 11956?\nAnswer: 11979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-4))\/(1\/2). Solve 3*p + g = 7 - k, -5*p - 5*g = -20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -481, -441, -401, -361, -321, -281?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 2:01 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmimmmmmmmmmmm. Give prob of picking 1 m and 1 i.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -630 - -25?\nAnswer: -603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 432 or -23246?\nAnswer: 432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 - 48*r + 183. Give c(-26).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 944939*a**5 - a**3 + 3587583*a wrt a.\nAnswer: 18898780*a**3 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l - 65. Let r(j) = -5*j + 90. Let a(m) = -3*r(m) - 4*u(m). Let f = 18 + -11. Let n(x) = 6*x + 7. Calculate f*n(i) + 5*a(i).\nAnswer: -3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*f + 1722 + 1385 = -6*f - 2206 for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k = 8*k + 15*k - 54. What is the remainder when 86 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -54 + 14371405?\nAnswer: 14371331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -6801?\nAnswer: -10\/2267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/7230 and 23\/24?\nAnswer: 28920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**3\/3 + 2*v**2 + 11. Factor a(x).\nAnswer: -x*(x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - x**2 + 2*x + 309. Let p be 0 + -1 + 3 + -2. Let q be y(p). Suppose 2*h = 5*k - 223 - q, k - 128 = -5*h. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 3*o - 7, 5*o = 7*p - 9 + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 2:05 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 2 - (-7 - -4) - (2 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/55 - -133\/55. Let d(k) be the first derivative of -33\/4*k**4 - 5*k**3 - 1 + 0*k + 3*k**2 - a*k**5. Factor d(u).\nAnswer: -3*u*(u + 1)*(u + 2)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-2)*118\/(-177). Let j(l) be the second derivative of -25*l - 16\/3*l**f - 64*l**2 + 0 - 1\/6*l**4. Factor j(g).\nAnswer: -2*(g + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 48 = 3*p - 3*a, 4*p + 2*a = 78. Suppose 2 = -4*u + p. Suppose -u*g = -5*i - 39, -g = -3*i + 5*i - 13. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18563221 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*g = 35*g - 18. Suppose -3*m = 9, -3*m + 45 + 48 = g*y. Calculate the highest common factor of y and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avr when three letters picked without replacement from vvricjjjaaaa?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*0\/(-2)*1. Suppose k*g = g - 15. Let c(r) = 2*r**2 + r - 7. Calculate the remainder when c(4) is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2032 = m + u, 2*m - 2*u - 1255 = 2825. List the prime factors of m.\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.7 + -4.7. Let o = -6 - i. Let u = 2\/235 - -444\/3055. Which is the closest to u? (a) -2 (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, e: 4, c: 2, j: 2}. What is prob of picking 1 z, 1 j, and 1 e?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 24\/(-132) - 92\/22\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -1\/11, -2, 8 in descending order.\nAnswer: 8, 1\/2, -1\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + s + 6. Let p be y(-4). Suppose -1931 = -p*j - 419. Is 1*j + (-1)\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 72.\nAnswer: 3, 5, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2827*i + 298 - 410 + 7352 + 1241 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -251746579, -251746580, -251746581, -251746582, -251746583?\n\"Answer: -d - 251746578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 292277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0. Let p be -1 + (-30)\/42 + 1. Is n greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -9*m**3 - 2*m**2 + 1. What is s(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 0.17 (c) 396\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, w: 1, u: 6, q: 6, c: 6}. Give prob of picking 1 q and 1 w.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*p + 98206 + 13843 = 0, -5*p + 22375 = -w. Round w to the nearest 100.\nAnswer: -22400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3740789 is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 938919 is divided by 3491.\nAnswer: 3331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 601980 and 200660.\nAnswer: 601980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-4 - -2) + -1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26273477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*g - 81*g - 71*g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) -66013 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 342327621 to the nearest integer?\nAnswer: 18502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 6)*(4*b - 2*b**2 - 4*b + (-2 + b + 2)*(-b + 3 - 3) + (4*b**2 + 8*b - 8*b)*(72 - 68 + 670)) to the form s*b**2 + y*b + a and give s.\nAnswer: -5386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 - 14*z + 13. Let p be h(6). Let f be (0\/p)\/(-6 + 7). Suppose 4*b - 110 - 154 = f. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**3 + 34410*j**2 + 206367*j + 171960 = 0.\nAnswer: -11464, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 7*j - 5. Let f be w(5). Suppose 0 = -f*v + 6 + 19. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69179731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 + 3*h**2 + 5*h - 3. Let v(u) be the first derivative of 3*u**4\/4 + 4*u**3\/3 + 3*u**2 - 4*u - 63. Calculate -4*d(l) + 3*v(l).\nAnswer: l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 154229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 152874 = -152882 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 22*w**2 + 27*w + 96. Let l be i(-23). Solve -16*u = -l*f - 12*u + 20, -5*u = 5*f + 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*r + 10, 35 = 4*j - 2*j - 5*r. Suppose h - 4 = 0, 0 = 2*c + 5*h - 2 - 40. What is the remainder when j is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158784.09 rounded to the nearest 100?\nAnswer: 158800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004984 rounded to seven dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/4)\/((-9)\/(-24)). Let m(r) = -149*r - r**k + 149*r. Let l(x) = -x. Let i(u) = 2*u. Let p(f) = -i(f) - 3*l(f). What is p(m(c))?\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 21*r - 41. Let p be w(-19). Let u(l) = -4*l**2 + 5*l + 3. Let s(c) = -2*c**2 + 5*c + 2. Let a(x) = p*s(x) + 2*u(x). Calculate a(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125766912 to the power of 1\/2, to the nearest integer?\nAnswer: 11215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1478 + 1490. Suppose -4*y + 3*y = -4. What is the remainder when v is divided by (-2)\/y*(-14)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2812021, 5624062, 8436103, 11248144, 14060185, 16872226?\n\"Answer: 2812041*f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millimeter in micrometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4887\/2)\/(522\/696)?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/96 and 19\/54?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(294)*2 - (sqrt(294) - ((-1*sqrt(294) - sqrt(294))*4 + sqrt(294))))\/(-1*4*sqrt(8)*-3).\nAnswer: -21*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*r**6 - 7918*r**4 + 10888*r**2 - 3*r wrt r?\nAnswer: -600*r**3 - 190032*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -59, -56, -51, -44, -35, -24, -11?\n\"Answer: x**2 - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 1:42 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1530611 times 0.01?\nAnswer: -15306.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 1896552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 434.47803 - 6593050.\nAnswer: -6592615.52197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u = -27*u - 34*u + 2247700. Calculate the highest common divisor of u and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + g - 1. Suppose -8*i + 20 = 5*t - 3*i, -i = -2. Let n(u) = -u**2 - t*u + 0*u - 9*u + 6. Let r(z) = -n(z) - 2*y(z). What is r(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -3, -22, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2957*x**3*z + 916*x**3 - 1190599*x**2*z - x*z wrt x.\nAnswer: 17742*z + 5496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25185 - 25184. Sort m, 4, -3, -15, -5 in ascending order.\nAnswer: -15, -5, -3, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(98) + (sqrt(98) - sqrt(98)*4)).\nAnswer: -sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p = 2*p - 540. Calculate the greatest common divisor of 576 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 308 = -26*i. Let q(a) = 12*a + 170. Let p be q(i). Let l(k) = -k**2 + 3*k + 3. Calculate l(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 2:57 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -419794 by 9.\nAnswer: -419794\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 2:45 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32070 - 30469. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 196*j + 1850. Let p be r(-9). Solve -2*a + 2*g + p = -3, -5*a - g - 16 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128\/((-38656)\/(-11325))*2\/10.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 125 and 16925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 247\/20 - 58\/5. What is the nearest to 15\/11 in 2, 0, -2\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 39 = -4*f + f, 5*g = f - 83. Let t(z) = -2*z - 29. Let h be t(g). Suppose h*y - 9 = 45. Calculate the greatest common factor of 45 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7. Suppose -5*j - 2*d - 1 = 0, 6*j - d = 2*j - 6. Let l(i) = -i - 7. Let u(f) = j*l(f) - x(f). Let y(n) = -9*n. Determine y(u(m)).\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 - 13747*h + 6874.\nAnswer: -(h + 6874)*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 856 - 416. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h + 10. Determine y(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 6*h + 3. Let o be t(7). Let n(c) = 1 + 31828*c - 63651*c + 31827*c - 3*c**2 - c**3. What is n(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671542?\nAnswer: 2, 335771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 94 in increasing order.\nAnswer: 0, 3, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -48*j**3 - 1940*j**2*s**2 + 341341*s**2 - 4 wrt j?\nAnswer: -144*j**2 - 3880*j*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x**3\/7 + 3254*x**2\/7 + 5240*x\/7 - 2616\/7 = 0 for x.\nAnswer: -2, 2\/5, 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**3\/6 - z**2\/2 + 14*z. Give r(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 5 - 1)*(0*o + o + o + 1).\nAnswer: -26*o - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.041 + 0.093. Let z = l - -1.948. Is z smaller than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 6*r - 48 = 0. Solve -4*m + r = -4*x, -3 = 2*x - x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9211056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = -69*p + 63*p. Suppose 18*f = -p + 150. Suppose f*u - 8*u + 2238 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 - 9*x + 7*x - 12*x)*((-2 + 3 - 2)*(-2 + 2 + 3*x) - 3*x + 2*x + 0*x).\nAnswer: 8*x**3 + 56*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 20*r**2 - 22*r + 38. What is the units digit of x(22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvg when four letters picked without replacement from {g: 13, v: 3}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 + 52. Suppose 0 = -0*w + 3*w + 15, 5*j + w - 3574095 = l. Suppose 6*o + 275180 + j = 0. What is o rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41941 + -41837. Calculate the remainder when i is divided by 74.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -65. Let b = t - -37. Which is smaller: -4 or b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11179*-182.\nAnswer: -20.34578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**2\/3 - 6052712*m\/3 + 9158830638736\/3 = 0?\nAnswer: 3026356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/(-28)*(-147)\/2*32\/(-56). Solve -3*f + 42 = s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/7 or 1\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -476159\nAnswer: -4\/476159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 146 = 3*m, -2*z + 152 = 2*m + 22. What is the remainder when 1130 is divided by m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 + 42. Let j(g) = -2*g**2 + g + 41. Determine 3*j(n) - 2*s(n).\nAnswer: -2*n**2 + 3*n + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12695 + 228361\/18. Find the common denominator of a and 10\/((-3)\/((-132)\/(-56))).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*(sqrt(99) + 0)**2 + sqrt(99) + (0 + sqrt(99))*-5 - (sqrt(99)*-1)**2*6*-1).\nAnswer: -4950 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 10 = 3*p + 2*p, 0 = 4*p. Calculate the greatest common divisor of f and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10935547 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 4*v + 10 = 2*s, -5*v - 2*s + 14 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/17 in 2\/9, 2\/5, -0.007, -4, -3\/2?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9931.3575 - -9921. Let z = 0.0175 + s. Round z to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2. Suppose -1 = -i + 1. Let z(o) = -o - 2*o**2 + 3*o**i + o. What is t(z(p))?\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -12*u - 96. What is the lowest common multiple of 18 and v(-9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9837)\/(-15) - (-8)\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3802 - -30417\/8. What is the nearest to 0 in 56, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40588190189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-45)\/88)\/((-9)\/(-12)) and (-332)\/(-64) + -4 + 2?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -39, 0, 2\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44735 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -224, -408, -592, -776, -960, -1144?\nAnswer: -1328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m**3 - 3*m**3 - m**3)*((-5 + 3 + 0)*(2*m + 0 + 0) + m + 4*m - 3*m - 4 - 18*m + 4) as c*m**4 + l*m**2 + v*m + x*m**3 + p and give c.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 5*h**2 - 56*h. What is the least common multiple of 18 and k(-5)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-36))\/5*(-116)\/29\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*n**2 - 3*n**2 - 4*n**2)*(-n - 2*n + 2*n + (2 + 0 + 0)*(n + 0*n + n))*(-n - 2 - n + 5*n) to b*n + p*n**2 + x + r*n**3 + v*n**4 and give v.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1015 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71665 = 1906*x - 3209*x for x.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2234 - 2227. Solve v*n = 37*n - 150 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7027 - -7082. Solve 3*h + 3*o + z = 40, 4*h + 5*o + 25 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i\/(i*i**(1\/37)))))**16*(i*i\/(i*i**(7\/3)*i)*i)\/(i*i**(22\/5)\/i*i*i*i) assuming i is positive.\nAnswer: i**(3793\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u\/u**(-1)))**(-4\/3))**(-25)\/((u**2*(u**(-3)\/u)\/u)\/((u**4*u)\/u**(-2\/7))) assuming u is positive.\nAnswer: u**(58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*b**4*x + 3513*b**3*x - 2*b**2*x + 157*b**2 - 2*b*x - 109 wrt b?\nAnswer: -360*b*x + 21078*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -7. Let o(m) = -m**2 + 6. Let l be o(s). Suppose l*d - 15 = d. Solve 4*y = -4*v + 5*v + 7, -d*v + 6 = -3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2419.6 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.64 + -1.422. Round i to two decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13039, 26517, 39993, 53467, 66939, 80409?\nAnswer: 93877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 5 - 16 + 4)*(111 - 6*u - 111) as h*u + w and give h.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3))**(-2\/25)*(a**2)**(-12\/7)*(a**(-1)\/a)**48*a*a**(1\/9)*a\/a**(4\/7)*a assuming a is positive.\nAnswer: a**(-21794\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -33299*h**4\/12 - 11*h**3\/6 + 5*h**2 + 9*h. Let b be y(10). Round b to the nearest one hundred thousand.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*c = -3*h + 124*c - 1, -3*h + 3*c + 3 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 169891778.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.1, 0.7, -0.4, 12, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.338, -2, -31\/3?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000703119 to six dps.\nAnswer: -0.000703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/4 + 0)*2. Let o = 5 + l. Let y(x) = -7*x - 2. Determine y(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 + 9713*r + 846*r**2 - 846*r**2 - 9713*r.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -28267, -57563, -86859?\n\"Answer: -29296*n + 1029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14448 divided by -301?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 155 or 7327\/47?\nAnswer: 7327\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1934, 5, -5 in descending order.\nAnswer: 5, 4, -5, -1934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 10*j**2 + 7*j - 13. Let c be w(-9). Suppose -46 = -3*m + 4*o, 120 = c*m + 4*o - 2*o. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + 3*(sqrt(40)\/sqrt(2) - sqrt(20)))\/(1*sqrt(10)*5) + (4*sqrt(108))\/sqrt(6)*3)*-5.\nAnswer: -181*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - x**2 - 2*x + 4. Let b(u) = 2*u**3 - u**2 - 5*u + 6. Suppose -y - 5 = -2*c, 5*c - 3*y - 6 - 6 = 0. Let v(s) = c*b(s) - 5*l(s). What is v(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -28 and -3.69.\nAnswer: -31.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -16150*q + 561. Let g(n) = 521*n - 18. Calculate -187*g(a) - 6*r(a).\nAnswer: -527*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 828*b - 1692.\nAnswer: 828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1670, -1655, -1638, -1619, -1598?\nAnswer: -1575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = -3*z + 4*o, 182 = -5*z + 8*z - o. Put -4\/7, -5, z, 0.5 in ascending order.\nAnswer: -5, -4\/7, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7349a (base 11) to base 5.\nAnswer: 11411243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -3*w - 1\/10*w**5 + 3\/2*w**2 + 0*w**3 + 0*w**4 + 0. Find the first derivative of t(s) wrt s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -352, 5, -3, 0 in descending order.\nAnswer: 5, 0, -3, -352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -35492107.692 less than -0.04?\nAnswer: 35492107.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 2:48 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 - 0.3. Let a = -163 - -279. Let x = a + -1042\/9. Put -1, m, x in increasing order.\nAnswer: -1, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100 (base 2) to base 8.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10846352?\nAnswer: 2, 11, 61627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/10, 0.4, 49?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55974925?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66 - 79 + 6 + 21)*((-4 + 3 + 2)*(0*i**2 + 2*i**3 + 0*i**2) + 3*i**3 - i**3 - 3*i**3).\nAnswer: -118*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -133 + 933\/7. Factor -2\/7*j**3 + 0 + i*j**5 + 2\/7*j**2 + 0*j - 2\/7*j**4.\nAnswer: 2*j**2*(j - 1)**2*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 111 = -3*u + 2*w, 0 = -3*u - 3*w + 99. Determine m so that 108*m**2 + 5*m**4 - 12*m - u*m**3 + 12*m - 58*m**2 = 0.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 8*w. Let j(s) = -2*s**2 - 1245 + 1245. Give j(p(b)).\nAnswer: -128*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 z when four letters picked without replacement from nzzzwptcnwwpwzzzc?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 52, 106, 166, 232, 304?\n\"Answer: 3*l**2 + 45*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from ssussuuqaqsssqqusvss?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -124 - 21. Which is bigger: -144 or f?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4339 - 22.1561. Let w = 0.91 - f. Round w to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9618 + 10223. What is the remainder when k is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + i + 77 = 0, -g - i - 13 = 4. Sort 2, 1, 5, g.\nAnswer: g, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10011101101100 (base 2) to base 6\nAnswer: 114420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*u**2 + 123*u**2 + 298*u - 29*u**2 - 36*u**2 - 29*u**2 - 11 as f + t*u**2 + m*u and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 2*sqrt(396))**2 + sqrt(11) + -2*(1 + sqrt(11)).\nAnswer: -sqrt(11) + 1857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 438 divided by -146.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 + 12 - 19)*(-3*u - u + 2*u)*(-2*u**2 + u**2 + 2*u**2).\nAnswer: -102*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/240 and -61\/60.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/((l\/((l**(-2)\/l)\/l))\/l*l))\/l*l**7)\/(l\/(l\/l**(-2\/9))*l*l*l\/(l\/l**(-6))))**47 assuming l is positive.\nAnswer: l**(3055\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 4:05 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 50647\/11485?\nAnswer: 50647\/11485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**4 - 8*d**4 + d**4 + d**4 + 4*d**4 - 4*d**4 + (0*d**3 + 0*d**3 + d**3)*(2*d + 1 - 1) - d**3 - 15*d**4 + 13*d**4 + 17*d**4)*(-2*d + 0*d + d).\nAnswer: -6*d**5 + d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4761 - 329*c - 4761 + 2904*c.\nAnswer: 2575*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 62189 and 2480.\nAnswer: 154228720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + f**3 + (-3 + 2*f**3 + 3)*(0 + 2 - 4) - 2*f**3 - f + f - 2*f**3 - f**2 + f**2 - f**3 + 0*f**3 + 2*f**3 - 2*f**3 - 2*f**3 + 2*f**3.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y - 4 + 3*y**2 + 7 - 2*y**2 + 6. Let c be w(-6). Suppose 12 = 5*q + c*r, 3*q + 5*r = 2*q + 20. Do -1\/37 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 5695140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/((-2)\/(-2)))\/(-33 + 31). Let w = 18 + f. Calculate the lowest common multiple of w and 69.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - 1.1. Let b = -2.4 - m. Do 16\/3 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 7. Let x be 2\/4*(-72)\/6. Let f(n) = -1. Let h(r) = x*f(r) - q(r). What are the prime factors of h(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83457 by 4.\nAnswer: 83457\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23777 - 23776.7. Which is the closest to -2? (a) 0.4 (b) l (c) 2 (d) -624\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 245*m + 2348. Let v be i(-10). Let x(w) = 13*w + 17. Calculate x(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44929, -44953, -44995, -45055, -45133?\n\"Answer: -9*x**2 + 3*x - 44923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 7. Suppose 4*r + 20 = -0*r. Let l be z(r). Let b = l + 33. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 46 (c) 254\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60394 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p**3 - 5*p**2 - 4*p + 5. Let u be j(-4). Suppose 3*a + 94 = -m + 2*a, -3*m = -4*a + u. Let o = -92 - m. Sort 0, -12, o in increasing order.\nAnswer: -12, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96314\/14385 - 234\/35. Let j = l - -3413\/1233. Calculate the common denominator of j and (-4)\/6 - 106\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z. Let i(a) = -4*a**2 - 5. Let n(b) = 9*b**2 + 11. Let o(v) = 7*i(v) + 3*n(v). Let f(h) be the first derivative of o(h). Calculate f(u(t)).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one tenth of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -21 (b) -0.01 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 18*m**2 - 1109*m + 3. Let q(k) = -29*k**2 + 1662*k - 5. What is 5*q(w) + 8*u(w)?\nAnswer: -w**2 - 562*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 846 = 3*d + r - 319, -3*r - 405 = -d. Let w = d - 1208\/3. Find the common denominator of w and (-564)\/(-63) + (-4)\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8682 is divided by 2862?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s. Let r be c(0). Let n = 1\/2 - r. Is 2 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4477\/(-4070) + 63\/(-70)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(45\/(-2)))\/(46\/(-483))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(22)\/sqrt(128)).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 4*h**5\/45 + 11*h**4\/9 - 67. Solve q(l) = 0 for l.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5116 - 4604 = -15*z. Suppose -98*f + 62*f = -z. Suppose 2*d - 296 = -2*u, 963 = 4*u + 5*d + 367. What is the highest common divisor of f and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1\/(-1 - -3))\/(105\/4456410).\nAnswer: 21221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2001, 2015, 2029, 2043?\n\"Answer: 14*o + 1987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**33*f)\/f)\/((f*f**(3\/8)\/f)\/f))**9 assuming f is positive.\nAnswer: f**(2421\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2031980 or 2031981?\nAnswer: 2031980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 318028, 318025, 318022?\n\"Answer: -3*d + 318031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7\/4911 - -16978\/721917. Calculate the common denominator of o and 55\/6.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-47394)\/(-33) - (-2)\/(-11). Suppose 2*w - 1433 = -2*w - 3*z, -4*z = 4*w - h. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -9*i + 48. Suppose w - 6 = -i. Let y = w + 47. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/4 - ((-2)\/(-8) - 0). Solve -2*t + r = 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, 2\/11, -1568?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*s - 3*w - 359 = 0, -13*s + 20 - 59 = -4*w + w + 8*w + 50 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 times 252?\nAnswer: 8568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.865 + -8.865. Which is the second smallest value? (a) -4\/13 (b) t (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 109 = -d - 0*d, -5*d + 15 = 0. Suppose z - 532 = -6*m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 2:41 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(32)\/(sqrt(16)\/sqrt(2))))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0*(0 + -1))\/(-2). Suppose 3*p = -o*p + 6. Let i(x) = x**2 - 2*x + 1. What is i(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - -6)*-2 - (-3 - 0). Let h(i) = 0*i**2 + 6*i**3 + s + 3*i**2 - 4*i**2 - 3*i**3. Determine h(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-36))\/(346\/1730)\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-3)*(3\/6 - -1). Suppose -3*h + t - 29 = 0, 63 = -s*h + 4*t + 3. Let v be 7\/3*h\/28. Is v less than 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3307*i**2*m**3 - 2*i**2*m**2 - m**3 - m**2 + 47087*m wrt i.\nAnswer: 6614*i*m**3 - 4*i*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36019*c*u + 30*u - 338 wrt c?\nAnswer: -36019*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 8*a + 12.\nAnswer: -4*(a - 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a factor of 261855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aao when three letters picked without replacement from oaaaaaoaaoaaaaaoao.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -91 at most as big as -68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66*236167.7.\nAnswer: -15587068.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 5:55 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33060129 or 33060143?\nAnswer: 33060143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 140*(-62)\/(-930)*(0\/2 + 6). Which is smaller: r or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/7)\/k*(k\/(k*k**(2\/27)\/k*k*k)*k)\/k*(k**(-1)\/k*k)**(-1\/3))**(33\/2) assuming k is positive.\nAnswer: k**(-1958\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/9 - 202*q**2 + 61206*q - 6181806.\nAnswer: 2*(q - 303)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 330222 - -43?\nAnswer: 330320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbqbujoqjjjbujt. What is prob of picking 2 u?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -28*o + 158. Let k be z(14). Let q = -123 - k. What are the prime factors of q?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 238 and 65506.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is -17064731 divided by -197?\nAnswer: 86623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-1 - 0) + 1 + 30\/30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 0*x - 11\/2*x**2 - 42 + 1\/2*x**3 - 1\/120*x**6 + 5\/24*x**4 - 1\/60*x**5. Let y(z) be the second derivative of t(z). Give y(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zpz when three letters picked without replacement from xxopxxzxxxptzp?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9843377m to nanometers.\nAnswer: 984337700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/2225, -1\/4, -0.101?\nAnswer: -2\/2225","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-79)\/(-91) + 1\/21*-15\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(13\/4)*t*t**(-3\/10)*t**(26\/7)*(t\/(t*(t*t\/(t*(t**(-7)\/t)\/t))\/t))\/t assuming t is positive.\nAnswer: t**(-327\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -81303, -162653, -244051, -325497, -406991?\n\"Answer: -24*t**2 - 81278*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {h: 2, y: 6, t: 5}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 60393988*t.\nAnswer: t*(t + 60393988)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, 6546, -1\/5, 2, -3.4, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 17 = -3*j, -2 = -j - 5*y - 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.73 and -60041095?\nAnswer: 60041096.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5, -7 = 7*s - 2*s - 3*x. Is ((-2)\/s)\/((-1)\/(-143)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76382*g*v**2 + 1704*g*v - 2007*g + 37*v**3 - 2*v - 1 wrt v?\nAnswer: 152764*g + 222*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4725.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -30. What is the nearest to w in 4, -1\/2, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = z - 5*i + 7, -45 = -4*z + 3*i. Let d be 420\/(-3)*(-6)\/z. Calculate the highest common divisor of 56 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3757 - 2048. Find the second derivative of -2*g**5 - 3*g**2 - 3*g - 1671 - g**5 + v + 4*g**5 wrt g.\nAnswer: 20*g**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + 0. Let n be -12*(0 + (-4)\/16). Let q be n + 2*43\/(-30). Which is the second smallest value? (a) s (b) q (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*q - 32, 0 = q - 6*q - 3*u + 30. Suppose q*m = 18*m - 162. Suppose -50 = m*g - 986. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84399064596 minus -1076?\nAnswer: -84399063520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a millennium?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 668.9106mg in micrograms?\nAnswer: 668910.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in -185\/14, 3\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -89*j - 26. What is the units digit of b(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 12 = -5*c + 3*c, -4*i - 30 = -c. Let u(s) = s**3 + 7*s**2 - 8*s - 9. Give u(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -810*c - 768*c + 2527*c - 943*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 544495 to the power of 1\/2, to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-3 - -8 - 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*2\/6?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/20*35\/42. Let v = -5 - -5.6. Let z = -0.5 + v. What is the second smallest value in i, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w - 9*w + 2*w + 7*w as u + r*w and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 553*p - 20054. Give r(39).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3 + 11*x**2 + 0*x**2 - x**2. Let p be z(-3). Let n = p + -35. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from {o: 3, h: 1, x: 2, k: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 + 148*t + 1486. Let j be p(-14). Solve -337*k + 339*k = j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 29*y**4\/24 + 247*y**3\/2 + 13*y**2 - 2. Differentiate s(t) with respect to t.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9701, -9100, -8103, -6716, -4945, -2796?\n\"Answer: -d**3 + 204*d**2 - 4*d - 9900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1701875 and 64225.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-10) + (-66)\/10. Let z(r) = -2*r - 2. Let h be z(l). Suppose 0 = -k - 2*y + 2 + 4, 4*k + 2*y - h = 0. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 11:30 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4149 (base 12) in base 13?\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -56, 3, 0.04, -1513?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34449832 divided by 4306229?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 820925 and 13556990?\nAnswer: 474494650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -1. Let z = -12 - -52. Let j = z + -41. Let w(d) = d**2 + 3. Determine j*w(i) - 3*s(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -471, -470, -469?\n\"Answer: v - 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 959119?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, t: 8, b: 4}. What is prob of picking 1 k and 1 b?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (5 + -6 - (-3 - 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5050, 9400, 13286, 16714, 19690, 22220, 24310, 25966?\nAnswer: 27194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.69 + 33.69. Let k = 36 - i. Let y = -10 + 14. Which is the closest to -2? (a) -4 (b) y (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3329*o**2 + 66574*o - 113. Give p(-20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3135326 and 98583.\nAnswer: 1933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.12\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -127*x**3 - 2*x**2 - 17*x - 16. Let d be r(-1). What is the remainder when d + -1*0*(-1)\/(-6) is divided by 48?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2648, -31, 104 in descending order.\nAnswer: 104, -3, -31, -2648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -f - 4. Let g(v) = v**3 - 3*v**2 - 2*v + 3. Let a be g(4). Is f\/(3 + -1) + a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/1943*(-42)\/14?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-20)*1*5\/(-10).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = u + 1. Solve -3*q + 7 = 4*k - 3, k = -u*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2027*m + 26. Is b(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 10*g**2 + 11*g + 23. Let r be q(9). Suppose r*y = 65*y - 96. Solve y*t = t - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 4*v = 12. What is the second biggest value in -1, v, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57.3 + 57. What is the second smallest value in -5, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 3*u**2 - 4*u - 7. Let z(c) = c**3 - 2*c**2 + 4*c + 6. Let k(x) = -5*s(x) - 6*z(x). Let g(r) = 2*r + 17. Let a be g(-10). Give k(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450840 a multiple of 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 61891.32um?\nAnswer: 0.00006189132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 14948143.1.\nAnswer: -1494814.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/(-15) + 1524\/(-180) + 11. What is the closest to -1 in 0, -5, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5894.501 tonnes in micrograms?\nAnswer: 5894501000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 36 = -70. Calculate the remainder when 83 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 561456 and 292425?\nAnswer: 14036400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 10368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k - 3. Suppose -73 - 251 = -54*r. Let z(g) = -7*g - 12. What is r*z(l) - 22*i(l)?\nAnswer: 2*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*t**3 + 78*t**3 + 38*t**3 + (t**3 + 0*t**3 - 3*t**3)*(3 + 0 - 1) in the form f*t + j*t**3 + h + k*t**2 and give j.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 2375743*g - 2375744.\nAnswer: (g - 1)*(g + 2375744)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from alxfk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -66 (base 10) to base 15\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -378*h**3 + h**2 + 447*h**3 + 0*h**2 - 4*h + 4*h as w*h**3 + z*h**2 + p*h + x and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1893*x - 31914 with respect to x.\nAnswer: 1893","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -12 + -4 + 2 + -113 + 124.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-3 - (0 - 0)). Let s be (1 + -7)*(-2 + 2 + 1). Let c be s\/(((-18)\/4)\/z). Solve c*l + 2*w + 18 = -w, -2*l + 5*w = -4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 11) to base 12.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 12:27 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7733 and 570361?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*p + 11, 5*i - 3*p - 11 - 6 = 0. Let t(n) = -n**3 + 10*n**2 - 7*n - 11. Let a be t(9). Suppose -i*j = -a*j + 12. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - d + 1. Let z(i) = 6*i**2 + 25*i + 36. Let b(s) = 5*n(s) + z(s). Let v be b(-18). Solve 5*a + 0 = -v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 16, -74, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000763092 rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3 + 2\/60*-214 and (-1878)\/(-693) + 3 + (-115)\/35.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137733826.\nAnswer: 2, 2953, 23321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 - -12?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.199 and -3.2534.\nAnswer: 0.6474266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1822 * 2.2.\nAnswer: 4008.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*(52\/(-20) + 3). Let b(q) = l*q**2 - 4*q**2 - 11*q**2 + q**2. Let w(u) = -2*u**2. Give b(w(s)).\nAnswer: -48*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -82*i + 53. Let f = -5 + -18. Is t(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 222887, 223018, 223149, 223280, 223411?\n\"Answer: 131*y + 222756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 9*f**2 + 4*f**2 + 15.\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 658.687 micrograms?\nAnswer: 0.000000000658687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {d: 5, i: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 5012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 - 47. Solve 5*w = 0, 0 = -2*v - 4*w + m*w - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 10617\/3296?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1369157 divided by 2?\nAnswer: -1369157\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - n = 1, -2*p + n - 5*n - 14 = 0. Does 1\/13 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.12861 - -0.79851. Round v to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2. Let a(p) = -p**3 + p**2 + p + 1. Let j(m) = -3*m**3 + 4*m**2 + 4*m + 15. Let b(u) = -4*a(u) + j(u). What is 2*b(v) + 11*q(v)?\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12594, 12607, 12620, 12633, 12646?\nAnswer: 12659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/14 + (-19)\/(-7). Let a(p) = 0*p**2 + i*p**2 - 7*p**2 - 2*p**2. Let c(x) = 2*x. Determine a(c(d)).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14298*d + 2265*d - 6292*d.\nAnswer: -18325*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34529 - -18901. Is (-3 + -4 + 81\/12)*f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((-3 + sqrt(288))*6)**2 - sqrt(288)) + (-6*sqrt(200))**2*2*-5 + -3.\nAnswer: -104079 + 7812*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**3 + 168*s**2 - 327*s + 162 = 0. Calculate s.\nAnswer: 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*t**4 - 8*t + 20*t**2 - 11*t**3 - 7*t**4 + 8*t wrt t?\nAnswer: 48*t - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.3613 + -1.3613. What is the closest to i in -1\/3, 2, -3\/2, -2\/77?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d + 14. Calculate s(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-4*sqrt(832) + 1 + 4 + (-6*((2 + sqrt(832))*-2 + -3*sqrt(832)*-1))**2.\nAnswer: -2432*sqrt(13) + 30533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3882228, -3882226, -3882224?\n\"Answer: 2*h - 3882230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/740360 and -31\/53520.\nAnswer: 4442160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -40*q**2 - 36*q**2 + 78*q**2. Let d(n) = 284*n. Give d(r(i)).\nAnswer: 568*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -176107*n**3*t - 18408*n**3 wrt t?\nAnswer: -176107*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 52 + 48 - 106)*(5*w**2 - w + w).\nAnswer: -5*w**3 - 30*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42.69 - -0.21. Let s = 39 - v. Let p = s - -0.9. Put 15\/8, 4, -5, p in increasing order.\nAnswer: -5, p, 15\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24109279927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, b: 1, m: 4, a: 8}. What is prob of picking 1 a and 2 m?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*n + 145*n - 77*n.\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 790 = -3*x - 4*m, x + 2*m - 280 = 0. What is the remainder when x is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3402\/(-432)*7\/3. Is -19 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (28197\/(-78))\/(-2 + 12\/8).\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27520*m**4 - 7*m**3 + 3572172*m.\nAnswer: 330240*m**2 - 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -g + 12, -g = -4*b + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 7:28 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -7 - (-2 - (-4 + 5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3\/4, 0.7 in decreasing order.\nAnswer: 0.7, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a factor of 240921984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-52) + (-1782)\/(-78). Let p be (-4)\/((-16)\/t) - 5. Factor 3\/4*j**5 + 0*j**3 + 0 + 3\/2*j**4 - p*j - 3\/2*j**2.\nAnswer: 3*j*(j - 1)*(j + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 59566, -0.04, 25\/13, 0.5 in increasing order.\nAnswer: -0.04, 0.5, 25\/13, 59566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (9\/10)\/(105\/(-175))*40\/84\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*t**2 + 60*t wrt t?\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*w**2 - 2359*w - 52*w**2 + 163*w**2 + 12290*w - 55*w**2 to the form c + b*w + k*w**2 and give b.\nAnswer: 9931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 16. Let y be r(13). Suppose 4*k = -s + 14, 6 = -0*k + 4*k - y*s. Let m be 172\/12 + 0 + 2\/3. Solve k*b + 3 = m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*u + 6 = 208*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**4 - n**4 + n**4 + 153*n**4 - 239*n**4 - 185*n**4 + (-n + 5*n - 3*n)*(0*n**3 + 0*n**3 + 2*n**3).\nAnswer: -271*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 21*g - 536. Give s(37).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 8*f**2 + 9*f - 5. Let a(g) = -14*g**2 - 17*g + 9. Suppose -3*p + 9 = 5*d, p - 18 + 15 = 5*d. Let t(i) = p*a(i) + 5*n(i). Give t(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 10 + 10 = 0. Which is the fourth smallest value? (a) j (b) -6 (c) 2\/3 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*z = -45*z + 3*r + 5817, -5*z + 29017 = 2*r. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*q - 3*q - 121840 = 0. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f - 22 + 22)*(-3 + 7 - 2)*(93 + 159 + 85)*(-3*f + 2*f - f) to the form p*f**2 + w*f + g and give p.\nAnswer: -1348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606178053.\nAnswer: 3, 13, 457, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -351150530 rounded to the nearest 1000000?\nAnswer: -351000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 892.221 milliseconds?\nAnswer: 0.01487035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10690197 and -5.\nAnswer: -53450985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 11 + (22\/(-2) - -7). Suppose u - y*u + 25 = -5*w, 0 = 3*u - 2*w - 13. Which is the nearest to 1\/2? (a) u (b) 4 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 28*c**2 - 30*c - 15. Give f(-29).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*s + 2*m, -2*m - m = 5*s - 16. Solve -s*v = -3*r - 8, -4*v + 6 = -2*r - 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 5 = d. Let j be -2 - (d - 4) - 2. Sort -4, 3, j in increasing order.\nAnswer: -4, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/96 and 37\/1260.\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -592\/5 - -589\/5. What is the nearest to -16\/31 in 2\/9, y, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i - 1644 - 481 = 0. Suppose -306*y + i = -301*y. Calculate the greatest common divisor of y and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25.4 - 241.4. Let a = -205.9 - m. Round a to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/32 and 83\/1360.\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 - 19 - 17*d - 7*d**2 + 13*d + 9*d. Let k(h) = -4*h**2 + 3*h - 9. Let s(j) = -3*c(j) + 7*k(j). Determine s(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s + 308 = 64*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcg when three letters picked without replacement from {g: 2, b: 1, c: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31989621553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - ((-2 - (-5 - -6) - -141) + 0 - -4).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23717 + 11877 + 2*n**2 + 11840 + 0*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a73a + -4?\nAnswer: 4a736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - 2*(sqrt(153) + 1)) + (4 + sqrt(153) + sqrt(153)*-1 + sqrt(153) - sqrt(153))**2.\nAnswer: -3*sqrt(17) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 907176.\nAnswer: 2, 3, 37799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 2:23 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 6. Let d = -8 + 2. Let g(f) = -2*f + 13. Let r(x) = d*g(x) + 13*b(x). Let p(o) be the first derivative of o**2\/2 - 8. Determine r(p(n)).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 37 - 9 = 3*d, -48*d + 470 = -6*b + 4*b + 94 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aeee when four letters picked without replacement from {f: 1, a: 2, l: 4, e: 3}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, l: 1, a: 2, j: 2}. Give prob of picking 2 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16431156 and 12096?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 29 + 49 = 0. Suppose -2*z + 216 = 2*z. Suppose 4*o + z = 194. What is the highest common factor of o and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 21\/6)*34. Let w = f - -84. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-6)*10*(-12)\/15.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bao when three letters picked without replacement from xobaubb?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.39 - 1.3. Let i = 6991 - 20722\/3. Let m = -83 + i. Sort -1\/3, b, m in descending order.\nAnswer: m, b, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2512 = 5*d + 643. Let m = -9876 + d. Let g be m\/21 - (-2)\/6. Round g to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*s**4 + 11983*s**2 - 4*s**4 - 6*s**4 - 11757*s**2 wrt s.\nAnswer: -144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82 + -79. Suppose 3*r + 0*r = -m + 19, -v*m + 3*r + 105 = 0. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 15) in base 12?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71422801491956 + -71422723015875.999961. Let g = u + -78475999. Let i = 81 - g. Round i to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 + 0*u**2 + 8*u**2 + (4*u + 3*u - 5*u)*(-3*u + 4*u - 3*u) - u**2 - 2*u**2 + u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*x - 1178 + 298 = -119*x. Solve x*w + 6 = 2*k + 3, -w = 2*k - 9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from {i: 1, b: 1, c: 1, o: 3, e: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14302.13 + 14370. Let f = -68 + r. What is f rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2796649 divided by -1?\nAnswer: -2796649","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -117*g + 196. Let p(h) = 176*h - 295. Give -8*m(s) - 5*p(s).\nAnswer: 56*s - 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -435878 divided by 9274\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 20*w**5 - 1785*w**4 + 12275*w**3 - 32010*w**2 + 36260*w - 14760 = 0.\nAnswer: 1, 2, 9\/4, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-80458)\/80462 - (5 - 3 - 3). Let h = -1247227\/1327623 + c. What is the common denominator of h and 53\/15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1779 is divided by 200?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/5 + 28\/5. Let q be (-11)\/(11\/14) - -4. Let d = -6 - q. Solve 4*w = 3*c + 6, 3*c - d*w + v = w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(1\/5)\/y)\/y**(-1\/3)*y**(-6)\/y**(-2\/3))\/((y**0)**(-45)*((y*y**(-5\/3))\/y)\/(y*y\/y**(-1\/4))) assuming y is positive.\nAnswer: y**(-53\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -3*r - 6, 2*z = 5*r - 3*r + 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23980, 23976, 23970, 23962, 23952, 23940?\nAnswer: 23926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 4. Let c be (2 + -2)\/(2\/(-1)). Suppose 5*j = -15, 2*g + 0*j - 2*j - 14 = 0. Solve -g*m + 12 + r = c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 2*b + 3. Suppose -2*p + u - 6*u = -5, u = 3. Let t be o(p). Let q be 8\/(-36) - 50\/t. Sort 1\/5, q, 4 in increasing order.\nAnswer: q, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10 + 0)*(-1)\/2. Let r be 102\/30*-4 + (-4)\/10. Let d be (4\/(-10) - (-44)\/385)*r. What is the second smallest value in l, d, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 65.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 37952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -34*s - 2. Let w(g) = -134*g. What is t(w(i))?\nAnswer: 4556*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 - 111*t**2 - 223*t - 3881. What is v(58)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 34*y + 289.\nAnswer: (y - 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1056731, 1057206, 1057681?\n\"Answer: 475*r + 1056256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -246 - -245. Which is the closest to -1? (a) v (b) 0.1 (c) 4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r**2 - 3*r + 10. Suppose j = -9 + 2. Let y(k) = 2*k**2 - 2*k + 5. Let o(n) = j*y(n) + 3*b(n). Calculate o(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 289490.8969 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 765.331 rounded to the nearest 10?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 14*m - 15. Does 8 divide l(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000582 to six decimal places.\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -61097 - -243?\nAnswer: -60954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.68 + 199.32. What is the third biggest value in p, 1\/2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 90132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000645 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 6*s**2 + 3*s - 9. Let u be m(-5). Let i = -19 + u. What is the tens digit of (-1580)\/i - (-2)\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i**(5\/2)*i)*i*(i\/(i*i\/i**(1\/6)*i)*i)\/i)**(1\/3) assuming i is positive.\nAnswer: i**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 0.3 (b) 3 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/3)*r)\/(r*r\/(r\/((r*(r**(-8)*r)\/r)\/r))*r)*r**(1\/3)\/(r**(2\/3)*r*r) assuming r is positive.\nAnswer: r**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*f**2)*(-3*f - 1412 + 700 - 466 - 938 - 6*f).\nAnswer: -18*f**3 - 4232*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**5\/5 - p**3 - p**2 + 2. What is y in s(y) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 40. Let i be 80\/(-45) - 4\/j. Let v be (-1 - i)\/((-2)\/(-24)). What is the greatest common divisor of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 + 57. Let j(y) = -8*y + 9. Let t(g) = g - 1. What is r*t(l) - j(l)?\nAnswer: 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 532988. Let s(l) = 31*l. Give s(o(p)).\nAnswer: -31*p + 16522628","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10122112221 (base 3) to base 12\nAnswer: 356b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t**2 - 11*t + 11. What is the units digit of c(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.19 + -0.09. What is the third biggest value in -1\/2, y, -1\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82*x - 8*x - 103*x)*(-2 + 4 + 1)*(-2 + 0 + 0).\nAnswer: 1158*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*c + 5, -3*c = -u - 0*u + 13. Let h(f) = -f**2 - 5*f. Let q be h(c). Let x be 2\/((15\/q)\/(-5)). Sort 2, x, -1 in decreasing order.\nAnswer: x, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 37*j**2 - 1. Suppose 3*a - 54 = -0. What is the smallest common multiple of s(-1) and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22944671 and 387.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v = -5*b + 69878 - 69900, -4*v - 46 = -5*b for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -0.1, -497, 6, 2\/9, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -226611 less than 33.7971275?\nAnswer: 226644.7971275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 9*a - 5. Let z be t(10). Suppose 100 = -z*r + 150. Solve w - 3 = -0, -r = -2*x - 2*w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 1) + -53 + (13 - 16).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22.15649 times -0.3\nAnswer: 6.646947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = -4*w - 2*v - 2902, 0 = -2*w - 4*v - 1366. Does w = -677?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1005015223 - -5?\nAnswer: -1005015214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 + -1fb5?\nAnswer: -1fc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44397 - 59937. Round g to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1222, 1231, 1244, 1261, 1282, 1307?\n\"Answer: 2*w**2 + 3*w + 1217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 10202201210?\nAnswer: -10202201202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = 11*c - 9*c + 264. Put 1, c, 20, -5 in ascending order.\nAnswer: c, -5, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -256, -1002, -2238, -3958, -6156, -8826?\nAnswer: -11962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15082327, 30164657, 45246987, 60329317, 75411647?\nAnswer: 90493977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-190)*55\/22. Put -7, v, 0, 4, 4.5 in increasing order.\nAnswer: -7, 0, v, 4, 4.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/52)\/((-1)\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 174*u + 6 + 23 = -173*u, -191*n - 5*u - 458 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12244 - 12232. What is the greatest common factor of 8076 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u = -26*u + 58652. What is the hundreds digit of u + 0 + (-2)\/(-4)*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 0.6. Let q = -0.3 - 0. Let m = q + g. Which is greater: 0.3 or m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - o = -5, 967 = -l + 5*o + 968 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c - 6 - 11*c + 0*c + 16 + 0.\nAnswer: -5*c + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308508?\nAnswer: 2, 3, 47, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**2 - 4. Let q(y) = 24*y**2 + 33. Let u(n) = -33*j(n) - 4*q(n). Let t(v) = -28 + 51 + 16*v**2 - 23. Determine t(u(i)).\nAnswer: 144*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 48247, 48510, 48949, 49564?\n\"Answer: 88*t**2 - t + 48160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -3*o**6\/2 - 9*o**2\/2 - 2. Find the second derivative of j(u) wrt u.\nAnswer: -180*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -1\/127 (c) 1\/8 (d) -2 (e) 0 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/12)\/((-18)\/(-24))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12531?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -1) + 1 + (-37 + 58 - 37).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-22)\/(-44))\/(1 - (0 + 2)). Sort t, 1\/3, -350 in descending order.\nAnswer: 1\/3, t, -350","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87999800 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 4)\/((-1)\/(-4)). Solve -7 = -i*w + 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12174 (base 8) to base 13.\nAnswer: -2505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 < -72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*y + 609 - 174 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/4)\/(190\/684)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*v - v - 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -72827, -291541, -656139, -1166621, -1822987, -2625237, -3573371?\n\"Answer: -72942*d**2 + 112*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5169, -4867, -4039, -2421, 251, 4241, 9813, 17231?\nAnswer: 26759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, q: 1, y: 7, p: 2}. What is prob of sequence pyyy?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351295 is divided by 206.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**2 - 5*n + 4. Suppose 8 = -4*q + 6*q. Calculate the lowest common multiple of (7 + -5)*(q + 0) and m(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 22. Let n(v) = 7*v - 111*v**3 - 118*v**3 + 5 + 340*v**3 - 19*v - 112*v**3 - 10*v**2. Calculate the remainder when 63 is divided by n(g).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -159 - -701. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*z - 22, 5*z + k = -k + 33. Suppose -z*v + 4 - 24 = -5*w, -w = -5*v. Suppose 0 = -p + 2 + w. Solve j = -4*c - 4, 4*c - p = -15 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4 - (4 - (-5 - (-14204)\/1080)) and 73\/42.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 10*j**2 - 3. Suppose 9*n + 19 = 2*o + 12*n, 0 = -o - 4*n + 22. Let y(s) = -41 + 17 + 24 + 2*s**o. Calculate b(y(w)).\nAnswer: 40*w**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 - 11 = -48*l. Suppose 3*o = -l*p - 9, -8 - 5 = 4*p + 5*o. Solve p*h + 3 = -6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 495\/198*12\/(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-260)\/(-25))\/(2\/(-10)) + 2. Let t = g + 74. Calculate the greatest common factor of 60 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0636 - 5.0636. Which is the second biggest value? (a) 2 (b) y (c) -61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -3.788. Let f = -0.112 + j. Put 10, f, -0.2 in increasing order.\nAnswer: -0.2, f, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 1.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/62 and 4\/11.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -712*c = -1560 - 400 + 536 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 6:15 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -9*i**2 - i - 1. Let x(r) = 74*r**2 - 12*r - 133. Let l(g) = -15*g**2 + 2*g + 24. Let d(k) = 11*l(k) + 2*x(k). Calculate 4*d(t) - 7*z(t).\nAnswer: -5*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(32)\/sqrt(4)) + 1 + sqrt(3) + -5 - (-3 + (-3 + (-1 + sqrt(3) - sqrt(3)) - sqrt(3))).\nAnswer: 3 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55269 is divided by 54943?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 12 = -4*v, -2*u + 6*v - v = 15. List the prime factors of (-8)\/(-36) + u + (-500)\/(-18).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 24*d - 316. What is n(10)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 4*s - 227, 43*d + 43*d = 85*d - 2*s - 111 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 36 = -4*t, t = 23*k - 26*k + 15. Suppose 13*i - 3*n + t = 15*i, -3*i + 4 = 2*n. Sort 18, i, -5 in descending order.\nAnswer: 18, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 22 + (-11 - (0 + -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2)*(-2*t + t - 4*t + (-1 - 4 + 4)*(2 - 2 + t)) as m + y*t and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 - 10. Suppose -p*f + 76*f = 104. Do 22 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(204) + sqrt(204)*1 - sqrt(204))*-5*6)\/(((sqrt(144) + sqrt(144)*-2)\/sqrt(3))\/((sqrt(4) + sqrt(64))*-4)).\nAnswer: 1800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 204 and 103515448.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 2 (b) 21 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.142428 milliseconds to hours.\nAnswer: 0.00000420623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 34, -3\/2 in increasing order.\nAnswer: -3\/2, 1, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 304837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21593318 and 20.\nAnswer: 215933180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15817791 and 12941829?\nAnswer: 142360119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -556 - -556.5. Let r = 1.5 - 5.5. Put m, -2, r in ascending order.\nAnswer: r, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + sqrt(13)) + sqrt(65)\/sqrt(5) + 4 - (sqrt(468) + (sqrt(468) - (3 + sqrt(468) + sqrt(468))) + 2 + 5))**2*5.\nAnswer: -240*sqrt(13) + 905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whwhwfwfwhhhcycw. Give prob of picking 1 w and 1 h.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 11:08 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3479?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -138*m + 2. Let g(j) = j**2 + 9*j - 95. Let v be g(-15). What are the prime factors of y(v)?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*k + 16*k + 15. Suppose 4*u - 17 = -k*h, 0 = 4*h - 12. Is 3 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -20 and -13.9?\nAnswer: 6.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47671586 and 436.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74700 by -6.\nAnswer: -12450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 2:42 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27\/2 of a micrometer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + ((sqrt(91) - ((sqrt(91) + sqrt(91)*1)*4 - sqrt(91))) + 2*(sqrt(91) - (sqrt(91) - sqrt(91)*-1)))\/(-1*3*sqrt(847))) + 5)**2.\nAnswer: 112*sqrt(13)\/11 + 6761\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 17 = -4*r. Suppose 4*i = 15 - 7. Solve -6 = -3*j - v + r, 4*v = i*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*z**3 + 2)*(236*z - 115*z - 118*z + 45).\nAnswer: -6*z**4 - 90*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l + 1. Let m be w(-3). Let h = m - 13. Suppose h*k - 40 = -2*k. Solve 5*z - z - k = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 499433.8ng in tonnes?\nAnswer: 0.0000000004994338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5353 or 5312?\nAnswer: 5353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 105 = h + 7*z, -z = 1. Let f = -10 - h. Suppose -43 = -y + f. Does 35 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3899482*w**3 - 555*w**4 - 3899482*w**3 + w**4 + 2 - 2 + (-3*w + 6*w - 5*w)*(0*w**3 - 5*w**3 + 3*w**3) + 0*w**4 + w**4 + 0*w**4.\nAnswer: -549*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - 0.2. Suppose -2*f + 7 = 3. Suppose 3*p - 13 = f*s, -3*p + 2*p + 3*s + 16 = 0. Which is the nearest to 2\/5? (a) p (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 677959314.\nAnswer: 2, 3, 389, 290471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 2*w**2 - 3*w - 3. What is a(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 5*o - 8 = 0, -20080*u = -20131*u - 3*o - 57 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 704872, 2819492, 6343860, 11277976, 17621840?\nAnswer: 25375452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -255*(-663)\/(-1239810)*((-1)\/(-3) + 98\/(-96))?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1779228718 minus -1?\nAnswer: -1779228717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12223 - -12224. What is the third biggest value in -71, m, 3?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -13. Let b = r - 0.3. What is the nearest to -1\/4 in 5, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**2 + 8*b + 27. Let x be n(-7). Suppose -7*q + 183 = -x. Let s = 128 + q. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 + -74. Suppose p - 3*h - 313 = 237, -2*p + 5*h + 1101 = x. List the prime factors of p.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 74417292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 + -26. Let z be 3\/(-2)*(-196)\/21. Let n = z + h. Is 22 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 40 - -15353713?\nAnswer: 15353753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/2))**(-2)*(z\/z**14)\/(z**(1\/7)\/z) assuming z is positive.\nAnswer: z**(-92\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-56) + -4 + 210\/49\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6748673689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 - 2*h**2 - 2*h - 2. Calculate i(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 7*h + 16. Let r be x(-9). Let t(j) = 1. Let s(d) = -d**2 - 1. Determine r*s(u) + t(u).\nAnswer: 2*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/132 and (-25)\/((-23100)\/48)*-1?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23b3 + 2f61?\nAnswer: 5314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*q - 5*s, -3*q - 4*s = -21 + 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 519 (base 15) in base 5?\nAnswer: 14044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3298, 4133, 5526, 7477, 9986?\n\"Answer: 279*d**2 - 2*d + 3021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*j**2 - 3*j + 3*j + 0*j in the form s*j + u*j**2 + x and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(1\/(-1)))\/2. Let g(c) = 20*c. Let u(z) = -53*z + 1. Let o(m) = 3*g(m) + u(m). What is o(s)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 1. Let j(r) = 3*r**2 - 4 + 2 + r - 5*r**2 + 4. Let z(w) = -w**2 + 1. Calculate k*j(c) - 3*z(c).\nAnswer: -c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from goyooyogaoggguyu. What is prob of sequence ay?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -5 + 3 - -4) + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1 - (18 + -11) - 0) + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 17, -1, -23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -716 - 5477?\nAnswer: -6415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -2819.\nAnswer: 5638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2*-2.8.\nAnswer: -3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 433\/5 + -87. What is the second smallest value in 1, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/12*138\/(-2). Let s = 42 - c. What is the highest common factor of s and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from {q: 1, z: 1, v: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -44178315 divided by -8835663\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 62 + 38 - s**2 - 2*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -697660 plus -1.4?\nAnswer: -697661.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 5. Let i be x(0). Let o = -4 + i. Solve 2*g + o - 3 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 54*o - 384. Give r(6).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = 17*i - 472. What is the derivative of -43 + 133 + 6 + 70*j**4 + i wrt j?\nAnswer: 280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.07 + 0.97. What is the closest to u in -2, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105929*b**3 + 15*b**2 - 15*b**2 + 80000*b**3.\nAnswer: 185929*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2432) + -1*sqrt(2432))\/(-2*(sqrt(2) + sqrt(6)\/sqrt(3))))**2 - -5*(-6*(5 + (sqrt(19) + 0 - sqrt(19))))**2.\nAnswer: 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 42\/(-9) + 5 - 8082\/27. Do -298 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8407 is divided by 8396?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1447 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*x - 8 = 0, 3*g + 0*g + x - 48 = 0. Suppose -2*b + 5*c + 7 = 0, -3*c + 2*c + g = -5*b. Sort -2, b, -5 in descending order.\nAnswer: -2, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4.940975 milligrams?\nAnswer: 0.000004940975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2\/49))\/(a*a\/a**21))**(-15\/7) assuming a is positive.\nAnswer: a**(-14670\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t + 3. Let i be n(0). Let o be (5 - (-9)\/i) + -4. Factor -1\/4*a**5 + 0*a**o + 0*a**2 + 0*a + 1\/4*a**3 + 0.\nAnswer: -a**3*(a - 1)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 261095464?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1\/3, 7, 2\/33, -1\/9, 0.7?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -234 + 232. Let k be (45\/(-12))\/(-5 - a) - 1. Find n such that k*n**4 + 1\/4*n**2 + 0 + 0*n + 1\/2*n**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 2. Let f be x(4). Let y be 4\/f + (-1164)\/(-9). Suppose -2*h + y = -5*k, -4*h + 5*k + 0*k = -240. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/5))**(-19)\/(p**(-5)*p**(4\/9))*(p\/p**(1\/7)*p**(-6\/5)*p)**(13\/5) assuming p is positive.\nAnswer: p**(-2104\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15235748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 2:42 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -79, 4 in ascending order.\nAnswer: -79, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 0 + 2\/13*n**3 - 10\/13*n - 8\/13*n**2 = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7926 - 55764 = -33*i. What are the prime factors of i?\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 12, 26, 46?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -310 + 309.916. Let m = g + 0.184. Let f be 0 + -2*(-6)\/28. What is the nearest to 2\/3 in -3\/5, m, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43478 or -42938?\nAnswer: -42938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -212854817*z**3 - 371926675 wrt z.\nAnswer: -638564451*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a factor of 106338916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) 3\/53 (c) 1\/4 (d) -8 (e) -4 (f) 103\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.44*-0.02.\nAnswer: -0.0088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6*m. Suppose 4*s + 0*s - 5*n - 28 = 0, -3*n = s + 10. What is b(s)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 6*f - 2. Let i(t) = -7*t + 3. Let a = -410 + 406. What is a*i(p) - 5*q(p)?\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*c**4 + 91*c**3 + 1808*c wrt c.\nAnswer: 192*c**2 + 546*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -130 + 157. Put 2, y, -1, -4 in decreasing order.\nAnswer: y, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97*775.\nAnswer: -75175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(5\/(-24))\/((-26)\/104)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68488*v**5 - 69*v**2 - 20*v - 1?\nAnswer: -4109280*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 44411 - 56517\nAnswer: -12106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 84031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -9\/68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.92444 - 0.07556. Let r = -1.5 + -1. Which is the second smallest value? (a) f (b) -4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2855879 + -1.\nAnswer: -2855880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/71755 and -41\/6350.\nAnswer: 717550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1481 = -28*l + 953 + 1228 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 - 21 + 9 + 12.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/3))**(-1\/27)\/(((y*y**(1\/2)\/y)\/y)\/y)**(-18\/5))**(-14) assuming y is positive.\nAnswer: y**(30548\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 133*m**4 + 172*m**4 - 85*m**4 + (-3*m**3 + 2*m**3 - m**3)*(2*m + m - 5*m) as u*m**2 + r*m + d*m**4 + c + t*m**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442656321.\nAnswer: 3, 23, 61, 251, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 7*a**2 + 18*a + 140. Let c be k(-8). Calculate the greatest common divisor of 260 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136350619 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.4, -5, -2, 0.56?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 14*t**2 - 121*t + 35. Let a be d(-19). Solve -a = h - 535 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 3*n + 8 + 3*n - 4*n + 10.\nAnswer: 2*n + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 - 12*b**2 + 12*b - 9. Let m be g(5). Let s(p) = -p**2 - p. Let t(l) = 2*l**2 + 8*l - 1. Let q(y) = m*t(y) + s(y). Calculate q(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from gdcgcddggdgjpj.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - 206*b - 2. Let a(y) = y**2 + y + 1. What is 2*a(z) + i(z)?\nAnswer: 4*z**2 - 204*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18672 and 40?\nAnswer: 93360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 169 - 168. Is (6\/3 - m)*(9 - -9) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - (-4 - (2 + 1)). Suppose l*s = -2 + 10. Suppose s*b = -5*f - 2*b - 17, 3*b + 9 = 0. Which is bigger: -3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 16. Let z(k) = k**3 + 3*k**2 + 2. Let h be z(-3). Let w(p) = -p + 0 + 4 + 2 + h. Determine w(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33.87 - 34. Let m = -2.43 - n. What is m rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/29656372 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-42)\/(-315) + 1194\/995. Determine r, given that -4 + 8\/3*r**3 + 16\/3*r**2 - x*r**4 - 8\/3*r = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4842084 + -4842083.2000014. Let g = 0.8 - l. What is g rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p - 4. Suppose -3*x = 3*q - 72, -q + x = -15 - 13. Let u = -26 + q. Let f be (-10 - (u + -4))*-1. Let b(w) = -7*w - 5. Give f*i(t) - 5*b(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6185647.\nAnswer: 13, 31, 15349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*v - 13*v - v**2 - 22*v in the form a + p*v**2 + r*v and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30628 by -19.\nAnswer: 1612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1445025?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 463 less than or equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 29*i + 108. Solve -m = 1 - i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13722683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + (sqrt(209) - (-3*2*sqrt(209) - sqrt(209))))\/(sqrt(11) + (2*sqrt(132))\/sqrt(12)) - (5*2*sqrt(228))\/(-1*sqrt(12)*-2).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/7 - (-2)\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/4902 and 42\/43.\nAnswer: 4902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {m: 3, h: 7, a: 3}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9429.1 + 9429. What is the third smallest value in o, -0.3, -16\/19, 1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2284.3 - -2284. What is the closest to -0.0329 in 2\/3, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 - 2*u - 1. Let g be a(2). Let 6*f**4 - 10*f**3 - 4 - 7*f**g + 17*f - 2*f**4 = 0. What is f?\nAnswer: -1, 1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -82 - -238?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 55752448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 22*p**2 + 94*p - 11. Suppose r = 5*u - 27, 0 = 3*u + 4*r - r - 27. Let q = 3 + u. What is the lowest common multiple of q and j(-16)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -480, -619, -866, -1233, -1732, -2375, -3174, -4141?\nAnswer: -5288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0124855059 to 6 dps.\nAnswer: 0.012486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -7) + (-5 - (-6)\/3). What is the third derivative of 100*q**g + 20 - 23*q**2 - 20 wrt q?\nAnswer: 2400*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 13*f**2 - 2. Let t(b) = -2*b**2 + 2*b. Let c be t(2). What are the prime factors of z(c)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-8) - (-2)\/8. Let l(m) = -4*m + 13. Let r be l(7). Let j(f) = -f**2 - 15*f + 1. Let w be j(r). What is the highest common factor of d and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1176, 12053, 41956, 100401, 196904?\nAnswer: 340981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12054?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2. Let o(y) = 9*y**2 + 4*y. Suppose 3*j + 11 = -1. Let x(h) = 19*h**2 + 9*h. Let l(m) = j*x(m) + 9*o(m). What is l(f(n))?\nAnswer: 5*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32269.\nAnswer: 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/4)\/((-2)\/4). Suppose -j*o = -0*o. What is s in -1\/3 + 1\/3*s**2 + o*s = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57377?\nAnswer: 181, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05678658 rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -414, -792, -1168, -1542, -1914, -2284, -2652?\nAnswer: -3018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-68000)\/(-1224) + -39 + -9\nAnswer: 68\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*p**2 - 31*p**2 + 847*p - 21*p**2.\nAnswer: 36*p**2 + 847*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1323)\/36 + (34 - -1)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -3 + sqrt(1573))*5)**2 + 1 + 5.\nAnswer: -4400*sqrt(13) + 40931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476 = -147*c + 215*c. Solve 2*l = -y - c, -3*y = -2*l + 5 + 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -297 and -20.\nAnswer: 5940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 3. Suppose 10*v = s*v + 6. Suppose -x + 23 = v*c, 0 = 3*c - c + 4*x - 8. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 11*q + 1. Let o be (8\/4 - 4)\/(-2). Let z = 70 + 37. Calculate the remainder when z is divided by w(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 19, 18, 15, 10, 3, -6, -17?\n\"Answer: -q**2 + 2*q + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 13*n**3 + 9*n**2 + 7*n - 263. Let m(y) = -12*y**3 - 8*y**2 - 6*y + 265. Give -6*b(o) - 7*m(o).\nAnswer: 6*o**3 + 2*o**2 - 277","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-15)\/(-40)))\/((-6)\/9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 662510 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-468)\/8)\/9)\/((-12)\/24).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*o**4*r - 8053*o**4 - 3*o**2 - 75*o*r + o + 7*r + 1 wrt o.\nAnswer: 480*o*r - 193272*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60416064 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 5*h**2 - 3*h - 5. Let f(v) be the third derivative of 0*v - 1\/24*v**4 + 0 - 3*v**2 + 5\/2*v**3. Let t be f(9). What is a(t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwkkwwmsmmmmmmwykwsr. What is prob of picking 2 s and 1 m?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 181*v + 1. Let p be f(2). Let l = 316 + p. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000073758 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 7*q - 24. Let t be u(-7). Let f be ((-8)\/(-3))\/(-4)*t. Suppose -78 = -f*s + 13*s. Is s a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -28*j + 13. Let t be y(-14). Suppose 0 = -5*h - 4*h + t. Let b = -13 + h. What is the smallest common multiple of 32 and b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 59\/(-2))*-2. Let v = q + -41. What is the lowest common multiple of v and (-18)\/(-5) + 4\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbosbbrr. What is prob of sequence brrb?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 10 = -2. Let a be 1\/q - (-7)\/(-3). What is the units digit of (-2 + a)*2\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 5. Suppose c*v = 170 + 110. Let w(k) = -3*k - 1. Let m be w(-5). What is the greatest common divisor of m and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, 11, -311 in decreasing order.\nAnswer: 11, 0, -6, -311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6732 + -6731.1. Is 456 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -10 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**6\/30 - b**5\/15 - 2*b**4\/3 + 8*b**3\/3 + 7*b**2. Factor m(i).\nAnswer: 4*(i - 2)*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.069 minus 74?\nAnswer: -73.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -118 + 117.931. Let m = u + 3.669. Let r = m + -3.6. What is the nearest to 2\/5 in 1\/5, -3\/4, r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2*sqrt(160)*-1)\/(sqrt(288)*-2*-4))**2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**4\/3 + 3*j. Let w(y) be the third derivative of -1\/24*y**4 + 0 + 0*y**3 + y**2 + 0*y. Calculate u(w(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 6 (b) 1\/2 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 5. Calculate the remainder when u is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 12*w + 44. Let k be j(5). Let f be (744\/k - 7) + 21454\/143. Let g = -150 + f. Sort -1, g, -0.5, -3 in increasing order.\nAnswer: -3, -1, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5663*w. Let m(f) be the first derivative of -f**3\/3 + 5176. Determine m(d(z)).\nAnswer: -32069569*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-119)\/(-35) + (-3)\/(-5). Let i(c) = 177*c + 2. Let t be i(b). Round t to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11207*o**2 - 767*o**2 + 10910*o**2 - 17573*o**2.\nAnswer: -18637*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 0*z - z + 53*z**3 + 390*z**3. Let b be f(1). Suppose -2*v + b = -5*s, -4*v = -2*s + 6*s - 828. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60\/49 + 17\/49. Which is the second smallest value? (a) h (b) 0 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/11 + 7916*n**3\/11 - 15838*n**2\/11 + 720*n.\nAnswer: 2*n*(n - 1)**2*(n + 3960)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 3c9d?\nAnswer: -3ca0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 n, and 1 z when three letters picked without replacement from zzrrnrrz?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 2*z - 4 = 0, -2*n + z - 8 = 5*z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-2)*((-255)\/110)\/17.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 30*r - 18. Suppose -4*y + 55 + 35 = -2*j, 20 = -j - 3*y. Let g = j + 39. What is the hundreds digit of s(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a microgram in nanograms?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*k - 0*k - 57, 5*k = -b + 8. Suppose -b*g = -8*g - 360. Calculate the remainder when g is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -135 + 137. Which is the closest to r? (a) 2 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 348*c**2. Let o(r) = 12*r. Calculate p(o(m)).\nAnswer: 50112*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*q + 24373 = 2*b + 97*q, 4*q = -3*b + 36551. Suppose -7*a = -b - 282. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, 201.3, 0.6848 in decreasing order.\nAnswer: 201.3, 0.6848, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 9:23 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5\/3, 0.02, 0.46, -1.02, -4?\nAnswer: -1.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 208 + 2. Let t(g) = -2*g**2 + 4*g + 4*g**2 - g**2 - n + 41. What is t(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 9, w: 3}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 4*c + 2. Let n be f(5). Let a be (n + -16)*2\/6. Let v(o) be the first derivative of o**3\/3 + 3*o**2\/2 + 3*o - 1. What is v(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*x - 34. Suppose 3*b - 5*b = -x. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 1 = 2*t - 4*z, 2*t = 2*z + 2. Let d be 29*((0 - -3) + t). Suppose -3*o + 4*p + d = 0, o + 5*p = 6*o - 50. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (12 - (-2 + 5))) + -6.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krtkkrrktk. What is prob of sequence rr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(114)\/(sqrt(6) + sqrt(24)\/sqrt(4)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 minus 459?\nAnswer: -469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/7))**(-8)*(l\/l**(2\/9))\/l**(-5) assuming l is positive.\nAnswer: l**(220\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 680 and 469400.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*b - 95. Let z be -2 + 5 + (1 + 3 - 4). Let x = z + b. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - -9*(-6 - -4). Let f(z) = 26*z**3 - z**2. Calculate the lowest common multiple of (-660)\/(-18)*(-24)\/v and f(1).\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 1. Find the first derivative of 4*v**3 + 7 - 5*v**o + 14*v**3 wrt v.\nAnswer: 39*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 10*r - 26 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122794 is divided by 136.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 624 is divided by (-12)\/(-22) + (-65700)\/(-550)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 516 - -16. Suppose 0 = -2*w - 2*i + 526, 2*w - j = i - 0*i. What are the prime factors of w?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585331534.\nAnswer: 2, 29, 10091923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -0.579, -4\/7, 4, -4, -3?\nAnswer: -0.579","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 2 - 2)*(f - 3 + 3) - f**2 + 5*f**2 - 3*f**2 + (-3*f + f + 3*f)*(16*f + 26*f + 50*f).\nAnswer: 94*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4250 + 5?\nAnswer: 4255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*o - 2*i, 19 - 2 = -o - 4*i. Let p(n) = 4*n - 3. Let a(j) = j - 2. Let c(d) = -3*a(d) + p(d). Calculate c(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2285852101?\nAnswer: 13, 175834777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65766.\nAnswer: 2, 3, 97, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, r: 3, w: 6, k: 8}. What is prob of picking 2 w?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 114 = -7*r - 8*m - 468, 485*r - 490*r = m + 254 for r.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**2\/6 + 76*f\/3 - 2888\/3 = 0. Calculate f.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 2963 = 4*y + 3013, 12 + 24 = -3*y - a for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-8))\/z**(2\/29))\/(z**(-1\/3)\/(z*z**(-2\/9)*z)))\/((z**(1\/3))**(-4\/7)*(z**(-2\/3)*z*z)\/(z\/((z\/z**1)\/z))) assuming z is positive.\nAnswer: z**(21740\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (-36 + -22) - (23 - -12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**8\/336 + h**4\/24 + h**2\/2 - 1. Let g(w) be the second derivative of y(w). Find the second derivative of g(t) wrt t.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**4 - 36*o**3 - 105*o**2 = 0 for o.\nAnswer: -7, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15281457*w**4 + w**3 + 5*w - 210094.\nAnswer: -183377484*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is h in -7*h**5 - 4632*h**4 + 1345*h**3 + 13882*h**2 - 13236*h + 2648 = 0?\nAnswer: -662, -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 12:45 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 9*h**3 - 14*h**2 - 36*h - 25. Determine d(-4).\nAnswer: -681","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -71, -49, 7, 115, 293, 559?\n\"Answer: 3*u**3 - u**2 + 4*u - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -325, -361, -411, -475, -553, -645, -751?\nAnswer: -871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**3 - 19*r**2 - 5*r - 5. Let i(x) = x**3 + 10*x**2 + 3*x + 3. Let t(p) = 3*b(p) + 5*i(p). Find the third derivative of t(a) wrt a.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 9:21 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122678, -121847, -121016?\nAnswer: -120185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 + 6*l - 6. Let q(o) be the first derivative of -o**3\/3 + o**2\/2 + 2. Let h(b) = -f(b) - 3*q(b). What are the prime factors of h(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(6*(sqrt(175)\/(sqrt(21)\/sqrt(3)) - sqrt(175)\/(sqrt(28)\/sqrt(4))))\/(-1*2*(sqrt(5) - (sqrt(320)*-2 - sqrt(320)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2537, -10302, -23339, -41648, -65229, -94082?\nAnswer: -128207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 586 and 222220283?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.12, -0.3, 9702, 21?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5416 and 300623204?\nAnswer: 2708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1871 divide 46654988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/24 and 35\/54161372?\nAnswer: 324968232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 707*w - 7497 = 13292 + 17389 for w.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**5\/30 - o**2. Let u = -32 + 30. Let p(j) = j**2 - 11. Let h(m) = -1. Let f(k) = u*p(k) + 22*h(k). Determine v(f(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*l**2\/21 + 10310*l\/21 - 100700\/7.\nAnswer: -2*(l - 30)*(4*l - 5035)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.263, -1\/5, -38, 0.3 in ascending order.\nAnswer: -38, -7.263, -1\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 12*g**2 - 21*g - 14. Let o(n) = 2*n**2 - 3*n - 2. Let a(t) = -f(t) + 7*o(t). Let r(c) = 4200*c**2. Give r(a(s)).\nAnswer: 16800*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**2 + 6*y - 6. Determine v(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -492414.17 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from pppppppeppeepppp?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, t: 1, n: 1, x: 1}. What is prob of sequence xlt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 12:31 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 659, 2426, 5333, 9404, 14663?\nAnswer: 21134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/(-21))\/((-1)\/(-7)). Let i(q) = -2*q - 8. Let u be i(d). What is the units digit of (1 - -5)*u\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2. Let v(w) = -11*w + 3. Let q(d) = 22*d - 7. Let n(x) = 3*q(x) + 7*v(x). What is k(n(u))?\nAnswer: -121*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (0 + -3 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1648805 by -4.\nAnswer: 1648805\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.587 and -18187.\nAnswer: -10675.769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -187, -278, -361, -430?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/202007, -5, 1\/77?\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 245046339 to the power of 1\/3, to the nearest integer?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + j = -7 + 25, -3*j = -4*h + 10. Let l(d) be the first derivative of 3*d**2 + 3\/4*d**h + 1\/10*d**5 + 13\/6*d**3 + 8 + 2*d. Factor l(i).\nAnswer: (i + 1)**2*(i + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5271*s + 286 = -5249*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b46cd - 5?\nAnswer: 1b46c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 8 = -4*y, -5*y = -c + 3*c + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 315654875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2864.3 less than -3.9?\nAnswer: -2868.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.231 + 2.231. What is the smallest value in -0.41, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 111.975 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9416)\/(-20116)*-1034*1\/(-8)*-2.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3 + (-1406)\/57. Let d be 0 - 16\/x - (-10)\/(-6). Let f = -0.4 - -0.3. Which is the closest to d? (a) f (b) 0.5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*i + 20 = -30*i, -3*q + 7 = -12*q + 4*i for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164780 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (3\/2)\/((-6)\/(-32)) and (-37)\/(-7) - 2\/7?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 16 = -1. Suppose -8*k = -y*z - 4*k + 226, -5*k - 5 = 0. Suppose -5*h = j - 37, j - z = -j + 2*h. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-3)\/6)\/((-142)\/(-48) + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**3 + 1709151*t**2 - 243413438640*t - 5599413266100 = 0.\nAnswer: -23, 284870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q**3 - 26*q**2 + q + 114. Give i(-7).\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 6 = -u - 10, -5*x - 3*u = -20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -134 - 3*f - 2*f + 15*f - f - 6*f. Calculate d(45).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**3 - 17*h**2 + 554*h + 78. What is the units digit of x(21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0, -3, -33, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2668 is divided by 167?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 7:36 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 777672 and 162?\nAnswer: 6999048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2734428, 5468854, 8203280, 10937706?\n\"Answer: 2734426*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(7\/8)\/s)**31)**(-2\/113))**(11\/7) assuming s is positive.\nAnswer: s**(-341\/452)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143750 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 4*p + 36, 0*k + 2*k - 2*p - 6 = 0. Suppose 26 = 5*o - 19. Calculate the greatest common factor of k and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01986667 to 5 dps.\nAnswer: -0.01987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99 divided by 4.\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**2 - 26*u + 67 - 13 + 4*u**2. Let m be t(24). What is the tens digit of (33\/m - 4)*(-2 - -60)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23 + -3?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 515115 and 57177765?\nAnswer: 57177765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1619*j + 516 with respect to j.\nAnswer: 1619","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1597*-558.5.\nAnswer: 891924.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28.32 - 26.72. Which is the smallest value? (a) 5 (b) -3 (c) -1\/4 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/2008 and 31\/4.\nAnswer: 2008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjm when three letters picked without replacement from jjjjjjjjajjjmjj.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -19 - 1. Let m be (-3)\/3 + 11*1. Suppose 0*d + m = v*d. Solve -d*s - 4 = 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7069 - -15548. What are the prime factors of l?\nAnswer: 3, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 125425 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/17, 0.03, 0.5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39384 != 39385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1736.74 and -3772.\nAnswer: -2035.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u + u**2 - 1)*(7 - 11 + 24) - 3*u + 3*u - u**2.\nAnswer: 19*u**2 - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -456125740 divided by -5\nAnswer: 91225148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 + -0.2. Suppose 0*n + 5*n = 0. Which is the nearest to n? (a) m (b) 4 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/(-40))\/((378\/(-15))\/6). Put 0, 4, n, 1\/2, -1 in descending order.\nAnswer: 4, 1\/2, 0, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8+-85.953\nAnswer: -77.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 2\/69 (c) -1895 (d) 1\/6 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t**2 + 29*t - 5. What is the tens digit of n(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14238, 74.6, 2 in ascending order.\nAnswer: 2, 74.6, 14238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1294765.86 plus -2.3?\nAnswer: -1294768.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8524*l**5 + 4*l**3 + 79*l**2 + 90193*l - 1394.\nAnswer: 170480*l**3 + 24*l + 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/2 + 198*o**2 - 19602*o.\nAnswer: -o*(o - 198)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 4*b + 45. Let k = 8 - 5. What is the highest common divisor of k and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5 = -5*c + w, 5*c - w = 5. Let p be 2\/((-2)\/c) + 3. Suppose -8 = -2*g - p*g. Solve 0 = 2*f - 3*k + 7, g*f + 2*k = -2*f + 26 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*j**(3\/5)*j)*j)**(-2\/13)*(j**(-9)\/j)**(3\/4) assuming j is positive.\nAnswer: j**(-943\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22469608 to the power of 1\/2, to the nearest integer?\nAnswer: 4740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5127 - -3060. Let z = -1122 - f. Is 27 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -11*t**2 - 3*t - 5. Let p(u) = 5*u**2 + u + 2. Let x be (-4 - (-14)\/4)\/((-2)\/8). Let h be (1 + -2)*(-7 + 0 + 2). Give h*p(d) + x*l(d).\nAnswer: 3*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*z - 851 = 62*z + 2470 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2643, 5279, 7903, 10509, 13091?\n\"Answer: -p**3 + 2643*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/7)\/(m*m**(1\/10)))**(-1\/26)\/((((m\/m**1)\/m)\/m)**(-40)*m**(-5\/6)*(m\/m**(-2)*m)\/m) assuming m is positive.\nAnswer: m**(-448459\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 2*h - 2*c + 22 = h, -268*h + c = -268*h + 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/49 and 65\/340256?\nAnswer: 340256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 486 and 1158.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 17*d**2 + 18*d + 2. Let y be h(18). Solve -y*l - l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -233 - -238. Suppose 5*s = k*i - 15, 5*s - s - 12 = -2*i. Solve 5*y = i*l - 12, 3*y + 11 + 9 = -4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9089b0 (base 12) in base 8?\nAnswer: 10463624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -7*a + 7 + 1 + 5 - 3 - 5. Let b(c) = 8*c - 4. What is 5*b(o) + 4*p(o)?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 2:53 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**3 + 2*q**3 + 2*q**3 - 2*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 7*n - 2*n = 5, -3*g = 5*n - 40. Calculate the remainder when g is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -11 - -10 - -2*2. Let s(m) = m**2 - 6 + 3 + j. Let t(c) be the third derivative of c**5\/4 - c**3\/3 + 19*c**2. Calculate t(s(o)).\nAnswer: 15*o**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3086 - 37001\/12. What is the common denominator of -3*(-1)\/((-30)\/71) and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00714091 rounded to five decimal places?\nAnswer: -0.00714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from jjajhjhajjgtjjuujjjj.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67916?\nAnswer: 2, 16979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 358746105?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 86 = -2*y + 5*y, 4*i - y = -82. Let a = 75\/4 + i. Calculate the common denominator of 23\/126 and a.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.4 times -0.1\nAnswer: -1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-68))\/((-13)\/((-1820)\/1085) - 9).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 - 824*b - 17264. Determine r(-20).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*y. Suppose -5*b - 4*v + 39 = y, 4*b + b = -5*v + 40. Suppose -b*l + 2*l = j + 2, 12 = -3*l + 3*j. Sort 6, l, -4 in descending order.\nAnswer: 6, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124244 + -114?\nAnswer: 124130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-14)\/3)*(-329)\/564\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4854426 - 11*w - 4854427 + 9708853 + 14*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -3.6, -0.1 in decreasing order.\nAnswer: 15, -0.1, -3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 10*f - 13. Let b be c(-11). Find the common denominator of (81\/(-8))\/((-1)\/(-4 - b)) and 17\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 63*f - 64.\nAnswer: (f - 64)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*165\/300*-4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 63\/(-2)*(-6)\/9. Let v = g - 12. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 * -27862\nAnswer: 1643858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t - 4. Let s be g(6). Solve -1 - 1 + 2 - 21*b - 3*b**3 + 9 + 15*b**s = 0 for b.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * 15.\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {f: 1, e: 1, w: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 297 + -296. Sort q, -0.4, -1\/3, 0.2 in increasing order.\nAnswer: -0.4, -1\/3, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17)\/(-7) - 9\/21. Let a be (y - 2)\/(3 + -1). Solve 2*z + z + 6 = a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 4*d - 11)*(5*d - 3*d + 0*d)*(-1065*d - 59*d + 59*d) in the form g + p*d + s*d**2 + l*d**3 and give l.\nAnswer: -8520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/31 (b) -16.6 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365 = -3*w + 4*y, -50 = 2*w + 3*y - 316. Let b = 337 - 210. Differentiate w*k - b*k + 7*k**4 - 2 with respect to k.\nAnswer: 28*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -w**5\/20 + w**4\/4 + 88*w**2. Factor m(v).\nAnswer: -3*v*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvfvvvf. What is prob of sequence vf?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j*q**3*t**3 + 53*j*q**3*t**2 - 29*j*q*t**3 - 4*j*t**2 wrt t?\nAnswer: -6*j*q**3 - 174*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8039331?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1816186.65+-37.146\nAnswer: 1816149.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 111*p**2*s + 678*p**2 + 2*p*s + 14*s - 5 with respect to s.\nAnswer: 111*p**2 + 2*p + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127 - 127 + 271*l)*(2*l - 5 + 1 + 2 + (l - l + 5*l)*(3 - 5 + 0)).\nAnswer: -2168*l**2 - 542*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -13*j + 30. Which is the smallest value? (a) -1\/4 (b) 2\/9 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 853092 and 8.\nAnswer: 1706184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b5 + -2?\nAnswer: -1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -m, -5*z + 5*m - 14 = -4*z. Let h = -2 + 6. Which is the closest to z? (a) h (b) 0.2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 410 and 166.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 89*u**3 + 2*u**2 + 11*u. Let r(a) = -1695*a**3 - 39*a**2 - 210*a. Let k(c) = 117*f(c) + 6*r(c). Find the second derivative of k(l) wrt l.\nAnswer: 1458*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 + (19 - 29) + 11 - (1 - (1 - -2)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(254*l**2 - 11 + 4 + 7).\nAnswer: 508*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 710676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.79594 decades to millennia.\nAnswer: 0.7879594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 25 - 31 - (-3 + 5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 26 - 28 = 0, 4*y - 76 - 124 = -14*d for y.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Let i = 6483 - 6435. Solve -i = -2*t - 46*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71381*d**3 + 23791*d**3 + 23793*d**3 + 23801*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 46 = -0*y - 2*y, -11 = -3*n - 5*y. Suppose -n*b = -16*b. What is the closest to 7\/3 in b, -6\/7, -1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/10)\/x**12)**(1\/10)*(x*x**(4\/9)*x)\/x*x*x**(-1\/2)*(x**0\/x)**(-1\/7) assuming x is positive.\nAnswer: x**(5779\/6300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.119? (a) 6 (b) -75 (c) -312\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + m - 2116, 2*h + 5*m - 3840 = 401. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1030831 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 916579*l**4 - 4*l**2 + 139*l - 204 wrt l?\nAnswer: 21997896*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 2:05 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3155 is divided by 450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*y = 4*w - 50, -3*y = -2*w + 32. Calculate the remainder when 51 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-14)*(-44)\/(-154)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 11:08 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - 20. Calculate the least common multiple of 18 and k.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r + 13*r + r**2 + 17 - 7*r)*(0 + 0 - 6*r) as f + z*r**3 + w*r**2 + o*r and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26432873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -256 + 261. Solve -f*g + 4*c = 8 + 6, 4*g - 3*c = -11 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/5 + 113\/5. Suppose -16 = -4*z, -m = -2*c - 3*z - 7. Suppose -3*q = -5 + 2, -3*q = -c*r - 1. Is r bigger than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1868133, -1868126, -1868113, -1868094?\n\"Answer: 3*a**2 - 2*a - 1868134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -24, -17, -10, -3, 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/10 in 8, 1, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -453941 by 1.\nAnswer: -453941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*j - 117 = 0, 3*s + 2*j - 32 = 38. Suppose 0*a + 4*a = 24. Suppose -s*d + 21*d = -a. Solve -3*i - 3*u + 27 = -7*i, 5*i + d*u + 5 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 8722 = 2*d, 0 = 18*d - 14*d - 5*l - 17446. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1584, 33, -19 in decreasing order.\nAnswer: 1584, 33, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -1147*f**7\/42 - 217*f**3 + 87*f + 9. Find the second derivative of n(w) wrt w.\nAnswer: -22940*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-537)\/(-13)) + (8754\/18967)\/((-6)\/(-4)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 767 = -781 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 14*k**2. Let c(l) = 952*l. Give y(c(p)).\nAnswer: 12688256*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**3 + 10*p + 3. Let m(d) = 3*d**3 - 21*d - 5. Let z(t) = 3*m(t) + 5*q(t). What is the second derivative of z(a) wrt a?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 16 = 3*u + 4, 0 = -5*u - 3*l + 16. Suppose 0 + 20 = u*w. Suppose -w*j - 20 = 0, -4*f + 31 = -3*j - 0*j. Solve -7*y + f*y - 6 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 is divided by (-18)\/(-4)*(-30)\/45 - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 1 + 11. What is the first derivative of -3*d**4 + v*d - 4*d + 0*d - 4 wrt d?\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -447.0000287 - -447. Round w to six decimal places.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 2*p + 4*p)*(-1 + 2*p**2 + 1 + (1 + 0 + 1)*(-2*p**2 + p - p) - p**2 + 0*p**2 - p**2).\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7)\/105)\/(3\/5) - 40\/936. Let m = 419\/7 - 60. Which is the smallest value? (a) -1 (b) m (c) 1\/4 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l - 1. Let w(f) = 31*f + 7. Let i(b) = 21*k(b) + 3*w(b). Let d(v) = 5*v. Calculate 5*d(p) - 2*i(p).\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -184002153.6572 + 183970845. Let c = b - -31409.65720056. Let t = -101 + c. Round t to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**8\/10080 + 7*q**5\/60 + 19*q**2. Let y(w) be the third derivative of r(w). Let x(a) = 3*a + 16. Give y(x(j)).\nAnswer: 18*j**2 + 192*j + 512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 301349\/18 + -16750. Let y(g) = g**2 - 1. Let r be y(5). Calculate the common denominator of (-90)\/r*(-31)\/5 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28507849 to the power of 1\/2, to the nearest integer?\nAnswer: 5339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 238.76, -3\/8, -1\/2, 3, 5 in descending order.\nAnswer: 238.76, 5, 3, -3\/8, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/54*4*6\/(-8). What is the third biggest value in -0.02, c, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1387.7 + 1329. Let b = 101 + v. Let c = b + -35. What is c rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 + -40.1. Which is the second smallest value? (a) 3 (b) -5 (c) -2 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 0*f + 5*f**2 - f**2 + 2 - 2*f. Calculate the remainder when -1*9*(1\/(-4))\/(519\/8996) is divided by n(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2)*(2 + -2). Suppose 3*c - 5*k = -6 - r, -k - 12 = -5*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 5*z - 2. Let q(b) = 2*b**2 + 2*b - 4. Let j be q(-3). Suppose -j*t + 4*t = -8. Suppose 14 = -4*f + t. Give h(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/90 + 1\/(-3). Let m = 8.4 - 8. Which is the second biggest value? (a) m (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) - (sqrt(1100) + 1))*-1 + sqrt(1100))**2*-6.\nAnswer: -6606 - 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 191755.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millennium in decades?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -122*h + 39*h + 747. Let z = 51 - 26. Suppose -3*j + z = 2*j. What is the smallest common multiple of h and j?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-4))\/(31\/(-62)). Suppose 2*a + 2 + 0 = 0. Let k be (-1)\/(2\/(-4) - (p - a)). Calculate the highest common divisor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 4 - 2 + 9 - 4 - 296*j**2 to q*j**2 + l*j + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 43*o*z**3 - 76*o*z - 4124744*o - 264*z**3 wrt z?\nAnswer: 129*o*z**2 - 76*o - 792*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r**2 + 2*r**2 + 3*r**2)*(0 + 2 - 1)*(3 - 5 + 3)*(17 + 42 + 55).\nAnswer: -114*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + u + 2*u + 2*u - u - 4*u + (3 + 3 - 5)*(0*u + 0*u - 2*u) + 2*u + u - 4*u)*(5*u**2 + 10*u - 10*u) - 2*u**3 + 3*u**3 + 0*u - 1 + 2*u.\nAnswer: -39*u**3 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 3*g**2 - 5*g + 4. Let h be f(4). Suppose 3*t + 2*t = 4*u - 15, h = u - t - 5. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 18441507.5\nAnswer: -18441504.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.608 and 0.6.\nAnswer: 0.3648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 375\/180)\/((-2)\/(-8)). Let f = 0.4 + -0.8. Which is the nearest to -0.4? (a) w (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from bvvbvbwbwbwbvbwwvww?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 3*s - 3. Let g be t(-4). Let d = -17 + 26. Let x be (-6)\/(3*(-2)\/d). What is the greatest common factor of x and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7712.66294 and 45.\nAnswer: 7757.66294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.747667 rounded to one decimal place?\nAnswer: -16.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2ab6 (base 12) in base 8?\nAnswer: 11652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6258700 rounded to the nearest 10000?\nAnswer: -6260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/9, -51, 21?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 - 40 = 19*q - 26. Let l(z) = -20*z**2 - 14. Let s(f) = -7*f**2 - 5. Let n(w) = 6*l(w) - 17*s(w). Give n(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*z + 164 = 85*z. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3307955 + -10?\nAnswer: -3307965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*k - 4. Let c be (-1)\/(k*2\/12). Sort c, 5, -4 in ascending order.\nAnswer: -4, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -191*r - 465. Let i(z) = 395*z + 931. Let y(k) = -6*i(k) - 13*v(k). Find the first derivative of y(c) wrt c.\nAnswer: 113","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -4 (c) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.3 + -3436?\nAnswer: -3480.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -619 = -192*d + 1352 + 525 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 12, 2, -24, -72, -148, -258, -408?\nAnswer: -604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -26804, -27734, -28664, -29594, -30524, -31454?\n\"Answer: -930*p - 25874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvev when four letters picked without replacement from vcfveeevvff.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*d = -2*f + 41, -4*f + 40 = 4*d. Suppose 5*w - d = 8. Suppose -5*l = w*b - 110, 0 = -2*b - 3*l - l + 74. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390799.\nAnswer: 89, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 17\/2. Let k(d) = 2*d + 14. Let z be k(-9). Which is the second biggest value? (a) z (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3265 = -3*l - g + 28857, l + 5*g - 8554 = 0. List the prime factors of l.\nAnswer: 3, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l = 21*l - 64. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*1089\nAnswer: -108.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 7*j**2 + 9*j - 1. Let h be z(-8). Let w be (h\/24*2)\/3. Let a = -3.2 - -0.2. What is the nearest to w in 5, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/7, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*o + 0*o = 0, -5*j - 5*o + 10 = 0. Let q be (-16482)\/(-1968) + (-15)\/(-24). Sort q, 0, j.\nAnswer: 0, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -14. Suppose 0 = h*p - 2*o - 24, p - 4*p + 2*o + 18 = 0. Solve 0*v - 2*v + p = t, 5*t = 2*v + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1486, 1489, 1540, 1663, 1882, 2221, 2704?\n\"Answer: 4*r**3 - 25*r + 1507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-25)\/(-2))\/((-1)\/(-26)). What is the third derivative of 325*z**3 - f*z**3 + 18*z**5 + 2*z**2 wrt z?\nAnswer: 1080*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -3 (b) 5 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1876369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 10:46 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 7)\/12 + 0\/(-2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/14)\/(117\/(-546))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(24\/4)*(-15)\/(-5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 38*g**2 - g - 62. Let n be r(38). Let l be 10\/n - (-1)\/(-10). Let u be (-8)\/(-6) + (-3 - -1). What is the closest to -0.2 in 4, l, u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**7\/1680 - v**6\/480 - v**5\/40 - 5*v**4\/12 + v**2. Let w(k) be the second derivative of u(k). Let w(f) = 0. What is f?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*k - 64 = 0, 5*w - 5*k - 65 = -3*k. What is the smallest common multiple of 4 and w?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 32 = -b, 27 = 2*b + 4*x - 25. Which is smaller: b or 40?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1181 is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49010?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1)*1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 1129832?\nAnswer: 564916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 765890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 4*s**2 + 2*s - 3. Let o be y(4). Suppose 0 = 3*k - 5 + 11, -k - o = -3*w. Which is the smallest value? (a) -1 (b) w (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1589070*s**3 + 10190*s - 7 wrt s?\nAnswer: -9534420*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/(v*v**(-2\/7))*v**13*v assuming v is positive.\nAnswer: v**(107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -6*w**3 - 2*w**2 + 2*w + 2. Let c be q(-2). Suppose 39*x = c*x + 38. What is the remainder when x is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2044184473 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + g + 41 = 0, -1 - 4 = 5*g. Let p = t + 11. Let u(f) = -570001*f**3 + f. Let k be u(p). What is k rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*d + 2*i - 5, 5*d - i + 5 = 0. Let n = 199 - 196. Solve n*a = -d*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -2448?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - o = 3*m + 27, 4*o = -5*m - 1. Calculate the remainder when (-1)\/7 + (-106)\/(-7) is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j. Let w(d) = -10305*d**2 - 24*d + 14. Let n(f) = -5153*f**2 - 10*f + 6. Let i(m) = -7*n(m) + 3*w(m). Give i(c(o)).\nAnswer: 5156*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10\/25*2\/20\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from puuupu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12385936 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20.65 - -2.8.\nAnswer: -17.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 12:43 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21456 divided by -12.\nAnswer: -1788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -587*x**3 + x**2 + x - 1. List the prime factors of s(-1).\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 167*n**5 - 36*n**4 - 2*n**3 - 10164*n wrt n.\nAnswer: 3340*n**3 - 432*n**2 - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*z + 5495 = 304*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.37378l in millilitres?\nAnswer: 34373.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5232, 0.05, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -22. Solve 0 = -f - 4*m + t, 0 = f + m + m - 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*i - 2*i**2 - 43*i + 6*i**2 + 24*i.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**8\/560 + c**7\/126 - c**6\/90 - c**4\/4 + 6*c**2. Let w(n) be the second derivative of y(n). Solve w(l) = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124798 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000310 (base 8) in base 9?\nAnswer: -438773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/7 + 1864182*m\/7 + 289597877427\/7.\nAnswer: 3*(m + 310697)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1724.5, 1\/9, -5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12639 and 1128.\nAnswer: 4752264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 858 (base 15) to base 12\nAnswer: 110b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98 + -97.957. Let v = c + -5.143. Let z = v - -5.5. Sort -1\/7, 0, z in ascending order.\nAnswer: -1\/7, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -7*o - 19. Let l be r(-6). What is the third derivative of -l*m**6 + 61*m**6 + 17*m**2 + 0*m**2 wrt m?\nAnswer: 4560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84025 or 84006?\nAnswer: 84006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 1.9.\nAnswer: -0.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 - 34. Let x = q - 0. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*r - 71 - 95 - 338 = 0 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k + 20. Let d be ((-21)\/(-12))\/((-4)\/(-16)). Let t be g(d). Is (524\/t)\/((-46)\/(-207)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9879252 to the power of 1\/2, to the nearest integer?\nAnswer: 3143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**6*s\/(s*s**(1\/3)*s)*s*s)\/(s\/(s**1\/s)*s)**(4\/11) assuming s is positive.\nAnswer: s**(229\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -10*q - 12. Suppose -12 = -5*k - 17. Put -3, k, -7, q in decreasing order.\nAnswer: q, k, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x - 9. Calculate b(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 658.4 - 79699613\nAnswer: -79698954.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -18. Suppose k*l - 232 = -6*l. Let f(c) = -262*c**3 - 3*c**2 - c + 1. Let s be f(-1). What is the greatest common divisor of l and s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2. Let f(q) = -9 + 9 - 4*q. What is f(s(l))?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 1. Let f be 6\/(-15) + 57\/5. Let y be b(f). Let z = -11 + y. Which is greater: z or 4\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 10:59 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3262 divided by 1631\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, 4, -202, 5 in descending order.\nAnswer: 5, 4, -5, -8, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**2 + 29*z + 30. Determine v(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9 - -9 - (1 - 4) - 5. Let r(u) = 27*u**2 + 2. Give r(h).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**7\/630 + o**5\/4 - 16*o**2. Let f(z) be the third derivative of i(z). Let d(m) = -2*m**2. Give d(f(h)).\nAnswer: -128*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by (0 + -2)*(-90)\/12?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1168*a**3 + 507*a**3 - 1149*a**3.\nAnswer: -1810*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from wvwvln?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 0) + (-113 - -114).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 342 and 41154?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/1118)\/(8\/((-80)\/(-5))).\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (q - 4 + 4 + 1)*(-8*q + 2*q + 2*q) + q - q + 2*q**2 as t*q**2 + x*q + i and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f*k**4 - 418*f*k**3 + f*k**2 + 2*f - 50*k**4 + 3*k**3 - 63*k**2 - 99*k wrt k.\nAnswer: -24*f*k - 2508*f - 1200*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -5. Let w be (-1)\/2 - 34\/(-4). Suppose 4*q = -n - w, -b - 6 = q + 2*n. Is q != -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-45)*10190\/(-119223)?\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 + (68 - (71 + -42)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 3*n + 4. Let u be (-4)\/6 - (1\/3 - 1). Let i be (4\/5 - u)\/((-5)\/(-25)). What is k(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 666448 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 339, 5, 7, -1, 15, -2 in descending order.\nAnswer: 339, 15, 7, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 35\/(1225\/90)*(-1946)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 27*k**2 + 0*k + 1\/3*k**4 + 0 + 6*k**3 = 0?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22363*l**2 - 3*l - 11533 wrt l.\nAnswer: -44726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2010*u**2 + 10*u**3 - 724*u**2 - 18*u**3 - 724*u**2 - 27*u**3 - 560*u**2.\nAnswer: -35*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*v + 1472, -136 = -j + v + 228. What is the greatest common factor of 1302 and j?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 times 1069708.7?\nAnswer: 25673008.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 1\/2016*u**8 + 0*u**3 + 0*u**4 + 0 + 0*u - u**2 - 1\/360*u**5 - 1\/420*u**7 + 1\/240*u**6. Find y, given that p(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -11*z**4\/24 + z**3\/3 + 2*z**2. Let l be v(-2). Calculate the greatest common divisor of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.036 - -0.164. Let k = 0.1 + 0.3. Which is the second smallest value? (a) 1 (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3375*o**3 + 0*o + 3370*o**3 + 3*o.\nAnswer: -5*o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 54\/18 + (1 - -16). Let q = 3 + -13. Let t = q - -12. Solve -t*g - k = 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p - 21. Let s(t) = t - 7. Let l(k) = 2*r(k) - 7*s(k). What is the lowest common multiple of 10 and l(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from {e: 3, q: 5, t: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -10867.996 to the nearest 100.\nAnswer: -10900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -41 - (-7 + 37)) + 6\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, 125, 15 in descending order.\nAnswer: 125, 15, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -273240, -273237, -273234, -273231, -273228, -273225?\nAnswer: -273222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -105 (c) 32 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10912461, 21824923, 32737385, 43649847, 54562309, 65474771?\nAnswer: 76387233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 3*n + 44. Let t(m) = -m**2 + 2*m + 41. Give -3*q(y) + 4*t(y).\nAnswer: -y**2 - y + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w - 3*w + 3*w + (3 - 1 + 1)*(3*w + 0*w - w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345*a + 11*a**2 + 352*a + a**2.\nAnswer: 12*a**2 + 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.662162 centimeters to meters.\nAnswer: 0.01662162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (18\/36)\/(2\/936)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2. Let x be (250\/(-40) - -7)*4. Let w(s) be the third derivative of -8*s**2 - 11\/60*s**5 + 0 + 0*s**x + 0*s + 0*s**4. Calculate d(w(a)).\nAnswer: 363*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-572)\/(-22)*-2*(-3)\/(-12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*b + 4*s - 2*s, 5*s = -4*b - 2. Solve 0 = 5*o - 5*a - 10, 0 = 2*o + b*a - 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 15, -0.04, -4691?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1565456610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*i + 8 = -2*i, -2*n + 7 = -i. Factor -12*m**4 + 22*m**2 - 2*m**n + 12*m + 8*m**2 - 24 - m**5 - 3*m**3.\nAnswer: -3*(m - 1)**2*(m + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 9987*a**2 - 4997*a**2 - 4992*a**2 + 9.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5255*g**2 - 10*g + 79697.\nAnswer: 10510*g - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-11) + ((-24)\/33)\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 8*j**7\/7 + 28*j**3\/3 + 5. Find the third derivative of w(x) wrt x.\nAnswer: 960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (66\/(-1))\/((-8)\/4). Let f = u + 14. Let b = f - 28. Solve 4*d + 4*p = b - 3, 2*d + 1 = p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 21315 (c) 3 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 11*f**3 - f**2 + f. Let u be y(1). Let p = 17 - u. Find the first derivative of -4*w + p - 4 - w + w wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 3\/5 (c) 185 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -5 + 7 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 21626\/15, -0.2 in descending order.\nAnswer: 21626\/15, -0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {a: 2, c: 10}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*d + 390*d = -24*d - 292*d. Solve d = -2*l - 4*p - 14, l + p + 22 = 16 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3)\/l)\/((l\/l**7*l)\/l)*(l*(l\/((l*l\/(l*l**(-1))*l)\/l)*l*l)\/l*l*l)**(-1\/12) assuming l is positive.\nAnswer: l**(49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4530 + -3184. What are the prime factors of m?\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**8\/1344 + o**7\/504 - 4*o**4\/3 - 15*o. Let q(f) be the third derivative of x(f). Find the third derivative of q(z) wrt z.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 17, -2\/3, 6463, 5, -39?\nAnswer: 6463","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b2855 + -3?\nAnswer: -b2858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 3408 = g + 7*g. What is the greatest common divisor of g and 177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8004717*b*g**2*u + b*u - 171*g**2*u - 15578*u wrt b?\nAnswer: 8004717*g**2*u + u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2742 + 1314 + 2248 + s.\nAnswer: s + 6304","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 6. Let i be (99\/(-6))\/(2\/f). Let t = -14 + i. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k + 0*k + 2*k**4 + (1 - 1 + 2)*(6*k**4 - 4*k**4 - k**4) + 22*k**4 + 45 - 45.\nAnswer: 26*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of ((-377025)\/(-22))\/((-10)\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9824 - 6*v**2 - 222*v + 9828 + 4*v**2 as i*v + y + b*v**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, c: 14}. Give prob of sequence cqq.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 166*f + 73103 - 73767 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000213329 to 7 dps.\nAnswer: -0.0000213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/4 + 144\/32. Let c be 4\/3 + (-1 - (4 - x)). What is the second biggest value in 3\/2, -2, 0.4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 35.39205m?\nAnswer: 3539.205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*i**3 - 100*i**3 - 91*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (161 - 159) + (1 - ((-2 - -1) + 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2750143 is divided by 687398?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000709 to six decimal places.\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*1 + (-5)\/(-7). Let v = 159.4 - 159. What is the closest to d in -0.1, 1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533050 is divided by 26649?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 747 - 746. What is the biggest value in 1\/6, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 + 9*q + 19. Let h be g(-7). Let t = 63 - h. What is the remainder when 88 is divided by (-10)\/(24\/t + -3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3103204 to the nearest integer?\nAnswer: 1762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 + 12948*r**2 + 10587360*r + 176262800.\nAnswer: 4*(r + 17)*(r + 1610)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9135, 8943, 8751, 8559, 8367?\nAnswer: 8175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 362*x - 382*x - 360 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-6) - (-45)\/(-18). Let q(v) = -34*v - 12. Let n be q(a). Calculate the highest common factor of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 301*z**3 + 5*z**2 - 5*z + 5. Let a(f) = -4365*f**3 - 72*f**2 + 72*f - 72. What is 5*a(y) + 72*s(y)?\nAnswer: -153*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1404 - 1398. Solve -2*u + 6 + z = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = v + 2*v - 54, -2*m - 6 = 0. Calculate the smallest common multiple of 18 and v.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8105047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -134973622, -269947237, -404920850, -539894461, -674868070?\n\"Answer: t**2 - 134973618*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2690 by -1186.\nAnswer: 1345\/593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11628 is divided by 1936?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12950 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002002 (base 4) to base 16.\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -1)*(4 - -1). Let d be (8\/x - 2)*-10. Let t = -4 + d. Is 2\/13 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 213 + -3?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -33 + 5 + -17 + 26\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j**2 + 74*j + 344. Let k be a(-9). Solve -9 = -3*t + 4*t + 2*n, 0 = -k*t + 3*n + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**4\/7 + 339*j**3 - 29336*j**2\/7 - 16449*j\/7 + 15262\/7 = 0.\nAnswer: -1, 1\/2, 13, 1174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4*l*l**(4\/5)*(l*l\/l**(-1))**(1\/10))**(-49) assuming l is positive.\nAnswer: l**(-2989\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2*(88\/(-11))\/4*2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6524, -13130, -19820, -26594, -33452, -40394, -47420?\nAnswer: -54530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 7:43 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-4)\/(12\/(-15)). Solve 2*m = 4*m, 0 = -3*b - y*m + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 4*o + 11 + o.\nAnswer: 6*o + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/13 or -824?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -452*x - 2713. Let q be z(-6). Which is the third smallest value? (a) 5 (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 103 = -2*y - 28, 0 = 3*q - 2*y - 233. What are the prime factors of q?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 9*c - 61. Give j(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6656422 rounded to two decimal places?\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + -4)*364\/(-8). Let n be (-48)\/(-25) - 36\/(-450). Is (n - 0) + (o - -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 191.9 - 192. Let a(g) = g**2 - 5*g - 1. Let o be a(5). Let s = -11 + 7. What is the closest to w in o, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x + 29. What is j(40)?\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**4\/4 + 3*k**3 + k**2\/2 - 9*k - 173. Find u, given that h(u) = 0.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and 893235742.01.\nAnswer: 893235741.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -7*p**2 + 1. Let k be v(1). Let f be 0 + 1 - (5 + k). Let l = 6 - f. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 333 - 194. Let y = k - 43. Let h = y + -95.7. Are 3\/8 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 1685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -71560 minus -11303.36?\nAnswer: -60256.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9.98 from 1.7.\nAnswer: -8.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-5) + (-1)\/(-20) + 7429\/92. Solve -5*k = 4*p + 13, -k - c + 70 = -2*p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -587, -1 in ascending order.\nAnswer: -587, -1, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 5:09 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 907 divided by 65?\nAnswer: 907\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4218776 + 4218771.09999875. Let b = q + 4.9. Round b to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**4 - 1 + 1 + (-3 - 2*b**4 + 3)*(-1 + 1 - 2) - b**2 + 3*b**4 + b**2 - 140*b**4 + 83*b**2 - 83*b**2 to g*b + f*b**3 + i*b**2 + a*b**4 + z and give a.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 2:04 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**4\/13 - 34212*p**3\/13 + 136878*p**2\/13 - 34232*p\/13 - 205320\/13 = 0.\nAnswer: -17110, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 28 - 18*y)*(-64*y + 140*y - 58*y + (3 - 6 + 4)*(3*y + y - 3*y) - 5 + 5 + 2*y + 2*y - 4 + 4).\nAnswer: -414*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 g, and 1 f when four letters picked without replacement from {f: 8, j: 4, g: 5, x: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u - 5*b + 192, 4*b - 191 = -u. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3493220863 minus -0.3?\nAnswer: 3493220863.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 1\/2*g**4 + 2 - g**2 + 0*g - 2\/5*g**5 + 2\/3*g**3. Determine p so that q(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 559\/195 + 4\/30. Determine o so that -o**v + 0*o + 1\/2*o**4 + 1\/2*o**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 0.6 (b) -3 (c) 4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 114792?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2554690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -27041726455 and 0.4?\nAnswer: 27041726455.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9076 divided by 6.\nAnswer: 4538\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 16106 and 17170 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-48)\/66 - (-2)\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 14*s + 6 = 3*x, 6 = -3*x - s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -6, 20, 52, 90?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b - 7. Calculate the remainder when 17 is divided by x(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -30. Calculate the remainder when 14 + -10 + 7*10 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**4\/12 + 5*s**3\/6 + s**2\/2 + s. Let h be d(-8). Suppose 0 = 3*b + 4*y - 26, -4*b + 13 = 2*y - h. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.12 + -3.48. Let j = t + 4. Let p = 14.4 - -2.6. Which is the second smallest value? (a) p (b) j (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 9*r - 16. Let i(g) = 4*g**2 - 2*g - 1. What is i(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2 + 246*d - 14168 = 0.\nAnswer: 92, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - 30. Let c be n + 613 + (13 - 11). Let r = 1083 - c. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3484 and 5512.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88*c**4 - 1040*c**2 + 2 wrt c.\nAnswer: 2112*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 - -71. Let a(r) = 11 - 7 + 5*r + n. Does 8 divide a(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 12. Let k be m(7). Let h be -6*1\/2 - -265. Let g = h + -2884\/11. What is the smallest value in k, 1, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/9, -1.2, 1\/7, 1\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m - 5. Let r(f) = 4*f - 14. Determine 2*r(w) - 7*s(w).\nAnswer: w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3901 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((0 + 1 - -9) + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479258 is divided by 787?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**6\/40 - 3*r**5\/20 - 4*r**2 + 9*r. Let y(j) be the first derivative of v(j). Solve y(u) = 0 for u.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 12573137 = -24426863. What is l rounded to the nearest 1000000?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.5, -1.9, 13, 1.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -30.1056 and 0.71163.\nAnswer: -29.39397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1666 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -99991 * 0.16.\nAnswer: -15998.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -2*a - 5*p, 8*p = -5*a + 11*p - 45 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6 + 497*g**2 - 6*g - 266*g**2 - 234*g**2. Calculate r(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*a + 5098 = v, -4*a + 15239 = 3*v. What are the prime factors of v?\nAnswer: 3, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, a: 1, p: 1, m: 2}. Give prob of sequence amm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*v - 10, -4*y = y - v - 6. Let s be y*1\/(-2) + 2. Solve 4*c + s = -19 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4127*x - 1206*x - 145461 - 207980 for x.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3029627754.\nAnswer: 2, 3, 761, 221173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, q: 2, t: 4}. Give prob of sequence fq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*x = 74, -2*d + 3*x + 53 = -2*x. Find f such that f**5 + 27*f**4 - 144 + 95*f**2 + 59*f**3 - 20*f**4 + 6*f**4 - d*f = 0.\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6198043)\/21910537 + 2\/197?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516 is divided by 88?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/10, -27, 0?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 1\/12*i**4 + 18 + 1\/2*i**2 - 2*i + 4*i**3. What is o(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/504 and -107\/2184.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*(sqrt(1053) + -2).\nAnswer: -12 + 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*k = -3*k + 18, -k = -5. Let r = 14 - j. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtmddwddttdwwmmddtx. Give prob of picking 3 m.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 69?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 40458048 * 4\nAnswer: 161832192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12740\/112)\/65*6\/14.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 5*a + g - 4, 0 = -2*a + 2*g - 8. Let h = 30 + -14. Let i be (-4)\/10 - h\/10. Are a and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x - 11. Let u(n) = -n**3 + 10*n**2 + 30*n - 61. Let k be u(12). Give a(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.35308 to 2 decimal places.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(39)\/((sqrt(3)*1*-6 - sqrt(3)) + sqrt(3)) + -4).\nAnswer: -20 - 5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(240)\/(sqrt(20)\/sqrt(2)*3))\/(sqrt(24)\/(sqrt(10)\/sqrt(5)*-4)))**2*-3.\nAnswer: 128\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -63*i - 42. Let w(b) = b + 1. Give -3*v(q) - 126*w(q).\nAnswer: 63*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100101000110 (base 2) to base 14.\nAnswer: 2502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20e431 (base 15) to base 16\nAnswer: -17e8e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*z - 79*z + 3*x + 37 = 0, -2*z + x = -15. Solve 3*d + 5 = -5*a + 23, 4*a - z = 4*d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 586974 divided by -6.\nAnswer: -97829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(420\/1)*-2*25\/20.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 105.54 + -0.02\nAnswer: 105.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 946532 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 2*r - 6*r. Let d be 4\/(-7)*(-84)\/r. Let x be ((-5)\/d)\/(3\/(-6)). Let k(m) = m**3 - 4*m**2 - 6*m + 4. Determine k(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 80?\nAnswer: 7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107*60\/8*(-238)\/(-35)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**3\/3 - 2*m**2 + 6*m + 1846. Determine y(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -49?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i - 21*i - 4*k - 18 = 0, -5*k = -i + 3 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - -1. What is the remainder when a is divided by 1\/(2\/(-1 - -13))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 194912, -1228.\nAnswer: -1228, 1, 194912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 489. Is 13 a factor of p(-34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3615\/30 + 1\/(-2). Suppose 2*a = 12*a - g. Factor -t**3 - a + 2*t**3 + 19*t**2 - 10*t**2 - 4*t**3.\nAnswer: -3*(t - 2)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58014394?\nAnswer: 2, 443, 65479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -z + 2. Let i = 0 - z. Let q(y) = y**3 - 8*y**2 - 7*y - 10. What is the least common multiple of i and q(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6775\/7 + 970. Calculate the common denominator of 34\/(-7)*(-4)\/8 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**8\/672 - f**7\/420 - f**6\/240 + f**5\/120 - 36*f**2. Factor o(w).\nAnswer: w**2*(w - 1)**2*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 5*q**2 - 5*q + 1. Let s be j(4). Let t = s - 0. Let a = 4.4 - 4. Sort a, -2\/9, t in increasing order.\nAnswer: t, -2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, 60, 129980?\nAnswer: 129980","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 5*a**2 - 2. Let q be y(5). Let o = q + 5. Find the third derivative of -2*j**o + 0*j**3 + 3*j**2 - j**2 wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12615267?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 46*(-5)\/(-200) + 4\/(-10). Solve 1\/2*b + a*b**2 - 1\/4 = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43*h*v*x**2 + 86*h*v - 2*v*x + 317*x**2 + 5*x - 1 wrt h?\nAnswer: 43*v*x**2 + 86*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 6*f + 43, -4*m + 12*f = 9*f - 37. Solve 5*u = -b, -3*b + m*u - 14*u = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10 + 707592\/30 + 2\/(-5).\nAnswer: 2, 17, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46904 and 624.\nAnswer: 281424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1149 + -1143. Let q(n) = n**3 - 3*n**2 - 3. Let a(o) = 12*o**3 - 34*o**2 - 34. Let k = -128 - -60. Give k*q(l) + z*a(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1254*u + 1161*u**3 + 1254*u)*(-2*u - 3*u + 7*u)*(-4 + 0 + 3).\nAnswer: -2322*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 2*d + 178 + 126, 5*o - 3*d = 507. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8679059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9e96 (base 16) in base 15?\nAnswer: -c068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215172?\nAnswer: 2, 3, 43, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (576\/(-4))\/4*(-138)\/9. Suppose 5*d + 5*i = 665, -d = 3*d - i - c. List the prime factors of d.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 1\/18*b**6 + 0*b**2 - 1\/12*b**4 + 0*b - 1\/15*b**5 - 6 + 1\/9*b**3. Let m(d) = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.180297197 to five decimal places.\nAnswer: -0.1803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1741*j - 1570*j + 1941*j in the form o + s*j and give s.\nAnswer: -1370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*-4*(sqrt(637) + (sqrt(637) - (sqrt(637) - 2*sqrt(637))) - sqrt(637) - sqrt(637))*-2)**2 - (6*(2*(1 + sqrt(637)) + 3*sqrt(637)*2))**2.\nAnswer: -1427023 - 8176*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40.9 + 40.5. Let z = -2.3 - 8.7. Let k = 9 + z. Which is the closest to -0.1? (a) k (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*a - 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 5616.\nAnswer: -7\/2808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bibiiezecpzc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 16 = 3*p, 0 = -9*p + 4*p + 2*f + 32. What is the smallest common multiple of (1 - (-9 - 1))\/(2\/2) and p\/(-9)*(-3)\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 3 - 3)\/((-1)\/1). Suppose -g + 2*g - 4*z - 87 = a, 480 = 5*g - 5*z. What is the greatest common factor of g and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 - 3*v. Determine p(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 223711?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*y + y - 3*y)*(2 + 1 - 2) - 4 + 4 - 2*y)*(4 - 1 - 2)*(4 - 1 - 1) to v + u*y and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14037, 14038, 14039?\n\"Answer: j + 14036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31910, -63815, -95720, -127625?\nAnswer: -159530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16\/365717 or -1?\nAnswer: 16\/365717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 307 + 295 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u - 2*l = 0, 4*l = u - 6. Let m be ((-12)\/(-15))\/2*1085. Is (u\/4)\/((-7)\/m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 22, 2 in increasing order.\nAnswer: -1, 1, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 40 = 5*l. Let v = l - -5. Is v smaller than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/31 - -274\/155. Let h = 225 - 215. What is the common denominator of h\/(1 - (-21)\/6) and j?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31.9 - 34.9. Let p be (-2 + 4)\/((-4)\/10). Let a = -2 - -2. What is the third biggest value in y, p, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*y + 2, 10 = 3*j + 4. Suppose -3*s - 3*h + 33 = y, 4*s - 58 = 2*h - 2. Calculate the remainder when 48 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0, 3\/18259, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*f + 1311053 = -169809, 3*f + 12 = 0. Let k = b - -89563. Round k to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 7*y**2 - 3 + 4 - 17*y**2 to the form i*y + q + p*y**2 and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104, -45, -3, -5 in ascending order.\nAnswer: -104, -45, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10995059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16d (base 15) in base 3?\nAnswer: 110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 4*y + 4. Suppose a = -4*a - 20. Let i be t(a). Suppose 2*f = 3 + 9. Solve -3*x - f = g, -3*x + x = -i*g + 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -149.9 - -154.9. What is the fourth smallest value in 1, b, -0.05, 0.02?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21309453 a multiple of 870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 180 - 1?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/25*(3 - -2). Suppose -f*h + 69 = -3*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.654152 to the nearest integer.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17862715 and 520.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 9:59 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17576828.01ns to weeks.\nAnswer: 0.000000029062215625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 2 = 5*k - 4*z, 3*k - 4*z - 9 = 0. Solve -k*m = -7*m - 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -4. Suppose -z*q = -3*q - 12. Suppose 4*i = -8, -4*t - q*i - 5 = 1. Are 2\/3 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 16, p: 3}. Give prob of picking 3 p.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 2*v**2 + 0 + 5 - 201 + 201 - 942*v**2 - v**2 + 2*v - 2*v + (-2*v + 1 - 1)*(-3*v + 4*v - 2*v))*(1 - 2 + 3) as c + b*v**2 + l*v and give b.\nAnswer: -1878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 363 or 361?\nAnswer: 363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -11. Let r(k) be the third derivative of -k**6\/120 + k**5\/12 + k**4\/24 - 2*k**3\/3 - 29*k**2. What is r(d)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/42*-3)\/(-5*(-4)\/(-420))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - -1*sqrt(114))\/sqrt(6) + sqrt(171) + 3)**2.\nAnswer: 30*sqrt(19) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 3*n - 6. Let v be c(-6). Let d = 21 - v. Suppose d*k - 6*k = 0. Sort k, 1, -4 in descending order.\nAnswer: 1, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -4. Let o = -15 - j. Let i be ((-6)\/o)\/((-15)\/(-8)). What is the nearest to i in -2\/15, 4, 5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -56*m + 116*m - 58*m. Let l(z) be the second derivative of z**4\/4 + z. What is l(c(f))?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 13*k - 282280 = 12*k, -8 = 2*k. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111291 - -0.6?\nAnswer: -1111290.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7485 divided by 5\nAnswer: -1497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/4)\/((-2)\/8). Is 6 a factor of (-3 - w\/6)*-26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**2 - 6*o + 6. Suppose 1 = -f + 3. Suppose 0 = f*t - 11 + 37. Let b(h) = 9*h**2 - 13*h + 13. Determine t*p(n) + 6*b(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(342))\/(-1*sqrt(18)) + -2*(sqrt(57) + sqrt(228)*-1)\/sqrt(3))*4.\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**6\/1260 + y**5\/420 - y**4\/42 - 9*y**3\/2 + 22*y. Let h(o) be the second derivative of w(o). Determine u so that h(u) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 34 (b) 9 (c) 0 (d) -8 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18413281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0 = -6. Let h = w - -115. Calculate the remainder when h is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*d - 1674 = 139*d - 198*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 0. Suppose 25 = -4*i + v*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -57734538\nAnswer: -11546907.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 0*z**3 + 0 + 1 + z**3 - 2 + 4*z**2. Let n be g(-3). Calculate the remainder when 9 is divided by (15\/(-12))\/((-2)\/n).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7221552 (base 8) in base 9?\nAnswer: -3530438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5337728.\nAnswer: 2, 11, 17, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**4 + 30112*f**3 + 56640664*f**2 - 113371680*f + 56700900 = 0.\nAnswer: -3765, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 560*l - 630 wrt l.\nAnswer: 560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45450.\nAnswer: 2, 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -1)*5 - (sqrt(176) + 0 + sqrt(176)).\nAnswer: -3*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -4*z + 3*j, -z + 2*j - 3 - 1 = 0. Let k = z + 9. Let a be ((-9)\/138)\/((-3)\/(-4)). Is k smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62980648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 4:07 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 2\/9 (c) -108699\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/858 and 25\/80658?\nAnswer: 11534094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 2*y - 2. Let i(u) = -2*u**2 + 3*u + 3. Let h(b) = 3*i(b) + 5*m(b). Let a(s) = 3*s**2 + 2*s + 2. Give -2*a(r) - 4*h(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -10051*n**2 - 346*n - 8. Let s(u) = 3*u. Give k(s(v)).\nAnswer: -90459*v**2 - 1038*v - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 10*z - 9*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*y**5 - 12*y**3 + 12*y**3)*((-5 + 3 - 1)*(-3 + 4 + 2) + 3 - 7 + 2).\nAnswer: -341*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2065*u**3 + 1195*u - 19100423?\nAnswer: 6195*u**2 + 1195","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.755039 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 248*k + 62. Let l(s) = -31*s - 8. Give -4*b(f) - 31*l(f).\nAnswer: -31*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*j - w + 643, 0 = -2*w + 6. Let o(s) = 3053*s + 21404. What is the remainder when j is divided by o(-7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h**2*q**3 - 2*h**2*q + h**2 - 20893*h*q**2 - 21908508*q**3 - 5109*q**2 wrt q?\nAnswer: -18*h**2 - 131451048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, 3, -0.34, 0.8, 2\/13 in decreasing order.\nAnswer: 3, 1.6, 0.8, 2\/13, -0.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1749127.\nAnswer: 23, 113, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 22*b**2 + 20*b - 4 + 57*b**3 + 56*b**3 - 233*b**3 + 60*b**3 + 61*b**3. Give r(-21).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -741 - -726.05. Let u = -15 - w. Round u to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -476, 51, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*f + 24*f - 82*f + (4 - 5 + 0)*(6725*f - 3121*f - 3235*f) to the form k*f + j and give k.\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 10*p**2 + 11*p. Suppose 0 = 2*a - 12 - 10. Let j be v(a). Solve 2*c + 3 + 1 = j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*i + 80. Let h = -12 + -11. Let u = h + 27. What is the least common multiple of i and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 666403342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 284, 1200, 3688, 8534, 16524, 28444?\n\"Answer: 131*d**3 - d + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1534 + -1495. What is the remainder when 542 is divided by n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 581\/61580 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.09551, 3513 in descending order.\nAnswer: 3513, -0.09551, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1686 - 2*z - 1671 + 9*z + 3*z to g*z + a and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.08391536 to two decimal places.\nAnswer: -2.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -58, -54, -50?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 7 = 3*w. Suppose -4*x - 26 = w*x. Let p = 56 + x. Calculate the highest common factor of 18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vneaereairvarvi. Give prob of sequence ran.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14014 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 392 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/956 and -5\/92.\nAnswer: 21988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 10717999\nAnswer: -5358999.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/45)*u)**(2\/53) assuming u is positive.\nAnswer: u**(86\/2385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 73693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - w = 4, 1857*s - 920*s + 4*w + 39 = 930*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/((-4)\/3394*(-1)\/2).\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19, -20, 1, 56, 157, 316, 545, 856?\n\"Answer: 2*a**3 - a**2 - 12*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.3542 and 12740.\nAnswer: 12741.3542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, o: 4, t: 5, r: 3, y: 1, x: 1}. What is prob of picking 1 g, 1 r, and 1 o?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 387.3353*-4.\nAnswer: -1549.3412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2))**(-13\/8)*(z*z*z**(2\/17))**(2\/65) assuming z is positive.\nAnswer: z**(15517\/17680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*z - 133*z - 130 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-3 + -1 - -6) + -4 - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 0 = -2*u. Let s be (-27 + 11 - -17)*1*27. Calculate the greatest common factor of u and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(2\/7))\/(b\/(b*b**(3\/7))))\/(b\/(b*b**(-1))*b**(-6)) assuming b is positive.\nAnswer: b**(43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-54)\/9 - (-3*4 + -2). Suppose 0 = 2*m + 4 - 14. Solve f - m*f = v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120 + -229. Let l = -109.3 - g. Which is the smallest value? (a) l (b) 0 (c) 4 (d) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0391 and -238312?\nAnswer: 238311.9609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(3 - x - 3) + 3*x + 2*x - 6*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2103, -2108, -2115, -2124, -2135?\nAnswer: -2148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101850 greater than 1101850?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/93*4101\/(-5468)?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 0 = -20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21388, 90714, 206264, 368044, 576060, 830318, 1130824?\nAnswer: 1477584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*(sqrt(65) + sqrt(65) + sqrt(65)*2) - -2*(sqrt(65)*-1 + sqrt(65) + sqrt(65))))\/((sqrt(1375)*-4)\/(sqrt(11) + sqrt(539) + 2*sqrt(539))).\nAnswer: 66*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 34. Let d(x) = 7749*x. What is g(d(l))?\nAnswer: 60047001*l**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*v + 61*v + 238. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236671257 is divided by 83.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 24, 33, 42, 51, 60?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2.3, -0.2, 4\/3, -3, -1.116?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 5042?\nAnswer: 25210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -8 - 9\/(-36)*628.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1043 - 4.1043. Let i = -0.8 + 3.8. Put 2\/7, g, 3\/5, i in ascending order.\nAnswer: g, 2\/7, 3\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 4, -165?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46059\/4 + 11460. Let w = q + 55. Let p = 16811\/84080 - -1\/16816. Which is the third biggest value? (a) p (b) 0 (c) w (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/5))**(-15)\/(v**2*v**(4\/7)) assuming v is positive.\nAnswer: v**(-39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 1. Let y(f) = -2*f**2 - 3*f - 2. Let l(u) = -3*w(u) + y(u). Let r(h) = h + 5. Let k be r(-4). Let v be l(k). Is -2 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 46. Let f(s) = -s + 2. What is 115*f(n) - 5*w(n)?\nAnswer: -115*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*z + 30 = -0*z, 0 = -3*b + 3*z - 18. Let f be 2 + ((-2)\/1 - b). Suppose -5*y - 10 = 0, 2*y = -3*h - y + f. Solve u = -h*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + (-48 - -2))*(-1)\/3. Let s = 18 + -3. Suppose 3*n = 3*h - s, 0*h + n + 1 = -3*h. Solve -5*x = z - h for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*y + 2468, 0*z - 2*z + 4926 = 4*y. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (36*p**2 + 6*p**2 + 3*p**2)*(-p**2 - 3*p + 3*p) as m*p**4 + v*p + j*p**3 + s*p**2 + l and give m.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -72.27 + 71.47. Let v = -0.8 + 2.8. Sort -6, v, t in descending order.\nAnswer: v, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1753 and 0.245.\nAnswer: -429.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5 (b) -1\/7 (c) -0.3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 - 2*u - 4. Determine n(-6).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -200*y - 37. Let x(s) = 3*s - 12. What is h(l) - 3*x(l)?\nAnswer: -209*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 + 3 - w**2 - 4*w**2 - 2 - w + 2*w**3 as v + z*w**2 + t*w + i*w**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmmmzmmm. Give prob of picking 2 m and 1 z.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.15 - -0.01. Let u = -0.24 - b. What is the third biggest value in -1\/5, u, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 5*y**2 + 1777985*y = 0.\nAnswer: -355597, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*-9*(-12)\/(-432))\/((-6)\/17)?\nAnswer: -17\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 7*h**2 - 57*h - 8. Calculate the remainder when b(-11) is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*c + 45*c - 182 = -826 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -513 + 533. Calculate the remainder when 148 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 4*m + 28 - 8, -4*n - 20 = m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77402130 by 43145.\nAnswer: 1794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1556614*p**3 + 314910*p**2 wrt p.\nAnswer: 9339684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*17\/6120*-10?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005551352 rounded to seven decimal places?\nAnswer: 0.0000555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4)*((-22)\/44)\/(2\/16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3 - 3. Let j be 34\/(w + 0\/3). Suppose -q = -2*q + j. What is the highest common factor of 153 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4880 >= 8871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -26581 + -3?\nAnswer: -26584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41.147 - 84.184. Let w = 43 + z. Round w to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/6)\/((-4)\/(-1524)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c + 114 + 1\/2*c**2. Let o = -9 + 15. What is f(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-1\/4)*d**(2\/57)*(d\/(d\/(d\/d**(-6))))**(-13\/6) assuming d is positive.\nAnswer: d**(-1055\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (5*-1*sqrt(9))\/((-1*sqrt(9))\/sqrt(3)) + 3 + 3)*-5.\nAnswer: -25*sqrt(3) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34116514853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (-789)\/(-12) - (-8)\/32. Let u = s + 45. Is u a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1427420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 18. Solve b + z + 4 = 2, -v*z = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -1)*(-2)\/(-4). Let n = 27\/49 + 1\/49. Let d(i) = i**3 - 4*i**2 - 4*i - 5. Let q be d(5). Which is the nearest to q? (a) g (b) n (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -468 + -8.6.\nAnswer: -476.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 347758127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 387 and 8643?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 786 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 9. Suppose -p + 4*p - 51 = 0. Let k be p\/2 - 3\/c. Solve -k*t = -3*t - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157374 is divided by 144?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, v: 2, p: 6, r: 3, a: 1}. What is prob of picking 2 v?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 is divided by (-209)\/(-77) + (-10)\/(-35).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/70960944 and 1\/94614592.\nAnswer: 283843776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1851 or -1857?\nAnswer: -1857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(17) + (sqrt(833) + -1 + sqrt(833) - sqrt(833))**2).\nAnswer: -26*sqrt(17) + 1668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*u - 2*u. Suppose -u*m = -12*m. Suppose -4*z + 3*z + 16 = 3*p, 0 = 2*p - 4*z - 6. Solve -p*i - 11 = 3*l - m*l, l - 7 = i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13075 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2637 - 5293 = -61*q. Solve -136*o + q*o - 36 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -845*r**3 + 9*r**2 + 4*r + 38114 wrt r.\nAnswer: -2535*r**2 + 18*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/5 + 514*w**2\/5 - 731*w - 4168\/5.\nAnswer: (w - 8)*(w + 1)*(w + 521)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -155 - -162. What is the least common multiple of x and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2714552145 and 7?\nAnswer: 2714552138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54.4 and 2.\nAnswer: 108.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 7*s - 2. Let t be c(5). Let l(z) = 11*z - 6*z**2 - 8 - z**2 - 2*z**2 + z**3. Calculate the smallest common multiple of l(t) and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3540542 (base 7) in base 16?\nAnswer: -6d18d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 10*p**2 - 153*p + 82. Is j(21) a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1599, 1514, 1307, 924, 311, -586, -1821?\n\"Answer: -9*b**3 - 7*b**2 - b + 1616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48686648 is divided by 84?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 6*j + 24 = 0. Let w be (-11)\/(-22)*j\/(-2). Let i be (-3 - w) + (-6 - -2). Is i at most as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*g + 12, -2*n + 9 = -4*g + 13. Let x = -6.4 + 10. What is the biggest value in -0.5, x, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**3 + 4190*s**2 - 9308*s?\nAnswer: 6*s + 8380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -11*r + 97. Let i be z(7). Solve 3*l - 4*c - 15 = 0, 5*l - 4*c - i = c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002661 to 7 dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 383008787\/30 + -12774730. Let b = 23324\/3 + t. Calculate the common denominator of 7\/2 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 340 + -340. Suppose -5*q + 13*m - 14*m + 4 = g, 4*q - 16 = -4*m. Solve q = 30*l - 34*l + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -343728 by 924.\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 47*q**3 + 4*q**2 + 24*q - 28. Calculate k(1).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15578 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(4\/5)\/i*i**(-2\/5) assuming i is positive.\nAnswer: i**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 8 = 2*r, 5*r = -2*p + 3 + 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 143 = o, 10 = 3*n + 22. Suppose 5*k - 16 = o. Calculate the greatest common factor of 93 and k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 63 - 79 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(11) - sqrt(11))*-4 - (sqrt(275)*-2 + sqrt(275))**2.\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/8)\/((-36)\/(-336)). Suppose -7 = -y + d. What is the highest common factor of 406 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52797*t + 105593*t - 52795*t + 46.\nAnswer: t + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.5, -1\/6, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -12*m + 150. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 254 and 9271?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92 - 97. Let t = 4.161 + -0.161. Let b = 67 + -131\/2. What is the second smallest value in b, 3\/7, h, t?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (42\/24 - 2)*-20 + -1. Is 1\/(d - 23739\/5935) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 14\/4251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67144878?\nAnswer: 2, 3, 3730271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -42, -2, 64, 162?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**3\/3 + 7*f - 3. Let m be t(0). Find k such that -1 + 3*k + m*k**2 - 3*k**2 - 6*k = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 297?\nAnswer: -29a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/31603 and -49\/12?\nAnswer: 379236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221221310.\nAnswer: 2, 5, 101, 219031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1293 + 1164 + 1299 + 1296 + 1294 - 6346 - 10*b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 12:38 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -144 and 0.11.\nAnswer: -143.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1016072102?\nAnswer: 2, 17789, 28559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2004 + 567 = -c. Suppose 13*g = -85*g + 5 - 5. Suppose -p + 4*p - c = g. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(11\/2)\/h)\/h)\/(h**17\/h))\/(h**(-2\/15)\/(h\/h**14)) assuming h is positive.\nAnswer: h**(-761\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 5 + 9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 917*-0.1152\nAnswer: -105.6384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**5 + 2*h**4 - 2*h**2 - 2*h - 2. Let x(n) = n**5 + n**4 + n**2 - n - 1. Let c(t) = 3*i(t) - 6*x(t). What is the third derivative of c(q) wrt q?\nAnswer: -540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -18*q**3 + 5*q**2 + 8*q. Let z(g) = -9*g**3 + 3*g**2 + 4*g. Determine 3*a(o) - 5*z(o).\nAnswer: -9*o**3 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -113? (a) 1\/54 (b) -2 (c) -1\/5 (d) 2\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 2:18 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 261 in descending order.\nAnswer: 261, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 1362763084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8064 is divided by 3935?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 8. Solve -s + u = 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 58\/(-51) - 4\/(-6). Let m = 120666 + -120663. Put 1\/7, m, f in descending order.\nAnswer: m, 1\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 6:07 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*p = 55*p + 91020. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l - 1 + 1)*(2 + 2 - 2) + 0 + 0 - l + 0*l - l - 8*l + l + 1 - 1 in the form j*l + x and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g. Let h = 85 - 84. What is y(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/10)\/(4\/10). Suppose -q*r + 15 + 15 = 0. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68484 is divided by 137?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in 6, 0, 1, -42, 0.03?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1900)*-1 - sqrt(1900)))**2.\nAnswer: -80*sqrt(19) + 7604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-5))\/(0 - 1). Let y be 1701\/153 - 8 - (2 - -1). Do k and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 276\/8*(-20)\/(-36) and 85\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -7*q**5\/200 - q**4\/3 - 17*q**3\/20 + 9*q**2\/10 - q + 74. Let u(k) be the first derivative of i(k). Factor u(p).\nAnswer: -(p + 3)**2*(7*p - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 17*a**2 + 3*a. Let g(f) = -f + 7589416. What is g(h(t))?\nAnswer: -17*t**2 - 3*t + 7589416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/3)\/a**14*(a\/(a**(1\/8)*a))**(-37))**(-15) assuming a is positive.\nAnswer: a**(1325\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010 - 1000100110?\nAnswer: -1001010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -1 + (15912\/(-169))\/(-12)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - a**2 - a + 34. Let u = -5 - -5. Let k be h(u). Suppose o = -n + 5 - 3, k = 2*o - 4*n. Calculate the highest common factor of 21 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1022, 1261, 1630, 2129?\n\"Answer: 65*w**2 + 44*w + 913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 2*k - 2. Let b be s(-5). What is the greatest common divisor of 117 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633714193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 - x + 4. Let u be y(3). Let m = 19 + u. Solve -2*b = -m*n - 0*n, 5*n = -5*b - 50 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19126, 38245, 57364?\nAnswer: 76483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -42605080 divided by -4?\nAnswer: 10651270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 0*x**2 - 2 - 2*x**2 + x**2 + 6*x**2. Is r(-2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 6:49 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -515240?\nAnswer: -515231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 9) to base 5.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39267624 a multiple of 1784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/23? (a) -15 (b) 0.1101 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 829020.5 decades to millennia.\nAnswer: 8290.205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 + 5*o - 1. Let j(n) = 2*n**2 - 5*n. Let q(x) = 4*j(x) + 3*y(x). What is the tens digit of q(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1546 - -1541. Which is the closest to -1? (a) 5\/3 (b) o (c) -11 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 435*i + 1772. Determine x(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t = 19*t. Suppose -122*l + 118*l - 20 = t. Which is the closest to -1\/2? (a) l (b) 10 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -789556, -1579271, -2368986, -3158701, -3948416?\nAnswer: -4738131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4068 + -4016. What is the greatest common divisor of k and 260?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 1\/343078?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2635, 2590, 2485, 2290, 1975, 1510?\nAnswer: 865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16\/6071 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3143560 to the nearest integer?\nAnswer: 1773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*f - 11, 4*d - 2*f + 3 = -f. Let s = d - -2. Suppose s = 2*r + 3 - 7. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 27 - 5. Suppose 4*g + 15 = 5*f - g, -2*g = -4*f + r. Solve 0 = f*b - 3*b + 4*u - 26, 3*u = 5*b + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i - 13*i + 30*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20109637 to the nearest integer?\nAnswer: 4484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4*t - 2, -2*t - 3 = 3. Suppose r - 13 = 2*d, h*d - 3*r = -5*r - 28. Let s be (72\/4)\/(d\/(-8)). What is the highest common factor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29156009209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/10*9*(-14)\/(-21).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.512 - -2401.\nAnswer: 2400.488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a week in hours?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-840)\/66)\/(-44*(-26)\/6292)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16866*q - 5*i + 7 = 16870*q, -5*q = -2*i + 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1721 or 1510?\nAnswer: -1721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 27 = 5*x, -2*u - 16 = -4*x - 3*u. Let j = x + 1. Suppose -j*h = h - 15. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 6.3. Let m = -392 - -253. Let w = m + 143. Which is the closest to p? (a) w (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a hour in seconds?\nAnswer: 63900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18640\/12 + (-16)\/(-24). Let w = j + -677. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 2*y**3\/3 + 15*y**2 - 15*y. Let w be i(-7). Find the third derivative of 7*m**3 + m**w + 2*m**3 - m**3 wrt m.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*h - 2*f - 3158 = 0, 4*f + 12640 = 4*h. Suppose 145*w - 139*w = h. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from oriottk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 201043?\nAnswer: -201103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1653 is divided by 418?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13540.936612 + 2071.079579. Let w = 15612 - k. Let f = -0.0164 - w. What is f rounded to 5 dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1175 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: Let k(c) = -2*c**2 - 6*c + 30. Let q be k(10). Let a = q - -296. What is the greatest common divisor of a and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 29*q + 17. What is the hundreds digit of z(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7, 20, 33, 46, 59, 72?\n\"Answer: 13*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 703 - 11052?\nAnswer: -10147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, p: 5, h: 2, w: 2, v: 2}. Give prob of sequence hhh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*l - 136. Suppose 2*c + 2*c - l = -2*o, -5*o + 14 = 2*c. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/6 (b) 4 (c) -37\/64 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110101010000100011 (base 2) to base 7.\nAnswer: 4040160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000001010001011 (base 2) to base 16.\nAnswer: 828b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/18 + -1\/6. Let v = -0.3 + 0.2. Let m = v - -0.2. What is the second smallest value in -1, b, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.8 + -20.8. Suppose 4*p - 3 = -v - 0*p, 3*p - 5 = 2*v. Sort t, v, 0.01 in ascending order.\nAnswer: t, v, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + i**2 - i**2)*(2 + 0 - 1)*(-2*i + 6*i - 2*i)*(4*i - i - 2*i)*(-648*i - 10*i + 73*i).\nAnswer: -2340*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - 0*1\/2. Let q = -140 - -144. Suppose -p = q*b + 1, -5*p - t*b = 13 - 44. Solve 3*w + p = -8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(343) - (sqrt(343) + 0))*-3 - sqrt(343)) + sqrt(343) - sqrt(343) - -1*(sqrt(343) - (1 + sqrt(343))))**2.\nAnswer: 14*sqrt(7) + 344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -278*p**2*x*z**2 - 2*p**2*x*z - p**2 - 5*p*x + 7*x wrt z.\nAnswer: -556*p**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291 = 24*m + 3 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/4))**(4\/9))**(10\/13) assuming n is positive.\nAnswer: n**(10\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/22, 2\/13, 37?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 877716?\nAnswer: 7021728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -21\/2*p**2 - 9\/4*p**4 - 1 + 30*p - 15\/2*p**3 - 3\/20*p**5. What is g in c(g) = 0?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -7*z**4\/24 + 7*z**2\/2 + 6. Let w(g) be the second derivative of q(g). Let t(f) = 2*f. What is t(w(u))?\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1263 and 19008992.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r + 72 = 1687. Suppose 8*s - 23 + r = 0. Does s = -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -14. Let o be (-2)\/c + 3344\/24. Suppose 0 = 5*i - 9*i + 140. What is the greatest common factor of i and o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1287)\/21 + (-4)\/(-14). Let v = 119 + f. What is the lowest common multiple of 6 and v?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10294233 rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/88550 and 37\/16170.\nAnswer: 1859550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111*a**3 + 44523*a**2 - 9817435*a?\nAnswer: 666*a + 89046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -621*l - 612*l + 110300 = -1213*l. Calculate the highest common divisor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8640*v**2 + 1509*v - 2 wrt v?\nAnswer: -17280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at least 38073\/5533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -13\/2 (b) 0.1 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1442, 1387, 1332, 1277, 1222, 1167?\n\"Answer: -55*p + 1497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.17 + -0.26. Let n = h - 0.11. What is the third smallest value in -0.06, 0.4, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**4\/2 + 3172*w**3 - 28507*w**2 - 3172*w + 57015\/2 = 0.\nAnswer: -1, 1, 9, 6335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (15 + 0)\/3. Let a be (2 + 2\/g)*3. Suppose m + 3*m - 2*c - 100 = 0, 4*m - a*c - 100 = 0. Solve -4*k - k - m = 3*v, -3*v - 15 = 3*k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2 - 18 + 13*m - 15 - 3. Let j be q(6). What is the highest common divisor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**8\/1512 - 2*b**7\/945 + b**5\/135 - b**4\/108 - b**2. Factor g(x).\nAnswer: 2*x*(x - 1)**3*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157789570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5*-2363\nAnswer: -11815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**3\/15 - 8*a**2\/5 - 22*a\/15 = 0?\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1292903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1488834.\nAnswer: 2, 3, 79, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 - (1 - 1) - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.3981 - 1.503. Let y = -190.889 + 191. Let o = n + y. What is o rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -4*r + 366. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -y + 82, 0 = 19*y - 16*y + 7*s - 326. Calculate the remainder when 686 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxoojoaaoxaoooaooao. What is prob of picking 2 x and 1 o?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -150 + 166.3. Let z = g - 15.49. What is z rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -340415, -340423, -340445, -340487, -340555, -340655?\n\"Answer: -k**3 - k**2 + 2*k - 340415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -112 - -206?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1764007619 and 0.5.\nAnswer: 882003809.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30\/129791 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-294996)\/(-147529) + (-2)\/1)*-2. Does 0 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.15 and -76.\nAnswer: -11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o + 63117 - 166525 = 0. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -327?\nAnswer: -130.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 644 = -154. Let q = 125 - i. Sort 4, 5, q in decreasing order.\nAnswer: q, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/96*38524\/(-2). Let h = 4017 + s. Calculate the common denominator of h and -131\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29475489.\nAnswer: 3, 23, 427181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 268*w**2 + 49*w - 18. Calculate the smallest common multiple of i(4) and 2030.\nAnswer: 22330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01094 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -127 - -250. Is t not equal to 124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -570, -2\/13, -5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 76365.122 to the nearest 1000.\nAnswer: 76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 333, 1345, 3009, 5325, 8293, 11913, 16185?\n\"Answer: 326*u**2 + 34*u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5936 is divided by 90.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -152\/7*z - 13\/7*z**2 + 1\/7*z**3 - 48.\nAnswer: (z - 21)*(z + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 195760821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5 + 763\/(-56))\/((-27)\/4) and -65\/22.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18595 = -2*b - 3*v, -4*b - 5951 = 2*v - 43129. List the prime factors of b.\nAnswer: 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 780 is divided by (264\/12)\/((-10)\/(-10)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-27330)\/(-270) - (-2)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 10*k - 72. Suppose -34 = k*w + 14. Let q(l) = 2*l**3 + 16*l**2 + 11*l - 5. Is 25 a factor of q(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtmmjju. What is prob of sequence uj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 14770*i**3 + 13*i + 39. Let s(d) = -4923*d**3 - 4*d - 12. What is -39*s(a) - 12*z(a)?\nAnswer: 14757*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -367, 3, 4, -3 in ascending order.\nAnswer: -367, -3, -2, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmm. Give prob of sequence mm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 9*c - 14. Let h(o) = 4 - 2*o - o + 5 - 4. Let f(m) = -8*h(m) - 3*z(m). Differentiate f(u) wrt u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f**(1\/16)*f)\/f*f)**(-2\/9))**7)**48)**(24\/13) assuming f is positive.\nAnswer: f**(-1904\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(2) + sqrt(14)\/sqrt(7) - sqrt(2))*-5.\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -10 - -12 - (0 - 11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47329 + 26729. Let s = 36038554 - 432215311\/12. Let g = s + o. What is the common denominator of g and -71\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13639, 26143, 38647?\n\"Answer: 12504*n + 1135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/9 (b) 5 (c) 10 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -117 (base 15) to base 16\nAnswer: -f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*b - 5*b. Let y = 6 + b. Suppose 108 = y*o + 2*o. Is 16 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o**2 - 4*o - 7. Let t be i(-2). Calculate the remainder when 55 is divided by (4 - 6)*t\/2.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 5*(-24)\/(-20). Solve r*z = 17*z - 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83609431?\nAnswer: 59, 109, 13001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 23 * -0.0162065\nAnswer: -0.3727495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/13 - 250*x\/13 - 2690352\/13.\nAnswer: 2*(x - 1224)*(x + 1099)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(0 + 0 - 2*j) + 21 + j - 557 - 448.\nAnswer: -3*j - 984","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21386 = -45*w - 20171 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0039596844 rounded to 4 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*-6*11\/(-396)*(-2)\/(-5)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-48 + 20*s + 48)*(2*s - 2*s + s) + s**2 - 2*s**2 + 3*s**2)*(s**2 + 0*s + 0*s)*(11*s - 5 - 10 - 9*s).\nAnswer: 44*s**5 - 330*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 0) + -3 + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 8, -1.1, 1\/15, 4\/7, -2\/7?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -976 (b) 4\/7 (c) -6 (d) 2 (e) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 3, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 189\/7*10\/10?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 5*s = -88, -1055*c + 88 = -1059*c + 7*s for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s + 6. Let p be k(9). Suppose q + p = -3*y - 2*q, -4*y = -q + 40. What is the tens digit of (-1400)\/(-24) + (-6)\/y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/2 + 33678*u - 1819341\/2.\nAnswer: (u - 27)*(u + 67383)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9776 is divided by 4683.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1614053979?\nAnswer: 3, 677, 88301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 13*z - 1. Let k be g(-8). Let c = -37 + k. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -k**2\/2 + 36*k - 773. Determine t(19).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64656*t**2 + 129309*t**2 - 64649*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**4 + 595*z**3 + 13940*z**2 - 63060*z + 65520 = 0 for z.\nAnswer: -84, -39, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22682 (base 9) to base 13.\nAnswer: 6b78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffrffffrffrrrfff.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/8 and 73\/208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*y**3 + 27*y**2 + 19*y**3 - 27*y**2 - 35*y**3.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/33)\/(a*a\/a**(2\/105)) assuming a is positive.\nAnswer: a**(-786\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 97 in descending order.\nAnswer: 97, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) 4 (b) 4\/63 (c) 2\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -422 minus -11812243?\nAnswer: 11811821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (396\/(-18))\/((-3)\/(-6)*-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1089) + -4*sqrt(1089)*-2 + sqrt(1089))\/(-5*sqrt(3)*-2 - sqrt(3) - (sqrt(63)\/sqrt(3))\/sqrt(7)).\nAnswer: 55*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 428700\/54 - 8\/9. Calculate the greatest common divisor of s and 252.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*z. Suppose -w - 4*w = -230. Suppose 16 = 2*q - 3*m, z = -3*q - 0*m - m + w. Calculate the least common multiple of 20 and q.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -2*z**3\/3 - 52*z**2 - 1352*z + 513. Suppose q(c) = 0. Calculate c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 664, 613, 476, 211, -224, -871, -1772?\nAnswer: -2969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + sqrt(343)*1 + sqrt(343) + -5)**2 + 2 + (((3 + sqrt(343) - sqrt(343)) + 4)*-6)**2.\nAnswer: -210*sqrt(7) + 4878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/38804 and -11\/672.\nAnswer: 6519072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -33*l - 26. Let s be (-54)\/5 + 2\/(-10). Let p be (s\/3)\/(2\/6). Is g(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17650787, -35301542, -52952297, -70603052, -88253807, -105904562?\nAnswer: -123555317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 18*q**3 - 11*q**2 + 19*q + 12. Let d(f) = -35*f**3 + 20*f**2 - 36*f - 22. What is -6*d(c) - 11*n(c)?\nAnswer: 12*c**3 + c**2 + 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5*l - 67, -2*n - 5*l = -10 - 1. Let f be (2\/6)\/(n\/195). Suppose -6*k**2 - 12*k**f + 1 - 1 + 4*k + 26*k**4 - 12*k**3 = 0. What is k?\nAnswer: -1\/2, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-54)*-4287*-12)\/(66\/(-99)). Calculate the highest common divisor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from oowowwowooooowoowoo.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, l: 2, k: 1, g: 1, u: 1, v: 2}. Give prob of sequence kul.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**6\/120 + j**5\/30 - j**4\/6 + 2*j**3\/3 + 7*j**2. Let z = -14 + 10. Calculate h(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -4.7. Let g(o) = -3*o**2 + 55*o - 16. Let y be g(18). Let n = -0.04 - 0.06. What is the third biggest value in r, y, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 396 + 396.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + x**2 - x + 1. Let n(w) = 28*w**3 - 12*w**2 + 12*w - 8. Let i(z) = -12*k(z) - n(z). Differentiate i(h) with respect to h.\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049029419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 580 - 60 = -40*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 47 = -5*m. Let g = m - 20. List the prime factors of ((-93)\/g)\/((-2)\/(-4)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4416314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, -25, 2\/5, 1, 0.41?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 25208?\nAnswer: -25208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from mpppmmmm?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at most -87884\/9777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 6 = -3*w + 2*k, 5*k = -2*w - 1. Suppose w*l = 8*l. Suppose 4*f - 3*f - 11000000 = l. What is f rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85 by -462.\nAnswer: -85\/462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 406 (base 10) to base 4.\nAnswer: 12112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -5363 (c) 34496\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1821, 1769, 1717, 1665?\n\"Answer: -52*d + 1873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2 + 3)\/1)\/((-14)\/(2 - -124)). Sort z, -15, -11.\nAnswer: -15, -11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by -3049.\nAnswer: -30\/3049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8*i + 283 + 266 - 549. Let f(c) be the third derivative of -c**6\/720 - c**4\/8 + 3*c**2. Let y(d) be the second derivative of f(d). Give x(y(o)).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -6*u + 7. Let d be (-2 - (u + 1)) + 12. Let t(f) = -14*f - 2. Let i be t(-7). What is the highest common divisor of i and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 6477 = -2217. What are the prime factors of i?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 11:07 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -11 + -1 - (7 - 6). Let n = -10 - r. Factor 0 + 4\/3*s - 4*s**2 + 3*s**n.\nAnswer: s*(3*s - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - 1101010110010?\nAnswer: -1101010111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 114.787 - -1.413. Let k = c + 1.8. Let p = -117.39 + k. Round p to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 2\/7, -2, 7\/9?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*f**2 + 2 + 50*f**2 - 156*f**2 - 2 + 35*f**2 + 37*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 + 0*y**3 - 2*y**4 + 5*y**4 - 4*y**4 + 0*y**4 + 6*y**4 - 5*y**4 + y**4 + (4 - 4 - y**3)*(0*y + 0*y - y) - y**4 + 0*y**4 + 3*y**4)*(6 - 6 + 2*y).\nAnswer: 8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 67927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 5 (b) 7\/2 (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.11 and -0.08.\nAnswer: -0.0088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-36)\/(-9) + 1\/1 + 49 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -49*m + 479. Let g(n) = -57*n + 478. Give -6*g(d) + 7*o(d).\nAnswer: -d + 485","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -278.24 + 277.74. Let q = 1.8 - -0.2. Let s = -65\/4 + 16. Which is the third biggest value? (a) q (b) j (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 - 188*o**3 - 4416*o**2 + 188*o + 4418.\nAnswer: -2*(o - 1)*(o + 1)*(o + 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1022, 2086, 3098, 4064, 4990?\nAnswer: 5882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 6*g**2 + 6*g + 7. Calculate the remainder when 21 is divided by a(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3 = -3*t, t = -q + 3*q - 3. Solve 6*x = t*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 7*w**2 + 9*w - 4. Let k(f) = -16*f - 8. Let q be k(-1). Let o be t(q). Solve 18 - 10 = o*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4032867 to the power of 1\/2, to the nearest integer?\nAnswer: 2008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2189.6 - 2191.6. Which is the closest to 712? (a) -3 (b) 4 (c) 0 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 35*a**3 - 2*a**2 + 13*a. Suppose -2*k + 20 = 2*h, -9*k = -12*k - 2*h + 26. Let p(v) = -17*v**3 + v**2 - 6*v. What is k*n(r) + 13*p(r)?\nAnswer: -11*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27729014*r + 27729026*r + 180 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -1\/7 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 3*l**2 - l. Let h be u(3). Is 0\/(h + 7) + 7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) - -5*(sqrt(90) + sqrt(90) + (sqrt(90)*1 - sqrt(90))) - sqrt(90))\/(sqrt(27)*-6))\/(5*sqrt(18)\/(sqrt(3) + (sqrt(132) - sqrt(33))\/sqrt(11))).\nAnswer: -2*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**3\/2 + 256*b**2 + 12283*b\/2 + 5885 = 0. What is b?\nAnswer: -22, -1, 535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*x**3 + 69*x**3 + x**2 - x**2 - 114*x**3.\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 6:28 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 6:08 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (104\/52 - 6\/(-16)). What is the third biggest value in -13\/3, 4\/7, 0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67*n**6 - 2*n**5 + 20*n**3 - 5*n**2 + 407*n + 2?\nAnswer: 8040*n**3 - 120*n**2 + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = l - 4. Suppose 3*k - 24 = -d, 0*k + 4*d = -5*k + l. Let p(j) = j - 2. Let v be p(10). Calculate the greatest common factor of k and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221669339 divided by 2?\nAnswer: 221669339\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((0 - -9) + 6) - -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 70338 and 70338 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 10) in base 4?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 25291 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006971 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3636, -29448, -99586, -236214, -461496?\n\"Answer: -3694*g**3 + g**2 + 43*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -9*y. Let k(w) = 12*w. Let v(i) = 3*i + 48. Let x(a) = -a - 20. Let r(n) = -5*v(n) - 12*x(n). Let o(u) = -4*k(u) - 11*r(u). Give s(o(p)).\nAnswer: 135*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239819532.\nAnswer: 2, 3, 67, 298283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -19478276039 minus 0.34185?\nAnswer: -19478276039.34185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 25*a**2 - 438*a + 3355. Give c(12).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 18. Suppose 4*k = g + i, -k + 2*g = -0*g - 10. Find the third derivative of -45*y**k + 0*y + 0*y + 31*y**2 + 22*y**3 wrt y.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (-2 - -9))*(-2 - 260\/40).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 7. Let p be m(7). Let i = 739 + -399. Let y = -335 + i. Solve p = r + 4*r + 5*w, -16 = y*r - 3*w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 19*s**2 - 7*s + 42. Does 21 divide c(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 9) to base 12\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1774720*b**3 + 747179.\nAnswer: -5324160*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1305 and 348.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n - 1. Let v(m) = 20*m + 121. Let l(s) = -v(s) - 4*z(s). Let c be l(-15). Solve c*x + 0*p = -2*p - 1, 5*p - 11 = -3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - -141130551?\nAnswer: 141131001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*q + 77 = 287, 0 = m - q - 57. Calculate the greatest common factor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.1 + 9.7. Let q = 27\/77 - 7\/11. Put -3, t, q in decreasing order.\nAnswer: q, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -10244?\nAnswer: 10245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - -4. Let j = i + -6. Which is the biggest value? (a) 5 (b) j (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11473 + 1.\nAnswer: -11472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y - 9. Let c be t(-6). Suppose 3*b + 3*i - 15 = 0, -8 = -2*b + 5*i + c. Suppose 4*d = b*d - 60. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/10*2738020\/(-177166)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1021 = 4*u - 7*u - b, 0 = 4*u + 5*b - 1365. Let c = u - 160. Is 18 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((23205\/105)\/(-3978))\/(1\/(-498)).\nAnswer: 83\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 3:10 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-777)\/49 - -16)\/((-24)\/21 + 2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 289.4 - 302.23. Let j = -11.7 - m. What is j rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -53321454?\nAnswer: 53321445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 441*y - 7. Let m be w(10). Suppose 4*a - m = -1047. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + t = -5. Let p = -0.5 - -6.5. Let h = -11 + p. What is the third biggest value in t, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4669, -4666, -4661, -4654, -4645, -4634?\n\"Answer: c**2 - 4670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 86381, 172776, 259171, 345566?\n\"Answer: 86395*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 6*x**2 + 6*x + 7. Let o be l(7). Suppose -2*h = -o*w + 5*w - 5, 0 = 3*h - 5*w - 70. Solve 2*f = f + 3*g - 6, -4*g = f - h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**2. Let k(g) = 1405*g. Give p(k(w)).\nAnswer: -5922075*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*c*f - 2688804*c - 13907102*f + 2 wrt c.\nAnswer: 10*f - 2688804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 22?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.841525 millennia in years?\nAnswer: 841.525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 19*t**2 - 2*t + 1. Let r = -4 - -8. Suppose -15 = -3*i + h + 2*h, 3*h - 55 = -r*i. Calculate the smallest common multiple of i and u(1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5995?\nAnswer: 5, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.755238 minutes in milliseconds?\nAnswer: 345314.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = n + 3*z - 25, 35 = 3*n + 4*z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 593 a factor of 25734421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - x**2 - x + 2. Let f be a(0). Let k(y) = y**2 + 96*y - 3778. Let d be k(-126). Find the first derivative of -13 - d*t**3 - 17*t**3 - f wrt t.\nAnswer: -57*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4540, -3583, -1988, 245?\nAnswer: 3116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - -24. What is the greatest common factor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 1:34 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(2) + -5 + 5.\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559.\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/(-15) + 2)*5. Suppose s*h = -2*h + 4*k + 32, 5*h - 3*k = 30. Solve 15 = 3*n + h for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.262.\nAnswer: 1.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -978, -1957, -2920, -3861, -4774, -5653?\nAnswer: -6492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 6726831327 to the nearest 1000000.\nAnswer: 6727000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 639 + -645. What is the tens digit of 298*(c\/33 - 74\/(-44))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -234937, -469890, -704849, -939814, -1174785, -1409762?\nAnswer: -1644745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*-6*(sqrt(1700) + 0).\nAnswer: -300*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(2\/5))**(4\/13))**2)**45)**17 assuming s is positive.\nAnswer: s**(2448\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -108 in -0.3, -0.5, 0.03, 51, 8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -51*g - 30. Let m(t) = 5*t + 2. Let f(i) = -2*i - 1. Let b(w) = 5*f(w) + m(w). What is 21*b(d) - 2*x(d)?\nAnswer: -3*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 271\/5 + -54. Let b be (10\/6)\/((-1)\/(-3)). Suppose -6*m + 6 = l - 3*m, b*l - 3*m + 6 = 0. Which is greater: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - 15 + j**2 - 2*j**2)*(2 + 1 - 4).\nAnswer: j**2 + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 36 in -3, -7, 0, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 2, -118639, 0.5, 0.2 in decreasing order.\nAnswer: 2, 0.5, 0.2, 0.04, -118639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a day in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235716?\nAnswer: 2, 3, 13, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/12 + 34\/12. Let m = 11 - q. What is the remainder when 22 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 3*s - 5*r, -s + 26*r = 25*r - 17. Let v(t) = 2*t**2 - 31*t + 16. Determine v(s).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0445859 to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u - 23 = -2*s, 9 = 92*u - 190*u + 94*u + 5*s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 1.8, 24, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/22 + 690\/165. Suppose i*v - 3*v - 368 = 0. Let b = 2238 + -2192. What is the highest common divisor of v and b?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10740 and 102030.\nAnswer: 204060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*a**3 + 3*a**3 - 4*a**3)*(a**2 + a**2 - 4*a**2)*(5 - 5 + 2).\nAnswer: -84*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 977629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1107 divide 26727390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4093\/20 + 637\/20. Let g = -234 + w. What is the fourth biggest value in 5, 0, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 54*d**2 - 3*d + 19. Let a be k(-5). Suppose 4308 - 1500 = 4*h + 2*t, -2*h + 4*t = -a. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1157 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2585985*g**3 + 346928 wrt g?\nAnswer: -7757955*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.22 + 0.09. Let x = o - 0.29. Let p = -1.03 + 0.03. Is p at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3980.16 rounded to the nearest 10?\nAnswer: 3980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 248 and 744806.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 706, 734, 770, 814, 866?\n\"Answer: 4*x**2 + 16*x + 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -234 greater than -266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t - 11. Let h be v(0). Let l be 1 + (803\/h)\/(1\/(-9863)). Round l to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22823370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 4 - 13)*(-4*s + 3*s + 2*s)*(0*s**2 + 2*s**2 + 0*s**2 + (2*s - 4*s + 0*s)*(-3*s + 0*s + 5*s)).\nAnswer: 52*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 56 = -468. Let q = 203 + k. Calculate the greatest common divisor of q and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 805770 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104\/165 - -2\/55. Let w = j - 1\/6. Solve -3\/4*s + 1\/4*s**2 + w = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 10:12 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t + 2 + 34 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 230*v**2 + 2*v + 24. Let i(m) = -4*m - 108*m**2 - 62 - 120*m**2 + 37. Let q(w) = -2*i(w) - 3*k(w). Find the second derivative of q(b) wrt b.\nAnswer: -468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 7*z**2 + 3*z + 9. Let k be s(7). Suppose -6*i + 24 = k. Does 31 divide (-10 + 468)\/((-2)\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 513 divided by -171\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 1654.\nAnswer: 1654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.13 - -0.53. Let c = 0.526 - 0.626. What is the nearest to 3 in 0.2, c, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 0.13.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -147\/2 bigger than 13\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 8. Let u be ((-847)\/(-42) + -18)*-6. Sort u, 0, f in decreasing order.\nAnswer: f, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 47919971238 and -0.16.\nAnswer: 47919971237.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 6*u - 5. Let n be v(-8). Let t = 120 + n. Suppose 3*z + m = t*m + 317, 560 = 5*z + 3*m. List the prime factors of z.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 5*b - 2*b**2)*(46 - 121 + 236)*(11*b + 7*b + 2*b).\nAnswer: -6440*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -364601, -729205, -1093809, -1458413, -1823017, -2187621?\n\"Answer: -364604*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1206, -2386, -3542, -4674, -5782, -6866, -7926?\n\"Answer: 12*d**2 - 1216*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -5*x**5 - 2125*x**4 + 6540*x**3 + 51500*x**2 + 59920*x = 0.\nAnswer: -428, -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/11557 and 11\/26416.\nAnswer: 184912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*j - 5 + 0 + 5 - 4.\nAnswer: -175*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**12*((k*k**(-4)*k*k)\/k)\/k*k*k assuming k is positive.\nAnswer: k**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -458 + 450. Let t(u) = 3*u + 11. Determine t(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 6*f + 2*a + 11, -3*a - 15 = 0. Suppose -3*k + 7*k - 20 = 0. Sort k, f, 0 in ascending order.\nAnswer: 0, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**5 + 15*j**5 - 3*j**5 + (-3*j**3 - 5*j**3 + 0*j**3)*(8*j**2 + 2*j**2 - 9*j**2).\nAnswer: 6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 0. Let g(l) be the third derivative of l**5\/60 - l**4\/3 - 10*l**3\/3 + 3*l**2. Let h be g(i). Solve h = 2*p + 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2249 is divided by 206?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13289 and 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 60219.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w + 9*w - 62 - 15*w + 221*w**2 + 5*w + 3*w in the form o*w + i + t*w**2 and give t.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-472*w + 961*w - 490*w + 1689)*(4 - 4 - 3).\nAnswer: 3*w - 5067","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 10 = 4*j, -5*z - 3 = 5*j + 7. Suppose y + z = 2*y. Find the third derivative of -t**y - t**3 + 2*t**2 + 0*t**2 wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**2 + 11*b - 4. Is w(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 9:39 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 637909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -438.9 - -57.9. Let g = 377 + n. Which is the third smallest value? (a) 0.8 (b) g (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01560046 rounded to five dps?\nAnswer: -0.0156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 41*n - 4*n + 288 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2730 and 2610?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 4*k**5\/5 - 2*k**2 + 7. What is the second derivative of r(g) wrt g?\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 276 and 5059536.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -66*k**3 + 3*k**2 + 3*k - 3. Let h(l) = 462*l**3 - 22*l**2 - 22*l + 22. Determine 3*h(s) + 22*w(s).\nAnswer: -66*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24280*s**2*t**3 + 45*s**2*t**2 + 48*s**2 - 15*s*t**2 + 3*s - 4498*t**3 - 3*t wrt s.\nAnswer: -48560*t**3 + 90*t**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61753 - -61753.1. Let f be 6\/4*2\/(-6). What is the nearest to -1 in 4, f, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -230 - -11112?\nAnswer: 10442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13934564, 13934568, 13934572, 13934576, 13934580?\n\"Answer: 4*q + 13934560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 352*k**2*t**2*w**3 + 2*k**2*w**2 - 22*k**2*w - 192*t**3 + 299*w**3 - 3*w wrt t.\nAnswer: 704*k**2*t*w**3 - 576*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -231287 or -231293?\nAnswer: -231287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 114130 (base 7) to base 14\nAnswer: 7750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 12*i - 2. List the prime factors of v(2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -141 - -157. Let g(a) = -a**2 + 20*a + 42. Let j be g(t). What is the highest common divisor of j and 159?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -7*l - 1 + 5 + 2*l + 2*l**3 + 1. Let i(f) = -f**3 + 4*f - 4. Suppose -2*c - 4 = -c - 3*o, -3*c - 4*o = -27. Determine c*i(k) + 4*s(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from {b: 1, q: 1, w: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.528365749 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/4*128*(-207)\/(-1656).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 1:53 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1904 and 2176544.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-472 + 397 - 541 - 951)*(1 + 2*s - 1) to v*s + t and give v.\nAnswer: -3134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -30. Let k = -8 - u. Solve d - 4 = -1, k*d - 3 = 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2280*n**2 - 30*n - 150. Does 31 divide v(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/17 in -1, -5, -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.139775379 rounded to 2 decimal places?\nAnswer: 1.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 4:59 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6756, 13470, 20184?\n\"Answer: 6714*n + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 334739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 20?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/4694 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 558992.3 minutes to milliseconds.\nAnswer: 33539538000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/25 - 153\/5. Let l = -22 - d. Let s = l + -1. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from lqqqqwmmqqrmr?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39510192?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 86\/14 - 2\/14. Let p be (128\/(-24) + k)\/((-2)\/(-39)). Suppose 0*r - 14 = -2*r + 4*u, -5*u = 4*r - 67. What is the highest common factor of r and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 d when four letters picked without replacement from {d: 2, q: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-375)\/(-20))\/75)\/(1*(-3)\/516).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2021*b - 1225 + 160884 for b.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1\/2)\/h)\/h)\/h*h)**(-1\/9)*(h**(-1))**(-47)*(h**(-1\/2)\/h)**43*(h*h*h**(2\/5))**30 assuming h is positive.\nAnswer: h**(493\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 8*b + 6. What are the prime factors of i(-5)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*t + 34. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or 534?\nAnswer: 534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1063 + -1185. Let k = -119 - w. Suppose -1\/3*d**k + 1\/3*d + 0*d**2 + 0 = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) 3\/5 (c) 54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 49. Suppose 7 = -5*j + b. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 115 in -1.7, 1, -1, 0.009?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0 - ((-10 - -7) + 3)) + 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683 is divided by 92?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 15*f. Let u(j) = -3*j + 2. Let x(p) = -4*p + 3. Let s(h) = -6*u(h) + 4*x(h). Give s(m(k)).\nAnswer: 30*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*c**2*n**3*x - 5*c**2*n**2 + 2*c**2*n*x**2 - 8*c**2*n*x + c*x**2 + 3175*n**3*x**2 + 24*x wrt n?\nAnswer: -42*c**2*x + 19050*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001110001101010000 (base 2) in base 9?\nAnswer: -537368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 8*w + w + 8*w + w**2 - 20*w. Calculate f(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -101 (b) -112 (c) 47 (d) 3 (e) -2 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 16 = 7. Suppose 0*k = k - 45. Suppose -2*n + 5*v + k = p*n, -3*v - 9 = -n. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.7 + -41.3. Let w = m - -46.958. Let b = w + 0.202. What is the second biggest value in -2\/11, 0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a - 12*a = -18*a - z + 4, 12 = 3*z for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-6))\/(((g\/(((g*(g**2\/g)\/g)\/g)\/g))\/g)\/g*g))**(-4\/25) assuming g is positive.\nAnswer: g**(-28\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-22) + 526*(-2)\/(-22). Suppose 0*s + 34 = 2*s + 5*a, -5*a + p = 4*s. Let m = s + 81. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + sqrt(187)*3*4 + sqrt(187) - sqrt(187))\/(-3*sqrt(1331)).\nAnswer: -13*sqrt(17)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7007195642.424 + -2.\nAnswer: -7007195644.424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 4*l + 2*l)*(631 + 65 - 213)*(-2 + 0 + 7).\nAnswer: -2415*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*17\/((-680)\/100)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 0.5 (c) 7\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2012 and 821?\nAnswer: 821.2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/3 or 1?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 42 - 18. Suppose -3672*t - 2904 = -3705*t. Calculate the remainder when t is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1036389.\nAnswer: 3, 345463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1157.5494 nanoseconds?\nAnswer: 0.0000000000133975625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7933374*k**2*p - 2807367*k**2 with respect to p.\nAnswer: -7933374*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5566 and 726.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16, -59, -132, -235, -368, -531?\n\"Answer: -15*r**2 + 2*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*k = -k + 5, -2*y = -k - 5. Suppose 4*f = -5*o + f + 103, 0 = -y*o - f + 41. Is o a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 606*p + 4246. Let r be c(-7). Let l = 40 - 16. Suppose r*u - l - 75 = -v, -2*u + 4 = 0. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -3*y**5\/5 - 2823*y**4\/5 + 8496*y**3\/5 = 0.\nAnswer: -944, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-138 - -139)*(-2)\/(-7). Which is the third smallest value? (a) -1\/5 (b) -5 (c) r (d) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-8))\/5 - 14\/112. Let t = 5\/3 - 61\/33. Which is the closest to -0.2? (a) -0.1 (b) r (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o, -6*u - o = -10*u + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 20. Suppose -3*i = 66 - 87. Let r be z(i). What is the highest common factor of r and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbf when three letters picked without replacement from fblvfbfvf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/17, -7, -0.1, -1\/4, 0.0548?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(18)\/(sqrt(9)*-2)*-2 + 3)**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l - 9. Suppose l*a = 5*a - t - 1, 0 = -2*a - 3*t + 5. Suppose -2*f - 4*s = -26, -2*s + a = 2*f - 33. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -121*f**2*j**3 + 2368*f**2 - 267690*f*j**3 - 108*f*j + 2*j wrt j.\nAnswer: -726*f**2*j - 1606140*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, u: 1, h: 2, y: 5}. Give prob of picking 2 y and 1 u.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**4\/3 - 46*d**3\/3 - 124*d**2 + 46*d\/3 + 371\/3 = 0. Calculate d.\nAnswer: -7, -1, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*(((sqrt(180)*-4 - sqrt(180))**2 - sqrt(180)) + 3).\nAnswer: -24*sqrt(5) + 18013","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -54400, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0313792 * -13\nAnswer: 0.4079296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -28 + (-22 - 17) + 51.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-19)*k*k)\/(k\/k**(4\/9)) assuming k is positive.\nAnswer: k**(-158\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -125 + 117.9. Let v = k + 7.1124. Round v to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21904)\/(-66)*15\/(-2). Let f = 5109 + -7595. Let b = f - y. Calculate the common denominator of 26\/5 and b.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-40)\/c**9)**(4\/27))**22 assuming c is positive.\nAnswer: c**(-4312\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q**3\/7 + 744*q**2\/7 - 15570*q\/7 - 53568\/7 = 0.\nAnswer: -3, 31, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.358 - -159.642. Let n = h + -160.104. What is n rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/28 and 12\/(-243)*-25 - (-10)\/(-30).\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**4\/24 + 5*x**3 + 3*x**2. Let r be a(0). Suppose 2*o - r = f, -o + 0*f + 9 = f. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3137 divided by 172\nAnswer: -3137\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -236910 divided by -30.\nAnswer: 7897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 538917 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o. Let w(c) = 1932*c**2. Determine r(w(q)).\nAnswer: -1932*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -349 - 133?\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3668 + 29343\/8. Sort 24, 0.3, s, 2\/75, -0.3 in ascending order.\nAnswer: -0.3, s, 2\/75, 0.3, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**3\/2 - 4*h**2 - 2*h + 35. Calculate w(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 49\/573?\nAnswer: 49\/573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -11*o + 6. Let d(b) = -24*b + 13. Let s(j) = -6*d(j) + 13*l(j). Suppose -q = -2 - 0. Let m(v) = -4*v**2 + 6*v**2 - 4*v**q. What is m(s(r))?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - q + 19, -x - 2*x - q + 28 = 0. What is the smallest common multiple of x and 640\/6 - (-6 + (-120)\/(-18))?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 273 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -0.014, -58, 26\/7, 0.3 in increasing order.\nAnswer: -58, -13, -0.014, 0.3, 26\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 + -67. Let h(r) = r**3 - r**2 + r. Let w(k) = -5*k**3 + k**2 - 4*k. Give c*h(q) - w(q).\nAnswer: q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 9*g. Let i(b) = 5*b. Let v(k) = -11*i(k) + 6*z(k). Let l(j) be the second derivative of 0*j**2 - 1\/6*j**3 + 0 + j. Calculate v(l(o)).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -683 - 41246. Let t = d + -98071. What is t rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13600708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/35 + 444\/28. What is the greatest common factor of r and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72222770 (base 8) to base 11.\nAnswer: 8696883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 + 23*q - 10. Let t be l(11). Let f be (-123)\/15 + t\/5. Let p(s) = -s**3 - 9*s**2 - 11*s + 8. List the prime factors of p(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 2*j + 1. Calculate t(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/440 - (1 - 138\/80).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -1 + 2 + 1 - 15*g - 4. Let r be f(-2). Suppose -4*u + r + 20 = 0. What is the remainder when u is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/10 - (-21)\/(-15). Let a be 0 + 3 + -3 + (p - -2). Let o be (-224)\/282 + -13 + (-369)\/(-27). Which is bigger: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6762879.\nAnswer: 3, 19, 13183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-3) - 4\/6. Suppose -3*p + 0*p = 4*d, 2*p = -2*d. Let b(q) = -318*q + 3182. Let t be b(10). What is the biggest value in t, p, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -2*j - 4*j + 29 + 29, 2*m + 74*j = -106 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 2*t - 176 = -4*j, -t + 28 = -3*j. Suppose -3*c = -t + 4. Solve -4 = 4*q + c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5*s**2 - 5. Suppose -4*q + 42 = 3*q. Let y(a) = -9*a**2 + 9. Let c(m) = q*y(m) + 11*u(m). Calculate c(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51230\/2725)\/((-8)\/(-20))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c**2 + 9*c**2 - 5*c**2 + (2 - 1 - 3)*(3*c**2 - 2*c**2 + c**2) + 0*c**2 - c**2 - c**2 + 2*c**2 - c**2 - 3*c**2 + c**2 - 6*c**2 + 7*c**2.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2671265967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**5\/20 - 5*q**4\/6 + 4*q**3\/3 + 9*q**2\/2 + 3*q. Let a be m(9). Solve 3*z + 0 - 6 = a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) -3\/4 (c) 699 (d) -1\/4 (e) -0.1 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 3971140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/1 - 5 - 62\/(-1). Let a = -57 + n. Solve -5*z + 2*z = 5*k - 17, 18 = 4*k - a*z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 2:19 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24223 by 2047.\nAnswer: 24223\/2047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.9 - -7. Let i = 0 + 0.2. Is i >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 3*h + 18. Let d = 25 + -20. Calculate the highest common factor of h and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**3 - 116492*o**2 - 192881096*o = 0 for o.\nAnswer: -1571, 0, 30694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 742650342?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 5*s - 9. Let w be m(-2). Sort 0, w, -2\/11 in increasing order.\nAnswer: w, -2\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfodo. Give prob of sequence df.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.59 (b) 1\/8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -809*k + 1627*k = 5*g + 815*k + 81, -2*g + k - 33 = 0 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 - 2*v + 1. Let s be f(1). What is the third derivative of -6*g**3 - 5*g**2 - 2*g**5 + 6*g**3 + 0*g**s wrt g?\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14051346 + -14?\nAnswer: 14051332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.13 (b) 7\/13 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*u + 24 + 4, -3*r = -u + 16. Let g be u*75\/10*(-3)\/(-15). Let w(p) = p**2 - 10*p + 8. Does 26 divide w(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/6*-10 - 2. Let x be 33\/4 + (56\/(-4) - -6). Let c = -0.9 + 1. Sort x, i, c.\nAnswer: i, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66039676 to the power of 1\/2, to the nearest integer?\nAnswer: 8126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwwwzzwkzkwwzwzzww. What is prob of picking 4 w?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14479691, 28959395, 43439113, 57918851, 72398615, 86878411?\n\"Answer: o**3 + o**2 + 14479694*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -441034 + 441036. Suppose 2*q = 3*q - 2*i + 10, 4*q - 2*i + 10 = 0. Determine b, given that q*b**h + 1\/3*b**3 + 2\/3*b**4 + 1\/3*b**5 + 0*b + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n**2 + 2*n + 9. Let t(h) = 2*h**2 - h - 5. Let d(o) = 3*f(o) + 5*t(o). Determine d(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**2 + 50*n. Let r(h) = -h**2 - h. Let y(u) = 2*p(u) + 20*r(u). Solve y(v) = 0.\nAnswer: 0, 20\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -1217, -5, -3, 0.8 in descending order.\nAnswer: 0.8, 1\/2, -3, -5, -1217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - v - 181 = 2*c, 0 = -c + 3*v + 71. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 157\/2*d**2 + 0*d + 59 + 0*d**3 - 55\/4*d**4. What is the second derivative of h(i) wrt i?\nAnswer: -330*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 310\/(-30) + 10?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -26151\nAnswer: -2\/26151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/6 - (-760)\/6. Suppose -2*a + 5 - 28 = 3*f, 0 = f - 4*a + 3. Let g = o - f. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1123 + -825.\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 - -47. Let j be (7 + k)*(1 - 0). Which is smaller: -13\/5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.38 + -3.08. What is the second smallest value in 0.03, 0.73, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 8\/(-12) + 0 - 980\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/1 + (-2772)\/(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -669 + 361. Let h be (120\/42)\/(11\/(r\/(-8))). Let w(d) = -10*d**3 - d**2 - 3*d - 2. Let t be w(-2). What is the highest common divisor of t and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 1 - 134. Suppose -r - 9 = -3*s. Solve s = 6*c - 3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3167.5 - 3168. Let h = 4.28 + -0.28. Which is the smallest value? (a) -0.2 (b) -16 (c) z (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 51\/4 of a hour?\nAnswer: 765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2. Let p = 153 - 236. Let m = 82.6 + p. Put m, 0.4, l in decreasing order.\nAnswer: l, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/8880 and 149\/408.\nAnswer: 150960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2. Let t(w) be the second derivative of -w**4 - 7*w. Calculate t(s(v)).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 3*o + 6. Let i be l(-4). Suppose 0 = -i*a + 18 - 10. Suppose 7 + 5 = 4*z, z - 43 = -a*y. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 m, and 2 h when four letters picked without replacement from hkhhhhhhhhhkhhkmkhmm.\nAnswer: 312\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1512 times 5.31?\nAnswer: -8028.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, u: 2, m: 6, x: 1}. What is prob of sequence vvvu?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -l**4\/24 + l**2 + 2. Let n(k) be the second derivative of y(k). Let d(z) = z. Determine n(d(t)).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from pppffpp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 6*l + 4*l)*(2 - 3 - 4)*(2*l + 2*l - l).\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 411477, 411462, 411437, 411402, 411357?\n\"Answer: -5*b**2 + 411482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/108*6*(-1182)\/2. Let h = g - -332. Suppose 0 = 5*a - 4*k - h, -3*a + 4*k + 79 = 2*k. What is the remainder when 86 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1030 and ((-44)\/(-12))\/(6 + 20\/(-3) - -1).\nAnswer: 11330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -14. What is the smallest common multiple of (-2002)\/(-572) - 118\/(-4) and y?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1674 is divided by 47.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1042a - 195?\nAnswer: -10614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from {j: 1, y: 1, i: 1, m: 12}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 2 - t**3 + 2*t**2 - t + 2*t - 3. Let f be a(4). Find the first derivative of -7 - f*g + g + 11 wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168625367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 184.2599 - 2.2299. Let s = 182 - k. Which is the second biggest value? (a) s (b) 2 (c) 3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -12)*(-5)\/15\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1026330903 by -3.\nAnswer: -342110301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(490) - ((sqrt(490) - (5*sqrt(490) + sqrt(490))) + sqrt(490))).\nAnswer: sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t + 3\/2*t**2 - 29 + 3\/8*t**4 + 13\/12*t**3 + 1\/20*t**5. Determine f, given that u(f) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 6*(sqrt(500) + -2 + sqrt(500)) + -5 + -6*(2 + (sqrt(500) - (sqrt(500) + (sqrt(500) - -2*sqrt(500)))))*-4)**2.\nAnswer: -34800*sqrt(5) + 1800841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 - 9*j**2 - 3*j - 13. Calculate v(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -0.6 (b) 1 (c) -1\/6 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 89\/123, 4, -0.095?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0628 - 0.3628. Which is the closest to k? (a) -0.08 (b) 0 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*((-1 + -4)\/(-5) - 0). Suppose 205 = t + r*c, -5*t + 4*c + 652 = -373. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 10.97. What is o rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-2)\/(-2)*1\/(-1))*449022\/235202?\nAnswer: 21\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2*(sqrt(125) + 1) - 1*(1 + sqrt(125)))*4 + (0 + sqrt(125) + sqrt(125) + -4 + sqrt(125) + sqrt(125) + 5)*3)**2.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 265.5 - 5.5. Let p = 263 - k. What is the closest to -5 in 2\/9, -5, -0.5, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 388 divide 5529388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + m = -m. Let t(a) be the first derivative of 0*a + 0*a**3 + m*a**2 - 1\/18*a**4 - 5. Factor t(r).\nAnswer: -2*r**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyn when three letters picked without replacement from {y: 3, o: 1, k: 3, j: 1, t: 1, n: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17776122 - 0.23.\nAnswer: -17776122.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -150.1 - -261658?\nAnswer: 261507.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w. Let q(x) = -12651*x**2. Give q(z(g)).\nAnswer: -316275*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**4 - 3*l**4 + 6*l**4 - 92*l**4 + 8976*l - 8976*l + (-1 + l + 1)*(0*l**3 + l**3 - 3*l**3) in the form d*l**2 + f*l + h*l**4 + y + a*l**3 and give h.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/38 in 20, -5, 2\/5, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -172.45 - -162.45. Let m = 0 - 0.4. Which is the third smallest value? (a) 1 (b) h (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, u: 6, k: 4}. Give prob of picking 4 u.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1460, -5850, -13186, -23468, -36696?\nAnswer: -52870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.104 and -137.63570058.\nAnswer: -137.73970058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 1243.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 + 8. Let z be g(-5). Let i = z - -79. Suppose 4*x - i = 179. What is the greatest common divisor of x and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1564*a*t*w**3 - 6*a*w**3 - 106*t*w**2 + 2*t*w - 19*t + 4*w**3 wrt a.\nAnswer: 1564*t*w**3 - 6*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 + -107. Let r be 1822\/(-7) - (w - 37\/7). Does 16 divide -4 + (-8)\/(32\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 974068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3. Let x(y) = -2*y**3. Determine -5*s(i) + x(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54.02 + -54. Let v = -0.01978 + t. Round v to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1050 + -1050.00421. Round w to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/2)\/((-3)\/(-6)). Let c be (b\/6)\/(115\/(-30)). Is c smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*b + 35680, -5*z = 4*b + 1101 + 46474. Round b to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 198 = 399. Suppose 0 = x + 4*j - 58, -4*x - 6*j = -j - c. Is 23 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/(-1)*(-22577)\/(-22577)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 541*h - 270*h - 277*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 0, 106, -7 in decreasing order.\nAnswer: 106, 0, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-15)*3\/12*(1 - -17). Suppose 2*u - u = 0. Let w(y) = 4*y + u - 2*y - y + 1. Let h(z) = 5*z + 6. Give f*w(v) + h(v).\nAnswer: 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 + 20*r**2 + 17219*r + 172149. What is h(-10)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22001517 and 1.4.\nAnswer: 30802123.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 248 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 65 = -r. Suppose -2*t - 77 = 31. What is the remainder when r is divided by (-4)\/10 + t\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yonyooyo. What is prob of sequence oo?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 + 2*a - 7. Let m be f(2). Suppose 4*d = m*y + 9 + 15, 4*y = 5*d - 30. Let q(c) = 5*c - 9. What is q(d)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8623.048ns in microseconds?\nAnswer: 8.623048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 15147.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*y + 44, -y = -3*y - 2*j + 48. Let v = y - 16. Let b = 39 + -38. Solve -b + v = -3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/(a\/(a**17\/a*a)*a*a))\/a)*a)**(-46)*(a*a**30*a)\/a*a*a*a*a**21\/a)**(2\/37) assuming a is positive.\nAnswer: a**(1212\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-2 - 3)) + (-1 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200909.\nAnswer: 200909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.149 - 7.856. Let m = 0.005 + g. Let h = -19.99999962 - m. Round h to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14605 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89 - 87. Suppose -n - 2 = a*m + 7, 2*m = 3*n + 3. What is the second smallest value in m, 0.5, -2\/25, 0?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 372b3c7 + -2?\nAnswer: 372b3c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 15792042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 342348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**5\/60 + 7*s**4\/24 + 5*s**3\/6 + 2*s**2. Suppose 4*u + 6*u - 1000 = 0. Suppose -18*o - u = 2*o. Determine t(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 209764*r. Let m(u) = u. Determine s(m(g)).\nAnswer: 209764*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -2*r**6\/3 + 4*r**5\/5 + 3*r**4\/4 - 2*r**3\/3 - r**2\/2 - 3. Factor x(d).\nAnswer: -d*(d - 1)**2*(2*d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8987562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 3*n - 3*n + (-2*n + 2 - 2)*(-3 + 2 - 1))*(-2 + 10*n**3 + 2).\nAnswer: 50*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 68*c + 1892. Let x be u(-7). Calculate the highest common factor of 216 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times -0.3?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a tonne in kilograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 6*b**2 - b - 7. Suppose -2*q - 17 = -15. Let r = 7 + q. What is s(r)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - -14)\/(-6) - -29. Let m be 9\/(-9) + c + -1. Suppose 2*y - 48 + m = 0. Solve -y = -5*n + 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtdstssdttsdsd. What is prob of sequence dtt?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/h**(3\/5))**(-11))**(4\/17) assuming h is positive.\nAnswer: h**(-528\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-1 - -4 - 2) + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/28 - (-52)\/14. Suppose o = 4*o. Let f = o - -5. Solve -17 = f*z + a*x, 5*z + 14 = z - 3*x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 + 7*w - 6. Let x(p) = -5*p**2 - 5*p + 5. Let y(n) = -n**2 - n + 1. Let a(o) = -x(o) + 6*y(o). Determine 6*a(m) + s(m).\nAnswer: -4*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**5 + 57716*g**4 - 1268970*g**3 + 5363776*g**2 - 8074216*g + 3921696 = 0.\nAnswer: 1, 2, 17, 28836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/3 (b) -3\/4 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2825 or -15\/4?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*l - 4007 - 4858 = 0 for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 30. Let y be (-1*(2 - 2))\/(0 + 1). Solve 3*m - o = b, y + 10 = 2*m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjxp when four letters picked without replacement from {x: 1, y: 1, s: 1, j: 1, p: 1, d: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1 + 1 + 1 - 4 + (4 - 1 - 2)*(1 + 0 - 3) + (7 + 2 - 4)*(1 + 0 + 1))*(-5*v**4 + 0*v**4 + v**4).\nAnswer: -20*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 1 - 9. Solve 0 = -0*o - o + g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 453*a - 82*a**4 + 17*a**2 - 747*a - 17*a**2 wrt a?\nAnswer: -984*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(-3) - 3\/((-18)\/4). What is the tens digit of (4 + (-8)\/d)*(-966)\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2*o**3 - 3230*b**2*o - 3076*o**4 + 883*o**2 + 282*o wrt o?\nAnswer: 6*b**2*o - 36912*o**2 + 1766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 104444, 208887, 313326, 417761, 522192, 626619?\n\"Answer: -2*b**2 + 104449*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 68. Let u = v - -88. Let l = u + -35.00163. What is l rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 1:04 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-7)*v)\/v**(-1\/10)*(v**23\/v)\/(v\/v**(-5)) assuming v is positive.\nAnswer: v**(111\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5 = 16. What is the highest common factor of 22 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 3*f**2 - 6*f - 9. Suppose 20 = -3*x + 7*x. What is the lowest common multiple of l(-3) and x?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-4))\/(4\/8). Solve -i = -5*o + 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w + 5 - 5 + (-3 - 1 + 2)*(3 + 4*w - 3) + w - w - 3*w)*(2 - 6 + 2 + (4 - 5 + 0)*(0 + 0 - 1) + 4 - 2 + 0).\nAnswer: -17*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2835, -6300, -9765, -13230, -16695?\nAnswer: -20160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25050 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/(-20)*(-2290)\/(-17404)?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and ((-66)\/(-1))\/(24\/16)?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2, -4*b - 320 = a - 798. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*w**3 + 2*w + 392?\nAnswer: -9*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 6 = 2. Let d(a) = a**2 - 3*a + 1. Let p be d(2). Do x and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 4. Let f be (-46)\/(-78) + s\/3. Let b be (2 - (-1)\/(-1))\/(-24 - -23). Which is bigger: f or b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 5. Suppose 0 = t - s + 9. Suppose -t*x - 240 = -6*x - 2*q, 78 = x + 5*q. List the prime factors of x.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 98*o**2 - 15*o + 13. Let z be y(-14). Let t be 1\/(z\/(-2160) - -9). Is 240 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 43*d. Let s(g) = -88368*g. What is s(i(z))?\nAnswer: -3799824*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4994 + -6c55?\nAnswer: -22b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.98 (b) -3 (c) 2 (d) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.17 - -0.17. Let y = g + 9.6. Let l = 1.5 - y. What is the biggest value in l, -0.3, -0.6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 4:35 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(2*2\/(-84)). Suppose 0 = -0*v - v + 25. Let c = z + v. Let d(i) = -i**3 + 4*i**2 - i - 2. What is d(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.26982 to 2 dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16133402.\nAnswer: 2, 61, 132241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)*d\/((d**(-3\/8)\/d)\/d))**(-4\/29) assuming d is positive.\nAnswer: d**(-3\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1914156.\nAnswer: 2, 3, 53171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = g - 37021, 5*h - 9273 - 27736 = -4*g. Calculate the remainder when h is divided by 161.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326348839?\nAnswer: 2791, 116929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/12)\/(14\/(-3)). Sort l, -0.1, 3 in increasing order.\nAnswer: l, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 776191281 + 0.075321.\nAnswer: 776191281.075321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 2*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 1, -22, -4 in decreasing order.\nAnswer: 1, -1\/10, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12464, 24927, 37390, 49853, 62316?\nAnswer: 74779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqb. What is prob of sequence qbw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*a**2 - 3*a**2 - 5*a**2 - 4 + 5*a)*(3 + 0 - 1)*(3*a - 2*a - 3*a) in the form r + j*a + g*a**3 + w*a**2 and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 0*m + m)*(2*m**2 - 2*m**2 - 3*m**4) - m**5 + 0*m**4 + 0*m**4.\nAnswer: 2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753809 is divided by 2968.\nAnswer: 2905","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37925 + 12321 = -436*x + 1446*x + 6716 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 28, 108, 322, 736, 1416, 2428, 3838?\n\"Answer: 11*h**3 + h**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157, -314, -471, -628?\nAnswer: -785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*t - 7 = -2*n - 82*t, -5*t - 9 = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -3. Suppose 0 = -3*q - 4*r - 11, -b*q + 4*r = -r - 34. Suppose 4*o = -3*s + 5, -5*o - 2*s = 2*s - 6. Sort q, 5, o.\nAnswer: o, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**4 + 4*a**4 + a**4 + (-a**2 + 0*a + 0*a)*(-2 - 2*a**2 + 2) in the form m*a**4 + d*a**3 + u + b*a**2 + j*a and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 52*q - 49*q + 5*d, 0 = 3*q - 5*d + 21 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -110.6 - -114. Let h = -0.035 - -3.335. Let c = u - h. Is -7\/5 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u + 27 - 27 - 3*u - 2 + 2 + 0*u - 2*u + u + 7*u + 4*u - 7*u + (2*u + u - u)*(2 + 0 - 3).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37.665 + 40.665. Which is the fifth biggest value? (a) r (b) -1 (c) -4\/5 (d) 0 (e) -1.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z + 74. Let m be f(-14). Suppose s - 3*s = -16*s. Solve s = -w + m - 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1190\/11 + 3658\/33. Let w(t) be the first derivative of -p*t**2 - 2\/9*t**3 - 32\/3*t - 3. Find u, given that w(u) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17)*1*-2 + -2)*-5)**2.\nAnswer: 200*sqrt(17) + 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 1.7\nAnswer: 1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 - -51. Let u(y) = 8*y**3 + 5*y**2 + 6*y - 8. Let b(o) = 15*o**3 + 9*o**2 + 11*o - 15. Determine x*b(p) + 11*u(p).\nAnswer: -2*p**3 + p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8455849.400178 - -8455859. Let a = 9.6 - t. Round a to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -316 - -369. What is the remainder when y is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 - (-1 - -2)*2. What is the fourth smallest value in 2, -2\/7, -1\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 12*k**2 - 34*k + 93. Let p be j(14). Let i(l) = l**3 - 2*l**2 - 2*l + 1. Let c(s) = -4*s**3 + 8*s**2 + 9*s - 5. What is p*i(r) + 2*c(r)?\nAnswer: r**3 - 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 6:53 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 19*k + 15. List the prime factors of x(19).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/4)\/(2\/20). Let b = -5 + z. Suppose 28*q - 3*v = 27*q + 20, -v = -5*q + 30. Calculate the remainder when b is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4223713 rounded to four dps?\nAnswer: 1.4224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 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: Determine u so that -2*u**2 - 99658*u - 27845976 = 0.\nAnswer: -49548, -281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8.67242 and -2587.\nAnswer: -2595.67242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 - 20*m - 15. Let o be k(-9). Solve o*d + 6*d = 8*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4 = -4*o, -2*d - 2*o + 5*o = 30. Let n be d + (1 + 0 - -3). What is the tens digit of (2\/n)\/(2\/(-632))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*n - 193*n - 17*n**2.\nAnswer: -17*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q**4 - 20*q**3 - 104*q**2 - 102*q + 5. Let p(v) = -6*v**4 + 20*v**3 + 104*v**2 + 104*v - 4. Let i(c) = -5*p(c) - 4*r(c). Factor i(a).\nAnswer: 2*a*(a - 14)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 206? (a) -22 (b) 26 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 17*q + 51. What is f(-13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*d - 16 = -3*j, 5*j + 4 = d. Suppose -3*v + 5*t + 4 = j, -4*t = -v - 2*t + 1. Suppose l - 12 = -8. Sort v, l, 5 in ascending order.\nAnswer: v, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*x - x - 2*o + 2, 36*x = 17*x + 22*x + 23*o + 98 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 24 = -3*u - u, -2*u = -4*k + 12. Let g be (u\/(-3))\/((-8)\/36). Solve 0*h + 0 + 1\/3*h**2 + 1\/3*h**g = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*u + 10660 = -42*u + 2242 - 7234 for u.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -9d586?\nAnswer: -9d588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 p when two letters picked without replacement from mvpvvmmmmmmmmmpvmvv?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*p - 56, 0 = 3*p + 5*a - 20 - 5. Let n = -29\/2 + p. Let v = 242 + -239. What is the nearest to 1 in v, n, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.31, 0.1, 74, -3 in ascending order.\nAnswer: -3, 0.1, 0.31, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, w: 6, b: 9, d: 1}. Give prob of picking 1 t and 2 b.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 23*v**3 + v**2 + v + 1. Let w be t(-1). Calculate the common denominator of ((-2)\/w)\/((-8)\/(-156)) and 83\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8560983 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4231 = -34*k + 168*k - 9035. Solve 0 = -52*d + k + 57 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/3 + 390*w.\nAnswer: 2*w*(w + 585)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.3 take away 206.4?\nAnswer: -189.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(9)*1*3*2)\/(sqrt(36)\/(sqrt(144)\/(-1*sqrt(12)))).\nAnswer: 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 + 5*f**2 - 45 - f**3 + 0*f**3 + 92 - 43 to the form p*f**2 + q*f + g*f**3 + z and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14330 and 5.\nAnswer: 14330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205380.3l to millilitres.\nAnswer: 205380300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*((j**(-1\/5)\/j)\/j)\/j)\/(j\/(j**(-16)\/j*j)))**(-4\/9))**(11\/4) assuming j is positive.\nAnswer: j**(352\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*o**3 + 102*o**3 + 24*o**2 - 317*o**3 + 112*o**3 - 24*o**2.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j. Suppose 3*g - 5 = z + 7, -3*g = -4*z - 21. Let n be 4\/(z - -5) + 5. Let p(v) = 3 + 6*v + n - 10. Give p(f(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -0.5, 1\/3, 2\/3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**7\/2940 - t**6\/1260 - t**5\/210 + 2*t**3\/3 + 7*t. Let r(l) be the second derivative of k(l). Find a such that r(a) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -7*b + 4*b + 96, -96 = -4*v + 4*b. Suppose -50*t + v = -42*t. What is the highest common divisor of t and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -30*r - 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20980960 and 1430.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -8*d. What is the least common multiple of g(-1) and (-1 + -7*1)\/((-97)\/194)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*b**4 + 7*b**4 + 0 + 0 + b**3 - 2*b**2 - 1 in the form m*b**4 + t*b + w*b**3 + x + y*b**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*m**2 - 131*m**2 + 379*m**2 - 139*m**2.\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 7 = -2*r, 5 = 3*r + n - 1. Let u be 2*(14\/4 - 2). Put u, r, 0 in increasing order.\nAnswer: 0, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 20530*y - 684. List the prime factors of f(2).\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28.9141*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22436388?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/4 + (1 - 4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a microgram in nanograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*j + 9*j - 67*j in the form a + i*j and give i.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 2\/9, -3, 2\/7, -0.2, 10?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004762 to 4 decimal places.\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2234467069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1244346 divided by -213.\nAnswer: -5842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -9. Let i be (5 + x)\/(4\/(-1)). Suppose i = 10*p - 8*p - 26. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17311 or 1995.1?\nAnswer: -17311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2 + 2*o + 3. Let z(x) = 4*x**2 + 2*x + 2. What is -2*v(c) + 3*z(c)?\nAnswer: 6*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 4*w - 20, 5*n + 5*w + 50 = 10*n. Suppose 78 = -n*f + 14*f. Which is smaller: f or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 2. Suppose 4*y - 6*d = -4*d + 664, -y + 167 = -d. Suppose 668 = o - l*r - y, -4*r - 3336 = -4*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 534\/5*y + 1076\/5 - 2\/5*y**2.\nAnswer: -2*(y - 269)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 183 or -2?\nAnswer: 183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(176))**2 + (-4*sqrt(33))\/sqrt(3) + 0)*4*4 + -5.\nAnswer: -64*sqrt(11) + 25339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4 = -4*x. Let r be (-4 + 4 - -2)\/x. Let m = -260 + 2858\/11. Is m <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32943183 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00456189 rounded to 5 decimal places?\nAnswer: -0.00456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 759 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -26, 3, 375, -5 in descending order.\nAnswer: 375, 5, 3, -3, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7114254, -32, 5 in ascending order.\nAnswer: -32, 5, 7114254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**0)*v\/(v*v\/(v**(-1\/5)*v)))**33 assuming v is positive.\nAnswer: v**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (291 - 328) + -2 + 18\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + q**3 + 2*q**2 + 0 + 4 - 12*q + 10*q + 5 to the form y*q + g + b*q**2 + i*q**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 50 = 2*c, -t + 5*c + 13 = 38. Put 4, 5, t in increasing order.\nAnswer: t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10710)\/(-595)*56\/(-18).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126597 is divided by 63293?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -601*m**3 + 1. Let y(a) = 3*a**3 + 1. Give -g(d) - 4*y(d).\nAnswer: 589*d**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.0903t to nanograms.\nAnswer: 72090300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7*t - 5. Let y be p(-7). Suppose -603 + 2043 = 20*a. Let g = a + y. Calculate the least common multiple of 33 and g.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(4\/3)*q*q*q*q**9)**(2\/3))**(4\/11))**(-24) assuming q is positive.\nAnswer: q**(-2560\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/7 - (-186)\/(-14). Let k = r + 23. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 7:02 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7273 is divided by 328?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from {z: 3, w: 5, h: 1, e: 1, j: 3}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, 6, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2205\/8 - 19829\/72. What is the closest to 4 in -0.1, 2\/15, z, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -31 (c) 43 (d) 2\/7 (e) -831 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -11*y**2 - 1331*y - 4004. What is m(-3)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-59)\/((-413)\/42))\/(-5*9\/(-300))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 25392*y**2 - 1518*y - 759. Let i(n) = 67*n**2 - 4*n - 2. Give -759*i(j) + 2*o(j).\nAnswer: -69*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o. Let m(g) = -17*g + 29 + 7 - 24*g + 8 + 46*g. Determine d(m(s)).\nAnswer: 5*s + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 7:51 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1708238.\nAnswer: 2, 7, 17431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 30514 divided by 3\nAnswer: 30514\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*t - 75 + 65 - t**3 + 2*t**2 - 60*t + 2*t**4 in the form b*t**3 + i*t**4 + c*t + x + y*t**2 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3 - 2 = 0. What is the common denominator of 4\/66*o*39 and 28\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 696349?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**2. Let u(k) = 1077*k + 4. Calculate i(u(h)).\nAnswer: 3479787*h**2 + 25848*h + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644 (base 9) in base 12?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 11*a. Let d(p) = 22*p. Calculate 2*d(l) - 5*j(l).\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.32 + 2.32. Let r = -3 + 2.5. What is the nearest to c in r, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84161684, 84161689, 84161696, 84161705, 84161716?\nAnswer: 84161729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 5 - 5767978*w**3 + 3.\nAnswer: -5767978*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -40.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0*b - b)*(-5 + 4 + 2)*(19 + 6 - 2) - b + 2*b + 0*b + (-b + 0*b + 0*b)*(2 + 2 - 6) - 3*b + b + b.\nAnswer: -21*b - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lctttzltcccztctcctc. Give prob of picking 2 l, 1 z, and 1 c.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t**3 - 2*t**2 - 31*t + 10. Let u be k(7). What is the highest common factor of u and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/3 (b) 0.3 (c) -5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28804 and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -9 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from dxcxdxxdzdxdcxdzxdfc?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 divided by -30?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 5*h - 5. Calculate o(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 15. Let b be 3*1 + (3 - 4). Sort c, b, 1.\nAnswer: c, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v. Suppose -5*f + 5*n = 5, -3*f - n + 8 = -9. Let x(u) = 8*u - 5. Let c(y) = -7*y + 4. Let m(l) = f*x(l) + 5*c(l). Determine i(m(w)).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 3*g - 18. Suppose 9 + 7 = b. Let y = g + b. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9423241?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 141922911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x + 4. Let h be d(-5). Let s(p) = 3*p + 23. Let i be (8\/(-10))\/((-8)\/100)*-1. Let b be s(i). Which is greater: b or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, p: 5}. What is prob of picking 2 e and 1 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3 - 2*s + 3. Let x(a) be the third derivative of -a**5\/30 - 9*a**2. What is q(x(v))?\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 248186 and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/55 less than or equal to 1\/198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 13*a**3 - 11*a - 11. Suppose -5*p + 9 + 21 = 0. Let h be -6*1*(-2)\/4. Let f(s) = 3*s + 7 - 1 + h*s - 7*s**3. Determine p*c(d) + 11*f(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -7*i**4\/6 - 5*i**3\/6 - 3*i**2\/2 + 30*i. Let c be g(-1). What is the units digit of (4\/6 - c\/(-12))*-69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3413994?\nAnswer: 2, 3, 568999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 + 7*d**2 - 7*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a - 16. Let t(k) = -3*k - 8. Let c(y) = -7*t(y) + 4*u(y). Suppose 0 = -v - 7 + 11. Give c(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6)*(-13 - (-5 + (-36)\/5))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*u = -58. List the prime factors of u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3792 and 13035?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14595507?\nAnswer: 3, 1621723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1110011 (base 2) to base 5\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + y**2 - y - 20. Calculate k(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l**3 + 2*l**2 - 2*l - 1. Let j be k(1). Solve 18*b - j = 16*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**3 - 3*w - 35 + 48 - 64 to s + x*w + t*w**3 + o*w**2 and give s.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -291\/598103 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1788 and 12?\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnhhnchnhhnhhh. Give prob of sequence cnh.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -7*m**3\/3 + 3*m**2 - 1. Suppose 13*d - 12*d - 2 = 0. Let w(v) = -41 + 20 - 6*v**d + 21 + 5*v. Calculate 5*l(u) - 6*w(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -9899.\nAnswer: 1\/9899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-24)*3*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 8*z - 4*k = -236, 5*k + 85 = z. Calculate the highest common divisor of z and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 22. Let s = 105 - 75. Suppose s*c - 80 = 25*c. Calculate the lowest common multiple of b and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62146365.\nAnswer: 3, 5, 41, 101051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -130\/7? (a) 0.09 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -2. Let v = l - 2.0000001. Round v to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 - ((1 - 1) + 1). Let m be 4\/a - 11\/30. Let c be (-3)\/(-6)*(4 + -7 - -3). Which is smaller: m or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 17. Let c(w) be the first derivative of -2 + 0*w**o - 1\/3*w**3 + 0*w. Let r(m) = m. What is r(c(u))?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -7*k - 20. Let l be (-2 - -7)*(-8)\/k. Solve -i - l = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 1269. Let i(t) = -2*t**2. Calculate i(s(b)).\nAnswer: -2*b**4 + 5076*b**2 - 3220722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 + 0*j**3 + 5*j**3 + (-11 - 8 + 10)*(-j**3 + 0*j**3 + 0*j**3).\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/4 of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3067 - 3*h**2 + 1547 - 84*h**6 + 1605 wrt h.\nAnswer: -10080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 + (92 - 140 - -48)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, w: 9}. Give prob of picking 2 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5*sqrt(66)\/sqrt(6) + (((-6*sqrt(77)*-2 - sqrt(77)) + sqrt(77) + sqrt(77) - sqrt(77)) + sqrt(77) - sqrt(77) - sqrt(77))\/sqrt(7))**2.\nAnswer: -160*sqrt(11) + 2841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -338\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 4)\/(-3) - 39. Let f be (-3 - -2) + h\/(-38). Which is smaller: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -84\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1205*(-17)\/425 + 2\/(-10) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -393 + 14727?\nAnswer: 14334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 42 = 2*l + a, 5*l + 3*a - 94 = 0. Let x be (16\/(-2))\/(l\/(-10)). Let z = 8 + x. 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: What is the second derivative of 30590665*j**2*n**3 + 2*j**2*n - 439*j*n**3 - 6*j*n**2 + 26*j*n + 21*n**3 wrt j?\nAnswer: 61181330*n**3 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 43 = 6*a - a, 2*t - 4*a - 26 = 0. Suppose -66 = 5*x - 5*d + 19, x + 19 = -d. Let w = -13 - x. Solve -t = 5*l + 5*b - 32, -4*b = w*l - 21 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/22)\/(106\/62). Let m = w + 1\/53. Find the common denominator of (-3)\/(-15) + 254265\/(-175950) and m.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7*j. Let l(w) = 291953*w**2 + 2*w + 32. What is l(d(c))?\nAnswer: 14305697*c**2 - 14*c + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 175, 286, 397, 508?\n\"Answer: 111*m + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, n: 7, b: 1}. Give prob of picking 2 n.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxccclccqccuyyc. Give prob of sequence lq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9035*g - 44 - 9039*g + 18076*g - 38.\nAnswer: 2*g - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, n: 3, i: 1, b: 3, r: 1, w: 6}. Give prob of picking 2 o and 2 w.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -452, -179, 582, 2077, 4552, 8253, 13426?\n\"Answer: 41*q**3 - 2*q**2 - 8*q - 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.035 times 92.1?\nAnswer: -3.2235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 33, 45, 57, 69?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23085*x + 45955*x - 22869*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 5\/6*r**5 + 0*r + 1\/6*r**4 + 0*r**2 + 2\/3*r**3.\nAnswer: -r**3*(r - 1)*(5*r + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**4 + f + 1. Let z(c) = 38*c**5 - 3*c**4 - 289*c**2 - c - 1. Let g(h) = k(h) + z(h). Find the third derivative of g(m) wrt m.\nAnswer: 2280*m**2 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12101 - -2?\nAnswer: -12033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 4*x**2 - x + 4. Let h(j) = -2*j**3 + 9*j**2 + 2*j - 9. Let p(l) = 15*a(l) + 6*h(l). Factor p(r).\nAnswer: 3*(r - 2)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -22*g + 810. Calculate the remainder when 58 is divided by g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 u when three letters picked without replacement from uuuuuhhu?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 - 37. Let u(g) = -g**3 + 5*g**2 + g - 5. Let v be u(4). Suppose 2*b - 10 + 1 = -m, 0 = -5*b - 4*m + v. What is the remainder when q is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2314650 and 806?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a hour in minutes?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 22418*t**2 - 24796*t**2 + 2 + 2375*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177 (base 13) to base 7.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6 + (-33)\/45. What is the closest to q in 4\/9, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3720 - -3747. Calculate the highest common divisor of 4 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526 is divided by 520?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*g + 21. Suppose -6*i - 13 - 11 = 0. Let q be (-49)\/14*i\/g. Solve -q*w = 2*w + 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 6:11 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2572 greater than or equal to 2572?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/9*l**3 + 0*l + 7\/9*l**4 - 16\/9*l**2 + 0 + 1\/9*l**5.\nAnswer: l**2*(l - 1)*(l + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/12)\/(((-5)\/3)\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*z - 315*z = 9762 + 18942 for z.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzvzzz. Give prob of picking 1 v and 2 z.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-1*((-95)\/(-45) - 2)). Let b = 49 - k. What are the prime factors of b?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/2)\/((-4)\/32*-8). Let q = 4 + r. Solve 1 = d + 4, 3*b + 3*d + q = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -360 - -533. What is the remainder when w is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at least 1.31151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 894877478?\nAnswer: 2, 11, 4363, 9323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 5)*((-2 + 3 + 0)*(-7 - 1 + 1) - 18 + 37 + 0)*(6*f + 1 - 1).\nAnswer: 72*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -2, 13\/2517?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/6105 and 31\/176268.\nAnswer: 9694740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - 106. Let m = -124.999715 - t. Round m to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 1164*f**3 + 3*f**2 - f - 1. Let a(z) = 4*z - 63. Let l be a(16). Is v(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-39))\/(111\/962)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 627 and 6479?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2054*q - 63*q = 163*q - 76776 for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 60*r - 207. Let g be y(4). Suppose -g*h - 4*h = -7548. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4 + 5 + -8 - -2123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*l - 67*l = 435 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 20*s = 104, 5*s = -3*q + 16*q - 10*q + 19 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**4\/11 + 26*a**3\/11 + 60*a**2\/11 - 8*a\/11 - 80\/11 = 0. Calculate a.\nAnswer: -10, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 7:08 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from {k: 8, g: 1, c: 10}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1201*g**4*u - 187*g**2*u - 3*g**2 + u + 2 wrt g?\nAnswer: 28824*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1564483 - 9?\nAnswer: 1564475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*c = 55*c + 775. What are the prime factors of c?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1655 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 4*l + 93 = -19, 23*a - 5*l - 125 - 15 = 30*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m**3 + 14*m**2 - 3*m - 3. Let c(w) = -13*w**3 - 29*w**2 + 5*w + 5. Let n(t) = -3*c(t) - 5*j(t). What is the third derivative of n(g) wrt g?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 19*r - 10*r = 0. Solve -31*n + r = -93 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6*g + 8 = a, -3*a = -g. Sort -106, a, 5 in decreasing order.\nAnswer: 5, a, -106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 - 27. Let h = a - 28. What is the nearest to -2\/3 in h, 5\/6, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*((-2*(sqrt(605)*-3 + sqrt(605)) - (sqrt(605) + ((sqrt(605) + -2)*-5 - sqrt(605)))) + -3 + 1) + 3)**2.\nAnswer: -60390*sqrt(5) + 1228846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 11:21 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -96.1 - -96. Let a = 173\/1190 + 18\/85. Which is bigger: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 0.1 (b) -1\/4 (c) 1\/3 (d) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353*x - 197*x - 34*x - 189*x.\nAnswer: -773*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v + 79. Let s be n(-29). Let p be (1\/4)\/(2\/s). Put p, 0, 4, -2 in increasing order.\nAnswer: -2, p, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 38940, 38941, 38942, 38943?\n\"Answer: r + 38939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 50 = -g. Let r(s) = s**2 - 12*s + 23. What are the prime factors of r(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 4)*(-1 - 2). Suppose 0 = -4*m + 16, -2*v + 1 = t*m - 23. Let s be 0\/((-6)\/(v\/2)). Solve s - 3 = 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 28 = -4*a. Suppose 0 = -w + a + 12. Suppose -4*x - 86 - w = -2*i, 0 = -4*i - 5*x + 230. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146618 divided by -2.\nAnswer: 73309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -2, -4, -15 in decreasing order.\nAnswer: 5, 4, -2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -39, -37, -43, -63, -103, -169, -267, -403?\n\"Answer: -z**3 + 2*z**2 + 3*z - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467 is divided by 59.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cj when two letters picked without replacement from ucjtutjjjtjtjj?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89002 = -16*k + 88762 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1649177 or 1649169?\nAnswer: 1649169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31457 - 19621. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*(-2 + sqrt(2)).\nAnswer: -12 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen fifths of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 10*s - 7. Let h(c) = -10*c + 3. Let o(v) = -v. Let w(m) = -h(m) + 6*o(m). Let y be w(2). What is the remainder when g(y) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/540 or 54.22?\nAnswer: 54.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13610 = -12*w + 22*w. Let f = -6262 - -9413. Let h = f + w. What is h rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -13. Solve -4*h + o*w = 3*w + 9, 4*w - 16 = 4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, v: 18}. What is prob of sequence vd?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or -28\/4187?\nAnswer: -28\/4187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 4:55 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-7)*((-61250)\/25)\/(-35).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(18\/11)\/b)\/(b**8*b)*b**(-13)*b\/b**18*b)**6 assuming b is positive.\nAnswer: b**(-2466\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 32 - 2) + 1. Let s = -29 - c. Solve s*r - n = -8, -n + 4 = -2*r + n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-18 - -7) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 11, -7, 2 in descending order.\nAnswer: 11, 2, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + 2)*-2*-5*-5)**2 - (-1 + -5*(sqrt(396) + -3)**2*-5).\nAnswer: 60900*sqrt(11) + 989876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2611*y. Let o(d) be the third derivative of -d**5\/60 + 244*d**2 - d. Give o(h(s)).\nAnswer: -6817321*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 23. Let c be (-1)\/(6\/o - -1). Suppose 27 = -2*a + 5*a. Solve -n - c*n = -a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/(-3) - 2\/3. Let n be (15 + (0 - (-1 - 4)))*19. Suppose 2*b = -4*u + 304, u + n = r*u - 4*b. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 85225409?\nAnswer: 2\/85225409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 360\/7*b**2 + 0*b + 2\/7*b**4 + 18*b**3 + 0 = 0.\nAnswer: -60, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-21)\/(-12) - (-468)\/(-48).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -f**3\/3 + 4. Let w be (-20)\/(-9) - (-4)\/(-18). Let m(c) = 4 + w*c - 4. Give m(p(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 7:58 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 144 + -112. Suppose 4*z + t - 3*t - 8 = 0, 0 = -3*z - 5*t + g. Which is the biggest value? (a) -3 (b) 2\/5 (c) 1\/10 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + j + 15. Let x(u) = 1 - j + 3 - u**2 + 5*u. Suppose -10 = 4*z - 26. Calculate x(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 22 + (0 - (-3 + 8 - 21)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 96 = 3*m. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -932 + -754?\nAnswer: -1586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/52*13*(-17)\/(459\/(-24)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 12*c - 8 + 18)*(1 - 1 + c**2).\nAnswer: -12*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjj when three letters picked without replacement from jjjjjtjjjjjj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*w**3 + 783*w - 272 wrt w?\nAnswer: -6*w**2 + 783","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -63, -101, -89, -21, 109, 307, 579, 931?\n\"Answer: n**3 + 19*n**2 - 102*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-8) + (-3)\/30. Let d = -61 - -673\/11. Which is the nearest to v? (a) -4\/3 (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 g when four letters picked without replacement from ggzvvvzvvggzvzz.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -10. Let c(o) = -o + 3. Let j be c(a). Differentiate j + 0 - 5*w**4 - w**4 + 4*w**4 wrt w.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 484\/77 - (1*(-1 - 1) - -8).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 6*p + 7. Let m be b(-6). Suppose m*w = 876 - 176. Suppose -w + 339 = l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 4, -696\/869 in increasing order.\nAnswer: -696\/869, -3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*c**2 - 11360*c + 471335 = 0. Calculate c.\nAnswer: 881\/13, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -488*x + 1480. Suppose 180 = 3*n - 0*n + o, -n + 64 = -o. What is the remainder when n is divided by a(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -448*x + 136*x + 4362696. What is the remainder when x is divided by 197?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4637 - -7893. Is g a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 14*m + 42*m + 186*m - 25*m as l + w*m and give w.\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 9*r**2 + 8*r + 4. Let q be l(-8). Find the second derivative of 3*a**q + 0*a - 4*a**4 - 5*a wrt a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 363191904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**4*n - 258*j**4 - 3*j**3*n - 2*j**2*n - j*n - 325*n wrt j.\nAnswer: -72*j*n - 6192*j - 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49 - 12*p**2 + 49 + (-3*p**2 + 0*p**2 + 5*p**2)*(0 + 3 - 1) + 5*p**2 - p**2 - 2*p**2 + (6*p - 3*p + 2*p)*(26 - 26 - 5*p).\nAnswer: -31*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32612\/11 - 5937\/2. What is the common denominator of z and -101\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i - 4*i + 0*i + (-6*i + 7*i + 24*i)*(6 - 2 - 2 - 4 - 1 + 3 + (-2 + 2 + 2)*(-3 - 1 + 3)).\nAnswer: -53*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 8*h**2 - 8*h + 7. Let t be u(7). Let x be 3\/(-6)*(t - 2). Let y = 37\/3 - 13. What is the closest to y in -1\/3, x, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -261\/65 at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-2 - -5) - 2)*-2. Suppose -26*j**2 + 6*j**r - 13*j**2 - 13*j + 20*j - 63*j - 4*j**3 - 12 = 0. Calculate j.\nAnswer: -6, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -21*p + 987. Give m(49).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000100111100 - -11010111010100?\nAnswer: 110011100010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*d + 60, f + 19 = 4*f + d - 8*d + 6*d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2250 and 630.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3)*15\/(-35). Which is the nearest to i? (a) 0.2 (b) -63 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.03223094 and -65?\nAnswer: 65.03223094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h - 38*h - 4*h)*(0 - 2 + 0)*(-2*h + 2*h + h).\nAnswer: 70*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -76*j + 12. Let d(r) = 38*r - 5. Give 7*d(q) + 3*w(q).\nAnswer: 38*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 67 (b) 2\/3 (c) 0.2 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 51647822 - 0?\nAnswer: 51647822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 147710797189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) 2 (b) 0.3 (c) -3\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1739, 0.5, 1, -3, -16, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -89*m. Let a(i) = -16*i**2 + 6. What is r(a(v))?\nAnswer: 1424*v**2 - 534","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7227)\/(-511) - 8\/7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 10, 0*p = -2*p - 3*k - 264. Let m be (p\/12)\/9*4. Let d = -286 - -2004\/7. Which is the nearest to d? (a) m (b) 2\/5 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 3*k**2 + 2*k - 1. Let m be v(-2). Let p = m + 22. Let r be (-504)\/(-30)*3105\/276. What is the highest common divisor of p and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*18\/(-150)*5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5999680)\/(-210) + (-12)\/(-126). Round r to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 541 + 1541 = 0. What is the highest common divisor of t and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -100937 (b) -3 (c) 0.2 (d) 4 (e) 6\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 41375.4 to the nearest 1000.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1107 and 3618.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*q = -76, -21 = -4*u - 3*q + 20. Let x = 64742\/33 - 11795\/6. Find the common denominator of x and ((-606)\/u*(-28)\/8)\/27.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4621 greater than -4618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 10:14 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26206853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -720*i + 720*i + 0 + 0 - 55*i**2 to the form w*i**2 + z + l*i and give w.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-5 - 5 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 5)*(33 - 27 + 79)*(4*d + 2*d - 4*d)*(2 + 0 - 10).\nAnswer: -4080*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 + 367*k**2 - 1951*k - 1244. Determine j(178).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*n = 0, -5 = -5*p - 3*n - 1. Let j(y) = -y - 2. Let b be j(p). Let f(s) = -s + 2. What is f(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -90, -152, -248, -384?\nAnswer: -566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 3, -5\/2, 3\/7, 190, -37, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -57, -85?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 317131052?\nAnswer: 317131055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 569 and 11830648.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fjjiijfjffjfj?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 5*w + 17, -2*r - r - 5*w - 37 = 0. Suppose -d + 5 = -2*d. Sort d, r, 1 in decreasing order.\nAnswer: 1, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*13274.\nAnswer: 39822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-10))\/(6\/(-15)). Let n be 18\/(-24) - (-3)\/4. Sort n, g, -4.\nAnswer: -4, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-12)*-8*(-19)\/(-1330)\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -145\/4? (a) -9\/4 (b) -9 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**3 + 2*c + 3\/2*c**2 + 0. What are the prime factors of g(-3)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (1 - (15 - -3 - 10)) + (0 - -10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 5*q = -22, 2*a + 3 + 1 = 2*q for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (212\/212)\/(0 - (-2)\/38)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41.6 + 7.6. Let k = 75 + y. Let o = -41.00017 + k. Round o to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2657 + 2657 - 210*k**3.\nAnswer: -210*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - (5 - (-117)\/91). Put -248, r, -2\/15 in descending order.\nAnswer: -2\/15, r, -248","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/8 of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 37923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1035385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 451 - -4?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**6\/5 + p**5\/20 + 5*p**4\/8 + 4*p**3\/3 + 31*p**2 - 2. Is u(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142686 is divided by 70887.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 3.3. Let a be ((-5)\/70)\/((-2)\/(-4)). Sort o, 2, a in decreasing order.\nAnswer: 2, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2655966 or -2655856?\nAnswer: -2655856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 88511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*n**3 + 0 + 1 + 91*n**2 - 36*n**2 - 53*n**2 + 1 to j*n + h + o*n**3 + s*n**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**32*j*j\/(j**(-10)*j)*j assuming j is positive.\nAnswer: j**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2a26 (base 16) to base 7\nAnswer: -43313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, d: 12}. Give prob of picking 3 d.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5322 + -1544. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.43475 + -0.36475. Let b be ((-2)\/10)\/(2\/(-6)). Put a, b, 4 in increasing order.\nAnswer: a, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 9 + 3 = 3*m, 9 = -3*z. Let j be 2\/4 + m\/(-6). Solve j = -3*l + 4*o + 17, -4*o - 6 = 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41\/(656\/304) - 289\/15.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 117*g - 24. Let m(w) = -3*w + 12. Let v be m(0). Let z(o) = 47*o - 10. Let l(y) = v*z(y) - 5*a(y). Let x(j) = 6*j**2. Calculate l(x(q)).\nAnswer: -126*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110311977.\nAnswer: 3, 36770659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 8*s + 4. Let f be u(6). Let n = 14 - f. Let t(a) = 2*a**2 - a - 2. Give t(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/435049 in 0, -7\/111, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 10*m + 3. Let x be -1 - -2 - 20\/2. Does 6 divide b(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*m + (-1 + 1 + 1)*(-2*m - 3*m - m) + 0*m + 2*m - 3*m + 3*m - 4*m + 0*m + (-2 - 1 + 4)*(-10*m + 8*m - 26*m).\nAnswer: -38*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 664*d**2 + 108884*d + 446224.\nAnswer: (d - 334)**2*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27472853\/16 + 1716471. Let k = -582 - o. Let s = -27485\/14 + 1958. Calculate the common denominator of s and k.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/12)\/(18\/60*4\/36). Let a(u) = 7 - u + 3*u + 6*u**2 + 7*u. Let g(l) = -l**2 - l - 1. What is m*g(j) + a(j)?\nAnswer: j**2 + 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -622 != -1243\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000420452 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81499?\nAnswer: 11, 31, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**3\/6 + y**2 + 23*y + 7. Let c(h) be the first derivative of s(h). Calculate c(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 4*o + 26. Give t(6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y - 12*y**2 - 12*y - 3*y + 2 - y**3 - 11. Let u be r(-11). Is u greater than or equal to 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -209\/9 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 5:49 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -622 - -656. Suppose -w = -c - 8, -3*w + 2*w - 2 = c. Suppose -38 = -w*a + x. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.4885.\nAnswer: -0.0977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 9907*r - 4973309. Determine n(502).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 2*f - 5*m, 4*m - 51 = 9*m - 26 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*y**2 - 493*y**2 + 0 - 2 - 3 + 43*y**2 to i + w*y + c*y**2 and give c.\nAnswer: -513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 49.56261 centuries?\nAnswer: 495.6261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 + (-47 - -64 - 20) + 44.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence syb when three letters picked without replacement from syshyhshhhyhyssssbs.\nAnswer: 16\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 + 5*d - 5. Let l(j) = -j**2 + 2*j - 2. Let r = -14 - -35. Suppose 0 = -5*w - 1 + r. Let g(f) = w*b(f) - 10*l(f). Factor g(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 3 - 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**4\/4 - 7*v**3\/3 - 5*v**2\/2 + 5*v + 1. Suppose h - 5*h - 24 = 0. Let b be g(h). Is b >= 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f - 6*f - 14*f + (-155*f - 14*f + 39*f)*(1 + 1 + 0) + 0 + 2*f + 0 in the form s + z*f and give z.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -6219 greater than or equal to -5742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -378.7188447 take away -43?\nAnswer: -335.7188447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -46, 0, -0.249, -325?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-288*x**3 + 23*x**2 + 3*x**4 + 547*x**3 - 299*x**3)*(-1 + 1 - 2)*(3 + 1 - 3).\nAnswer: -6*x**4 + 80*x**3 - 46*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (37*c + 4*c + 12*c)*(3*c - c**2 - 3*c) + (-c**2 + 3*c**2 - 3*c**2)*(c + 3*c - 3*c) as w*c + d + f*c**2 + p*c**3 and give p.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13971.0046116 - -13971. Round m to four decimal places.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.51 - -0.43. Let s = v - 0.22. Sort s, -4, 8, 0.4 in increasing order.\nAnswer: -4, s, 0.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/6)\/(b**12*b))\/(b**(3\/4)\/(((b**(-4)*b)\/b)\/b)) assuming b is positive.\nAnswer: b**(-227\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**5\/40 - b**3\/3 + 4*b**2. Let f(a) be the first derivative of i(a). Let l(g) = -2*g**2. Calculate f(l(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -11. Let p(y) = r + y**2 + 0*y**2 - 3*y - 4*y. Let g(a) = 5*a**3 + a**2 - 28*a + 26. Let i be g(1). What is p(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65682419?\nAnswer: 11, 29, 109, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 291*n*s**2*x - 24250*n*s**2 - 100783*n*t - s**2*t - 10*t*x wrt t.\nAnswer: -100783*n - s**2 - 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + 0 + 1*sqrt(11) + -4 + sqrt(33)\/(sqrt(12)\/(sqrt(12)\/sqrt(3))).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1815*m - 42*m**5 + 3619*m - 1807*m - 18*m**2 wrt m?\nAnswer: -2520*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**3 - 4*i**2 + 3*i - i**3 - 2 + 0. Let g be l(2). Suppose 0 = g*d - 3*d - 8. What is the smallest common multiple of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 + 67. Suppose p*y + 3 - 19 = 0. What is the second derivative of -y*s**3 + 42*s - 19*s - 11*s**3 wrt s?\nAnswer: -78*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*y + 270*y + 126*y + 37525 + 6650 = 0 for y.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -231*w - 1253*w - 666 - 1603 - 684*w wrt w.\nAnswer: -2168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 54*f**2 - f. Calculate the remainder when m(1) is divided by 4\/(-3)*189\/(-14).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aajjjaa.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 115\/(-23) - (-1 - 6). Let r(n) be the second derivative of 1\/21*n**3 - 2*n + 0*n**p + 0 + 1\/42*n**4. Let r(a) = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 0 - 4\/3*s**3 + 7*s**2 + 1\/6*s**4 - 1\/120*s**6 + 0*s - 1\/12*s**5. What is the least common multiple of y(-6) and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32588 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-54)\/(-30))\/(7\/((-175)\/(-15))). Let g(c) = -c**2 + 5*c - 1. Let o be g(4). Solve -m*v**2 + o*v + v**2 - v - 4*v = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 z when two letters picked without replacement from zzkukkkdzzkp.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y + 15. Let v be g(-6). Suppose -v*c - t = -32, 0*c = -3*c - 5*t + 40. Let q be 2\/(-10) + 22\/c. Solve -r - q + 1 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l**2 - 987*l - 2449. What is n(-243)?\nAnswer: 1196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*k + 133*k + 154*k + 168 = 0 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28448 is divided by 28439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*x + 301*x + 80*x.\nAnswer: 397*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000315 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 331133 - 324828.14. Let p = 6356 - r. Round p to the nearest integer.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.13 + -0.05. Let w = 0.08 + y. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d + 12. Let n be z(-5). What is the third derivative of -40*v**6 - 31*v**n - 21*v**6 + 25*v**6 wrt v?\nAnswer: -4320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 4*s + 8. Let h be a(2). Suppose 0 = h*l - 6*l. Solve -3*n - 5*w + 14 = 0, l*n + 5*w = 2*n + 24 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65548 to the power of 1\/2, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((-22)\/(-16) + -1). Let m(c) = 6*c**2 + 2*c - 2. Let t(q) be the first derivative of q**3\/3 - 18. Calculate w*t(j) - m(j).\nAnswer: 2*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 137*l**3 + 49 wrt l?\nAnswer: 411*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 11*k**3 - k**2 - 3*k - 21. Is d(8) a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzszrzssrbzsbsis. Give prob of sequence sisr.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2555144 divided by 62?\nAnswer: 41212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2 (c) -22778.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -114 + 122. Suppose -16 + 0 = -q*r. Solve 12 = 5*l + 3*v, -l - v = r*v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27 + 27 + 2*r)*(2*r + r - r) + 9*r + 4*r**2 - 8*r - 5*r**2 as s*r + n + y*r**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 423664?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/34361 or 82\/127?\nAnswer: -2\/34361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - c - 18. Suppose 3*m = 14*z - 40, 0 = 19*m - 16*m - 5*z + 22. Put 5, m, 3, c in increasing order.\nAnswer: c, m, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 0 - 3\/2*j**2 + 4*j - 1\/3*j**3. Let k(s) = 1. Let f(n) = 1. Let i(v) = 4*f(v) - 5*k(v). Calculate a(l) - 2*i(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 7*o - 30*o + 5*o**2 + 11*o + 6*o. Give h(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6923190?\nAnswer: 2, 3, 5, 230773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53.2 + 60.29199.\nAnswer: 113.49199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 71 = -4*v + 2*t, 3*t + 135 = 5*v. Calculate the remainder when v is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-8))\/(6\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 11*z**2 + 4*z + 11. Let v be o(-9). Suppose 4*u - v = -17. Let c be (2\/6)\/((-10)\/u). Which is bigger: 6\/25 or c?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.64 + 25.71. Let s = -13 + t. Round s to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3)*(540\/65)\/(-6)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 minus -5406126.82?\nAnswer: 5406125.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**43*y**(-42))\/(y**(11\/5))**39 assuming y is positive.\nAnswer: y**(-424\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a week in minutes?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 27, -145572 in descending order.\nAnswer: 27, -1, -145572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -920160*v + 20448. Let m(n) = -5751*n + 128. Let s(i) = 4*g(i) - 639*m(i). Let u(w) = -w. Determine s(u(a)).\nAnswer: 5751*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 17 = 4*q, -a + 5 = -0. Is 14 a factor of ((-9)\/4)\/(q\/(-56))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -121*r - 115. Let t(b) = -24*b - 23. Let j(p) = -2*d(p) + 11*t(p). What is the tens digit of j(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 1. Let q = d - 6.1. Which is the closest to 2\/7? (a) 2 (b) -0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401296425 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/240*-42 - 10\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1346, 18, -2.\nAnswer: -2, 18, 1346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 4*f**2 - f + 7. Let b be j(-4). What is the highest common factor of b and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21733 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.3417 to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 810 - 4411 - 2292 = -81*j + 10*j for j.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/10)\/((-21)\/(-28)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**4 + 369564*y**3 + 11326264266*y**2 - 3399880517748*y + 253903826657547 = 0?\nAnswer: -61743, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4696 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*g**4*n + 3*g**4 - 115*g**3*n - 3*g**3 - 2*g**2 - 18897*n - 1 wrt g.\nAnswer: -192*g*n + 72*g - 690*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 + -20. Let r be 4 - ((-7 - -6) + m). Sort -5, r, -2 in descending order.\nAnswer: -2, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2007*i + 1969. Give a(1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 150 - 78. Find the common denominator of 49\/40 and (116\/p - -1) + 1.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2114114 + 311412?\nAnswer: 2431031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 323189179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + w - 2. Suppose 0 = 2*u - 4*u - 4, 5*z = -u + 13. Let v(m) = -7 + 8*m**2 + 5*m**2 - z*m - 12*m**2. Let y be v(4). Calculate d(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38105 is divided by 422.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76352*m**2*n**3 - 44*m**2*n + 1092*m*n**2 wrt n?\nAnswer: -458112*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6015000 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3037*n - 1489*n - 1517*n. Let s(d) = -81*d**2. What is s(c(a))?\nAnswer: -77841*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kooookoo. What is prob of picking 4 o?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9}. What is prob of sequence dddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5243 is divided by 520?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o + o + 2*o)*(2*o + 6*o - 2*o)*(3 - 1 + 0) + (-6 - 11*o + 6)*(3*o - o + 0*o) in the form b*o**2 + g + t*o and give b.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(2\/9)\/(8\/(-12)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 1110*h**2 + 3*h - 4. Let c be v(3). Suppose -k = -994 + c. Let o be (k + 1)\/((-9)\/(-3000)). Round o to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmxm when four letters picked without replacement from {g: 2, m: 2, j: 1, x: 1, z: 1, o: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -154, -157, -160?\n\"Answer: -3*w - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -3\/4, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3320*f - 99168 = 812*f for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1405, 2946, 4583, 6316, 8145, 10070?\nAnswer: 12091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 27*j**2 - 11 - 10*j**3 - 3*j**3 - 5*j**3 - 30*j - 2*j**3 + 21*j**3. Calculate the remainder when 132 is divided by i(-28).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2547*k + 71923 = -43830 - 57443 for k.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 537210\/13 and 41323 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19.16 + -19. Let g = -0.06 + d. Are g and -11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-19\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 43 in descending order.\nAnswer: 43, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10437?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/9 (b) 0.1 (c) 2\/5 (d) -2\/5 (e) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 271*q**2 - 9948*q + 4 - 272*q**2 + 9948*q.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-6)*(23 - 65). Solve 30*b + n = -62 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v - 5. Suppose 0 = -2*s + 56*s - 3*s + 204. Let y(a) = 2*a + 5. Give s*x(u) - 3*y(u).\nAnswer: 2*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lgg when three letters picked without replacement from {l: 1, g: 8, o: 6, s: 3}.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -14.0000165. Round s to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 6*k - 2. Let n be q(7). Find the second derivative of -m**5 - m**5 - m**5 + 7*m - 4*m**n wrt m.\nAnswer: -140*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -10b1c3?\nAnswer: 10b1c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + -2)*2\/(-6). Suppose j + 5*f = 13, 2*j - 4*f = -0 - z. Suppose -4*u = 5*a - 20, j*a = -4*u + 3*u + 12. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 5*n**2 - 4*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 39*l - 34*l - 170941, 0 = l + w - 34193. Is l a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + (3 - -10))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 1250047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*j**6 + 6*j**5 - 1400*j**4 + 2040505*j**2 wrt j?\nAnswer: 1080*j**3 + 360*j**2 - 33600*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10421708*y - 10421940*y = -13920 for y.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -291, -582, -865, -1134, -1383, -1606, -1797, -1950?\nAnswer: -2059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k**2 + 104720*k + 2741569600 = 0. Calculate k.\nAnswer: -52360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3169995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**3\/3 - 2*u**2 - 3*u + 3. Let f be w(-3). Let h = f - 5. Calculate the remainder when 37 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1061684791 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 852982 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*k - 28*k + 26 = -44 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1324, -1279, -1206, -1105?\nAnswer: -976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2329 + -1463. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-88)\/234 + (-22)\/(-143). Let t = 1.2 - 2.1. Let k = 1.9 + t. Which is the nearest to k? (a) -2 (b) v (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 465 - 36 = 0. What is the remainder when 193 is divided by t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1363950222?\nAnswer: 2, 3, 17, 67, 199583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102226358.\nAnswer: 2, 13, 3931783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**2 - 14*w + 2. Let u(n) = -3*n**2 - 15*n + 3. Let o(b) = -3*u(b) + 2*x(b). Calculate the lowest common multiple of o(-6) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (1 + 6) - (-17 + 15)) + -11?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -318 - -303. Suppose 47 = -5*t + 4*z, 4*t - 3*z + 37 = -0*t. Let l = t - u. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-4*(5 + (sqrt(2299) + sqrt(2299) + 1 + 5 - sqrt(2299) - -4*(sqrt(2299) - sqrt(2299)*-2))))**2)*-5.\nAnswer: -31092175 - 251680*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2332283*z**4 - 4681090?\nAnswer: 9329132*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/10970 and 101\/16?\nAnswer: 87760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16301, -65203, -146705, -260807, -407509, -586811, -798713?\nAnswer: -1043215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 801 is divided by 40?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 9*m**2 + 10*m - 4. Let u be z(8). Let i = -3 + u. Solve -i - 11 = -5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 23. Let n be u(26). Determine p, given that 1\/7*p**5 + 2\/7 - 4\/7*p**2 + 1\/7*p + 2\/7*p**4 - 2\/7*p**n = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**4 + p**3 - 1. Let f(n) = 28*n**4 + 9*n**3 - n - 11. Let i(d) = -2*f(d) + 18*h(d). Find the second derivative of i(k) wrt k.\nAnswer: -456*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.072 minus 222.905133?\nAnswer: -140.833133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rly when three letters picked without replacement from {y: 2, l: 2, w: 1, r: 8, b: 1}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5553.8 - 5553.55. Suppose 5*b = -5*w - 35, -3*w - 4 = b + 9. What is the nearest to o in w, -1\/3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 (base 9) in base 5?\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 238170 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 177 (b) 0 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 386113 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46 and 6.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6\/7, 10, -0.5, -0.1, 7, 1\/9 in decreasing order.\nAnswer: 10, 7, 6\/7, 1\/9, 0, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 20 = -75. Solve 3*w = r - 13, -r - 5*w - a = -0*w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**4 + y**4 + 6*y**4 + (52*y + 9*y**3 - 52*y)*(107 + 6*y - 107) in the form b*y**2 + w*y**3 + m*y**4 + h + a*y and give m.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(396) + sqrt(11).\nAnswer: 4 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/189*7*(-66)\/22?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**31*z*z)**(5\/6) assuming z is positive.\nAnswer: z**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**3 - 55005*y**2 + 154390695*y - 17035093175 = 0. Calculate y.\nAnswer: 115, 5443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 7, -0.067, -4\/17, 6, 1\/17?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -1, 3, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-8))\/((-6)\/(-2))*608\/(-76).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 280412?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -18*g - 436. Let r be s(-96). What is the greatest common divisor of r and 1700?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 40. Let c be y(16). Which is smaller: c or 25?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(39)\/sqrt(3)*-6)**2*-1.\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 7*c - 16. Give l(-2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 6) in base 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b + 0 + b + 5*b - b + 7*b**3 + 5 as a*b**2 + t*b + c + n*b**3 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 1923*s + 3849. Let i be c(-2). Suppose 2\/5*u**i - 38\/5*u - 4 - 16\/5*u**2 = 0. Calculate u.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -375.5 + 396. Let g = 20.49999134 - q. Round g to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1801 + -1312. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 171398 - 10 - (0 - -2). Let c be (-244904 + 3)*(0 - -14). Let i = w - c. What is i rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 21 = -8*f + 3*f, 3 = 4*f + 3*h. Suppose -4*j + 35 = -b, 2*j = f*j - 2*b. Let q(x) = 23*x + 418. Let s be q(-18). Solve -g - s*g = -j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.3, -0.6, 0.4, 2\/13, 35?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 14*y**2 + 6. Let r be z(0). Solve 9*u = r*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*n + 20, -5*i - n + 26 = -4*n. Let s = 3 + 2. Which is the biggest value? (a) i (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136589031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4973a4 + 7?\nAnswer: -49739c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 n when four letters picked without replacement from oann.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -11*q**3 - 3*q**2 - 632*q - 3. Let f(k) = 15*k**3 + 3*k**2 + 630*k + 4. Determine -3*f(n) - 4*h(n).\nAnswer: -n**3 + 3*n**2 + 638*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/6, 155, 2\/19, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24284812 and 3021?\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10675865 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 250287 = 8*f. Let j = f + 30287. Round j to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-2)\/(-6)))\/(((-21)\/28)\/(3113\/(-1132)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/((-3)\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 644390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 4*n**2 - n + 4. Let v be y(4). Suppose -38*x - 4*d = -36*x - 268, -d + 135 = x. Let c = v - x. Let k(i) = -i - 12. Determine k(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 33 = 3*l - b + 29, -6*l + 3*b - 12 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 236 - 238. List the prime factors of 1 + (b - -788)\/6.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*w + 14. Let m(s) = 9*s**3 + 7*s**2 + 7*s - 8. Let j(o) = 8*o**3 + 6*o**2 + 6*o - 7. Let l be (-9)\/(-4)*(-8)\/3. Give l*m(a) + w*j(a).\nAnswer: 2*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 9:41 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2 = 22. Suppose d*p = 7 + 1. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 3439752?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*sqrt(44)\/sqrt(4)*3.\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 12:03 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**2. Let m(u) be the third derivative of -5*u**4\/24 + 26*u**2. What is m(h(t))?\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 - 4*z + 4*z + (1 + 4 - 2)*(-3*z**3 - 9*z + 9*z) to q + r*z**3 + c*z**2 + y*z and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 21*o = -30*o + 848 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 1. Suppose -1590 = -5*b - 1610. Let q(y) = -y**2 - 4. Determine b*t(g) - q(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**2 - 11*m**2 + 9*m**2.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 50.2 and -1381172.4125.\nAnswer: -1381122.2125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3)\/j**(-2\/9)*((j*j**(4\/7))\/j)\/(j\/(j**(2\/11)*j))*j*j**(-2\/21)*j**(4\/7)*j\/((j\/(j\/j**2))\/j)*j*j**(-1\/4)\/j*j*j assuming j is positive.\nAnswer: j**(3331\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4747, -9517, -14287, -19057, -23827?\n\"Answer: -4770*f + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170444165?\nAnswer: 5, 29, 809, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4467 rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -331, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/(b**(-4)\/b)*b)\/b)\/(b**4*b*b)*b*b**(-4)*b**6)**(1\/11) assuming b is positive.\nAnswer: b**(4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-137358)\/143815)\/(3\/(-28))*(-15)\/12.\nAnswer: -78\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*r - 41 = 10*r + 247 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 7:17 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 9657 = -0*o. Let w = o - 29219. What is w rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100*7*(-534)\/(-105) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 - -187231677?\nAnswer: 187231576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -51, -50?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 3*n + 1038875, 2*n = -2*z + 610633 + 428245. Let r be 276894\/z - (-4)\/14. Let u = -2\/3373 + r. What is the common denominator of 11\/6 and u?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25332 + 25336. What is the second biggest value in 0, -91, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 129388.6.\nAnswer: 129390.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.0448788 - -2.063698607. Let s = 20.418946807 - l. Let p = s - 20.4. Round p to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-10 - -16) + 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 166 + -173. Let i(q) = 5*q - 3. Let d(c) = 3*c - 2. Determine r*d(j) + 4*i(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6802 + -6800. Let w = 3 + -2. Solve -v - w = -h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2532 is divided by 1234.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 + 285*r. Let i(d) = 210*d - 134*d - 78*d. Determine b(i(n)).\nAnswer: -8*n**2 - 570*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**5\/12 - r**4\/24 - 8*r**3\/3 - 26*r**2. Suppose 22 = 4*l + 2*i, -7*i = -4*l - 2*i + 29. What is the hundreds digit of f(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 9*c - 11. What is m(-4)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -1130.48125 and 48.\nAnswer: -1082.48125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136392 and 119343.\nAnswer: 954744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnxmxjxxjp. What is prob of sequence mnp?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13 + 20 - 8) + (0 - -6). Solve -84 + 89 = v*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/18*14\/28. Let k(q) be the third derivative of y*q**5 - 7\/120*q**6 + 7*q**2 + 0 + 0*q**3 + 0*q**4 + 0*q. Find the third derivative of k(r) wrt r.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 15, -1, 565, 47 in decreasing order.\nAnswer: 565, 47, 15, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1490*r = 9413*r + 768531 for r.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/(-4)*-2*(-11442)\/18?\nAnswer: 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, l: 2, y: 1, b: 11}. What is prob of picking 1 y and 2 b?\nAnswer: 11\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 2. Let v be (-1)\/(-3)*(-182 + 164). Let n(d) = 2*d - d - 1 + 0*d - 2*d. Give v*j(o) - 4*n(o).\nAnswer: -2*o - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**2 + 7*y - 2. Let r(w) be the second derivative of -3*w**4\/4 + 5*w**3\/2 - 5*w**2\/2 - w. Let g(f) = 7*n(f) - 3*r(f). Determine g(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 9 = 5*k, 2*j - 53 = -21*k + 27. Solve -3*z - 5*m = -j, 24*m = 3*z + 25*m + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -1671?\nAnswer: -1675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9428 is divided by 59.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**4 + 468586*s**3 - 5*s**2 - 3707162*s - 1.\nAnswer: 12*s**2 + 2811516*s - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 110*y**2 + 126*y**2 + 34*y**3 + 21*y**2 - 2*y**2 wrt y.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3020*n**3 + 1472*n**3 + 1478*n**3 - n)*((-1 + 4 + 2)*(4 - 4 + 2)*(-2 - 2 + 2) + (0 + 3 - 2)*(1 + 1 - 1)).\nAnswer: 1330*n**3 + 19*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t + 7*t = 1224. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -165*k + 2. Let i(q) = 80*q**2. What is i(v(d))?\nAnswer: 2178000*d**2 - 52800*d + 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 44*-11*5\/(-220). Which is smaller: l or 19\/2?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*w - 41 = 841 + 163 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 11 + (-17 - -9) - 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from czpkjzzkpbjpjzzcpz?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -8.4. Suppose -6 = -3*q + 2*n, 5*q = -0*n + 3*n + 9. What is the nearest to q in k, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-4) + 18\/8. Suppose -w*l + 2 = -0*t + t, 5*l - 5 = 5*t. Suppose 3 - l = 2*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**12\/h)**11 assuming h is positive.\nAnswer: h**121","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/27*3)\/((-5)\/6).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -38\/371, 11\/5, -0.05?\nAnswer: -38\/371","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005461780939 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 23, -0.0301, 1\/15?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75*w**3 + 385*w**2 + 45*w - 25.\nAnswer: 5*(w + 5)*(3*w + 1)*(5*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/3*7\/(-2). Let a be (-1 + (-2)\/4)*40\/(-15). Suppose a*s = -3 - b. Let z(o) = o**2 + 6*o - 1. Determine z(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -1383331*x**4\/24 + 7*x**3\/3 + 5*x**2. Let u be j(-6). What is u rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2396 <= -10048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8208 divided by -14.\nAnswer: 4104\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187217316, 187217314, 187217312?\nAnswer: 187217310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 159*r**4 - 115*r?\nAnswer: 1908*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 0*b + b + (-3 + 1 + 3)*(-b - 2*b + 2*b))*(-26 + 2 - 2)*((3 - 5 + 1)*(0 - 4 + 5) - 15 + 2 + 24).\nAnswer: -260*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 + -160. Is r less than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-5)*f**(-3\/4))\/(f**(-2\/3)\/f)**(-7\/11))\/(f*f**(-3\/4)*f**(5\/3))**(-1\/14) assuming f is positive.\nAnswer: f**(-4111\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2. Let l(w) = -839*w**2. What is l(y(j))?\nAnswer: -839*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/17*x - 2\/17*x**2 + 0.\nAnswer: -2*x*(x + 6)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57509138 is divided by 6154?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + g + 3*g + 66 = 0, -5*g = -5*l - 165. Let y = 197\/6 + l. Let x = -67 - -67. Which is smaller: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-10)*(7 - 2). Suppose -3*v + 3 = -s, -4*s - 3*v + w = 1. Sort 4, s, -3 in ascending order.\nAnswer: -3, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.779 + 2.279. Which is the closest to 0.1? (a) 1\/5 (b) w (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (42\/(-10))\/(5 - (-1582)\/(-315)). Suppose w*b = 198*b. Suppose -2\/3*t**2 + 4\/3*t**3 - 2\/3*t**4 + 0*t + b = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40178 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 - -58. Let r(o) = -8*o**3 + 16*o**2 - 2*o - 4. Let b(f) = 23*f**3 - 48*f**2 + 6*f + 12. Let g(a) = v*b(a) + 14*r(a). Find k such that g(k) = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**20*z*z*z*((z*z**(-27))\/z*z)\/z*z*(z**(-2\/57)*z)**(-9) assuming z is positive.\nAnswer: z**(-222\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -17086.59736 to zero decimal places.\nAnswer: -17087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l - 7. Determine x(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15313 - 87506*z**2 + 87508*z**2 - 3747.\nAnswer: 2*z**2 + 11566","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2070260 and 461040.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60544 and 25628?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 4. Let r = 4 + n. Calculate the remainder when 5 is divided by r\/6 + 16\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a - 581 = -401 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0219 and -9278.5?\nAnswer: 203.19915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/4)\/((-12)\/240). Suppose n - 4*s + q*s - 13 = 0, s = -3. Solve -u = -3*u - 2*c - 10, -5*u - 2*c - n = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(1 + sqrt(847)) - sqrt(847) - sqrt(847) - (2 + sqrt(847))*6) + (-6*2*sqrt(847) - sqrt(847)) + 4)**2 + 5.\nAnswer: 3080*sqrt(7) + 338854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3\/7 + 4680*i**2\/7 + 14054*i\/7 + 9372\/7 = 0. What is i?\nAnswer: -2, -1, 2343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -261707170\nAnswer: -104682868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -6 - (3 - 2)) + 6 + 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 10 = 4*q - 8*q + 2*b, -7*q = 3*b + 19 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = t - 2*a - 70, 133 = 2*t - a. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/17*c - 2\/17*c**2 - 8\/17.\nAnswer: -2*(c + 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 10, 4*b - 11 = 3*l + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, 20, 41?\n\"Answer: 21*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3212 = -13*r + 753. Calculate the remainder when r is divided by 78.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12983822 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 197*d**4 + 1353*d**3 - 7*d**2 + 14306197*d wrt d.\nAnswer: 2364*d**2 + 8118*d - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 106944024 a multiple of 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*b - 67*b = -2244 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4204*f**2*y**2 - f**2*y - 4*f**2 + 26*f*y**2 + 75*f wrt f?\nAnswer: -8408*y**2 - 2*y - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h - 12*h - 7*h)*(-5*h**4 - h**4 + 5*h**4) + (h**2 + 3*h**2 - 3*h**2)*(-h**3 - 4 + 4) + 2*h**5 + 3*h**5 - 6*h**5 - 5*h**5 - h**5 - 14*h**5.\nAnswer: -10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.65 and -0.13.\nAnswer: 0.0845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/6 - 4\/(-12). Suppose g = y*g. Suppose 2*p + g*p = 0. Solve 5*r + 5*d - 15 = 0, 0 = r - p*r - 2*d + 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**2 + 7*w. Let n(d) = -d**3 - d**2 + d - 1. Give -j(a) + 2*n(a).\nAnswer: -2*a**3 + 2*a**2 - 5*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 2132?\nAnswer: -2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/((-4)\/18 + 228\/54). Solve -g + 3*u = 15, u + p*u - 5 = 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8*c**3 + 95*c**2 + 16*c + 365. Determine v(-12).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 8*f**2 - 11*f - 13. Let w be n(-9). Suppose 4*a - 17 = -w. Solve -a*z - 5 = 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -301*n + 29. Determine g(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/(-2)*(98800\/30)\/10 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -4606.506.\nAnswer: -4607.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 67983 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -10.386?\nAnswer: 10.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 377670 by 1511.\nAnswer: 377670\/1511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n - 4 - 3*n - 2*n + (-4 + 4 + 1)*(-6048 + 293*n + 6048) to b*n + u and give b.\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*o**5 - 414621*o**4 + 9549965412*o**3 - 73302345582960*o**2 - 330053979707712*o.\nAnswer: 3*o*(o - 23036)**3*(2*o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (129 - 439506\/3402)*9\/3.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 618\/47 - 173940\/13207. Let n = q + 8233\/3934. Let i = -935\/178 - -1\/356. Calculate the common denominator of i and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9885352 to the power of 1\/2, to the nearest integer?\nAnswer: 3144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(425) + sqrt(17) + sqrt(153)\/(sqrt(27)\/sqrt(3)))**2.\nAnswer: 4913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3822 + 3827. Solve 5*l = -t*n + 15, -2*n + 4*l = l + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*x**3 + x + 6 - 5 + x**3 to g + v*x**2 + s*x**3 + u*x and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 10. What is the third smallest value in 0.4, s, -2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -5292*l**5\/17 - 7266*l**4\/17 + 50888*l**3\/17 + 54966*l**2\/17 + 1984*l\/17 - 120\/17 = 0.\nAnswer: -10\/3, -1, -1\/14, 2\/63, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1726?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*f - 3*v, -4*f - v = -2*v + 21. Let i = f + 8. What is the third derivative of -4*j**2 + 6*j**2 - 2*j**2 - 2*j**i - 2*j**2 wrt j?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/3))**(4\/3)\/(j\/(((j**1*j)\/j)\/j*j*j))**21)\/(j**0*j*(j*j*j**(-2\/11)*j)\/j)**27 assuming j is positive.\nAnswer: j**(-5410\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**7\/7 - i**6\/30 + 55*i**3\/6 - 40*i. Find the second derivative of k(g) wrt g.\nAnswer: -120*g**3 - 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + -9. Let n = c + -14.999997. What is n rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 0*i**3 - 3 + 5*i**3.\nAnswer: 5*i**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -37. What is the highest common divisor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004392027 to 7 decimal places.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**8\/336 + 473*r**5\/60 + 383*r**4\/24 + 2*r**2 - 2*r - 561. Find the second derivative of c(p) wrt p.\nAnswer: 20*p**3 + 946","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**3 - 1. Let k = 2 + 3. Suppose -5 = 5*u, 0 = -3*c - 2*u - 0*u - k. Let j be n(c). Solve 0 = -2*t + z + 1, -5*t + 2 = z + j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (14 - 1 - 21).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 1 = -4*b. Suppose b*q = q. Suppose q*p = 2*p - 36. Solve -4*y - 2*i + p = -0*i, 2*i - 2 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -473*g**3 - 4*g**2 - 6*g - 3. Is c(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.49 less than 779.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b - 1540361*b**2 + 0*b - 1191*b**3 + 1540357*b**2 + 3250*b**3 - 2*b**4 in the form n*b**4 + k*b + l*b**3 + c + s*b**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 2.29. Let j = 217.29 - h. Let s = j + -226.7. Round s to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65 + 88. Suppose -t = -2*i + 39. What are the prime factors of i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000022607 rounded to 7 decimal places?\nAnswer: 0.0000226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3034 + 4996. Suppose -5*z + 903 = -j. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(((4*(0 + sqrt(72)) - (sqrt(72) - ((-3 + -1 + sqrt(72) - sqrt(72)) + sqrt(72) + sqrt(72) - sqrt(72)))) + (sqrt(72) + -1)*2 + -2 + -3)*2 + 0))**2.\nAnswer: -79200*sqrt(2) + 271300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 55020.1cm?\nAnswer: 550201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t - 4 - 4*t - t**3 + 3*t**3 - t + t + (-2*t**2 + 3*t**2 - 3*t**2)*(-6*t + 2*t + 2*t).\nAnswer: 6*t**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1840 and 4600?\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*((-2*p + 0*p + 0*p)*(-5*p**3 + 0*p**3 + 3*p**3) + 8*p + 8*p**4 - 8*p) + 532*p**4 - 65*p**4 - 74*p**4.\nAnswer: 405*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22023360 and 405.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -50617, -101232, -151847?\n\"Answer: -50615*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 7:26 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6128114401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine thirds of a century?\nAnswer: 11600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 3:15 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/2, 2, 2\/7, 13.87, -0.1, -0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k + 0 + 15*k + 2.\nAnswer: 10*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 4*u + t, -2*u - 74*t = -73*t - 31. Solve b - 4*g - u = 0, 4*b + 5*g + 13 = 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64 - 72. Let o(y) = -20*y**2 + 48. Let s(h) = 7*h**2 - 16. Let c(r) = t*s(r) - 3*o(r). Find p, given that c(p) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001304 to five decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**5\/20 - p**3\/6 - p**2\/2 - 183*p + 4. Let r(k) = 3*k**3 + 3*k**2 - 5*k - 3. Calculate -5*m(a) + r(a).\nAnswer: -2*a**3 + 3*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -546561 divided by 84?\nAnswer: -182187\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (-4 + 6)) + -4 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o**2\/2 - 46. What is p(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t = -18. Let n(z) = z**3 - 5*z**2 - 5*z - 4. Let m be n(t). Let u(r) = -2 + 6*r**2 - 3*r**2 + r + r**m - 2*r**2. Calculate u(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -24*d + 158, 4986*z = -5*d + 4982*z + 15 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 162*t**2 - 525*t - 2. What are the prime factors of h(13)?\nAnswer: 20551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) - (-3*sqrt(240) - sqrt(60)))\/(sqrt(3) + (sqrt(27)*2)\/sqrt(9)))**2.\nAnswer: 1280\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, j: 9}. Give prob of sequence hjh.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3.3 (b) -4\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -17 times 3.5\nAnswer: -59.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + 51 + -5 + -48.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6775 by 1918.\nAnswer: 6775\/1918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(108))\/sqrt(4)*4)\/(-2*sqrt(729) + sqrt(729) + (sqrt(99)*-2)\/sqrt(11)).\nAnswer: 12*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 10*h - 84 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 140 = s. What are the prime factors of s?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/(((k*k\/(k**(11\/6)\/k))\/k)\/k))\/k)\/(k\/(k**(-3)\/k)) assuming k is positive.\nAnswer: k**(-19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 33719945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1715 is divided by 32?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/25 and -101\/640.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 11 = 39*l + 57 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -110*b**5\/7 - 1294456*b**4\/7 + 2872720*b**3\/7 + 9886592*b**2\/7 - 2448224*b\/7 - 753280\/7 = 0.\nAnswer: -11770, -2, -2\/11, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -11*r - 567. Let k = r - -127. List the prime factors of k.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 10:28 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 + 26*g + 77. Is d(13) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1704*p + 35402 + 73645 = 17031. Factor 3*o**2 - 45\/2*o - p + 3\/2*o**3.\nAnswer: 3*(o - 4)*(o + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 132 + -134. Which is the second smallest value? (a) w (b) -0.4 (c) -0.02 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, e: 1, m: 3, y: 6, t: 1}. What is prob of picking 3 m?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 768606 is divided by 153700?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/76 and -32\/104595.\nAnswer: 418380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/1765350 and -23\/11376700.\nAnswer: 102390300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -20 + 54. What is the highest common divisor of 425 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17344 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10 + 405*t**5 - 23*t**2 - 14 + 197*t**5 wrt t.\nAnswer: 36120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*x**2 - 2 + 3 - 20*x**2 - 294*x - 19*x**2 + 57*x**2 in the form v + h*x + l*x**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 12*b**2 + 10*b + 15. Let l be v(11). Suppose -l*o + 24 = 5*i, -6*i + i + 15 = -5*o. List the prime factors of 2 + -3 + i + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 9 = -3*a. Let t(n) = 16*n**2 + 5*n + 11. Let r = -6 - -8. Let d(h) = 3*h**2 + h + 2. Give a*d(y) + r*t(y).\nAnswer: -y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + 3 + ((sqrt(57)\/sqrt(3) + sqrt(19))*3)**2) - (6*((sqrt(95)*3)\/sqrt(5) - sqrt(19)*-2*-2))**2.\nAnswer: -4124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3673 * -4455\nAnswer: -16363215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 0 + 0)*(0*z**2 + 2*z**2 - z**2 + (-3*z + 2*z - z)*(4*z + 21 - 21)).\nAnswer: -14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 346*o + 7269. Let k be r(-21). Solve 5*f = -2*d - 5, 48*d = k*f + 52*d + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -322 divided by -207.\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 84531 = -117840. Let v = 21814 - r. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**3 - 16*g**3 - 243*g**3 + g + 0*g.\nAnswer: -254*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (21\/(-5))\/((-3 - 4)\/18515). Suppose 1691*z = 1684*z + r. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -8*w**3 + 6*w**2. Let x(v) = -v**2. Give -t(q) - 6*x(q).\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 minus 21?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n + 137 = 165 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4181 or 4207?\nAnswer: 4181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 745 divide 3930620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266538 is divided by 3978.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 16*g + 13. Calculate the remainder when 175 is divided by d(-13).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/(3\/6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 68367485, 68367486, 68367487, 68367488?\n\"Answer: m + 68367484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11*56\/1848)\/((-12)\/(-9))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5600 and -846257155?\nAnswer: 846262755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 6*y - 33. Let c be h(4). Suppose -3*k = -6*k - 600. Let q = c - k. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37663 or -37665?\nAnswer: -37665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 186081560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6038 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(252)*-3.\nAnswer: -36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 7*q**2 - 6*q - 3. What is o(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4153, -0.4, 0.4, -3, 0.3?\nAnswer: 4153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10}. Give prob of picking 4 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 3*q + 0*q - 6 = 0, -3*q + 12 = 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r - 4. Suppose 0 = 18*y - 40 - 32. What is the lowest common multiple of z(-4) and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2963435 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 9:48 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*j - 15 = 0, 0 = -5*p + 2*j + 2 - 12. Let d be (-171)\/(-30)*(-5)\/2. Let g = d - -407\/28. Which is greater: g or p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -139 + 224. Let g = 493.3 + -577.8. Let x = t + g. Which is the smallest value? (a) x (b) -4\/9 (c) 5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -113, -229, -345, -461, -577?\n\"Answer: -116*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 + 23*d + 418. What is the units digit of f(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -4*n. Let u be (n - 0)*(-4 - -5). Suppose -3*z + 0*z + 15300 = u. What is z rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59 - (-6 - -5)) + 12 + 10 - (11 - 1).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1479821 divided by -1?\nAnswer: -1479821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/81 or 2?\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 71913869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/667 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 208\/36 + (-4)\/(-18). Let r = s + 4. Is (-88)\/20*r\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {v: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z. Let y be ((-1)\/2 + 1)*-4. Let r be -6 - -7 - (y - 3\/(-1)). Let g be i(r). Solve -3*n = -9, 5*n = t - g*n + 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 0.07, 5, -2\/15 in ascending order.\nAnswer: -15, -2\/15, 0.07, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1612725321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -168 or -1502\/9?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 447\/(-2)*(-36)\/27. Suppose 0 = 3*s + n - 210, 5*n = -5*s + 52 + a. What is the remainder when s is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 7 - 3 + 2*m - 6 in the form l*m + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115658?\nAnswer: 2, 57829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 - 1098*p**2 - 23160*p.\nAnswer: 3*p*(p - 386)*(p + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 221 and 3010943.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 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: Suppose -9*p = -5*b - 4*p - 5, -5*p = 2*b - 5. Suppose d + 3*f - 24 = b, -2*f = -2*d + f + 12. Calculate the highest common divisor of d and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000010 - 11010111110100100?\nAnswer: -11010111100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 122\/52 + 9*16\/936. What is the closest to 0 in 0, 0.5, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 1331?\nAnswer: -1327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 6:04 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 - 4*n**2 - 3*n - 1. Let d be v(-2). Suppose 22*k - 20*k - 4 = 0. Let j(m) = 1 - 4*m - 3*m + m - 7 + m**k. Determine j(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/4*(-1406)\/19. Suppose -2*f = 3*f - z. List the prime factors of f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 492*h**3*z**4 + 5*h**3*z**2 + 117866*h**3*z - h**3 + 2*h**2*z**2 + 100283*h*z**5 + 2*z**2 wrt z?\nAnswer: 11808*h**3*z + 6016980*h*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2008)\/(-8032))\/((4\/(-14))\/(-2))*5\/(-15)?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -5\/3, -2\/5, -129, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (1 - -94) - 1) + (-4053 - -4050) + 7.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/(-14) - 2097\/210 and 1 - (-2)\/6*10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/3 - 68*w**3\/3 + 374*w**2 - 2044*w\/3 + 989\/3.\nAnswer: (w - 43)*(w - 23)*(w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35044, 35047, 35050, 35053, 35056?\nAnswer: 35059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - -3 - (37 + -17).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -18?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/186775 and 41\/3249885.\nAnswer: 16249425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21575233 to the nearest integer?\nAnswer: 4645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56229931 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 162 + -110 - (6 + 25)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 1:25 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -14. Solve -y = -l + 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 829928*d - 2*d**3 - 4*d**3 - 829927*d.\nAnswer: -6*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**4 + g**3*t*y + g**3*t - 115*g**3*y + 8*g**2*t*y + 67*g**2*t + g*t wrt g?\nAnswer: -24*g + 6*t*y + 6*t - 690*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(7*r - 13*r + 40*r) + 2 - 2 + 2*r + (3 - 5 + 0)*(-r + 2*r - 2*r).\nAnswer: 72*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.86 + 19.94. Let j = y + -21. What is the fourth smallest value in 0.5, 5, j, 2\/17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p**(-1\/3)\/p)\/p)**29*p\/(p\/((p*p\/(p\/p**(1\/3))*p)\/p))*p\/(p\/(p\/(p\/(p*p**10))*p)) assuming p is positive.\nAnswer: p**(-76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(2) - (sqrt(98)*-3 + sqrt(98))).\nAnswer: sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -560, -463, -352, -221, -64?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(18\/1584*22).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*m + 342*m + 344*m + 12 - 1374*m + 347*m.\nAnswer: -2*m + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -10, -7, 4, 1 in decreasing order.\nAnswer: 4, 1, 0, -6, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - (-12)\/10)*5. Suppose 2*i = f*i. Suppose -s + 9 + i = 0. Calculate the remainder when 16 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 3 + 2)*(-2 + 6 - 2) - 97 + 75 - 80)*(-h + 2*h - 3*h + (-1 - 1 + 0)*(0*h - 3*h + h) - 3*h - 2*h + 5 + 4*h + (-1 + 5 - 2)*(-3*h + 0*h + 2*h)).\nAnswer: 104*h - 520","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + 0*j**2 + j**2 - 4*j)*(j + 0 + 2 - 2*j).\nAnswer: 3*j**3 - 2*j**2 - 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 118 + -1461413285.15\nAnswer: -1461413167.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000762018 to seven dps.\nAnswer: -0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301917891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 6*b**2 - b - 4. Let g be k(-6). Let q(j) = 3*j**g + 7 + 2*j - 8 - 3*j. Let m be (-3)\/2 - (-2)\/4. Determine q(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373322 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2 = 3*f + b, -2*b + 2 = -2*f. Suppose 189 = -f*t + 195. Solve t*m = 5*m + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -408 + 736. Let r = 645 - 451. Let o = b - r. Is 38 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**5\/2 + 15*j**4\/2 - 3*j**3\/2 - 47*j**2\/2 - 15*j = 0.\nAnswer: -15, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 305215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 150409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - r. Let z(y) = -8*y**3 + 5*y + 7. Let h(d) = 4*j(d) + z(d). What is the second derivative of h(x) wrt x?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -73*b**4\/3 - 8*b**3 + 221*b. Find the second derivative of u(d) wrt d.\nAnswer: -584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x + 4 + 1 + 2 - 51*x**2 - 9 + 648*x**2 to p*x**2 + s + c*x and give p.\nAnswer: 597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*p - 15 = 0, -d - 3*p - 14 = d. Let a be (d + 2)*18\/(-30). What is the third smallest value in a, 2\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4512*j**2 - 10577*j**3 + 4512*j**2.\nAnswer: -10577*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (68 + 1 + 3). Let v = -51 - o. Let f = v + 70. Is 33 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y - 76*y + 87*y - 11*y + 11*y.\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1546815, -1546833, -1546851?\nAnswer: -1546869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -730266?\nAnswer: -730271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22\/7 + -1. What is the closest to 0 in -2\/7, -0.2, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350 (base 7) in base 6?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 20260660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.222 and -554007458.75.\nAnswer: -554007458.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c + 16. Suppose 45*m - 66*m = 147. Determine f(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -681.72968 to one decimal place.\nAnswer: -681.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2277 plus 0.11667652?\nAnswer: -2276.88332348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/28 and -49\/386240.\nAnswer: 2703680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-34)\/(-28) - (-6)\/21. Let v(o) = -o**3 + 18*o**2 - 28*o + 190. Let p be v(17). Determine t, given that -3\/2*t**2 - c - p*t = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60469 divided by 3\nAnswer: 60469\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77638612 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -885*x = 14592 - 43236 - 44754 + 15873 for x.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**19\/y*y)\/y)**12*(((y*y**18)\/y*y)\/y)**(1\/15))**5 assuming y is positive.\nAnswer: y**1086","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 149115?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11101 (base 2) to base 6\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1642?\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (13692\/70)\/(6\/100). Let o = w - 78119\/24. Calculate the common denominator of (-58)\/638 - 2722\/(-660) and o.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 9*l**2 - 5*l - 7. Let p be y(10). Let b(c) = 31*c - 1. Let n be b(1). Let i = p - n. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -17*m**6\/30 + m**5\/60 - m**4\/24 - 125*m**3\/6 + 8*m**2 + 10. What is the second derivative of f(k) wrt k?\nAnswer: -408*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (176\/(-48))\/(-11) - (-879)\/9 is divided by 67?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 21 - 13)*(-2*j - j + 4*j)*(2 + 2 - 1)*(0*j + j - 3*j)*(17 - 12 + 8) to g + f*j**2 + n*j and give f.\nAnswer: 1950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 621, 1235, 1849, 2463, 3077, 3691?\nAnswer: 4305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 248 + -141. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -1\/5670542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1032\/30)\/(5\/600). Suppose 4*p + 828 = h. Does 75 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1443159, -1443158, -1443157, -1443156?\nAnswer: -1443155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-9)\/(1\/((-4)\/6)) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 489852.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -239012 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57966026?\nAnswer: 2, 23, 1260131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a micrometer in nanometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*sqrt(84) - sqrt(84))\/sqrt(12))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1222652 (base 7) to base 6.\nAnswer: 3211122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 2)*(-2*w + w + 3*w + (1 + 2 - 5)*(18*w - 98*w - 53*w) + (w + w + 0*w)*(-1 + 3 - 1))*(4 - 2 - 5) as n + f*w and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*g, -y + 13 - 17 = 3*g for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 5*j + 31, 4*j - 13 - 7 = 0. Let s(p) = 3*p - 2. Let t(z) = -3*z + 2. What is x*t(k) - 3*s(k)?\nAnswer: -3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j = -23*j - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0.3 (b) 146\/17 (c) -0.5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 4*p = 39, 3*m - p + 19 = 7*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + w. Let i be s(0). Suppose i = -7*n + 2*n - 20. Let q = n - -14. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 6:32 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -210462*a + 210563*a - 606 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/1925 and 53\/192290.\nAnswer: 10575950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(126)\/sqrt(2))**2 - (-4 + sqrt(252)) - (((sqrt(126) - sqrt(126)*-1)\/sqrt(2))**2 + 2)) + 3 + -2.\nAnswer: -438 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5408 and 2414780160.\nAnswer: 5408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 773 divided by -6.\nAnswer: -773\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 152335163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 340268891?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**4 - 273*x**3 + 2412*x**2 + 190848*x + 188160 = 0. What is x?\nAnswer: -20, -1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - b. Let j(u) = -u**3 - 10*u**2 + 7*u + 1. Let p(q) = j(q) + 6*x(q). What is p(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18517 is divided by 206?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -1 (b) -14 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-160)\/48640 - 120\/384.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -1568*q**3\/5 + 31696*q**2\/5 - 6738*q\/5 + 72 = 0.\nAnswer: 3\/28, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, q: 9, y: 1, c: 2, k: 3}. What is prob of picking 2 k, 1 c, and 1 v?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 205071 divided by 6?\nAnswer: 68357\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + -0.20000026. Round c to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cchnihllnill. Give prob of picking 1 l, 2 h, and 1 n.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*o**3 - 26*o**3 - 27*o**2 + 44*o**2.\nAnswer: -o**3 + 17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.67 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - g = -12, g + 408 - 406 = 2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 - 33276*d**3 + 276756484*d**2\/5 + 221485056*d\/5 + 44302336\/5.\nAnswer: (d - 3328)**2*(5*d + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -578 + 3*n**2 - 15*n**2 + 1113 - 529.\nAnswer: -12*n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021782285 to 5 decimal places.\nAnswer: 0.02178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/56 of a week in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 123 and 171.\nAnswer: 7011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07125 + 1.92875. Which is the second biggest value? (a) q (b) -0.5 (c) 2.248\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 42\/70 - (-47)\/5. Let o(v) = -q*v + 8*v + 4*v + 3*v. Let z(w) = 3*w. Calculate z(o(j)).\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 12. Suppose 0 = -5*a + u*f, -3*a + 32 = 3*f + 5. Suppose a*d + o - 42 = 4*o, 8 = d - 2*o. Solve -4*k + d = 0, g - 12 = -5*k - 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*k - 2*k**3 + 0 + 14*k - 2*k**2 + 0 in the form b*k**3 + j + f*k + a*k**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/10, -0.8, 2.\nAnswer: -0.8, 1\/10, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 8*p - 4. Let k be v(7). Suppose 3*u = 8*u. What is the third derivative of -x**6 + 4*x**2 - k*x**2 + u*x**6 wrt x?\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68*u**2 - 6*u**2 - 79*u**6 + 77*u**6 + 15*u**4 wrt u?\nAnswer: -240*u**3 + 360*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 897 + -2a?\nAnswer: 86a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.53 - -19. Let h = m - 1.469917. Round h to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1366 - -1368. Is 109 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -10. Let x be (-276)\/6 + j*2. Let n be (-4)\/26 - x\/(-195). What is the smallest value in -4, 0.4, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011010000001110 (base 2) to base 7.\nAnswer: -445630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-54)\/(-84))\/3)\/(3\/(-4))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 55 and 2388.\nAnswer: 2443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 381 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -3*i - 8, -41*v - 4 = -43*v + i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -83927.125 and 151.\nAnswer: -83776.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**5 - 770*m**4 - 10026*m**3 + 415810*m**2 + 6836428*m + 6411360 = 0?\nAnswer: -370, -19, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 29, -3365, 0, 9 in increasing order.\nAnswer: -3365, 0, 1, 5, 9, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 85*h**2 + 2*h - 12 + 75 - 24*h**2 - 4*h wrt h.\nAnswer: 122*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 861275717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11711\/930 + 127\/10. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -496*p - 450*p + 101*p + 3 - 230*p as t + m*p and give m.\nAnswer: -1075","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-100)*10\/(-18)*1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41b0534 (base 12) to base 8.\nAnswer: -57304770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.3 + 4. Let d(k) = -k - 33. Let x be d(-29). Sort p, x, -1\/3 in ascending order.\nAnswer: x, -1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 585538398.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-80)\/(-60) + (-4)\/(-6). Suppose 50 - d = 4*p. Suppose -2*l + 6 = -p. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*w**2 - 123*w - 52*w**2 + 23*w**2.\nAnswer: -2*w**2 - 123*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10822130*q**6 - 937*q**2 + 257*q wrt q?\nAnswer: -1298655600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 + -38. Let s = w + 13. Let y(v) be the first derivative of v**4\/4 - 2*v**3 + v**2 - 6*v - 1. Calculate y(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 160\/24*6\/(-4). Let z = -7 - g. Let v = -1 + z. Solve 0 = -v*t - 7 + 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 - 0. Let y = 409.72 - 409.62. Let n = -0.1 + -3.9. Which is the fourth smallest value? (a) 0.2 (b) n (c) o (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 12*m**2 - 52*m**2 + 20*m**2 + 19*m**2. Let g(v) = -4*v**2 + 0*v**2 + v**2. Calculate g(d(j)).\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*r + 3 - 63*r**2 - 202*r.\nAnswer: -63*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 1213331003?\nAnswer: 1213331010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -16. Let c(t) = -7*t + 3 + 3*t - 1 + t. Let k(v) = -v**2 + 4*v - 9. Let q be k(2). Let d(r) = -2*r + 2. Calculate o*d(f) + q*c(f).\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/(g*g**(2\/9)\/g)*g*g*g*g**(3\/8)*g)\/(g**(-2))**(-48))\/((g\/(g\/(g*g**10)))\/(g*g**11))**(-7) assuming g is positive.\nAnswer: g**(-6901\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 4*v + v)*(2 - 2 - 1)*(-4 - 1 + 0)*(17 - 17 - 30*v).\nAnswer: -150*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 17 = -2*q. Suppose -4*i = 3*y - 284, -4*i - y = -33 - 243. What is the highest common divisor of q and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/10 - -1) + (-226)\/(-5). What is the highest common factor of 165 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 866.943 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -955883, -956002, -956203, -956486, -956851?\nAnswer: -957298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20544, -23249, -27758, -34071, -42188, -52109, -63834?\n\"Answer: -902*a**2 + a - 19643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-one fifths of a milligram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 0*j - 87. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -1) + -38 + 83 + -34\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 487264, 487270, 487276?\nAnswer: 487282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, d: 2, q: 5, x: 4}. What is prob of sequence qqx?\nAnswer: 20\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 95541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.61 - -0.39. Let o = m - 14. What is the smallest value in o, -1\/3, 4, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11978 - 8331*h + 11978)*(-h + 4*h - 4*h) in the form v*h**2 + w*h + z and give v.\nAnswer: 8331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/70*236\/(-59))\/(47\/7).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 0 + 6 + 18*p - 37*p + 19 + 18*p. Let h(d) = -3*d**2 - 13. Calculate w(h(x)).\nAnswer: 3*x**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 228 and 1575556.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 555613 divided by -31\nAnswer: -17923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104c1 (base 16) to base 7.\nAnswer: -365421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, -1\/4, -1\/8, -4\/11, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1100200122 (base 3) to base 15\nAnswer: 7dd2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 16 + -10 + 9 - -6\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 32338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**3 + 40285*c - 10 + 2*c**4 - 40285*c to a*c**4 + q + w*c**2 + s*c + d*c**3 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 100 = -2*k + 5*b, -5*k = -3*b - 229. Let h = -16 + k. Let x = h - -95. What are the prime factors of x?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14946 and 6042.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 5:21 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1397 is divided by 1288.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(344\/(-172)*3\/4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6197 + -6194 + (2 - 21 - -2) - (2 + 28)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 10 = 5. Let o(z) = -4*z + 2. Let u(s) = -4*s + 3. Let f(b) = x*o(b) - 4*u(b). Let h(i) = -i + 1. What is -f(m) - 6*h(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11535 or 353?\nAnswer: 353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*f*j*o*t + 79*f*j*t**3 + 2020*f*o - j*o - 62297*o*t**3 - 5*t**2 - t wrt f?\nAnswer: 3*j*o*t + 79*j*t**3 + 2020*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*g - 5*z, 5*g + 48*z = 47*z + 3. Solve -4 = -j, 3 = -3*l + j - g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(5\/9)*r\/r**(-3\/4)*r)\/(r**(-4\/3)\/r**(1\/5)) assuming r is positive.\nAnswer: r**(851\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (243\/(-108))\/((-6)\/(-24))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11377000 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6137719.\nAnswer: 7, 876817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 1221*f**3 - 9 - 3455*f**3.\nAnswer: -4676*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1500 divided by -500?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -15. Let t = j - -6. Is (-3)\/t*3 - -210 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 4, -3\/5, -0.185, 52?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 3\/1) + 15. Let c = -14 - -8. Let z = c + y. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/2 - 1075\/75*(-6)\/(-16).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.94 and -93?\nAnswer: 1017.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 54) + (-325 - -442).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/4)\/(14\/4). Let r = -21 + 22. Which is bigger: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 31*u**2 - 11*u - 26. Let n(d) = -6*d**2 + 2*d + 5. Let s(c) = 11*n(c) + 2*v(c). Differentiate s(q) wrt q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -53, 374, 1?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-176181)\/6)\/((-27)\/(-18) - 2)?\nAnswer: 58727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 26*p**3 - 16*p + 16. Let q(g) = -5*g**3 + 3*g - 3. Calculate -3*i(o) - 16*q(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**5\/5 + c**2 - 5*c - 7. Let s(q) be the first derivative of n(q). What is the first derivative of s(k) wrt k?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(19) + 2 + sqrt(19) - (sqrt(684)*4)**2.\nAnswer: -10940 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -340243343 (base 5) to base 13\nAnswer: -403ab2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - o**4 + 0*o**2 + o**2)*(4 - 3 + 4).\nAnswer: -5*o**4 + 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -41*c**4\/2 + c**3\/3 + c**2 + c + 15. What is the units digit of m(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 39285126, 78570251, 117855376, 157140501, 196425626?\n\"Answer: 39285125*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 269585634 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*z, 2*g - 5*g + 12 = 0. Let p = 863 + -864. Which is the nearest to -0.1? (a) p (b) 0.01 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**25*m*m))\/((m*m\/((m*m*m**(2\/5)\/m*m)\/m*m*m))\/m))\/(m**(-2\/19)\/(((m*m**(1\/17))\/m)\/m)) assuming m is positive.\nAnswer: m**(-39464\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = 3*j + 3348. What are the prime factors of j?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*q + 7 = 151. Solve -4*v + q*l - 11 = 0, -2*l = -4*v + 2*l - 8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.5, -1\/6, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 5*m - 7. Let w(f) = -f. Let x(v) = k(v) + w(v). Suppose -4*a = -5*q + 26, -2*a + 8 = 2*q - 6. Calculate x(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l - 5*l**2 + 7*l)*(-23*l - 595 + 595)*(-10*l + 3 + 1 - 6).\nAnswer: -1150*l**4 - 230*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 12:57 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*u - 40*u = 0. Let l(x) = -x**3 - 5*x**2 + 3*x - 4. What is the remainder when 37 + (u + 9 - 7) is divided by l(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -11*h**2 - 1. Let m(k) = k**2 + 8*k + 7. Let x be m(-8). Let g(w) = 12*w**2 + 1. Let o(l) = x*b(l) + 6*g(l). Calculate o(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.323921 to three dps.\nAnswer: 13.324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 14 = -74. Let m = k + -11. Suppose 20 = 2*t + y + m*y, 0 = 3*t - 3*y - 30. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -3 (b) 3 (c) -1 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 4*c**2 - c - 3. Suppose -12*q + 251 - 47 = 0. Suppose 27*n = q*n - 40. Calculate j(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -55 + 741\/13 + 2 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -177 in 0.4, 11, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1223, 2091, 2959, 3827, 4695, 5563?\n\"Answer: 868*c + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2 - 3*u + 2*u - u. Let n(l) = -2*l**2 + 212*l - 2884. Let f be n(16). Let y(g) = g + 1. Calculate f*y(c) - 3*j(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/4*(-14)\/(-21))\/((-6305)\/45396)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4*v - 40 = 0. What is the smallest common multiple of v and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1823 is divided by 203?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.03 - -17.03. What is the third smallest value in 0.046, -0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11 - 20 - (-471)\/27. What is the biggest value in -1\/4, 0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 6*p - 6. Suppose -2*d - 6 = -40. Let b(y) = d + 6*y**3 - 2*y - y**3 - 15*y - 2*y**3. What is -6*b(h) - 17*v(h)?\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 591971921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -7 - (-3 + (-15 - -6) + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**4\/21 + 20*t**3\/21 + 22*t**2\/7 - 2*t + 2. Find x such that k(x) = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 244404805?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9454 + 14574. Factor 33*q**2 + 35*q**2 + 163*q**2 + 15*q**3 + 89*q**2 + y*q - 10*q**3.\nAnswer: 5*q*(q + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*j = -209*j + 132*j. Is j != -260.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((1*(sqrt(54) - (sqrt(216) + sqrt(54)))\/sqrt(9))\/((sqrt(400) - sqrt(16))\/sqrt(8)*-6))**2 + 3).\nAnswer: 145\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -249683 by 7.\nAnswer: -35669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -0.02 (c) 2 (d) 3\/5 (e) -347 (f) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 17, -1, 5 in increasing order.\nAnswer: -3, -1, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2386 - -4561. Is 25 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**2 - 1223*a - 3660 = 0. Calculate a.\nAnswer: -1220, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -4811211275 to the nearest 100000.\nAnswer: -4811200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 249, -2, 3 in increasing order.\nAnswer: -2, 0, 3, 249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -50*y**3 + 6*y**2 - y - 3. Let a(c) = 53*c**3 - 8*c**2 + c + 4. Determine -3*a(h) - 4*k(h).\nAnswer: 41*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*6*(3 + sqrt(19) + sqrt(19) + -1).\nAnswer: -24*sqrt(19) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 12. Suppose -5*g = -4*b + 3*b + 12, -b + 15 = -2*g. Let u be 76\/6 + 4\/12. Solve -3*t + 10 = -c*f - u, -t + 4*f + b = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 51 = -3*j + 53, -2*x + 8 = 2*j. Solve -2 = 5*r + 5*q + 3, 2*q - 6 = j*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + r + 3*r)*(-r - 2*r + 2*r + (2 - 3 - 1)*(r + 0*r + r) + (88 - 18*r - 88)*(-3 - 5 + 2)) as w*r**2 + x*r + n and give w.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -32*b**5\/3 + 48*b**4 - 178*b**3\/3 + 10*b**2\/3 + 16*b + 8\/3 = 0.\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - 4\/((-8)\/10). What is the closest to 1\/2 in -1\/5, s, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -11*n**3 + 2*n**2 - 2*n - 2. Suppose -201*v + 5*b = -206*v - 5, -2 = -4*v - 2*b. Let z(x) = x**2 - x - 1. What is v*p(w) - 4*z(w)?\nAnswer: -22*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 + 6248*w**2 - 6262*w - 37500.\nAnswer: 2*(w - 3)*(w + 2)*(w + 3125)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6 = -4*b + 19, -4*v + b = -8. Suppose -m + v*m - 20 = 0. Suppose -2*z + m = -0*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -2, -4\/7, 36, 2\/11 in increasing order.\nAnswer: -2, -4\/7, 2\/11, 0.4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -1. Let m(x) be the third derivative of 2*x**2 + 0 + 1\/2*x**3 + 0*x + 1\/24*x**4. Let a(r) = r + 3. Let s be a(-4). Calculate s*w(d) - m(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ybbbybebybqbqy. Give prob of sequence bqqb.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5217 is divided by 145.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2670925\/671727 - 1\/63974. What is the common denominator of -47\/291 and g?\nAnswer: 4074","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 10:19 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 200.729 rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 q when two letters picked without replacement from {q: 3, x: 9}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 11. Let v(d) = d + 23. Let p(z) = -9*u(z) - 4*v(z). What is the derivative of p(i) wrt i?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(3 - (-303)\/(-102)). Let x = -5.29 - -0.29. Which is the smallest value? (a) x (b) 0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -152 - -313\/2. Solve m*h**2 + 2 + 7\/4*h**3 + 1\/4*h**4 + 5*h = 0 for h.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3269\/11 + -297. Let v be ((-2)\/(-10)*5)\/(3 - -3). Which is the second biggest value? (a) -2\/3 (b) n (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 1, p: 3, m: 2}. Give prob of sequence pm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - 7. Is 35 a factor of (-2110)\/(-18) - p\/(-54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 163*k**2 + 147*k - 5. Determine u(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**23\/b)\/b)\/((b*(b\/b**(-9))\/b)\/b)*b**(12\/7)*b\/(b**38\/b) assuming b is positive.\nAnswer: b**(-149\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 1\/10*l**7 - 9\/20*l**5 + 0*l + 5\/8*l**4 + l**3 - 1\/8*l**6 + 0 + l**2. Suppose j(i) = 0. What is i?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3733 - 3660*i**3 + 3733.\nAnswer: -3660*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 512, 517, 534, 569, 628, 717?\nAnswer: 842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 446821000 to the nearest one million.\nAnswer: 447000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59233 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u**2 - 4. Suppose -w + 12 = 5*y, -8*y + 3*w + 15 = -6*y. Let o(s) = 4*s**2 + s + 3. Determine y*t(a) + 4*o(a).\nAnswer: a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 + 24. Suppose -2*m - 3*v - 75 = -0*v, 10 = -2*v. Let n = y - m. Solve 3*p + 0*x = -4*x - n, -4*x = -3*p + 19 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**8\/84 + 11*u**6\/30 - 6*u**5\/5 + 4*u**4\/3 - 61*u**2\/2 + 177*u. Let b(f) be the first derivative of q(f). Solve b(x) = 0.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.3 and 195.\nAnswer: -448.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62152, -63814, -66584, -70462, -75448?\nAnswer: -81542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 6.927\nAnswer: -0.6927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 124210520 (base 7) to base 5\nAnswer: 4011400012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266\/(0 + -3 + 5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-6 + -105)) + -8 + (-2 - (-17 - -13))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 73*d - 94. Let y be m(6). What is the greatest common divisor of 602 and y?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -63, -97, -129, -159, -187, -213?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.032 + 0.232. Which is the smallest value? (a) -0.5 (b) -5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 443409 and 183?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/130389080 and 5\/143427988.\nAnswer: 1434279880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -1278*i - 1263. What is v(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6928509 by 9583.\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -304cd - -3?\nAnswer: -304ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (sqrt(102) + (sqrt(102) - 2*sqrt(102))))\/sqrt(6) + -4 + 1 + (sqrt(833) - sqrt(833)*-1)*4*4)**2.\nAnswer: -1350*sqrt(17) + 860634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -909, 1, 0.07, 13?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3786 divided by -2.\nAnswer: 1893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*a - 3. Suppose -a*f + 192 + 58 = 0. Suppose 0 = 2*j - 4*j + f. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 10*g - 34 = 0. Factor -15 - 320*a**2 - 480*a + 85*a**g + 7 - 12.\nAnswer: -5*(a + 2)*(47*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260430839?\nAnswer: 260430839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16312\/11 - -1483. What is the nearest to 2 in -0.1, n, 2, 1\/41?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**2 + 759*x + 1506 = 0.\nAnswer: -251, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 175208*o - 3 - 167296*o - 1 + 4 in the form a*o + y and give a.\nAnswer: 7912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6898 + -0.6256356\nAnswer: -6898.6256356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331828712?\nAnswer: 2, 17, 31, 78707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2*u + 2*u)*(-35*u + 35*u - 5*u**3) + 3*u**4 + 2*u**4 - 3*u**4 + (2*u + 2*u - 6*u)*(-2*u**2 + 2*u**2 + u**3) - 3 + 3 + 3*u**4.\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m + 3. Let n be h(3). Suppose 0*z = 5*z - n. Suppose 0 = 2*u + z*u. Which is smaller: u or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2102, -2131, -2160, -2189?\nAnswer: -2218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 2:05 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1, -5, 2\/13, 0.36?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222708158?\nAnswer: 2, 19, 421, 13921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/((-5775)\/154))\/((2\/(-2))\/(-3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*b**3 + 25646*b*f + 14950*f - 9 wrt b.\nAnswer: 18*b**2 + 25646*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -9624440649.\nAnswer: 9624440648.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -42*k - 292. Let w be j(-7). Which is the nearest to -1? (a) -1 (b) w (c) -0.5 (d) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -231*j + 344*j + 830 + 3568 + 1478 for j.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39710051.\nAnswer: 39710051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p = -4. Let j = p + -3. What is the highest common factor of 4 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1778 - 1779. Let z = -0.02 - -0.42. What is the second biggest value in 0.2, i, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2156, -2158, -2160, -2162, -2164?\n\"Answer: -2*b - 2154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*a + 157 = -60 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 11:54 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five quarters of a meter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 838 - 393. Calculate the remainder when k is divided by 113.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y - 8. Let l be r(6). Suppose -2*h = -l - 2. Solve -h*t = 2*n + 2, 4*n + 8 = -4*t - 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205279 is divided by 481.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4028 + -4026. Which is the biggest value? (a) 6 (b) -0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/4)\/(10\/26320). Suppose -2*z = 3*u + 3434, 3*u = -z - 398 - m. Round z to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5120564 or -5120561?\nAnswer: -5120561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 459458706 to the power of 1\/3, to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 3*v**2 - 2*v + 29. Let k be a(-4). Solve k*c - 60 = 36*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 2. Let y be v(4). Suppose 0 = 7*k - y*k - 3000. Let s = k + -261. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3621908636 a multiple of 614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2216, -4429, -6640, -8849, -11056?\nAnswer: -13261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3011 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 10*j**2 + 8*j + 24. Let q be s(-9). What is the highest common factor of q and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 5*k**2 + 8*k - 6. Let p be i(6). Suppose p*x - 120 = -0*x. Solve -x = -3*g + 8*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 691 - 563. What is the highest common divisor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 332818563 to the nearest integer?\nAnswer: 18243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 + -71 - (-2 - 25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**4\/3 - 4*h + 24. Let f(a) be the first derivative of d(a). Let z(x) = x. What is z(f(l))?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2226 at least as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 - (-2464)\/(-728)*(-143)\/(-11)?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 10*r**2 - 15*r - 5. Let x be p(8). Solve -15 = 4*o - x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -6. Let u = -29 - -117. Let f = u + -87. Put f, -3, -5, o in decreasing order.\nAnswer: o, f, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j**4 - 2*j**3 - j**2. Let c(w) = -4*w**4 - w**3 - w**2. Let q(o) = 4*c(o) - 3*z(o). Factor q(t).\nAnswer: -t**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1690589 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-13))\/(y\/y**24) assuming y is positive.\nAnswer: y**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t + 0 + 3 = -6*j - 20, j = 6*j - 5*t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*f + 1596 = 74*f + 4*f for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/2 - 133*f**3\/2 + 68*f**2 + 134*f.\nAnswer: -f*(f - 2)*(f + 1)*(f + 134)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**2 - 27*o - 108 = 0.\nAnswer: -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001116 rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/3))**(-3\/34)\/(q**0)**(2\/25))\/((q**0)**(2\/105)\/((q*q**(-1\/3))\/q)**(-40)) assuming q is positive.\nAnswer: q**(677\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1580 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/2 - 2\/4. Let y be 15\/(-10) - 1589\/c. What is the units digit of y\/(-18) + (-14)\/63?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 245, 43716*v - 43715*v = 15*x - 843 + 113 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 25\/(-5) - -7. Solve n*v = 2*v + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**3 - 30*s**2 - 15*s - 4. Calculate b(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -5*f**2 - 615*f - 2380 = 0.\nAnswer: -119, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2820 + 5824 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 476 divide 126644507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 12.3\nAnswer: 12.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 3*a + 4. Suppose 3*c - 7*c + 4*u + 8 = 0, 5*c - 19 = 2*u. Calculate the remainder when -2 - (100\/(-4) + -2) is divided by r(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f. Let t(l) = 7 + 8*l + 7 - 14. Calculate t(b(c)).\nAnswer: 40*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0*v)**6\/(v**(2\/5))**(5\/14))\/(v**(-4)\/(v*v**1))**(-32) assuming v is positive.\nAnswer: v**(-1303\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**5\/80 + 3*m**4\/32 - m**2. Factor y(n).\nAnswer: 3*n*(n + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**20*a))\/a**18 assuming a is positive.\nAnswer: a**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkuxxffxikfxyuiiyfi. What is prob of picking 1 k, 1 u, and 2 y?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 159553 - 107786. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3088446?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.239 and -9?\nAnswer: 8.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**4\/5 + 3*r**3 - 18*r**2\/5 - 96*r\/5 + 96\/5 = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8, 30, 52, 74, 96?\n\"Answer: 22*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -15042766 to the nearest 10000.\nAnswer: -15040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 0 - (-1 + 55 - (3279 + -3298)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/15*6\/(-4). Let l be 1 + 1680\/(u - -4). Suppose 0 = -2*b - l - 879. Round b to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 12*w - 3 = 0. Suppose -158 = w*s - 0*k + 2*k, -3*k - 262 = 5*s. Let l = s - -98. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 6:13 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 61 (b) 2 (c) -17\/5 (d) -0.3 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -1 (c) 140\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 + 6*s**2 + 0*s**3 - 6*s**2.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123507 = 24*s - 20*s + a, 2*a - 154386 = -5*s. Is 62 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -543*l + 31128 = 754*l for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 189984 to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + 16 + 96 + -79.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -134, -219, -304, -389, -474, -559?\n\"Answer: -85*x - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3624 divided by -151?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 5. Suppose q*b = -3*b - 9. Let g = b + 5. Solve 4*m - g*s - 26 = 0, 4*s = 4*m - 42 + 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhf when four letters picked without replacement from uhfuhuufh?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 1, -0.8, 460?\nAnswer: 460","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 11*j = 12*j - 12268, -4*k = 5*j - 12268. Calculate the lowest common multiple of k and 10.\nAnswer: 30670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -12*i - 138. Let q be a(0). Let r = -137 - q. Let h(t) = -18*t**2 + t - 1. Give h(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 2.293?\nAnswer: 2.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -22232221 (base 4) to base 16\nAnswer: -aba9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 2*y - 45 = 38, 94*r - 2*y = 94*r + 80 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n - 62735 + 37037 + 25698.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20.56 + 21. Let l = -772665.43999825 + 772665. Let m = d + l. Round m to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -1) + (1 - (-12 + 7)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1480 and 4775.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 1:32 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*k - 2*k**2 + 22*k**3 + 9 - 2 - 19*k**3 - 8 as p + y*k**2 + j*k**3 + b*k and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 2*c**2 + 3*c. Let i be t(3). Suppose i = -3*h + 16 + 47. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - 29) + 1 + (-5 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqq. What is prob of sequence qqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k**(-2\/31)*k*k\/(k\/(k*k**(-5\/4)*k*k*k)) assuming k is positive.\nAnswer: k**(705\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -257 * 1\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 395, -1, 1 in descending order.\nAnswer: 395, 3, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76279 and 21.\nAnswer: 228837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -317183*x**4 + 317205*x**4 - 3*x**2 - 4*x**2 + 2*x**3 - 2*x to the form t + z*x**3 + j*x**4 + p*x + q*x**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*q + 1. Let f(c) = c**3 - c + 1. Let k(h) = 2*h + 3*h**2 - 10*h**3 + 7*h**3 + 2093746 - 2093747. Give q*f(x) + k(x).\nAnswer: -2*x**3 + 3*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -27*z**2 + 2*z + 2. Let t be p(-2). Let f = 123 + t. Solve 3*b - f = 4*q, b + 4*q - 2 = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-seven quarters of a year?\nAnswer: 201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**28*y**(-2)\/y assuming y is positive.\nAnswer: y**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.14 + 0.26. What is the biggest value in -0.2, x, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -15, -3*z + 575 = 4*d + d. Let n(c) = -1 + 3 + d*c - 1 + 16*c. Let h be n(1). Calculate the highest common divisor of 15 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 28, 0.05, -2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 + -983778707.\nAnswer: -983778766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8571094097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-32)\/10 - 35892\/4985.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 12*s**2 + 51*s - 11. Calculate x(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 17*j**2 - 16*j + 9. What is y(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + d - 45 = 0. Let z(y) = y**3 + 17*y**2 + 13*y + 33. Let k be z(d). Suppose 3*v - k = 2*l, 4*v - 3*l - 166 = 217. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252601323.\nAnswer: 3, 13, 67, 96671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t**2*x**3 - 35*t**2*x**2 + 5*t**2 + 1352*t*x**2 + 22194*x**4 - 2*x**3 wrt x?\nAnswer: -18*t**2 + 532656*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-23 - -8) + 12).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -1086971.\nAnswer: -2173942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1171, -1169, -1167?\n\"Answer: 2*u - 1173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 6:58 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 0, 1 in descending order.\nAnswer: 1, 0, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 806*b - 108535. What is a(-171)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 27207, 108879, 244999, 435567?\n\"Answer: 27224*p**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3 - 19. Let r(b) = -7*b**2 + 10*b - 4. Let a(l) = -8*l**2 + 11*l - 3. Let f(k) = z*a(k) + 3*r(k). Find the second derivative of f(w) wrt w.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -21 + 1 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 4. Let a be r(6). Let z(p) = p - p - a*p**2 + p**2. Let w(o) = 17*o + 13. Let n(f) = 4*f + 3. Let g(i) = 26*n(i) - 6*w(i). Calculate z(g(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97.11 + 97.31. Let w = 0.2 - -0.8. Suppose 7*d - 128 = 3*d. Sort d, w, c.\nAnswer: c, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 218 by 109.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65465?\nAnswer: 5, 13093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 8*s**2 + 10 - 7*s**2 - 9*s + 0*s**2. Let b be t(8). Solve -7 = 3*h - 2*r, b*h + 7 = -3*r + 2*r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3 + (-8)\/24. Let i be (1 + h)\/(1\/3973). Let p = i - 71459\/18. Calculate the common denominator of 3\/4 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -17.8602\nAnswer: -17.8602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -2)*(-5)\/(-10). Suppose 2*s + 3*d = 4, 3*s + 4*d - 6 = -j. Which is the nearest to -0.1? (a) s (b) -0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -28439*w + 9242686. Determine h(325).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a minute?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -2 + sqrt(425) - sqrt(425) - 2*sqrt(425)*2) + -5)**2.\nAnswer: 200*sqrt(17) + 6825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 4. Let h be t(-4). Suppose 0 = -4*f + 3*q - 3, h*f - 6 = 3*f - 3*q. Solve -3*w - 9 + f = 5*s, -12 = -s - 5*w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 8*l - 1. Suppose w = -4 + 9, 0 = -3*m + 3*w - 18. Determine c(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13852 - 13703. Solve 217*l - k*l = 136 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**4 + 565*h**3*i - 11*h**2*i + 11*h**2 wrt h.\nAnswer: -24*h + 3390*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 h when three letters picked without replacement from qhqnqhnhqnqh.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -33894?\nAnswer: 33894.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1887300 and 5592?\nAnswer: 3774600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -18) + 3\/(-3). Let d(g) = g**3 - 12*g**2 - 13*g + 2. Let u be d(a). What is the third derivative of 2*i**2 + i**u - 19*i**4 + 14*i**4 wrt i?\nAnswer: -120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**2 + 70*x + 9. Let m be y(-16). Suppose 34*r = m + 1. Solve -r*w + 5 = 30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 46*n**2 - 3083*n. Let a(j) = -2*j**3 + 84*j**2 + 6166*j. Determine -6*a(h) - 11*y(h).\nAnswer: h**3 + 2*h**2 - 3083*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -187*c + 189*c - 82*c**4 - 3*c**3 + 46*c**4 + 40*c**4 to r + o*c**4 + b*c + f*c**2 + j*c**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 153 + -131. Let y(f) = 28*f - 135. Let z(i) = 7*i - 34. Let a(v) = c*z(v) - 6*y(v). Differentiate a(g) wrt g.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 219622726*z. Let y(l) = l**2. Calculate y(d(p)).\nAnswer: 48234141775671076*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + 4 + 0*o**3 + 2*o**3 - o**3 - 3*o. Let f be z(-3). What is the second derivative of 3*r**5 - 5*r**5 + f*r**5 - r wrt r?\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 5*x + 5*x)*(-6*x + 5*x + 5*x)*(5 - 5 + 5*x).\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 243579\nAnswer: -1217895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of v**3 + 18*v**2 + 139 wrt v?\nAnswer: 3*v**2 + 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56636916?\nAnswer: 2, 3, 7, 674249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -4*v**2 + 149848*v - 15689940 = 0.\nAnswer: 105, 37357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2270643?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 39 = 5*k - 0*b, 3*b + 10 = 2*k. Calculate the remainder when 6\/33 - 828\/(-44) is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (13\/52 - 19\/(-4))*12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89 - 95. Let j(g) = 3*g**3 - 17*g**2 + 20. Let p(t) = -t**3 + 6*t**2 - 7. Calculate l*j(b) - 17*p(b).\nAnswer: -b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s + 5*s - 7*s)*(-11*s - 5*s + 6*s + s**3).\nAnswer: 4*s**4 - 40*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 141855176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 11*j. Suppose -17*y = -60 + 9. Let o(v) = -4*v - 3*v - y*v + 26*v - 10*v. Give h(o(s)).\nAnswer: 66*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 301412, 301375, 301316, 301235?\n\"Answer: -11*o**2 - 4*o + 301427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -25*s. Let i be p(-1). Suppose -3*m = -4*t - 0*t + i, m + 11 = 2*t. Solve -4*a = -t*k + 4, 3*a - 2*k - 2*k + 1 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - p = 0, -4*p = -163*g + 162*g - 21. Is g greater than -110\/283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300936 divided by -6?\nAnswer: -50156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 - 2*k + 2. Let n be ((-2)\/5)\/(3\/(-30)). Let r be m(n). Suppose -r = c - 673. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.241 + 104.241. Let w = u + -104.83. Let t = w + 0.33. What is the closest to 1\/2 in 4, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 5*b**2 + 3*b + 3. Let n be h(4). Is ((-2)\/6)\/(1\/n) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5 + -2 + 177*(-6)\/378 and -89\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.02 + -4.52. What is the biggest value in -3\/7, -0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -151 (base 11) to base 14\nAnswer: -c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((18*4\/120)\/(-4))\/((-36)\/(-30))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 34, 46, 58?\n\"Answer: 12*m + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109 divided by 113629.\nAnswer: 109\/113629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 176663 and 1.414.\nAnswer: 249801.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 588147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 1:36 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 441797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-12)\/d**(2\/9)*d*d*d**23*d*d\/((d*d*d**(-33))\/d))**29 assuming d is positive.\nAnswer: d**(12209\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -90*x**4\/7 + 152*x**3 + 3530*x**2\/7 + 256*x - 584\/7 = 0.\nAnswer: -2, -1, 2\/9, 73\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38145349.\nAnswer: 11, 3467759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15936 is divided by 6268?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (4 + -13) - (-5 - -4 - 34)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4693 divide 469783428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 11. Let j be y(13). Let s(k) = 3 + k - k - k + j*k. Let c be s(3). Solve -3*l = -5*l - c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22b (base 16) to base 3.\nAnswer: -202120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 899 and 162192.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8206\/60 + 0 + (-40)\/(-100). Let n = -458\/3 + g. Find the common denominator of n and -131\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(4 + -2)\/4. Suppose -5*f + f = 3*n - 9, 3 = -3*n. Suppose 8 = b + f*b. Which is greater: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - (-4 + 1))*(-21)\/(-2). Let h(w) = w**2 + 22*w + 25. Let f be h(u). Sort f, -7, 6 in ascending order.\nAnswer: -7, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (17\/2)\/((-3)\/12). Let l be ((37\/(-2))\/(8\/(-16)))\/(-1). Let n = a - l. Solve 3*h = -5*b - 2, -4*h - n*b = -0 - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**6\/30 - i**5\/12 - 15*i**3\/2 + 4*i**2 - i - 44. Let z(d) be the second derivative of r(d). Differentiate z(y) wrt y.\nAnswer: 12*y**2 - 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2*(2 + 0). What is the biggest value in 1, 4, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18578489 is divided by 350537?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 575040*t + 8 - 575042*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c. Let m(v) = -5*v**2 + 34*v - 8. Let n(b) = -b**2 - 1. Let g(u) = -m(u) + 6*n(u). Let x(j) be the first derivative of g(j). Give x(i(y)).\nAnswer: -4*y - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 8*v**2 - 3*v - 3. Let j be w(7). Let n(h) = -h**3 + 2*h**2 + 9*h - 1. Let y be n(4). Solve -8*m + j = -y*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*r - 10, -3 = -4*s + r + 30. Which is the smallest value? (a) 2\/9 (b) -2 (c) s (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9569 is divided by 143.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*z + 2*f - 57, 25 = z - 3*f. Let u = 1498 - 1485. Calculate the highest common factor of z and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j**3 + 653*j**2 - 258*j + 196. What is r(-131)?\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64*g**2 + 853*g**3 - 853*g**3 + 86*g**5 wrt g.\nAnswer: 5160*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 397 (b) 24\/161 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 9*f**2 + 5*f - 4. Let j be b(5). Let a be 3\/((-3)\/j*-3). Let d = a - 571\/7. What is the second smallest value in d, -1\/2, -0.7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 79, 2 in decreasing order.\nAnswer: 79, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2026 + 2?\nAnswer: 2028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 55 in 6, -10, -1\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 6*q**4 + 2\/5*q**5 + 0*q**2 + 0 - 68\/5*q**3 + 0*q = 0.\nAnswer: -17, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.3 or 2798696?\nAnswer: 2798696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/(-209)*1*-11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*j**2 + 52*j**2 + 9*j**2 + 2 + j**2 - 2 - j + 2*j**2 + j + (1 - 1 + 2*j)*(3*j - j + 0*j))*(-3*j + 6*j - 2*j).\nAnswer: 77*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 20 = 0, 4*w + 10 = -0*s - 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from losslmn. Give prob of picking 1 n and 1 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1627, -20, 0 in descending order.\nAnswer: 0, -20, -1627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 599 - 607 = 4*r, -v + 348 = -4*r. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l*p**5 + 220*l*p**2 + 2*l - 202*p wrt p?\nAnswer: -60*l*p**3 + 440*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -3, -4, -18 in decreasing order.\nAnswer: 5, 4, -3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*c - 169 = 0, -c = -2*x + 3*c + 62. Calculate the highest common divisor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 a, and 1 m when three letters picked without replacement from mkkkkeekkkkekkkkaakm.\nAnswer: 13\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2661678 and 38802?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9724, -9716, -9704, -9688, -9668, -9644, -9616?\nAnswer: -9584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102210101211221 (base 3) in base 12?\nAnswer: 2122967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/7 (b) -0.5 (c) 4\/11 (d) 3 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/10)\/x*x**(-2\/11))\/((x\/x**(-2\/3))\/(x*x**5*x)) assuming x is positive.\nAnswer: x**(1469\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2666 divided by 1333\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.079 less than 0.0507854?\nAnswer: 0.1297854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(18\/(-4)) - 1034\/(-66). Let i(t) = 14*t**2 + h*t**2 - 16*t**2 + 24*t**2. Let o(p) = -p. Determine i(o(k)).\nAnswer: 37*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6507, 6508, 6509, 6510?\nAnswer: 6511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/9 - 4824458*t\/9 - 11257036\/3.\nAnswer: -2*(t + 7)*(t + 2412222)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50871?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzl when three letters picked without replacement from {p: 1, w: 12, z: 1, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 90 = n. Let b(v) = v**2 - 3*v + 4. Let r be b(3). Suppose -r*w + n = -w. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 57, 159, 259, 357, 453, 547, 639?\n\"Answer: -q**2 + 105*q - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*v - z, 32 = -2*v + 7*v - 3*z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((5*sqrt(448)*2 + sqrt(448) + (sqrt(448) + 1 - sqrt(448)) + -1 + 1)*2)**2.\nAnswer: 704*sqrt(7) + 216832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 475162 != 475163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 9070.99242 to 0 decimal places.\nAnswer: 9071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 1:12 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 24*s**2 - 7*s + 1. Let h be u(3). Suppose 0 = z - w - 56, 4*w = -4*z + w + h. Is z a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12440*w - 33036*w - 20226*w - 11607*w.\nAnswer: -52429*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -83*p**3 + 621*p**2 + 1360 - 1620*p + 38*p**3 - 41*p**2 - 5*p**4.\nAnswer: -5*(p - 4)*(p - 2)**2*(p + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2*z + 2*z)*(2 - z**2 - 1 + 8*z**2)*(-3 + 3 - z).\nAnswer: -7*z**4 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v**3 - 2*v**2 + 3*v - 1. Let u be j(1). Let s(t) = -2*t - 3 + 4*t - t**2 + 2*t**2. Let o be s(u). Solve -5 = -0*n + o*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -17*h - 4. Is 15 a factor of b(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 - 1)*(-f + 1 - 1) + (-2*f + 4 - 4)*(6 + 9 - 5))*(33*f**2 - 39 + 39).\nAnswer: -594*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 6. Which is the closest to r? (a) 0.02 (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 131428, -3, 2 in increasing order.\nAnswer: -3, 2, 131428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wywwkyykykkkwkk. What is prob of picking 1 w and 2 k?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 9294 = 1928. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4. Let n(x) = -x - 8. Let o(m) = -3*n(m) + 5*p(m). Suppose z - 10 = -z. List the prime factors of o(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.502 + 6.39. What is o rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 0. Let v be 2\/(c\/(4\/(-2))). Calculate the greatest common divisor of v and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -4\/35 (c) 5 (d) -5 (e) -6 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) -5 (b) 253\/2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -11 - 1 - (1 + -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6771289 to the power of 1\/3, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -572 - -867. What is the remainder when r is divided by 45?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-62 - -64))\/(2\/(-32))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*f**2 - 333*f - 24*f**2 - 149*f + 278*f - 1 - 507*f.\nAnswer: -41*f**2 - 711*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, x: 2, v: 1, j: 2, o: 2, n: 1}. What is prob of picking 1 v and 2 j?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 3*m + 20, -q - 42 = -6*m - 61 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 26. Let q be v(-5). Let x = q - -67. Let m = -232 + 244. Calculate the remainder when x is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-2 - -13) + (-10 - -2 - -13))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.01 in 1\/23, -2, 0.2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 - 4*u**2 + 4*u**2 + 3*u**2.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, p: 8}. What is prob of picking 1 p and 1 n?\nAnswer: 48\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7940609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 5*q**2 + 5*q. Let g(t) = -t**2 - 7*t + 1. Let j be g(-6). Let a(p) = -j*p**2 - 10*p**2 + 18*p**2 - p. Calculate 5*a(i) + v(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.8 + -2. Let b = -109 - -293. Let x = -184.01 + b. Which is smaller: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. Find the third derivative of 0*n**2 - n**w + 3*n**2 + n**3 wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*r + 240 = 36*r. Suppose 5*f - 46 = -v - 3*v, 0 = -3*v - 4*f + 35. What is the smallest common multiple of (18\/10)\/(v\/r) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*x - 411*x + 23 = -5*v, -2*v - 2*x - 2 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/3 + 56\/24. Suppose -530 = -3*g + 2*z, -g - s*z = -6*z - 190. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r + 9. Let i be x(-3). Let t(y) = 8 + i*y + 4*y - 3*y + 0. Let v be t(-7). Does v = -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - r = -27506, 92*d - 88*d - 55002 = 3*r. What are the prime factors of d?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -244*h + 1 - 11*h**3 + 247*h + 2*h**3 to v*h**2 + m + a*h + p*h**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 63 - 3*q + 2*q**2 + 6*q + 4*q - 106. Is m(28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10*(36\/15)\/(-4). Suppose d - n - 2 = 0. What is the highest common divisor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 907*i**3 - 28*i**2 - 37*i - 3. What is z(-1)?\nAnswer: -901","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01379 and -0.0793?\nAnswer: 0.001093547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 7 + 3*v**2 - 6*v + 0*v**3 + 3*v**2. Let n = -22286 - -22279. Give y(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -2. What is the derivative of 2*v**3 + 3*v**3 - 5*v**3 - 5*v**4 + g wrt v?\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*(1 + sqrt(11))*2.\nAnswer: -16*sqrt(11) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (36*s - 268*s + 78*s)*(-4 + 1 - 1) in the form z + c*s and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 + 5*r + 4. Let w be a(-2). Sort w, -2, 4 in decreasing order.\nAnswer: 4, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 206 and 937403?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 774\/7 - 776\/7*x + 2\/7*x**2.\nAnswer: 2*(x - 387)*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 9. Let c be ((-5)\/(-1))\/20*52. Let x be m(c). Solve -q - x*q + 13 = -4*j, -4 = j - 2*q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 - 0) + 0 + 2769?\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.11, -3\/5, -3, -2\/7?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/7 + 316*o\/7 - 138.\nAnswer: 2*(o - 3)*(o + 161)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwvi when four letters picked without replacement from yiywvvwgvyv.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.369 + -185.369. Let u = -165.9 - b. Let n = 21 - u. Round n to one decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 16475951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 12. Let z be g(7). Let v(s) = -2*s + 6. Let a be v(z). Let k be -12*(8\/6)\/a. Solve -k*b - 26 = 3*l, -5*b - l = -4*l + 19 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -16*x + 66. Solve 0 = -4*d - 2*o - x + 12, -3*d + 5 = o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 79*c + 1148 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 - 6*d**4 + 3*d**4 + ((1 - 1 + 1)*(1 - 2 - 1) - 2 + 6 - 2 + (-1 - 3 + 3)*(1 - 1 + 1))*(-3*d + 3*d - 6*d**4).\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103055 is divided by 398?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021504529 rounded to four decimal places?\nAnswer: -0.0215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2460 and 18444.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3 - 12*h**2 - 15*h + 26 = 0 for h.\nAnswer: -2, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2 - 58921430*d + 58921432 = 0.\nAnswer: -29460716, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 622127*z**3 + 3 - 10002*z**2 - 622912*z**3 - 3 wrt z?\nAnswer: -4710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 + 42\/22 - (-15485)\/209 is divided by (1 - 5)\/2 - -21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -434 + 382.7. Let s = p + 51. What is the third biggest value in -0.1, s, 2\/3, -0.05?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 + 0.09. Let k = f + 0.9. Let n = -5 - -8. What is the third biggest value in 3\/2, n, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**2 - q. Let j(v) = -3*v**2 - v. Let t(b) = -2*b**2 + 18*b - 23. Let o be t(7). Let c(m) = o*j(m) - 6*z(m). Let h(a) = 2*a**2. What is c(h(g))?\nAnswer: 12*g**4 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*j - 31740 = 0, -11693 = 5*a + 3*j - 51368. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**2 - 5955*i = 0. What is i?\nAnswer: 0, 1985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3282 + -1955. Let b = y + -1326.999992392. What is b rounded to seven dps?\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 3.3. Let f = -87.31 + 86.31. Which is the fourth biggest value? (a) f (b) -1\/11 (c) j (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) + (sqrt(147) - 3*(sqrt(147) + -1)**2) + (sqrt(147) + sqrt(147) + -5*(sqrt(147) + 1))**2 - ((-5*-2*(sqrt(147) + -1))**2 + -2).\nAnswer: -13894 + 1666*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 281.0992 litres?\nAnswer: 281099.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2443*h - 68403. Calculate u(28).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2207.679 + -11?\nAnswer: 2196.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (9 - 10) + 14\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2730368628.\nAnswer: 2, 3, 13, 19, 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -n - 0*w + 421, -1735 = -4*n + 5*w. Let v = 656 - n. Is v a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 3*q + q)*(3*q + 2*q - 3*q) + 3*q**2 + q**2 - q**2.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yly when three letters picked without replacement from ycscxcxcsclyccsyccs?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**7\/2940 - s**6\/315 - s**5\/140 + 5*s**3\/3 - 9*s**2. Let u(k) be the first derivative of t(k). Factor u(f).\nAnswer: -2*f*(f + 1)*(f + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23119 is divided by 45?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 72 = -3*l, 4*b - 2*l - 39 = 37. Suppose 2*m - 30 = -m + 4*d, d - b = -4*m. Solve t + m = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 26 - 11 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2405 and 2124980.\nAnswer: 78624260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 219 + -1010335?\nAnswer: -1010117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5528 to two dps.\nAnswer: -1.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.6 - -7. Let d = 0.59999976 + m. What is d rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*l + 11, 5*g - l - 3*l = 17. Solve 0*p + 30 = -5*n - 3*p, 5*p + 40 = -g*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 242352917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 20*v**4 + 392*v**3 - 17500*v**2 + 54816*v - 19152 = 0.\nAnswer: -42, 2\/5, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -843.99 - -845. Let f = -11.01 + o. Let t be (-15)\/2*(-1)\/5. Sort f, t, 1\/2.\nAnswer: f, 1\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 958*g - 125. Is w(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 10) to base 12.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*q**2 - 3*q**5 + 7*q**5 + q + 3*q**2 wrt q?\nAnswer: 80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-9)*(8 - 11)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 9*b**2 + 3*b**2 + b**2. Suppose 2*y + 5*g + 4 = 7*g, -5*y = -4*g + 5. Let i(u) = u**2 - 3*u + y*u. Calculate r(i(m)).\nAnswer: 13*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -222013 + -20?\nAnswer: -222033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 - 8 + 8 - c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4635, 4573, 4511, 4449, 4387, 4325?\n\"Answer: -62*u + 4697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 262296.2s?\nAnswer: 262296200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1004189?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3598 is divided by 599.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7514 and 983008.\nAnswer: 16711136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 3*w + 590. Suppose 3*v = -11*s + 9*s + 563, -s + 3*v = -w. What are the prime factors of s?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -62, -60, -58, -56, -54?\n\"Answer: 2*g - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 690*d + 709. Determine h(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 887 or 889?\nAnswer: 887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3068 = p + 3069 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39742 and 5128?\nAnswer: 158968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 4*h + 3*h)*(34*h**4 - 102*h**4 + 53*h**4).\nAnswer: -45*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 5*p**8\/84 - 59*p**7\/42 + 313*p**6\/24 - 343*p**5\/6 + 280*p**4\/3 + 400*p**3\/3 - 2269*p**2. Determine h, given that q(h) = 0.\nAnswer: -1\/4, 2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 - 28 + 50 + 7*u as x*u + a and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8385, 33283, 74693, 132615, 207049?\n\"Answer: 8256*y**2 + 130*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7615.225mm?\nAnswer: 0.007615225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8955913 to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4cd3 (base 14) to base 15\nAnswer: -400d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/72 - 34\/(-12). Solve 3*f + 2*f = -3*q - 11, 2*f = l*q - 17 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 minus 13?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 335.8 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -6. Suppose 2*u + 0*u - 14 = 0. Suppose -b*z - 2 + u = 0. Which is smaller: 0.1 or z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*p + 0)*(816 - 5*p + 836 - 1683)*(1 + 2 - 2)*(-4 + 0 + 5)*(-5 + 10 + 3).\nAnswer: -80*p**2 - 496*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1948, -1946, -1944, -1942, -1940, -1938?\nAnswer: -1936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -14. Let s be 5\/(-2)*24\/(-20). Let t(a) = -a + 4. Let k(q) = 3*q - 9. Give s*k(b) + x*t(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - (9 + 17)) + 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/3, -0.2, -1\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2343 - -2371. Sort v, 4, 20 in descending order.\nAnswer: v, 20, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11371000 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-65)\/(-130)*292\/18892 and -95\/14?\nAnswer: 66122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 0 - 1\/12*n**4 - n**2 + 0*n + 2\/3*n**3 + 1\/60*n**5. What is the remainder when 34 is divided by q(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66540 = -28*f + 915392. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/888595 and -121\/3298134?\nAnswer: 709098810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p**2 - 6*p. Suppose -i + 5*q = 20, -2*q - 68 = 4*i + 12. Let f be (-40)\/(-7) + i\/(-70). Let w(y) = -6*y**2 - 5*y. Calculate f*w(n) - 5*c(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 918, 1171, 1424, 1677?\n\"Answer: 253*c + 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/18*-3)\/((-8)\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1946.87 rounded to the nearest ten?\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 923?\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 2*b + 10. Let z = -43 + 43. Let s be f(z). Calculate the greatest common divisor of 230 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/26, 430, 4 in descending order.\nAnswer: 430, 4, 1\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (40\/14)\/(18\/63). Let l be (-10)\/(-3)*156\/g. Let x = l - 35. Calculate the greatest common divisor of x and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4 - 16991*t**3 + 16990*t**2 = 0. Calculate t.\nAnswer: 0, 1, 16990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1300) + -2 + -2 - (0 + sqrt(1300) + 0))**2*-5*-2.\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 770, 910, 1050, 1190?\nAnswer: 1330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55883784767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45.016 + -45. Let c = -24.016 + g. Let h = 10 - 11. Are h and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 8*b**2 + 6. Let y be x(8). Let v be (-27)\/y + 5\/10. Let j = v - -6. Solve j*z = -2*z - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 9 + 6)*(-1 + 1 + 2)*(l + 2 - 2).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -7) + -3 + (-1 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1631b5 - 5?\nAnswer: 1631b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-80)\/(-52))\/5)\/(288\/624). Factor 2 - m*s**2 - 4\/3*s.\nAnswer: -2*(s - 1)*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p - 258 + 258 + p**3.\nAnswer: p**3 + 21*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28139*q**3 - 2*q**2.\nAnswer: q**2*(28139*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 3. Let o(y) = 3*y - 4. Let z be o(b). Calculate the highest common divisor of 40 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f - 4*f + f)*(270*f**3 - 15*f**3 - 34*f**3).\nAnswer: -2431*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -3*j - 2, -5*j + 1934*y - 1935*y = -1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + -4 + sqrt(2057) - (-1 + 1*sqrt(2057)))**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 1587*y**2 - 839523*y + 148035889.\nAnswer: -(y - 529)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -15639029016?\nAnswer: 15639029020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201a87 (base 13) to base 8.\nAnswer: 2662130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -196428017 rounded to the nearest one hundred thousand?\nAnswer: -196400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-1 + 2) + -8. Suppose 0*d - 2*d + 4 = 0. Let m(y) = -y - 2 - 2 + 5 - 5. Let h(o) = -1. Give d*m(a) + q*h(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43418686?\nAnswer: 2, 19, 37, 30881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - g + 190 = 3*g, -305 = -3*m + 4*g. Suppose -3*o = -4*o. Let l be -2 - 26\/(-2 + o). Calculate the greatest common factor of m and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 203, 210, 217?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3608 + 4869. List the prime factors of u.\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 1)*-1 + -5 + -4)**2 - -2*sqrt(42)\/(sqrt(864)*-2 - sqrt(864)).\nAnswer: 359*sqrt(7)\/18 + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - 19*p + 8. Let x be h(9). Let k = 65 - 61.9. Let o = k - 0.1. What is the nearest to x in o, 1\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 1 + 4*g - 2*g + g - 4*g. Let b(n) = -n. Let i be 8\/(-28) - (-32)\/14. Let t = -112 + 111. What is i*h(l) + t*b(l)?\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16268?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*i - 10 = 15, -25 = -3*z + 5*i. Let r be (-2)\/(-13) + (-168)\/(-260). Which is the biggest value? (a) -5 (b) z (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 3505?\nAnswer: 2\/3505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, b: 1, i: 8, o: 1, k: 3}. What is prob of sequence boz?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/30 - 35\/((-3500)\/(-80)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*sqrt(204)*-5 - (sqrt(204)*-1*4 - sqrt(204))))\/((sqrt(120)\/(sqrt(10) + sqrt(10) + sqrt(10)*3) - sqrt(12)) + sqrt(60)\/(-3*sqrt(5))).\nAnswer: -600*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 34 = -0*z - 5*z, 5*z + 10 = 5*y. Let m = 54 - 70. Let k be (m\/40)\/(1 - (2 + -2)). What is the biggest value in z, k, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.46 - -0.06. Let j be (-864)\/66 - -4 - -9. Which is the biggest value? (a) 0.5 (b) x (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppeeepwppppwpppppppp. What is prob of picking 1 p and 2 e?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4181*q - 891*q - 40067 + 101892 + 66485 = 0 for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.00355616 from 3.0439409.\nAnswer: 3.04749706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 417, 1827, 4171, 7443, 11637, 16747, 22767?\n\"Answer: -p**3 + 473*p**2 - 2*p - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/51)\/(((-5)\/5)\/(-10 - -7)). Which is the fourth smallest value? (a) -1\/12 (b) -0.8 (c) -1 (d) t (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 + 10 + -11)\/1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -1234\nAnswer: -370.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f. Let z(y) = 108800*y. Determine h(z(k)).\nAnswer: -108800*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2 - 2 = 0. Are 1\/21 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -255, -536, -819, -1104, -1391, -1680?\n\"Answer: -y**2 - 278*y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 9*m + 2. Let w = 1 + -8. Let n be i(w). Let x be 0*(-2)\/n*3. Solve -5*k - 3*j = 11, k + 5*j + x = -11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 14. Which is the third biggest value? (a) f (b) -5 (c) 1\/15 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 8:14 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -22. Solve -a + 3 = -4*s - s, 0 = -2*s - 2*a + u for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1610 - -6353. Suppose 5*j - c - 1857 = 0. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**5\/9 - 100*l**4 - 892*l**3\/3 - 2668*l**2\/9 - 296*l\/3.\nAnswer: -4*l*(l + 1)**3*(l + 222)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 36\/9) + (2 - 2). What is the fourth biggest value in -0.1, 10, -0.5, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*o - 1916120 = -79*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/227840 and 97\/8.\nAnswer: 227840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 38 = -2*y, 3*z + 22*y = 26*y + 2. Which is bigger: -8 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/362?\nAnswer: 3\/362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -28*p + 1. Let n(u) be the first derivative of 0*u + 0*u**2 - 9 + 2\/3*u**3. What is o(n(b))?\nAnswer: -56*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.5 (c) -2\/9 (d) -907\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 14*m - 10*m + 1788 = 0, -601 = -f + 3*m. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 + 67. Suppose 2*n - k = -2*h + 6*n, -n - 110 = -5*h. List the prime factors of h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*h**3*s - 4595*h**3 + 67*h*s wrt s?\nAnswer: -17*h**3 + 67*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + sqrt(76)*2)**2 + ((sqrt(171) - (sqrt(171) + sqrt(171) + 1)*-1) + (sqrt(171) - (6*(sqrt(171) + sqrt(171) + 1) - sqrt(171))))**2.\nAnswer: 194*sqrt(19) + 8715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/5, 4\/7, -0.32?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2556.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25067634, 25067637, 25067640, 25067643?\n\"Answer: 3*u + 25067631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2479287 divided by 1.\nAnswer: -2479287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**1)**40\/((v\/v**(-2\/7))\/v)**(-8\/5))\/(v\/v**(-3\/7)*v*v\/(v**(-5\/6)\/v)*v**(1\/4)*v\/v**(-2)) assuming v is positive.\nAnswer: v**(30217\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2848 - -4193?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20201 + -12?\nAnswer: 20123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, y: 4, n: 6}. Give prob of picking 2 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - o**2. Let r be l(0). Let a(v) = v**2 + 18*v + 256. Let s(u) = -5*u**2 - 80*u - 1025. Let q(y) = 9*a(y) + 2*s(y). Is q(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114439 and 3063444.\nAnswer: 39824772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2 + 26. Let a be 1\/(-6) + (-7732)\/s. Suppose l + 4*t - 196 = -t, 2*l - 4*t = a. Calculate the highest common divisor of l and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 11:49 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 696417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -70, -166, -258, -346?\n\"Answer: 2*m**2 - 102*m + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1201102000220 (base 3) to base 7\nAnswer: 10523103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 11 = -3*n, 4*r = n - 11 + 26. Let a be ((-1)\/(-2))\/((-2)\/(-12)). Let g = a - -6. Calculate the greatest common divisor of n and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 10 - (-62 - -49) - (-13 + -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22493209 by -3.\nAnswer: 22493209\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 2:17 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 48 = -d. Solve 0 = w - 4 + d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15596 divide 6451472552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -1\/6 (b) -0.3 (c) 1\/4 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2121012100011 - 10?\nAnswer: 2121012100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*m - 450 = -171*m + 55*m + 53*m + 25*a, 0 = 3*m - 2*a - 36 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*(-1276)\/(-435) - -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, v: 1, k: 5, s: 4}. Give prob of picking 4 k.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 7 + 2690*y - 2691*y + y**2 to the form k*y**2 + w + o*y and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/38460 and 73\/2770.\nAnswer: 10653420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 13*q**2 - 23*q + 12. Give g(-11).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*u + 2*c + 35, -2*c = 2*u. Suppose -6*m + 4 = -u*m. Suppose 0*z + 5 = -z. Put z, m, 2\/17 in ascending order.\nAnswer: z, 2\/17, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**4\/8 - 14646*x**3 - 5747661*x**2\/8 - 15133635*x\/4 = 0. Calculate x.\nAnswer: -43, -6, 0, 39105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/63)\/(6\/234). Which is smaller: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -12*l + 7. Let a be n(5). Let u = 59 + a. Solve 0*v - 5*v + c = u, 3*v - 4*c + 7 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4457884829.\nAnswer: 197, 22628857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 351021740 to the power of 1\/2, to the nearest integer?\nAnswer: 18736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24 and -29.4687.\nAnswer: -707.2488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**4 + 1 - 1 + (j**3 - j + j)*(j - 2*j + 2*j) + j**4 - j**4 + 2*j**4 + (4*j**3 + 0*j**3 - 2*j**3)*(3*j - 3*j - 2*j) - 231939 + 231939 - 3581*j**4.\nAnswer: -3580*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41007551 and 10235?\nAnswer: 205037755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -42\/5 smaller than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9211775*j - 4210823.\nAnswer: -9211775","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 311747512 to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 54\/621 - (-330)\/(-621). What is the third biggest value in -4, b, -3, 0.064?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*f - 28*f = 28*f + 828 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 314 = 3*o. Suppose -4*y = 4*p + y - o, 3*p = y + 94. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 7:40 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/152 and 83\/4674.\nAnswer: 18696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5940001468*i - 5940001468*i - 4*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - (-13 + 24) - (-13 - -19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 84961507?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 1)*(2884*b + 1000993 - 1000993) to x*b + n and give x.\nAnswer: 2884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25315 - 16635 = 1192*c - 7382 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((150\/(-9))\/10)\/(75\/(-15))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 17?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.06 + -0.06. Let p = -512.480016 + 516.48. Let u = p - h. Round u to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.53 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/11 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 + 80 - (-37 + -26 + 31 - -40).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4\/3 - 6\/5. Let v = 0 + 5. What is the nearest to -1 in 0, v, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - j**2 - j + 1. Let c be k(1). Let b(v) = -v**2 + v + 48. What are the prime factors of b(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79504*k**6 + 31*k**4 - 1638*k**2 + 237 wrt k?\nAnswer: 9540480*k**3 + 744*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 659 from 0.6.\nAnswer: -658.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2252, 1.4, -1, 63, 2\/23 in decreasing order.\nAnswer: 2252, 63, 1.4, 0.1, 2\/23, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(3\/8)\/x**(4\/9)*(x*x**(-3\/7))\/(x*x**5*x)*(x\/(x\/(x*x**4*x)))\/((x**(-2\/7)\/x)\/x)*(x\/(x*x*x*x*(x\/x**(-4)*x)\/x))\/x**(-2\/25) assuming x is positive.\nAnswer: x**(-77267\/12600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 16. Let x be i\/(-1 - 244\/(-252)). Let u be 140\/x - (-2 - 0). Is u at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15032 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 (base 13) in base 9?\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 206 + -58 + -115 + 9?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -22*u**4 + u**3 - 13*u**2 + 10. Let q(x) = -44*x**4 + 2*x**3 - 26*x**2 + 21. Let h(i) = 13*g(i) - 6*q(i). What is the third derivative of h(w) wrt w?\nAnswer: -528*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*i - 3*s + 11, -i - 3*s + 5 = 0. Suppose 0*j = -i*j + 8. Suppose -2*d = j*d + 606. What is d rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*-33*4\/18*-3. Let v = -39 - t. Solve -4*f - 1 = -v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - -20. Let m(u) be the first derivative of -58*u**2 + 30*u**2 + p*u**2 - 12*u - 11. Differentiate m(r) wrt r.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 81*v + 1002. Calculate w(-61).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1131993 + 231032. Let s = r + 900838.9894. Let k = s - -122. Round k to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**5\/10 + 2*c**4\/3 + 28*c**3\/3 + 32*c**2 - 288*c. Solve a(x) = 0.\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 15 = 3*t - 1, -2*k - 4 = 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, n: 12}. What is prob of picking 4 o?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 + -0.23. Let f = 0.08 - 4.08. Which is the nearest to 2\/5? (a) f (b) j (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + (1 + sqrt(192)*2)**2.\nAnswer: 40*sqrt(3) + 769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52650 and 120.\nAnswer: 210600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4 = -2*l, 0*q + 4 = 4*q + 2*l. Solve q = -5*z + 2*z - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**5\/30 + p**4\/24 + p**3\/3 - p**2. Let q(u) be the first derivative of t(u). What is the units digit of q(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3 - 13 = 0. Let a(m) = -m + 1. Let j(o) = 3*o + 5. Let p(w) = v*a(w) - j(w). Find the first derivative of p(y) wrt y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 16 - (-35 - -6 - 10).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 9:49 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*((-40)\/(-3))\/4. Suppose -10 = -y*b + 5*b. Solve -b*n + 5*r + 7 = 0, -n - 6 = 3*r + 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 8*u**2 + 2*u + 10. Let d be o(14). Let f = -1545 - d. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*p - 90*p**3 - 790*p**3 - 5914 - 2*p**2 - 442 - 709 wrt p?\nAnswer: -2640*p**2 - 4*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**4\/16 - c**3 + 31*c**2\/8 + 21*c\/2 - 983. Factor u(s).\nAnswer: -(s - 3)*(s + 1)*(s + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 849001.6 tonnes in grams?\nAnswer: 849001600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 12021000?\nAnswer: 12020222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 4*(5*sqrt(2299)*3 + -2 + sqrt(2299) + 2)*-4 + -1)*1)**2.\nAnswer: 5632*sqrt(19) + 150667265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 400 by 5.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -137514.42 and 5.\nAnswer: -687572.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-1)\/k))\/k**(-1\/8))\/((k\/(k*k**(1\/13)))\/k*k*k**(-10)\/k) assuming k is positive.\nAnswer: k**(1477\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 282*o - 281*o - 4.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3282 is divided by 1544?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 6:59 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 0, 2, -574, -220, -5 in ascending order.\nAnswer: -574, -220, -5, 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*n*z**3 - 2*n*z**2 - 2*n*z + 4*n - 76*z**3 - z**2 - 438*z wrt z.\nAnswer: -60*n*z - 4*n - 456*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -6. Suppose -3*n - 4*p = -2*n + 8, -b*n - p = 17. Let q be (3\/1 + n)\/(-1). Calculate the greatest common factor of 11 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306919897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93925113 divided by -551.\nAnswer: 170463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 260092187 or 1?\nAnswer: 260092187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide (567\/45 + -11)\/(4\/1310)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 187863 and 1014?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 75634 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: Suppose -3*d = -3*z + 12, -1 = 5*z + d - 3. Suppose -2*m - z = -7. What are the prime factors of (-256)\/(-6) - m\/(-9)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7760945 milliseconds in seconds?\nAnswer: 0.0007760945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/2 (b) -0.5 (c) -0.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-318)\/30 + 4\/(-10). Let v = -6 - n. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + (2 - (7 + -3)). Put h, -13, -2, 6 in descending order.\nAnswer: 6, h, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 2*2 + -2. Let p = -94 - -89. Which is the nearest to 1\/3? (a) s (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = a + 5*a. Calculate the least common multiple of a and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - s = -1 - 1, 2*s - 4 = 4*c. Suppose c*q = -4*q + 36. Suppose 2*d - 23 = -0*r + 5*r, r = -d + 1. Solve d*z = z + q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5\/2 (b) -13393 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*v + 4. Does 3 divide (-14)\/v*(1 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 5*q**2\/2 - 65*q - 1519. Let l(x) = -x**2. Determine l(r(a)).\nAnswer: -25*a**2 + 650*a - 4225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13942\/41 or -339?\nAnswer: -13942\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 7*y = -2*y - 56, 5*t = 5*y + 115. Let a = -71 - -165. What is the remainder when a is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z**3 + 9*z**3 - 2*z**3)*(4303 + 5282 + 367 - 1804 + 4965 - 348) to f*z + y*z**2 + k + a*z**3 and give a.\nAnswer: 114885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 2, g: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191245.\nAnswer: 5, 23, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 161*t + 496. What is b(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-14)*1\/18)\/((-2)\/3).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 13*r**2 + 2*r. Let x be f(1). Let k be x\/(-3)*(-4)\/5. Suppose -5*h + 4*u + k = -0*u, 4*h + 2*u = 24. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311982 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 1993*w**2 + 38230*w - 43. Determine k(19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1031601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 10. Suppose -2*b = -3*b + 42. Calculate the greatest common divisor of b and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 174*c**2 + 4*c + 35. Is f(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -40104, -40106, -40108, -40110, -40112?\n\"Answer: -2*a - 40102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 300 and 63651300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 8 = 4*x. Let i be 66\/36 + x\/(-12). Solve i = -2*s - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/8*6*(-4)\/(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (43 - -21) + -33 - -5?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 319541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 30*p**2 + 50*p - 4. Let l be d(32). Let w be (-5)\/2070*l - (-4)\/(-18). Is 0 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.1 and -185.\nAnswer: -182.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 723, 993, -12 in decreasing order.\nAnswer: 993, 723, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -136, -267, -502, -847, -1308?\n\"Answer: -s**3 - 46*s**2 + 14*s - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d + 1 - 4*d + 2*d. Let y(v) = -5*v - 2. Give 2*i(n) + y(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 55, 3\/11, -132278 in descending order.\nAnswer: 55, 3\/11, 0, -132278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5847877*g - 6004 = -5847798*g for g.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -53417 divided by 91?\nAnswer: -587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4448*i**4 + 1552 - 703 + 316 + 1584 - 184 wrt i?\nAnswer: -17792*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 374 - 276. What is the remainder when 283 is divided by h?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203689 rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.714 - -745.286. Let m = 757 - k. Sort 1\/3, -1\/5, 5\/3, m in ascending order.\nAnswer: -1\/5, 1\/3, 5\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4 = -l. Let c = l + -1. Suppose -4*w + 0*w - 2*p = -8, -3*p + 12 = w. Are w and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34014 (base 6) to base 15\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f + 30 = -11*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-21)*j)*j*j**(5\/7)\/j*(j\/j**(8\/7))\/(((j*j\/(j*j**(-15\/4))*j)\/j)\/j))**17 assuming j is positive.\nAnswer: j**(8483\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -367, -806, -1245, -1684, -2123?\nAnswer: -2562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*m - 3*m - 6, -4 = 4*m - 3*a. Let c(b) = m*b - b**3 - 2*b + 8*b**2 - 7. Does 21 divide c(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.043 - 0.037. Which is the nearest to -3\/10? (a) 2\/11 (b) -4\/7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-56))\/(3\/(-2))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116414473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 981.2 to the nearest ten.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4\/r)\/r**2*r\/r**0*r\/(r**(-1)\/r)*r*(r**(1\/2))**(17\/4)*(r\/r**1)\/r**(-6\/11) assuming r is positive.\nAnswer: r**(763\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.547 - -20.27912.\nAnswer: 18.73212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + dc467a5?\nAnswer: dc467a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + -29. Suppose f = 8*g - 49 - 15. Differentiate g*d**4 + 24*d**4 - 36 - 49*d + 49*d with respect to d.\nAnswer: 128*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*-1*-6 + sqrt(132) - sqrt(132) - -4*2*sqrt(132))\/((sqrt(432)\/(sqrt(24)\/sqrt(2)))\/sqrt(243)).\nAnswer: 126*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 + 50*j**2 - 115*j + 70.\nAnswer: -5*(j - 7)*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 93 - 74 - 891\/(-9)\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/(8 + -4) - 0)*66. Suppose -8*j - 14*j + w = 0. Solve r = -2*r - j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2*-1)\/(2 - 8\/6). Sort l, -1, 0.\nAnswer: l, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**4 + 6*r**3 - 43*r**3 + 10*r**2 + 10*r**3 - 23*r**2 + 13*r**3 = 0.\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.45*13500920.\nAnswer: 6075414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 4) in base 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*n = 0, 3*t - 2*n + 3 = 7. Let s be t - ((-45)\/3 - -1). Let v(i) = -2 + s*i + 2 - 13*i. Let a(o) = 2*o. Determine v(a(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express c - 7 + c + 5 - c**3 + 4 in the form s + d*c**3 + h*c + n*c**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 892926?\nAnswer: 2, 3, 113, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 6*d**3 + 6*d - 17. Let c(j) = -12*j**3 - 13*j + 34. Let w(x) = 6*c(x) + 13*i(x). Differentiate w(g) with respect to g.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*r - 20, -w - 4*r = -3*r - 6. Let q(c) be the second derivative of c**4\/12 - 2*c**3\/3 - 5*c**2\/2 + 12*c. Give q(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 1\/3, 0, -21, 5, -0.4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 851 - 879 - (-26 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/18*15\/60?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/3 and 34\/5211.\nAnswer: 5211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 2523?\nAnswer: -2525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 311656.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -12314.\nAnswer: 24628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -209 + 396. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 5, -3, 263 in ascending order.\nAnswer: -3, 5, 24, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**2 - 43*m - 7. Let q(j) = j**2 + 22*j + 3. Let g = 307 + -304. Let u(a) = g*c(a) + 7*q(a). Let y(t) = t. Calculate u(y(i)).\nAnswer: -2*i**2 + 25*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 - 4*o**3 - 7*o**2 + 10*o.\nAnswer: o*(o - 5)*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4845078 greater than 4845083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3288459.\nAnswer: 3, 101, 10853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 e when three letters picked without replacement from {y: 1, e: 2, l: 2, x: 1, v: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305191996.\nAnswer: 2, 83, 919253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35203416 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -109 + 127. Suppose -2*g + 4*p + v = 0, -2*g + p = 7 - 28. Let q(l) = 21*l**2 + l**2 + g*l + 16*l**2 - 9*l. Let x(m) = -2*m**2. What is x(q(b))?\nAnswer: -2888*b**4 - 304*b**3 - 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 1\/4 (c) -13 (d) -61 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6*9*30\/(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*q - 81 - 0. Solve 4*t - 3*n = -14, -n = -q*t + 2*n - 9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 5:35 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - d**2 + 4*d + 3. Let r be 3\/(-9) + (-4 - 507\/(-9)). Let x = r + -54. Give j(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97830.\nAnswer: 2, 3, 5, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -508 = 25*c - 858. Solve g - 9 + c = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4327 = 3*h - h - 4095. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1427\/77 + 207\/11. What is the biggest value in n, -0.2, -20, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 61445*h + 5944800.\nAnswer: -5*(h - 96)*(h + 12385)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -108781061 > -108781060?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (4 + -9 + 5 + 6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18948 = 169*n - 26046 for n.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 564\/(-235)*(-1 + (-34)\/(-44)). Factor -2\/11*h**2 - q*h - 4\/11.\nAnswer: -2*(h + 1)*(h + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**3*m**2 - 3*f*m**3 - 181*f + 675*m**3 with respect to f.\nAnswer: 6*f**2*m**2 - 3*m**3 - 181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -3 - (33 - 23)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + 24. Suppose -z - 200 = 4*i, w = -2*i + z - 57. Is 7 a factor of ((-36)\/(-21))\/((-2)\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 3:50 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (-3*-1*sqrt(931) + 6*(-1 + sqrt(931)) - ((sqrt(931) - (sqrt(931) + 0)) + -3 - (-3 + (sqrt(931) - -2*sqrt(931))))) + 0)*3)**2.\nAnswer: -4536*sqrt(19) + 1206657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -31979 less than -26769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 7:39 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 201.523\nAnswer: -604.569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -25, -24, -37, -70, -129?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111 + 221\/2. Let q = -0.2 + 0.2. Which is the closest to 2\/3? (a) m (b) q (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 10*i - 9*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r - 3. Let h be (-3)\/(-2) - 3\/(-6). Let p be q(h). Solve -u - 5 = -3*l, -p*l + u - 5 = 6*u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -25*i**2 + 114*i - 636. Give z(5).\nAnswer: -691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -996, -1980, -2956, -3924, -4884?\nAnswer: -5836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 128\/224*10\/(-4)*((-196)\/7)\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 9*b**2 - b - 7. Calculate i(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.4 - -2. Let h = y + 0.5. Let u be -3*1 + 2\/(414\/639). Which is the second smallest value? (a) -3\/2 (b) u (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*s**3 + 588*s**2 - 2992*s + 1104.\nAnswer: -4*(s - 23)*(s - 6)*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-6*sqrt(171)*2 - sqrt(171))**2 + 0).\nAnswer: -144495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01258857898 rounded to six decimal places?\nAnswer: -0.012589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (2 + -5 + (7 - 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -578*g + 1732. Let o be t(3). Suppose 0 = 6*f - 2*f - 12. Let j(x) = 4*x**2 + 2. Let v(p) = 0 - 1 + 4 + 5*p**2. Determine f*j(h) + o*v(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 6*w - 1934630 = -12*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -13 + 719*u - 718*u + 39. Let g be i(-24). Solve 0 = -3*j + 9, l = -3*j + g + 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ucc when three letters picked without replacement from {u: 2, c: 2, g: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 9*j - 52. Let i be t(6). Let c be ((-180003)\/i)\/((-21)\/(-42)). Let z be ((-416)\/12)\/(1 - c\/(-180000)). What is z rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*f*f*f**(-1)*f))**(4\/9)*(f**(-1\/2)*f)**(-33\/7)*(f**4*f\/(f*f*f\/f**6*f))\/(f\/(f\/(f*f**(2\/25)))*f\/f**5) assuming f is positive.\nAnswer: f**(6541\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -179263 or -179261?\nAnswer: -179261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -516205 by -103241.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 22*x. Let y(l) be the first derivative of l**2\/2 - 10. Give n(y(o)).\nAnswer: 22*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 86*x + 15. Let r(s) = 194*s + 29. Let k(o) = 9*j(o) - 4*r(o). Let t(v) = 3*v**2 + 4*v**2 - 8*v**2. Give t(k(m)).\nAnswer: -4*m**2 + 76*m - 361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 3*z + 4491, 3*j - z = z + 4491. Suppose 2*o + j = 5*o. Suppose 3*q - o = 581. Round q to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6344?\nAnswer: 2, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(80\/(-108))*(-4)\/(-6))\/((-120)\/(-240))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - -2*sqrt(132))\/sqrt(11))\/sqrt(4) + (-2*sqrt(300))**2 + sqrt(3) + sqrt(6)\/sqrt(2) + 4.\nAnswer: 5*sqrt(3) + 1204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, c: 3, v: 3, g: 1, o: 2, y: 1}. What is prob of sequence yo?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.073 - -1.89. Let h = i - 3.817. Let n = -13\/100 - 3\/25. Which is the second smallest value? (a) 0.5 (b) h (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**6\/1260 - v**5\/420 + v**4\/42 + v**3\/3 - 2*v. Let l(r) be the second derivative of b(r). Factor l(i).\nAnswer: -2*(i - 1)*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -433 + 562. Calculate the greatest common factor of 86 and a.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -59*a - 5349. Let x be s(-91). Solve x*n - 16*n - 2 = o, -o - n + 3 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 18*b - 68. Let w(c) = -2*c**2 - 33. Give w(a(j)).\nAnswer: -648*j**2 + 4896*j - 9281","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - c + 1, 0 = -9*x + 14*x - 4*c + 19 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2619*k**3 + 1056*k**3 - 767*k**3 + 8158*k**3.\nAnswer: 11066*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 34 = -56. Is 41*(5\/(-15)*v - 2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(33\/9 + -3). Is j greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)*-4)\/sqrt(12) + 4.\nAnswer: -4*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 752 and 29396.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/9 + 6105449\/9. Suppose 4*x + 2*c = 2080008, 0 = 2*x - 5*c - 361597 - i. Suppose f + x = -f. What is f rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o - o + 4*o)*(-7*o**2 - 5*o**2 + 15*o - 13*o) to the form a*o + q*o**2 + t*o**3 + d and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1861 - 57.2231. Let q = 57 + c. Round q to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25955 and 290.\nAnswer: 51910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 490105?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 divided by 105.\nAnswer: -94\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c - 6*c**2 + 0*c**2 - 3*c + (-2*c + 0 + 4 + 4*c - c**2)*(8 + 7 - 5) to the form u + w*c + d*c**2 and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -920*d**2 + 49*d - 22*d - 27*d + 992*d**2.\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -80*s**2 - s**2 - 25*s + 3 + 24*s wrt s?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13902 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 9.796, 0, -3, -0.1 in descending order.\nAnswer: 9.796, 0, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 - ((-105)\/(-63))\/((-2)\/30) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-18))\/(248\/(-4464))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {k: 7, m: 5, z: 2}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (11 - -3) - 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16924 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34444586 to the nearest integer?\nAnswer: 5869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 108663688 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 417 and 973.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1.25 (b) 41748 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {y: 8, a: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 39, 47, 67, 105, 167, 259, 387?\n\"Answer: a**3 + a + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69195 = 60*n - 9*n - 911562. What are the prime factors of n?\nAnswer: 83, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -4363.\nAnswer: 1\/4363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1 (b) 0.5 (c) -13997349\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2363 times 47?\nAnswer: 111061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**4\/24 + 5*p**3\/3 + 6*p**2. Let q be h(-8). Suppose -q*j + 12 = 2*j. Solve 2*i + 2*i = -5*w + 33, 0 = 2*w + j*i - 16 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 8*g + 77. Is (g + 0)*265\/(10\/(-2)) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 1, -1\/60 in increasing order.\nAnswer: -1\/60, 0.07, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 338 = 67*g - 2*x, 3*g + 103*x - 105*x + 9 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 20201 (base 3) to base 2\nAnswer: 10110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -639654, -639694, -639748, -639816, -639898, -639994, -640104?\nAnswer: -640228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -192*f**3 + 70*f**2 + 6611*f - 5.\nAnswer: -1152*f + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20574 divided by -6.\nAnswer: -3429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.279516l to millilitres.\nAnswer: 7279.516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 16, -46, 150 in descending order.\nAnswer: 150, 16, 4, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/3 - 8*k - 26\/3.\nAnswer: 2*(k - 13)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1686\/(-9273))\/(3\/(-132))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01 - -0.071. Let c = 0.12 - t. Let v = 0.541 + c. Is v equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from {r: 3, d: 5, h: 3, y: 1, l: 7}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 125, 36 in decreasing order.\nAnswer: 125, 36, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**3 - 375*j**2 + 360*j + 740 = 0. Calculate j.\nAnswer: -1, 2, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1619878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - 1 - -2 - -3. Suppose 6*t - 5*t = j. Solve 15 = -t*s - s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (17 - 1 - (-172 + 180)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**6\/40 - s**4\/16 + s. Solve j(x) = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(24\/3))\/((-4)\/16)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1296 = -35*b - 109*b. Let f(t) = t**2 + 7*t - 12. Calculate f(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/((-32)\/(-8))*(0 - -6). Calculate the highest common factor of 24 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 - 55*v**2 + 30*v + 59. What is n(-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 153098 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: Expand (-w + 2*w + 0*w)*(2*w**2 - w**2 + 0*w**2)*(17*w - 17 + 17).\nAnswer: 17*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8645480*n**5 - 33683183*n**2?\nAnswer: -518728800*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4\/3 + 84*m**3 - 248*m**2 + 740*m\/3 - 82 = 0. What is m?\nAnswer: 1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + 0. Suppose -3 = -3*f - g. Let s = 50 + -349\/7. What is the nearest to 1 in f, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -7*b**5\/30 - 2*b**2. Let l(o) be the second derivative of 5*o**3\/6 - 56*o + 5. Determine j(l(w)).\nAnswer: -350*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s + 10 = -30 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwmmoiimmiooimmii. Give prob of sequence mowo.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + x + 2130, -7*l - 2136 = -9*l + 4*x. Suppose 0 = -16*h - 3*h + l. Calculate the remainder when h is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -1\/21103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 228629974978.\nAnswer: 228629974978.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -63823530 <= -63823530?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 770 + -761. Let o = -81\/2 - -561\/14. What is the nearest to -1\/2 in o, -1\/3, m, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*a = -35, 2 = 3*a + 5. Let n(z) = -5*z - 19. Calculate the remainder when 181 is divided by n(g).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -993 - 45?\nAnswer: -a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -306*a*d*v + 4*a*v - a - 3*d**2*v - d**2 - 2863*v - 1 wrt d.\nAnswer: -306*a*v - 6*d*v - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2954*o - 23716 - 2786 = 84 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -71\/30 (c) 1\/32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -110*i + 114*i - 22 = 2*j, 5*i = -5*j - 25 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001160239 to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 - 6*k + 1. Suppose 9 = 5*t - 11. Let x be s(t). What is the units digit of (6\/x)\/(1\/15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54987 - 338487 = -45*d. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12183 or 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13)\/(-4) - (-2)\/(-8). Solve 5*s + 5*j - 8 = 32, 11 = 4*s - g*j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -9. Let d(m) = 4*m + 3. Let l(c) = -c + 1. Let p(w) = x*d(w) - 5*l(w). Let z(b) = 4*b - 1. Determine 2*p(j) - 5*z(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -35, 10, 7 in descending order.\nAnswer: 10, 7, -2, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 9 + -11 + 5 - 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2602267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 2*j + 4, -165*j + 4*c = -86*j - 82*j + 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8732883 milliseconds to seconds.\nAnswer: 0.0008732883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30115942 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -6. Let x = -803 - -806. Let m be 4\/a - (1 - x). Solve -3*r + 2*v = m*v - 11, 0 = -5*r - 5*v + 15 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1412574 divided by -19\nAnswer: -74346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140223434 (base 5) in base 10?\nAnswer: 2664244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**4 + 0*x**2 + 7183*x - 7185*x - 2*x**2 - 9*x**3 + 1 to the form y*x**3 + w*x**4 + m + k*x + c*x**2 and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/10 and -59\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*b + 16096 = 5444 + 7745 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -10*f + 2. Let t = -8 - -15. Suppose t*d - 8*d + f = 0. Solve d*w = 4*z + 16, -4*w + 15 = -5*z - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6635244 divided by 552937\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 0*j**2 - 2*j - 1\/3*j**3 + 0. Let l(g) be the third derivative of g**4\/12 - 2*g**2. Determine l(c(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/21)\/((o*o**12)\/o)*(o**(1\/7)\/o)**(-26\/7) assuming o is positive.\nAnswer: o**(-1289\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s. Let b(d) = 4*d**2 - 4*d - 4. Let t(p) = -8*p**2 + 9*p + 9. Let a(m) = -9*b(m) - 4*t(m). Determine a(r(c)).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -242 - -241.7. Let w = 9.023 + -0.023. Let v = w + -9. Which is the fourth biggest value? (a) v (b) y (c) 4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-25)\/(-25)*-36 + 38. Let g = -3.5 + 3. Which is the nearest to -0.04? (a) -5 (b) y (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from {m: 1, f: 2, c: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17665, -34834, -52003, -69172, -86341, -103510?\nAnswer: -120679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103447, -413791, -931031, -1655167, -2586199?\nAnswer: -3724127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(192) + -1)*5 - ((sqrt(192) + 2 - sqrt(192))*-1 + (sqrt(192) + -2)*3)**2)*4 + -3.\nAnswer: -7207 + 1696*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 2. Let r be g(5). Let c = -1 + r. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46320?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1406125 divided by -1406125\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (18\/4)\/((-30)\/(-200))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jvjvjbbvv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in 12\/7, 1.2, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 6:17 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 104 = -3*g. Let d = 27 + g. What is the lowest common multiple of 20 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 12:20 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**2 - p - 6. Let y be u(6). Suppose 3*r + 0*r = y. Calculate the greatest common factor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11418 - 456?\nAnswer: 10852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.11 + -0.11. Let r = -5 + z. Let x = 207 + -205. Sort -0.2, r, x in increasing order.\nAnswer: r, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26872*s + 12 = 26869*s + 3*c, 16 = -2*s - 2*c for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, h: 2}. Give prob of sequence ah.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8389 + 9091. Calculate the highest common factor of k and 416.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -156 and -140 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - u + 631271 - 631262, 4*u = 5*k + 62 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9*-0.24634\nAnswer: 2.21706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 18470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4554 + 4562. Put y, 77, -3 in decreasing order.\nAnswer: 77, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 j when three letters picked without replacement from {q: 1, j: 1, c: 7, a: 2, f: 3}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -11 + 1 - (-4 - (-7 + -5 + -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(3*sqrt(225)).\nAnswer: sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1028 - 42 = -12*v + 70*v. Sort -6, -4, 3, v in descending order.\nAnswer: v, 3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -28.5 (b) 570\/569 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**2 + 4*v + 28. What is p(-5)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6a19 + -10?\nAnswer: -6a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**2 + 4*i**2 + i**2)*(12978 + 2828*i - 12978) as z + j*i**3 + q*i**2 + g*i and give j.\nAnswer: 8484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37956160 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 330977768?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - x - 2*x = -4, 32 = 4*t + 4*x. Suppose t*b + 0*b + 6 = -2*m, -4*b - 21 = 5*m. Let n(w) = w**3 + 0 - w**2 + b - 2*w**3. Determine n(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2310 and 322630.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*l = -34*l - 140 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 697645.\nAnswer: 5, 13, 10733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than or equal to -16413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 245734451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.7075 - -0.2625. What is u rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, y: 1}. What is prob of sequence lyy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.00062 and 0.1.\nAnswer: -0.200062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -456 - -1339. Calculate the remainder when r is divided by 31.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k + 37. Let h(j) be the second derivative of -9*j**3 - 7765*j. Calculate h(z(g)).\nAnswer: -108*g - 1998","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10070761 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*l = -15, j - 2*j - 2*l = 5. Let c(r) be the second derivative of -r**3\/6 + 2*r**2 + 35762*r. Give c(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/118 or -2407?\nAnswer: 3\/118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.25462ml to litres.\nAnswer: 0.05125462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -165?\nAnswer: -1\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 0.23, 5.9, 0.037?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332*h + 179*h = -186*h + 1378*h - 135845 for h.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 2:10 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111101102 + 1002?\nAnswer: 111102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19459411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 18*n. Let m(b) = 38175*b. Give m(f(s)).\nAnswer: 687150*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(208) - (-2 + sqrt(208))) + sqrt(208) - (sqrt(13) - ((sqrt(13) + -2)**2 + -3))) + (0 + sqrt(130)\/(sqrt(160) - sqrt(10)) + 1)**2.\nAnswer: -sqrt(13)\/3 + 193\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 4*u**2 - 4*u + 1. Let k be f(3). Let y be 18771\/30030 - k\/(-10). Let h = y - -1\/286. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14468697 (base 10) in base 5?\nAnswer: 12200444242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -119275 - -29706. What is g rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 times 78?\nAnswer: -109.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -262, -263, -264, -265, -266, -267?\nAnswer: -268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 2*f - 1. Let w(h) = 316*h**3 - 2289*h - 5. Let x(o) = 5*i(o) - w(o). What is the second derivative of x(q) wrt q?\nAnswer: -1866*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132000 a multiple of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -814 - 2*j + 20887*j**2 - 10443*j**2 - 10445*j**2 + 0*j.\nAnswer: -j**2 - 2*j - 814","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -189085714, -189085719, -189085728, -189085741, -189085758?\n\"Answer: -2*t**2 + t - 189085713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1941 divide 143048941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = -4*d + 1886. What are the prime factors of d?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qrqqqtqqtqqqqrq?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*x + 34*x + 388 + 148 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 313\/4 (c) -7 (d) 88.6 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 != 191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -112fe7b5 + 3?\nAnswer: -112fe7b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 6:52 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 18*k**2 + 3*k. Let t(w) = 20*w**2. Give s(t(g)).\nAnswer: 7200*g**4 + 60*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2323 divided by -2323.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 325472 divided by 410?\nAnswer: 162736\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1286980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11856 and 81744?\nAnswer: 1553136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -203*d**2 - 52927 + 52927 to the form i*d**2 + w + k*d and give i.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -2*d - 3*d + 19, -2*d = -4*t - 14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(735) - (sqrt(735)*-3 + sqrt(735)))\/sqrt(3) - (-3*(sqrt(720) - (sqrt(720) + -4*(sqrt(720) + 0 + sqrt(720)))))**2.\nAnswer: -414715 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 20. Suppose -t*y = 1 + 3. Let g be (12381\/6 + y)*1600. What is g rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.48 + 0.08. Let k = 0.056 - 19.056. Let j = k + 18.7. Which is the closest to p? (a) j (b) 1\/3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 155 - 119. Calculate the remainder when 96 is divided by z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 201794*x**5 - 14*x**4 - 3*x**2 - 13820584*x wrt x.\nAnswer: 4035880*x**3 - 168*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2321030555 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m**2 + 49*m - 12. Let w(v) = -8*v**2 - 48*v + 15. Determine 4*w(a) + 5*z(a).\nAnswer: 3*a**2 + 53*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 - 36. Suppose 4*x - 1 = -a*m - 8, m - 3 = 0. Let n(q) = -q**3 - 6*q**2 - 5*q - 3. Let u be n(-5). What is the second biggest value in x, u, 6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/7 or -0.6488?\nAnswer: -0.6488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n + 4794*n**3 - 4813*n**3 + 6*n to the form v + f*n**3 + z*n + r*n**2 and give f.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 11749.\nAnswer: -46996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*r + 479*r - 10457 = -2092 for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96026664 and 84.\nAnswer: 672186648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -813258357\/220 - -40397946\/11. Let y = -24094 - l. What is the common denominator of y and (-626)\/112 + (-6)\/21?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(24)*2)\/sqrt(12) + -5 + 6*(((sqrt(128) - (0 + sqrt(128))) + sqrt(128) - sqrt(128))**2 + 2).\nAnswer: 7 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 72 = -4*d, -5*p = d + 41 - 113. Suppose -2*b + 5 = -p. Differentiate -3 - 10*g**2 + 1 + b*g**2 + g**4 with respect to g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w - 5*d - 43 = 0, -3*w = d + 47. Let a be 9 - 9\/((-36)\/w). Solve 3*q + 2*h - h + 1 = 0, -q - 5*h = a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 + 50. What is the remainder when 3 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80205009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 81470 or 81459?\nAnswer: 81470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2\/7 + 173580*p\/7 + 13353808.\nAnswer: -4*(p - 43927)*(p + 532)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, r: 2, a: 3, u: 3}. Give prob of picking 3 f.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -80*j**5 - 680*j**4 - 1845*j**3 - 1760*j**2 - 575*j - 60 = 0. What is j?\nAnswer: -4, -3, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b = -w + 19*b + 44, 0 = 4*w + b - 141. Let r be (-4)\/(-14)*w\/68. Is 1 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -14, -8, 0, 10?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2105 is divided by 509?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -2*c**6\/15 + 9*c**5\/20 + 13*c**4\/6 + 3*c**3\/2 - 2*c**2 - 383*c. Determine p, given that y(p) = 0.\nAnswer: -1, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000071763 rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 0.033, -2\/3?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -624, 1\/4, 1 in descending order.\nAnswer: 1, 1\/4, -624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1290.879m in micrometers?\nAnswer: 1290879000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153847251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 625057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 3*b**2 - 2*b**2)*(-2*b + b + 0*b) - b**3 + b - b + (b - 2 + 2)*(1 - 2*b**2 - 1)*(1 - 1 - 3).\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*504.\nAnswer: -1512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1\/11))\/(i**(1\/10)\/i*i*i))\/(((i*i**5)\/i)\/(i**1*i)) assuming i is positive.\nAnswer: i**(-331\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 22240?\nAnswer: -22241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1038 and -890.\nAnswer: -890.1038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, -364, 213, -4.\nAnswer: -364, -4, 79, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s + 0*s + 5*s + (-1 - 3 + 7)*(s - s + 2*s).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 6 in increasing order.\nAnswer: 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 30*s + 31*s = -98, 230 = 3*z + 5*s. Solve 168*n - 138*n = -z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50649 divided by -16883?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**5 - 179180*l**3 + 794456*l?\nAnswer: 20*l**3 - 1075080*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004959 rounded to five decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4434 + 4432. Sort -1\/4, 2, s, 1, -38.\nAnswer: -38, s, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*h + k, -12 = 2*k + 2*k. Suppose h*p + 224 - 5 = 0. Let o = p + 120. What are the prime factors of o?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (355\/7100)\/((-2)\/1720)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 191 + -167. What are the prime factors of (0 - (-702)\/p)*12?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 172 + -171.8. Sort 0.3, 89, v, 3 in ascending order.\nAnswer: v, 0.3, 3, 89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -12. Let v = 18.49 + 3.11. Let d = -20.6 + v. What is the nearest to -1\/4 in u, -0.7, d?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*h - 71*h - 36 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.07 - -0.07. What is the closest to 0.01 in -2\/5, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 6) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 15*w + 9. Let d be z(-5). Let h = 73 + d. Let n(r) = -r - 8. Give n(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 433.0863 rounded to 1 decimal place?\nAnswer: 433.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 285264589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 8*m + 6. Let h be o(-9). Suppose 4*w = h + 5. Calculate the least common multiple of 7 and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 5 (c) -0.121 (d) 1\/3402\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002554617 to 6 decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216 = -14*b - 331 + 157 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/21*(42 + -27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**2 + 36*s + 135 = 0. Calculate s.\nAnswer: -3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1966781925.\nAnswer: 3, 5, 2913751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1553, 2908, 4101, 5132, 6001?\n\"Answer: -81*v**2 + 1598*v + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l\/(l*l\/(((l*l**1*l)\/l*l)\/l)))\/l)**(-9\/4)\/(l**1)**19)**(-2\/21))**(-3\/23) assuming l is positive.\nAnswer: l**(-85\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c**3 + 3*c - 4. Let v be z(-3). Is (-7)\/((-14)\/4) + v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*c, -o + 11697 = -4*c - 11438. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2301336, -4602695, -6904054, -9205413, -11506772?\n\"Answer: -2301359*u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10262832 a multiple of 1262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1128*m**3 + 1271*m**2 - 2*m**3 - 156*m**3 wrt m.\nAnswer: 5820","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-3)\/18)\/((-59)\/(-177)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 288237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x = -84. What is the tens digit of 4\/(3 - 7) - x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 112 - -45. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2\/z**7)\/(z**(-8\/5)\/(z\/(z\/z**(2\/11)))) assuming z is positive.\nAnswer: z**(-177\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 2*v + 9, 3*h = 5*v + 50 - 28 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -125, -118, -103, -74, -25, 50?\n\"Answer: k**3 - 2*k**2 + 6*k - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.56 - 0.44. Let j = -3.35 - 0.05. Let s = -3 - j. Which is the closest to -0.2? (a) q (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = v - 24. Let t = v - 4. Calculate the lowest common multiple of 5 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -156710, -626800, -1410274, -2507132, -3917374, -5641000?\n\"Answer: -156692*f**2 - 14*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -32, -36, -56, -104, -192, -332, -536?\n\"Answer: -2*k**3 + 4*k**2 - 2*k - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-10 + (-4)\/(-2). Let h = -1526.192 - -1526.392. Let g = -101\/42 - -11\/6. What is the second biggest value in h, v, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -7)*(-4)\/(-10). Let w be 2\/4*(b - -2). Let m = w + 2. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 h, and 2 o when four letters picked without replacement from {h: 4, j: 7, o: 6, k: 1}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-867 + 183 + 199 + 249)*(4*s - s - 6*s).\nAnswer: 708*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-208)\/220324*1254\/(-132).\nAnswer: 2\/223","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3 - k + 0 + 2 + 4*k. Let p be r(1). Suppose -3*c - a + 1 = 0, p*a = -4*c - 0*a. What is the highest common divisor of c and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 11:45 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/35, 0, -19, 5, -23\/3, 3, 1\/2.\nAnswer: -19, -23\/3, 0, 2\/35, 1\/2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 7162*x**2 - 7191*x**2 + 10*x + 4*x**3 - 32 + 32 in the form y*x**3 + q + u*x + m*x**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p - 4 + 4)*(-2 - 5720*p + 4877*p + 2 + 21198*p + 12291*p) to the form r*p + t + k*p**2 and give k.\nAnswer: -32646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31*z**3 + 5*z**2 + 13151*z + 21937146?\nAnswer: 93*z**2 + 10*z + 13151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -18. Let y(f) = -f**2 - 8*f - 12. Let b be y(p). Let o be (0 + 1\/b)*(-3 - -9). Solve -s + 1 = -l, o*s - 3*l = -2*s + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/28 - 303\/7. Let m = -4 - i. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52905 is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*n**2 - 27029*n**3 - 301*n**2 + 605*n**2.\nAnswer: -27029*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 90?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 118829 and 1263321?\nAnswer: 418159251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3565 and -1.85?\nAnswer: -6595.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 9*y**2 + 8*y - 20. Let b be g(-10). Let h(p) be the third derivative of 0 - 3\/2*p**3 + 0*p + 34*p**2 - 1\/60*p**5 + 0*p**4. What is h(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-708 - 3523 + 726 - 1192 - 2504)*(-3*y + 2*y + 3*y).\nAnswer: -14402*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/12*826\/(-5487)*12\/(-14).\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-9))\/((-6)\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66309 - -14036.01.\nAnswer: 80345.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 13*f**2 + 15*f - 40. Let b(n) = 33*n - 2298. Let o be b(70). Determine x(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + q + 3135 - 293 = 0, -5*f = -5*q - 4720. Let u = 4 + -8. What are the prime factors of f\/26 - (-6)\/u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 40*u + 285. What is z(46)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (19 - -1) + (24\/48)\/((-1)\/(-14)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - 0\/(-1) - -4. Suppose c = g*c + 4. Is -0.2 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 85 = -93. Is c a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, -220\/1877, 0.159?\nAnswer: -220\/1877","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**2 - 303*z - 228390 = 0. What is z?\nAnswer: -230, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.23? (a) 0.5 (b) -1 (c) 0.74122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-90)\/(-24)*((-110)\/30 - (-3)\/2) and 43\/(-2) + (-2)\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 825*r**4 - 444*r wrt r.\nAnswer: 9900*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-189*d + 206*d + 175*d + 659*d)*(-4 + 2 + 4) to h + m*d and give m.\nAnswer: 1702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 4*y + 3*h + 18, 0*y - y + 77*h - 44 = 61*h for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5532.11 - -5532. Which is the fifth biggest value? (a) 2 (b) -0.3 (c) -1\/3 (d) g (e) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0218 + 17292.3519\nAnswer: 17292.3737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*g + 3, r + 3*g + 4 = 19. Solve -7 + r = 2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76 - 61. Let y(v) = -4*v**3 - v**2 - 2. Calculate the remainder when y(-2) is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from fxifliiliifx?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 + 3*p - 2. Let j(t) be the second derivative of -t**4\/3 - 7*t**3\/6 + 2*t**2 - 1792*t. Give 6*j(q) + 13*w(q).\nAnswer: 2*q**2 - 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -130*k**4 + 77*k**4 - 202*k**4 + (2*k**4 + k**4 - 2*k**4)*(1 - 2 - 2)*(5 - 2 - 1)*(3 + 1 + 2).\nAnswer: -291*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 589, 1181, 1773, 2365, 2957, 3549?\nAnswer: 4141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*z = -2*z - 13, -2*z = 10. Let x(k) = -k**3 - 8*k**2 - 13*k - 9. Let i be x(l). Does 6 divide ((39\/2)\/i)\/((-3)\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**6\/120 - p**5\/10 - 3*p**4\/8 + 7*p**3\/6 + 3*p**2 + 1. Give j(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 52 = -55, -o - 21 = h for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 19\/20*z**2 + 4\/15*z**3 + 3\/5*z - 33. Determine j so that s(j) = 0.\nAnswer: -2, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1216)*1 - sqrt(1216))**2 + ((sqrt(1216) + sqrt(1216)*1)*3)**2 - (1*-1*sqrt(1216) + sqrt(1216)*-2 + -4).\nAnswer: 24*sqrt(19) + 44996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + 5*(6*sqrt(1300)*-2 - ((sqrt(143)*-2 - sqrt(143))\/sqrt(11) + -1 + sqrt(13) + 4)))**2.\nAnswer: 23600*sqrt(13) + 4525700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f**2 + 3*f - 3. Let p(b) = 4*b**2 + 2*b - 2. Let z(j) = 2*n(j) - 3*p(j). Let g(d) = 2*d**2 + 3*d - 3*d. Determine z(g(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6)\/s*s\/s**(1\/2))\/(s*s*s*s**1)**(1\/20)*((s*s\/(s\/((((s*s\/(s**(-1\/6)*s)*s)\/s)\/s)\/s))*s*s*s)\/(s\/(s**3\/s)))**(-14) assuming s is positive.\nAnswer: s**(-1951\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2481 is divided by 92.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y. Let t(p) be the second derivative of -437*p**3\/6 + p**2\/2 + 3377*p. Calculate a(t(m)).\nAnswer: 437*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-602)\/(-8127)*18\/16?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000053070988 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, q: 8, c: 1}. What is prob of sequence qs?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**0\/j*j*j\/j**(-5\/8) assuming j is positive.\nAnswer: j**(13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -18*j - 70. Let n be b(-4). Suppose 4*c = -0*c - 3*l - 210, -n = l. Put c, 0, 3 in decreasing order.\nAnswer: 3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437071742 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 6*l**2 + 5*l + 17. Let b be g(4). Let d(k) be the first derivative of -k**3\/3 + 7*k**2\/2 + 2*k - 3. Determine d(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 837\/(-18)*(-10)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((-2)\/30*9). Suppose -j*i = i - 10806. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) -0.4 (c) -44.8 (d) 2 (e) -2\/7 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11 and -1783518595?\nAnswer: 1783518606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -10025 at most as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5 + 6449*b**4 + 10407067*b**3 + 31163187*b**2.\nAnswer: b**2*(b + 3)*(b + 3223)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 6467.842333 to the nearest integer.\nAnswer: 6468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26920499899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - -50. Suppose 2*i - 7*i - 18 = -m, 3*i = -4*m - t. Is 4 a factor of ((-660)\/105)\/(i\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + 15 + -11 - -3) + -26?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1463)\/(-114) + -17 + (-2)\/(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 17*q**3\/3 - 3*q**2\/2 + 2*q - 2. Let r = 313 - 312. List the prime factors of c(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - f + 3654 = -2077, 2*o - 3*f = 11447. What is the thousands digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434909843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from oiouooooou?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1718345.\nAnswer: 5, 557, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 8 + 335*x + 203*x)*(-x + 0 + 0) in the form v + p*x**2 + o*x and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 smaller than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 115935249 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.4 + -9.433. Let t = s + -4.967. Which is the biggest value? (a) t (b) 11 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9625 and 479500?\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 21*v**2. Let s(i) = -i**2. Let d(u) = 18*s(u) + t(u). Let w(x) be the third derivative of 0 + 125*x**2 + 0*x + 13\/8*x**4 + 0*x**3. Determine d(w(b)).\nAnswer: 4563*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 3.5892319701146?\nAnswer: 5.5892319701146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + -2 + 2 + 1. Suppose 5*z + 19 = u, 8 - a = -3*z - u. Let o = z - -5. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o + 4. Let t be h(4). Let d be (t\/10)\/(6\/10)*6. Let y be (-14)\/18 + 0 + 1. Put y, 0.3, d in ascending order.\nAnswer: d, y, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 100, 157, 164, 115, 4, -175, -428?\n\"Answer: -z**3 - 19*z**2 + 121*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + h**2 - h + 1. Let v(b) = 6*b**3 + 5*b**2 - 10*b + 5. Give -10*u(r) + 2*v(r).\nAnswer: 2*r**3 - 10*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**4 + 11*i - 5 + 2 + 2*i**2 + 4 in the form o*i**4 + m*i**3 + t*i + n*i**2 + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32400 + 65073 - 32673 + 2*c + 71*c**2.\nAnswer: 71*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-four fifths of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3679*k - 302847 = 368273 - 181813 for k.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1459290 * -0.028.\nAnswer: 40860.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37\/21 - 4\/7. Let y = -1\/44366 + -44363\/133098. What is the nearest to y in -0.4, i, 2\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*w + w**2 - 88*w**3 - w**2 + 231*w + 86*w**3 as v*w + g*w**2 + n*w**3 + h and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 2)*(-1 - 0). Let f be (-2 + 5 - o) + 5. Solve -i = i - f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 486*j**3 - 4 - 857*j**3 - j - 2*j**4 + 98*j**2 + 371*j**3 to m*j**3 + i*j**2 + p*j + h + r*j**4 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 65278.06 centuries in millennia?\nAnswer: 6527.806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -22*y**3 + 3*y**2 - 6*y - 6. Let p(r) be the first derivative of -45*r**4\/4 + 7*r**3\/3 - 13*r**2\/2 - 13*r + 6911. Give -6*p(o) + 13*q(o).\nAnswer: -16*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.0391 bigger than 484?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/607396 and 23\/5.\nAnswer: 3036980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4699070 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1709\/1293 + 5\/431. Let y(p) be the second derivative of -p**2 + q*p**3 + 0 - 6*p. What is the derivative of y(w) wrt w?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7906666273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45121 or 45139?\nAnswer: 45139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/2 - 13*(-2)\/(-52). Suppose 0 = 5*r + f*d - 221, 4*r - 4*d + 8*d - 172 = 0. Calculate the highest common divisor of r and 495.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -0.7. Let n = -0.2 - z. Let t(k) = -k**3 - 6*k**2 - 3*k + 8. Let w be t(-5). Is w != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2533361 - -13?\nAnswer: 2533404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.9 and -210.\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140154817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(2\/3)*t*t))\/t*t**2*t*t**(2\/9)*t*t*t*t\/(t*(t**(-1\/16)\/t*t)\/t*t*t))**(-32) assuming t is positive.\nAnswer: t**(-850\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 763487*k*n**3 - 2665274*k + 2*n**2 wrt n?\nAnswer: 4580922*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 44\/5 of a centimeter?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17331*s**2 + 6 + 17334*s**2 - 3 - 3.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/67)*z*z*z**10*z*z**21*z*z**(-1\/4) assuming z is positive.\nAnswer: z**(9321\/268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 126026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 6:37 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.291 - -4.191. Which is the fourth smallest value? (a) s (b) -2\/11 (c) -0.1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 8*r - 9. Let j be s(7). Let l = -87 - -124. Let x = 33 - l. Is x > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**2\/3 + 2392*l\/3 + 9632\/3 = 0. What is l?\nAnswer: -4, 602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-35))\/(1 - 58\/14)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 142504\/2068 + 552\/(-8)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, b: 7}. What is prob of sequence tbt?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(224\/(-5)) - 10\/175.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-892)\/(-14) - 6\/(-21). Let y = 30 + -20. Suppose 5*n - 30 = y. Calculate the greatest common divisor of c and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 238 + 84. Calculate the lowest common multiple of 38 and h.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3990 to the nearest 100.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3404 = 5571*k - 5497*k for k.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 6:57 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, 818, 3241, 7868, 15431, 26662, 42293, 63056?\nAnswer: 89683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/5)\/q*q**7\/q*(q**1*q)**(-40\/3) assuming q is positive.\nAnswer: q**(-316\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -83329 and 1063.\nAnswer: -88578727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/420 and -7\/5508464.\nAnswer: 578388720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*(sqrt(200) + 0)**2 + -2) - (1*(sqrt(200) - (sqrt(200) - (sqrt(200) + -4 + -5)))*-2)**2.\nAnswer: 720*sqrt(2) + 2866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 450 = -4*y. Let r = y + -84. Is r <= -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -52 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**4\/8 - 7*l**3\/6 + 4*l**2. Let j(x) = 13*x - 28. Let s(y) = 9*a(y) - 2*j(y). Calculate s(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 10*k + 4*k + 2 + 0. Let n be s(-6). Suppose 17 - n = 5*c. Solve 0*a - 2*g = 2*a - 8, -4*a = -c*g + 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j - j**4 - 3*j + (14*j + 34*j + 74*j)*(-2*j**2 + j**2 + 3*j**2)*(1 - 1 + j).\nAnswer: 243*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8, -25, -58, -91?\n\"Answer: -33*z + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 - 88 = 5*w. Let l = 28 + w. What is the closest to 1 in l, -1\/5, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l**3 + l + 1. Let y be g(-1). Suppose 40 = 5*t - 5*p, -3*t = -2*p + y - 34. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.2308 (b) 8\/5 (c) 49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*i = 34*i + 20*i - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - s. Let a(z) = -6*z**2 - 11*z + 2. Calculate a(y) - 5*m(y).\nAnswer: -y**2 - 6*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 173 + -49. Suppose 4*d - r = -52. Let y be d\/90*(1 + (-20)\/22). Is 1 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003635 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340 + 52 = 5*q + p, 5*q - 5*p = 380. Let c = 25 - 21. Suppose -c*m - q = -10*m. Calculate the remainder when m is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 171*v + 2890. Let w be d(-19). Solve 0 = -3*p + w*u - 7, -4*u = 3*p - 2*u + 11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -12*m**2 + 101*m - 14. Let x be y(8). What is the greatest common factor of x and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1609 + -1?\nAnswer: 1608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*m + 458 = 1572, -2*m - 1134 = -4*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 1765*z - 1760*z + o, 20 = 4*o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -273 and 2?\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 210 = 87. Let a = 51 + g. Suppose i - 8 = -s + a, 2*s - 5*i - 24 = 0. What is the remainder when 43 is divided by s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1031a24 (base 11) to base 8\nAnswer: -6736703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -15*i - 36. Suppose -43 = u - 3*z, 0 = -4*u + 9*z - 11*z - 242. What are the prime factors of j(u)?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*i + 2*i + 3*i)*(2 + 1 - 1) - 4*i - 3 + 3)*(-i - i**3 + i).\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 1 - -5) + (1104\/45)\/(-4). Which is the nearest to 1\/10? (a) v (b) -5 (c) 0.011 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.06 (b) -17\/12 (c) 2 (d) 1\/11 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6575132?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * -138468498.\nAnswer: 1661621976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + d - 10 = -2, 2*v = -4*d - 40 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*i - 16 = -4*k, -4*k - i + 17 = 0. Let w(b) = 11*b**2 + 4*b - 6. Is w(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -168*y - 2344. Calculate f(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/41, -3\/41, 4, -1\/3, -13, -1\/5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12095, 12094, 12093, 12092, 12091?\nAnswer: 12090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = 4*c. Let o = c - -6. Let m(u) = o*u - 2*u - 2*u. Let k(i) = -i**2. Calculate k(m(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1972a (base 11) in base 9?\nAnswer: -41644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4162*m**2 + 410 + 160 + 4162*m**2 + 2*m - 129 - 3*m**3 as q*m + a*m**2 + y*m**3 + k and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.195 + -0.03?\nAnswer: -0.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -784 * 4.\nAnswer: -3136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 915?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 n, and 1 c when three letters picked without replacement from {c: 2, p: 1, m: 1, n: 2, w: 1, o: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 62. Let n(z) = -g*z + 29*z - 15*z. Let t(a) be the second derivative of -13*a**3\/3 + 5*a + 3. Calculate 11*n(p) + 2*t(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 0.997. Round s to 4 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 5*d**4\/4 + 7*d - 5. Differentiate r(v) with respect to v.\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -419*n + 418*n - 7, 4*n + 3*x - 7 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -20. Let x = 6 + k. Let v be 60\/x + (-2)\/7. Is v at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*x - 6. Calculate the common denominator of 2\/(-10)*60095\/(-714) and x\/(-44)*(-56)\/(-6).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {n: 4, t: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 12*y**2 - y - 2. Let q be p(-1). Let b(l) = 3*l - 9. Does 12 divide b(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqrrffrogof. What is prob of sequence ff?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 0)*(-6 - 37*a + 68*a - 39*a)*(105*a + 45*a - 85*a) in the form t*a**2 + g + h*a and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102 + -88. Calculate the common denominator of o\/(-63) - ((-442)\/45 - -2) and 2 - 48\/11 - -2.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 74 = 14. Let p = l + -5. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - r. Let g be x(2). Let h be 1 - (g - -3) - -1. Let s(a) = -a - 2. Let b be s(h). Is -1\/6 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -7*z + 33, 2*f = -2*z + 7*f - 6. Suppose -3*x = -23 - 103. Suppose 3*u + 15 = x. Does z = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 152174 + 339541 = 11*z, -3*p + 178792 = 4*z. Does 273 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**0))\/((w**4*w)\/w))\/(w\/(w*w**(1\/2))*w)**(-16\/5) assuming w is positive.\nAnswer: w**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4489 - (9\/(-3) - -2). Let d be o\/(-30) - 8\/(-20). Let k be (1\/2)\/(15\/d). Solve k*z - 16 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 - 16*p**2 - 10*p**2 + 17*p**2.\nAnswer: -13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-4))\/(5\/(-2)). Suppose -13 = -4*n + 11. Suppose -4 = -n*b + 2*b. Which is greater: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 33\/5 of a gram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -21. What is the closest to 0 in -1, -0.3, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 8*v**2 - 6*v - 19. Calculate the remainder when x(9) is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -894 - -2126. Suppose 0 = -42*v + 26*v + k. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 654 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 16 = 3*v, -5*v + 1 = -4*z - 1. Factor 5*l + 5*l**3 - 19*l**2 - 2*l**v + 31*l**2.\nAnswer: 5*l*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t. Let i(k) = -3*k - 10. Determine s(i(m)).\nAnswer: -3*m - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 3*g - 3. Let t(o) be the first derivative of 18 + o - 1\/2*o**2 + 1\/3*o**3. Let v = 1 + -2. What is v*a(y) - 3*t(y)?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4741 by -980.\nAnswer: -4741\/980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -0.291.\nAnswer: 0.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**2 + 2*h + 13 - 35*h**5 - 6*h**5 + 88*h**4 - 88*h**4 wrt h?\nAnswer: -820*h**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = s + 1, h - 5*s = -2 - 11. Suppose 27 = 5*b - h*b. Suppose -513 = -b*t + 3888. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27504 divided by -191.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5560\/9 - -226873\/360. Let f be (-1 - 88\/10) + 1. Let k = y + f. What is the common denominator of k and 54\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 0*n - 1532. Let b(i) = i**3 - 4*i**2 - 19*i + 73. Let y be b(5). Suppose 555 = y*z - 5*r, 3*z + z - n = -2*r. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -5. Suppose 6*d - 13*d + 35 = 0. What is the third derivative of 5*w**x - d*w**3 - w**4 + 4*w**2 wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -h - 3. Let j be (-2)\/2 - 2\/(-2). Suppose 5 = -t - 0*t. Sort h, t, j.\nAnswer: t, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1467862?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120 by 30.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100341 (base 7) to base 12.\nAnswer: -99b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)*-1*6)\/(-6*sqrt(40)))\/(4*2*sqrt(486) + -1*sqrt(486)*-2).\nAnswer: sqrt(5)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.368644 millennia to years.\nAnswer: 6368.644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 12*x**2 + 17*x - 36. Let q be l(11). Suppose -30*i + 35*i - q = 0. What is the highest common factor of i and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/204 and -58\/21?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 109*c**2 + 3*c**4 + 5*c - 2 - 110*c**2 + 4 - 4*c**4 as z*c**4 + t + j*c + w*c**2 + u*c**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15095 - -41474. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 51*u**2 + 128*u - 28. Determine c(-4).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-147 - -140) + 0 + 0 + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyypp. Give prob of sequence ppy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 546989513 to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -79966488*c**4 + 4*c - 665671157.\nAnswer: -319865952*c**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2212 - 11200101120?\nAnswer: -11200021201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 9 = -4*k, 0*o = 5*o + 3*k - 26. Let g = o - 4. Calculate the highest common divisor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 9) in base 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*o = 26*o - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 5*p - 3. Let g be v(6). Suppose 4*m - g*n = 508, 2*m + 127 = 3*m + 3*n. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31201 (base 4) in base 11?\nAnswer: -717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m**2 - m - 5 + 5 + (m**2 - 4*m**2 + 5*m**2)*(4 + 4 - 6) as k*m + d*m**2 + f and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5780*p - 3. Let t(h) = 11708*h - 6. What is 5*j(c) - 3*t(c)?\nAnswer: -6224*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18.77? (a) 2\/7 (b) 23 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -995715431*s + 212820315 wrt s?\nAnswer: -995715431","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -231, -0.2, -0.4, -29115 in descending order.\nAnswer: -0.2, -0.4, -231, -29115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 13 + -6 + -5 - (25 + -23 + -6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/6*3*-4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15833 or -15840?\nAnswer: -15840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.13914 rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*r + 1 = 0, -m - 2*r = 4*m - 7. Suppose 63 + 41 = 52*x. Put -5, 6, m, x in descending order.\nAnswer: 6, x, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uuuupppppupppppp?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 393391 to the power of 1\/2, to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -17*u - 7. Let y(a) = -a - 2. Calculate x(h) - 5*y(h).\nAnswer: -12*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*((sqrt(76) + 1 + -3)**2 + sqrt(76) + (-2 + sqrt(76) + sqrt(76))**2 + 2).\nAnswer: -1560 + 88*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -17*k**2 - 10*k + 189. Let i(n) = 15*n**2 + 8*n - 187. Give 4*c(o) + 5*i(o).\nAnswer: 7*o**2 - 179","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-60)\/15 + 335 + -2 + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0573657168531 minus 0.2?\nAnswer: -0.1426342831469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 404 and 1125140?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3877302 and 858.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432)\/sqrt(6) + 2.\nAnswer: 2 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 5*w - 10. Suppose -f + 8*l - 4 = 4*l, -3*f - 3*l + 33 = 0. What is z(f)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43836079 and 4401.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 40098625 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*z)*(1 - 1 - 3*z**2)*(101 - 53 - 58).\nAnswer: 60*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 489*w - 84. Let g(x) = 2*x. Calculate d(g(o)).\nAnswer: 978*o - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150571915 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**5 - 4*p**4 + 12*p**3 - 8*p**2 - 10*p - 6. Let z(w) = -w**4 + w**3 - w**2 - w - 1. Let i(q) = -r(q) + 6*z(q). Factor i(g).\nAnswer: 2*g*(g - 2)*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (4108\/2072 - 2). Let j = f + -17781\/5180. Calculate the common denominator of 21\/34 and j.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18173719*h**3 - 22846777 with respect to h.\nAnswer: -54521157*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t**3 + 10*t**2 - 3703*t - 7. Let v(a) = -2*a**3 + 6*a**2 - 1852*a - 4. What is -3*m(w) + 5*v(w)?\nAnswer: 2*w**3 + 1849*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 686.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s**2 + 9*s + 11. Suppose -1 = p + 8. Is w(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 + -11. Let d = c - -55. Let l = -37\/12 - -15\/4. What is the nearest to d in l, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and 813?\nAnswer: 812.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -397*c**3 + 364418*c**2 + 234579710.\nAnswer: -1191*c**2 + 728836*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 1010222222120011?\nAnswer: 1010222222120100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -253 - 13.\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-125391)\/388968)\/(28\/(-192)).\nAnswer: 42\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 176. Suppose i = r + 521. List the prime factors of i.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2268\/23 or -99?\nAnswer: -2268\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = t - 1. Let b be -3 + 3\/1 + 27\/(-27). Put -4, b, t in decreasing order.\nAnswer: t, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-8))\/((u\/(u\/u**(-3\/8))*u)\/u))**(5\/8)\/(u*u\/(u**(-2)\/u)*u*u**13*u)**(-1\/6) assuming u is positive.\nAnswer: u**(-35\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.012 * 0.14.\nAnswer: 0.00168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9554435, -19108869, -28663303, -38217737?\n\"Answer: -9554434*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 217 = -5*v - 95 - 72, -5*v - 76 = 4*d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 330900240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/25 (b) -1 (c) -1\/4 (d) -7.46875\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.2 - 0.2. Let r = 4999 + -4998.6. Let x = 1.6 + -2. Which is the third smallest value? (a) 6\/19 (b) v (c) r (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/a**(-1))\/a)\/a)**5\/(a**(-8\/7)\/a**5))**(4\/29) assuming a is positive.\nAnswer: a**(172\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 5. Let k be g(-5). Suppose -2*q = 4*i + 20, 14 = -0*q - 2*q - 3*i. Put -2, -3, q, k in descending order.\nAnswer: q, k, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 - -100. Let q = r + -40.00023. Round q to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -47 and 1.27143.\nAnswer: -59.75721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvhhvvgevev. What is prob of sequence ehhv?\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = x - 1, -5*g + 29 - 4 = -3*x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most as big as -29\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 761153263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/9? (a) 1.6 (b) 14\/15 (c) 1 (d) -2\/73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 6*z - 2*z - 8*z = 20, -8549 = 369*n - 13*n - 5*z for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -14 + 20\/4 - (-4 - 0). Suppose 1 - 3 = 2*g - 2*p, 2*g + 5*p = 33. Suppose -t = g*t - 2*b + 12, -4*b - 4 = -3*t. Put f, -3\/4, -2, t in decreasing order.\nAnswer: -3\/4, -2, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuvvuyuiu. Give prob of sequence yi.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0.061, -10372 in increasing order.\nAnswer: -10372, 0.061, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 8:15 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 2, h: 1, x: 1, n: 1, b: 1}. What is prob of sequence oo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533*n + 3*z + 9047 = -162*n, n + 12*z - 15*z = -1 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 127848737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 - 36*p**2 + 4*p + 71. Give l(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -37*a**2 - 41*a**2 - 38*a**2 + 128*a**2 - 17*a**2. Let s(z) = -3*z - 6. What is q(s(x))?\nAnswer: -45*x**2 - 180*x - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -6\/5 (c) -4\/249 (d) -0.023\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*r = 57 + 436 - 1574 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b - -21?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/10 + 11\/30. Suppose 177*r + 71*r - 134 = 362. Which is the closest to 0.3? (a) r (b) z (c) -5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14440491 by -9.\nAnswer: -1604499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnh when three letters picked without replacement from zonoznhoobn?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10861\/44 - 995\/4. Is x at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11435.1695 rounded to the nearest one hundred?\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 7. Let x = r - 4. Sort x, 1, 4 in decreasing order.\nAnswer: 4, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 132?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10239, -10235, -10229, -10221, -10211, -10199?\nAnswer: -10185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 416\/(-3536) - (-3374)\/357?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -497, -1000, -1513, -2042, -2593, -3172?\n\"Answer: -c**3 + c**2 - 499*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipx when three letters picked without replacement from axipc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4519886*y**3 + 636*y**2 + 2*y + 2775 wrt y?\nAnswer: 27119316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 141547 + -2?\nAnswer: 141545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/2*2 - -5. Suppose 5*q + m = 33. Solve 0 = -q*r - u - 25, 6 = -u + 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*k - 14 = 0, -3*d + 7*k - 2*k + 22 = 0. Let j be 1*(-2 - -24) + -2. Solve 2*h - 8 = 4*h - 4*m, -j = -4*h - d*m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(125) + 1 + -4 + (sqrt(55)\/(sqrt(275)*5 + sqrt(11)))**2)*-6 + -1.\nAnswer: -30*sqrt(5) + 6407\/338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*q**3*u + 2*q**3 - 2*q**2*u - 18807*q**2 - 11*q*u - 3542761*q wrt q.\nAnswer: 66*q*u + 12*q - 4*u - 37614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 80*t**2 - 321*t - 302. Give u(-76).\nAnswer: 990","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**4 + j**4 - 5*j**4 + (1 - 4 + 4)*(2*j**4 - 128*j**4 - 10*j**4)*(-1 + 3 + 0)*(0 - 2 + 5) in the form m*j + p*j**2 + u*j**3 + x*j**4 + w and give x.\nAnswer: -817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 256 and 12960368.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15182*v - 11158*v + 12867*v - 11342*v.\nAnswer: -24815*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136182.\nAnswer: 2, 3, 22697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/36)\/(((-1)\/(-1))\/(-27)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -8.04. Let c = m - 6.04. Let l = c + 5.9. What is the nearest to 1\/3 in -3, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4379 is divided by 189?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 12:05 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**4 + 32*b**3 - 2*b**2 - 611?\nAnswer: 24*b + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27616 is divided by 554.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5834632521948 plus 0.1?\nAnswer: 5834632521948.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -37, -2, 0.181, -1\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -17 - (165 - 181)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17572)\/(-1449690))\/((-56)\/(-30))?\nAnswer: 1\/154","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 14 (c) -1\/42 (d) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4220*q + 1453*q + 488271 + 90375 = 0 for q.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5 + -6 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 r when four letters picked without replacement from {z: 10, n: 1, c: 5, r: 1}?\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 6591*f**4 - 8112*f**3 + 1638*f**2 - 120*f + 3 = 0.\nAnswer: 1\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -181844 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z + 7*z + z + (-3*z + 3*z - 3*z)*(-1 + 5 - 5) + z + z + 0*z)*(-4 + 3 + 0)*(-2*z + 2*z - 3*z**3) as m*z**4 + b + j*z + a*z**3 + g*z**2 and give m.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 8, -7*i + 8*i + 23 = -5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7298 + -2.\nAnswer: -2.7298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10003483 or 10003485?\nAnswer: 10003483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 28, -2, -3, 5?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3407*y**3 - 7155*y**3 + 3743*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5934 and 48162?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8 - 1) + -3)\/((-441)\/126).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65\/594 + -1\/54. Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14989839 - -14990025.99863. Let i = 187 - a. What is i rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 - -0.1. Let w = q - -1. Let j = 419\/6 + -70. Which is the smallest value? (a) j (b) w (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -14*t**3 - 310*t**2 - 47*t - 70. What is b(-22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-25 + -2)\/(9\/426). Let j = w - -909. Let m = 557 + j. List the prime factors of m.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*p**4 - 1422*p**2 + 1422*p**2)*(21 + 11 + 55 + 76 + 7).\nAnswer: -3230*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 53*b - 3983. Let y be f(75). Let d(j) = -10*j - 88. Determine d(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5317978 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 1.95.\nAnswer: 1.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/40*30\/36.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4334*n**6 + 680*n**2 - n wrt n?\nAnswer: 520080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -89.543 * -277.\nAnswer: 24803.411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120571713 and 60.\nAnswer: 2411434260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1153575 and -119\/18?\nAnswer: 2307150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14831079 is divided by 193?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence si when two letters picked without replacement from {b: 1, s: 1, g: 4, i: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -845879 - -2.\nAnswer: -845877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -122*n**3 - 868*n**2 + 118*n**3 + 3030 + 304*n**2 wrt n?\nAnswer: -12*n**2 - 1128*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 372508 - 838355. Let j = -465843.00006 - n. Let d = -4 + j. What is d rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 7*m + 68 = 4*j, 0 = 5*m + 5*j + 50. Let u be (-9)\/(-1)*4\/m. Which is the third smallest value? (a) u (b) 3\/4 (c) -0.6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*o**3*u**2*v - 22*o**3*v + 54*o**3 + 47*o**2*u**2 wrt v.\nAnswer: -6*o**3*u**2 - 22*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 137*k - 140*k. What is the third derivative of 2*l**5 - 31*l**2 - 115*l + 115*l + k*l**5 wrt l?\nAnswer: 1320*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/45)\/((-2)\/(-3)). Let t = 17\/300 - 251\/900. What is the closest to p in 0.4, 7, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 1. Suppose 0 = 13*c - 14*c + h. What is the tens digit of (3*(-174)\/c)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14861?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 164217 = -77*k + 74*k, 3*w - 5*k - 164201 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 11*h - 15. Suppose 2*c = -4, 5*i = c - 44 - 4. What is j(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zei when three letters picked without replacement from {i: 4, m: 1, e: 2, z: 2}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -15*n - 162. Let h(l) = 7*l + 82. Let r(o) = -2*c(o) - 5*h(o). Let q be r(-18). Solve -q*m - 3 = t, 0*m - 4*m - 2*t - 2 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 12:56 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*sqrt(15)\/sqrt(3) + -4.\nAnswer: -3 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 8*k - 3. Let d be v(3). Suppose 0*m + d = 3*m. Suppose 3*r - 3 - m = -z, -3*r + 31 = 4*z. Solve z*x - 5 = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 0, -2176, 3, -2, -1, -9 in increasing order.\nAnswer: -2176, -17, -9, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/((-16)\/6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -8*d + 3. Let n be q(-3). Let u = n + -12. Suppose -5*h = -6*h + u. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9652?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4112 + 8636 = -156*w for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n - 4. Suppose 0 = 5*b - 2 + 22. Let o be m(b). Suppose o*i + q = -2*q + 53194, 2*q + 39904 = 3*i. Round i to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from {c: 1, e: 3, l: 2, g: 5, p: 5}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.092267, -1849 in decreasing order.\nAnswer: 3, 0.092267, -1849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2452288?\nAnswer: 2, 38317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/28*-4)\/(((-216)\/360)\/((-18)\/(-3)))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/120824 + 1764996965\/1087416. Let t = 1626 - f. Does 4 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*p**4 + 5*p**3 - p**2 + 673*p - 97103775 wrt p.\nAnswer: 64*p**3 + 15*p**2 - 2*p + 673","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/195, -4, 4?\nAnswer: -1\/195","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**2. Let w = 53 - 37. Suppose 4*l = 3*d + w, 0*d + 12 = 4*l - 4*d. Let c(o) = -o**2 - 4 + l - 3. Calculate c(y(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38015 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 566089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02417434408 rounded to 5 decimal places?\nAnswer: -0.02417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183797.\nAnswer: 183797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 208 divided by -691950\nAnswer: -104\/345975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15.7 and -0.07.\nAnswer: -1.099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(504))\/sqrt(9))\/sqrt(8))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-14)\/(g**(-3\/7)\/g))\/(((g*g**12*g*g)\/g)\/(g\/(g**(2\/7)\/g*g))) assuming g is positive.\nAnswer: g**(-181\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(3) + -2 + 2)**2*4.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -13*i**7\/42 - i**6\/30 - 149*i**3\/3 + 11*i + 63. Find the second derivative of q(l) wrt l.\nAnswer: -260*l**3 - 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 2825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.8779 to 2 dps.\nAnswer: -1.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 5*m + 208038, 0 = -4*n + 5*m + 367583 - 90214. What is the ten thousands digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 244 - 244.1. Which is the closest to 2? (a) z (b) -0.3 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -473, -470, -467, -464, -461, -458?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzqzqgzzggszzzqqqzkq. Give prob of picking 1 z and 1 g.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b - 30*b + 277926. What is b rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.04 and -9.144.\nAnswer: -9.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + y**3 + 3 + 3 - 8 + (-4 - y**2 + 4)*(-y + 2 - 2).\nAnswer: 2*y**3 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8d - 1d?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1177969433 to the nearest integer?\nAnswer: 34322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 27*r**2 + 27*r + 37. Determine w(-26).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1058605 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1776 and 448?\nAnswer: 49728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -22 (b) 1\/4 (c) 1 (d) -1\/8 (e) -0.3 (f) 0.151\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 367284 and 2667.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - (-18)\/(-10))*20. Let k be (-2)\/12 + 52\/i. Suppose -1 = -k*b - j, -4*j - 8 = b + 3*b. Solve 4*d - 3*l = -0 + 1, 3*l + 15 = -b*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, k: 1, r: 2}. Give prob of sequence ykr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*(sqrt(99) + sqrt(99) + sqrt(99) + 0) + (((sqrt(99) - (sqrt(99) - (0 + sqrt(99)))) + 4)*6)**2.\nAnswer: 918*sqrt(11) + 4141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.78 (b) -5 (c) -35 (d) -3\/128\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*f + 132, 0 = -4*f + 2*g + 119 + 13. Let j = -16 + f. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2579.248*-1.3.\nAnswer: 3353.0224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 58*o**2 - 454*o + 1. Let h be v(50). Is h not equal to -2699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a hour in minutes?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51408650*f**4 - 87016348.\nAnswer: -205634600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -13*c**3 + 13*c**2 - 7*c + 7. Suppose -3*d + 32 - 11 = 0. Let i(u) = 0*u**3 + 20*u + 3*u**2 + 6 - 4*u**3 + u**2 - 22*u - 4. What is d*i(m) - 2*b(m)?\nAnswer: -2*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-11 - -21 - 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 9:53 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -694.7, 4, 5, -0.2, -1\/3 in decreasing order.\nAnswer: 5, 4, -0.2, -1\/3, -694.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**2 - 1. Let m be r(-1). Let h be (m\/5)\/((-12)\/(-60)). Solve 6*z = h*z - 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3 + 1. Suppose -l - 6 = -r - u*l, -r = 3*l - 4. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53764.17 rounded to the nearest ten?\nAnswer: 53760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4229 + 8777. Let c be (-150186)\/(-9)*(-6)\/22. Let q = r + c. Calculate the common denominator of 49\/10 and q.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-25) - (36\/(-15) + -1). Suppose 0 = 5*x - x - r*l, -4*x + l = 0. Suppose x*i = 5*i - 75. Solve 3*h + i = v, 28 - 5 = v - 5*h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -879187803*l**2*o - 4*l*o - 131*l - 8652*o + 2 wrt l.\nAnswer: -1758375606*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 - 355*h**3 - 480*h**2 + 288000*h.\nAnswer: 5*h*(h - 48)**2*(h + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hehecthttct. What is prob of sequence cc?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -440? (a) -0.2 (b) 2 (c) -95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59717899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -447*k - 25496 = -35*k - 17256 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 461*k**2 - 21*k + 101. Is l(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 4*v**5\/5 - 1092*v**4\/5 + 86792*v**3\/5 - 232688*v**2 - 51695328*v\/5 - 19604992 = 0.\nAnswer: -16, -2, 55, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n**3 + 8*n**3 + 15*n**3)*(n - 3*n + 3*n).\nAnswer: 17*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 85\/188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 47?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-1))**33)**20\/(((j*j*(j*j**0*j)\/j)\/j)\/j*j*j**(-4)*(j\/j**(-1\/2))**(17\/2)) assuming j is positive.\nAnswer: j**(7877\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 802*i - 799*i - 57 = 0. What is the remainder when 45 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0859619108 rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 38*d**2 + 4829*d + 48835. Give w(-116).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.2, 4, -0.1, 38 in ascending order.\nAnswer: -1, -0.1, 0.2, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -a**5\/150 + 19*a**4\/30 - 6*a**3\/5 - 112*a**2\/15 + 7473*a. Factor p(m).\nAnswer: -2*(m - 56)*(m - 2)*(m + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**4\/5 + 6636*f**3\/5 + 2074644*f**2 - 427914080*f = 0.\nAnswer: -3410, 0, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18536 divided by 7?\nAnswer: 2648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14737 and -0.025?\nAnswer: 368.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -218, -434, -652, -872, -1094, -1318?\nAnswer: -1544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38605?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 29.5216 times -1574\nAnswer: -46466.9984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 458015 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5749 is divided by 5723?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 832 * -0.119345\nAnswer: -99.29504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*l - 3*f - 0, -29 = -3*l - 2*f. Suppose 0 = c - 9 - 6. Let v = c + -13. Sort 0.3, l, v in decreasing order.\nAnswer: l, v, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-2 - 0\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21528, -21526, -21524, -21522, -21520?\n\"Answer: 2*k - 21530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 28090 to the nearest 1000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*p - 5*p**3 - 8 + p**4 + 45*p + 4 + 8 to w + b*p**3 + a*p**2 + k*p**4 + x*p and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 134*o - 263. Let a be s(2). Sort 2, a, 1, -2.\nAnswer: -2, 1, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 43804599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5643 - 18?\nAnswer: 5626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 668440.5 kilometers in millimeters?\nAnswer: 668440500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 24*p. Let z(i) be the third derivative of -i**5\/60 - 5*i**3\/6 - 4*i**2. Let b(c) be the first derivative of z(c). Give b(k(g)).\nAnswer: -48*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 77317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1*s*s\/s**5)\/(s**(1\/4)\/s**(-5)))\/((s**(-9)*s)\/s**(2\/3))**44 assuming s is positive.\nAnswer: s**(4489\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 10:21 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 41. Suppose 2*o = 5*x - 2*o + 5, x + 4*o = -y. Sort -7, 2, x.\nAnswer: -7, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3350, 6704, 10060, 13418, 16778, 20140, 23504?\nAnswer: 26870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*h + 446 = 644 + 810 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7101 is divided by 1603.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.007771 and 37245987.36?\nAnswer: 37245987.367771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -2*c. Suppose -c = i, -4*f = 5*i - 5 - 1. Let o = f - -7. What is the highest common divisor of 99 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 691631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 128\/144*(-6)\/56?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1338147 + 37024.\nAnswer: 1375171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 895.5981s?\nAnswer: 895598100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4 = -q. Suppose -5*l - q = 16. Put 1, 0, l in decreasing order.\nAnswer: 1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 392e (base 15) to base 2.\nAnswer: 10111110100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 3*b + 61. Let m be x(-10). What is the common denominator of 83\/15 and 1\/75*195*m\/(-30)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.140935 rounded to three dps?\nAnswer: -0.141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -15*h + 32. Does 2 divide 96\/h + (-11 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.718 (c) -7.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 10*f - 6*f - 6 = 0, -2*n + 4*f = 0. What is the remainder when (-156)\/13*(n - 7) is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c55b63 (base 16) to base 11.\nAnswer: -7334550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/285825 and 107\/168.\nAnswer: 16006200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 + 64. Let m = 7 + -4. Let o = m + i. Which is the second smallest value? (a) o (b) -4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00023554109 rounded to 5 decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8009102 and 1526.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 68017, 63922, 59829, 55738, 51649?\n\"Answer: i**2 - 4098*i + 72114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 3\/5, 1.42, 0.2, -15\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is -4.0957 rounded to one decimal place?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8928949 a multiple of 974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-4 + (-14)\/(-6)). Calculate the remainder when (0 - i)\/(1\/(-3)) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5)*h**(2\/81))\/((h**(-5\/4)*h)\/((h\/h**4)\/h*h)) assuming h is positive.\nAnswer: h**(-5063\/1620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1705*r - 35912 + 8119 - 1192 = 0 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 130a + 1?\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (14 + -7)*(1\/(-2) - 0)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tnknktknn. Give prob of picking 4 n.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 + 34. Let m = 19 + -1. Let h = m + t. Sort h, 1, -4.\nAnswer: -4, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22628 and 6.\nAnswer: 67884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1342 and 305?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + sqrt(13) + -4*sqrt(65)\/sqrt(5))**2 - ((-6*(sqrt(65) - -2*sqrt(65)))\/(sqrt(80)\/sqrt(4)))**2.\nAnswer: -920 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -t, -4*t = 5*n - 5*t - 21 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*r**3 - 2*r + 2*r)*(3*r - 2*r - 9*r)*(r + 0*r + 0*r) + 26*r**5 - 75*r**5 + 25*r**5.\nAnswer: -96*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.4? (a) -5 (b) -1 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19970.701 rounded to the nearest one hundred?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2704 is divided by 1333?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153, -246, -339, -432, -525?\nAnswer: -618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 489*m + 6 - 1709*m - 30 - 458*m. Let l be s(-8). What is l rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 721697128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31311387955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 67, 3, -1\/8 in descending order.\nAnswer: 67, 3, -1\/8, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168, 326, 474, 606, 716, 798?\nAnswer: 846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -17084.9.\nAnswer: -10250.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -102310123100?\nAnswer: 102310123102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + j**2 + 12. Let u(l) = -l**2 - l. Let z be u(-1). Is 6 a factor of x(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mglofgfnmgfmgm. What is prob of picking 2 f and 1 l?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*m + 24, 0 = -3*z + 2*m + 1 - 8. Let p be (-1*z + 0)*1. Suppose 236 - 491 = -26*b - 229. Put b, p, 3 in decreasing order.\nAnswer: 3, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 11. Let f be x(-9). What is the third smallest value in 0.5, -2\/3, f, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17856965443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4160*-743.\nAnswer: -3090880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 5045?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24649348.66 - -4.\nAnswer: 24649352.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 4:10 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -11*v - 391. What is l(-35)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 126\/(-3591) + (-12249)\/(-3078) + -4?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26979.\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 27 + 46 + -50?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 3*l - 38. Let a be i(-8). Let o(r) be the first derivative of 0*r**2 + a - 1\/3*r**3 + 0*r. Let s(m) = -2*m**2. Give s(o(j)).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/4 of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 853 + -590. Let a = -268 + g. Sort a, -1\/5, -16 in ascending order.\nAnswer: -16, a, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 780501 + 672394 = 67*x. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 42*z**2 + 356*z - 20. Let c be t(-12). Calculate the highest common divisor of 826 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 568*a**2 - 3*a - 1. Does 19 divide n(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2352 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, 3, 1, -5 in descending order.\nAnswer: 3, 1, -5, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -21. Suppose -b = u*b. Solve -27 - 3*r**2 + b*r**2 + 30 = 0 for r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -305, -460, -617, -776, -937?\nAnswer: -1100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06543723 rounded to 4 decimal places?\nAnswer: -0.0654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1176229230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdjxxxxxdjcxcdzjbx. Give prob of picking 1 x and 1 d.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 101 (b) 7 (c) -0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4 + 2 + -2 + 1640\/270 and 47\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 9:46 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 6*x - 1. Let k(l) = -181*l**2 - 6*l - 1. Let j(d) = k(d) - w(d). Let r(f) = -2*f**2. Calculate r(j(s)).\nAnswer: -64800*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1564014?\nAnswer: 2, 3, 463, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d. Let l be q(1). Suppose 28 = h + 6*h. Suppose -h*o + l - 22 = -b, -o = 3*b - 25. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1014 = 8*m + 18*m. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 11*a**2 + 16*a + 18. Let r be f(9). Suppose 2*p = u + 815, 2*p - 5*u + 10*u - 785 = r. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 5*v**2 - 6*v + 8. Let a be o(6). Suppose -3*u - 25 = -a*u. List 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 value of (2\/3)\/((-10)\/(-6))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/15299 + -72867\/13876193. Is 1 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/z**(-3\/17)*z\/(z**(19\/4)*z*z) assuming z is positive.\nAnswer: z**(-243\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -5\/2, -79, -0.07?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 3*f + 5 = p + 3*f, -8*p + 39*f + 60 = 35*f for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 482269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/((r**(-4\/3)*r)\/r)))*r**(-7))**(-14)\/(r**(-2)*r**(-2\/9)*r**(-3)\/((r**1\/r)\/r*r)) assuming r is positive.\nAnswer: r**(635\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 6*q**2 + 2*q + 2. What is p(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 59*a = 62*a - 59678, 5*l - 74638 = 3*a. Calculate the highest common divisor of l and 164.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -99?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294*a = -423*a + 58050. Solve -65*n - a = 25*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 8*i**2 + 16*i + 41. Give f(-3).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 707*n**2 + 2*n + 2. Is o(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 742080071*m**3 + m**2 + m - 1. Let n be h(-1). Let f be n\/(-96) - -1*(-3)\/4. Round f to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 7:24 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*w - 141 = 19 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 11*r - 12. Let c be v(12). Let n be 203\/(-63) - (c - 3). Sort 7, -2, n in descending order.\nAnswer: 7, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h**2 + 4*h + 20. Let t(g) = g**2 - g - 5. Let u(l) = c(l) + 4*t(l). Let p(j) = -81*j**2. Determine u(p(b)).\nAnswer: -6561*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-3 - -3)\/1. Let f = 0 + l. What are the prime factors of (3 - 2) + (f - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 4:22 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2860000 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6*l**2 - 6*l + 4. What is the lowest common multiple of 2 and x(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 24, 33, 56, 99, 168, 269, 408, 591?\n\"Answer: v**3 + v**2 - v + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 158416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -626 or -614?\nAnswer: -614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 39 = 2*y + 113, -4*z + 148 = 5*y. Let s = z + -29. Does 10 divide (s - (-219)\/(-3))*12\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5*z - 8*z + 76, -2*z + 49 = -5*i. Solve -76 = -8*g + z*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.3 and -6876.\nAnswer: 8938.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(6\/13)\/a*a))**30*a*a\/(a*a\/(a*a\/(a\/a**(-9))))*a\/(a**(-30)*a))**(-5) assuming a is positive.\nAnswer: a**(-2480\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18\/79 + -371\/1975. Calculate the common denominator of c and 4\/215.\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4568 a factor of 118811843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 + 15. Let a(f) = -224*f**2. Determine i(a(n)).\nAnswer: -100352*n**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, -7, -131, 0, -5, 1, -1.\nAnswer: -131, -7, -5, -1, 0, 1, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 14208. Let z(w) = 2*w. Determine z(n(k)).\nAnswer: 2*k - 28416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**2 + 4*y**2 - 2*y**2 - 8*y**2 + 232*y**3 - 31*y**3.\nAnswer: 201*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*n**2 + 0 - 31*n**2 + 0 + 28*n**2.\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 425119273 to the nearest integer?\nAnswer: 20618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13411356 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6) + 44776\/(-96). Let q = m + 463. Let h = -1722 + 24121\/14. What is the common denominator of h and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/8827 and -133\/130.\nAnswer: 88270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -7, 9639?\nAnswer: 9639","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - 6. Let q = -10.91 - a. Let s = 0.29 - q. What is the third smallest value in 0.4, 2\/7, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*p - 239 = 13*p - 29 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2708621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 9*f**2 + 2*f + 6 + (2 - 2 + 5)*(-15*f**2 + 66*f - 15*f**2 - 65*f) to g*f**2 + l*f + a and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2082 - 0.03.\nAnswer: -0.2382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 3)*(1 + 1 - 1)*(-4*n + 2*n + 0*n) to f*n + b and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 - 15 - 10*c**4 + (0*c - c - c)*(-2*c + 3*c - 3*c)*(114*c - 37*c**2 - 114*c).\nAnswer: -158*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5184?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51897 or 5501005\/106?\nAnswer: 5501005\/106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwfwnryn. Give prob of sequence wrb.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50112*w + 48746*w + 113378 for w.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7043 and 8.\nAnswer: 56344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s - 3. Suppose v + 4 = -0. What is the remainder when b(-5) is divided by 4*((-10)\/v + 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozppzzoozpopoooppopz. What is prob of sequence pzzz?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**3 + 1 - 6*t**3 - 4*t + 1 + 358*t**2 - 685*t**2 + 333*t**2. Let y(v) = -v**3 - v**2 - v. Give i(k) - 4*y(k).\nAnswer: k**3 + 10*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 3060.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -397 - -225. Let y = w + 262. Suppose 24*v = 21*v + y. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -132339.4 rounded to the nearest one thousand?\nAnswer: -132000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 645788944 divided by 40382.\nAnswer: 15992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 246725688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 2.8. Sort -3\/2, p, 0.3.\nAnswer: -3\/2, p, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1594953376 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 751468679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 320243, 320250, 320255, 320258, 320259?\nAnswer: 320258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4103, -16273, -36265, -63839, -98755?\nAnswer: -140773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 654.18294 to the nearest integer.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 w, and 1 a when three letters picked without replacement from {g: 3, b: 1, n: 1, w: 1, m: 4, a: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -430 + 324?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 7*w - 7. Let a be p(-5). Suppose -5*v + a*i - 4 = -20, 5*i = -10. Solve 2*h - 3*h + v = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 5. Let i be ((-6)\/4)\/((-2)\/(-4)). Let v = i + 3. What is l(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488437306.\nAnswer: 2, 7, 73, 229, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2574*i - 64449. Determine q(-25).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4036 a factor of 1313746252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1720453938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 19532*x**2 + 103*x + 1. Let f be w(-7). Let q = f + 147652. Round q to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1306*r**3 + 2534*r**3 - 1227*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 16536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 3*j**3 - 3*j**3 - j**4 - j**4 - 14*j**4 + 9*j**4 + 3*j**4 + 3*j**4 - 4*j**4 + (2 - 2 + j)*(5*j**3 + j**3 - 5*j**3).\nAnswer: -4*j**4 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/(-10)*7\/(-28). Let j = -542 - -2169\/4. Which is the closest to j? (a) y (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/123389896 and -19\/158644152?\nAnswer: 1110509064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-1 - 3) + (38 - 28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -332 + -11?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 167*f + 12 = 169*f, 3*u + 3 = 5*f for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 452894 = -5*q - 2*z + 5*z, 271738 = -3*q + z. Round q to the nearest 1000.\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*-9*(-14)\/(-126).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 1556*o - 115. Let x(n) = 104*n. Give f(x(u)).\nAnswer: 161824*u - 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-42) - (-7)\/(-42)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576)*-3)\/sqrt(12) + -1*(sqrt(3) - (2 + sqrt(27))).\nAnswer: -10*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - 95. Let x = -120 - a. Suppose 65 = 5*y - 5*i, -y + 0*y - 7 = x*i. Solve 0*p - p - 2*t - y = 0, 5*t + 25 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -51 (c) -2634\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 402, -75, -3\/400, 4 in increasing order.\nAnswer: -75, -3\/400, 4, 402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (4\/30)\/1 - (-60836)\/3405\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2131729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 22 (c) -5 (d) -3.4 (e) 0.4 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -36, -29, -34, -57, -104, -181, -294?\n\"Answer: -w**3 + 14*w - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2184346 - 2257759 = -29*w - 957436. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 20 = -j. What is the lowest common multiple of j and 164\/10 - 4\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*m - 103, -5*n + 208 = -5*m + 73. Calculate the smallest common multiple of 4 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 2. Let j be (-6)\/(-4)*(-24)\/(-36). Let x(z) = -31. Let o(y) = j*x(y) - 5*m(y). Let g be o(-4). Let d(q) = -9*q**2 - q. Determine d(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5684, -5899, -6258, -6761, -7408, -8199?\n\"Answer: -72*p**2 + p - 5613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -44 = -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56671\/30566 + 1\/899. Calculate the common denominator of (-9 + 28)\/(9*8\/4) and m.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/5)\/(n\/n**(-6\/13)) assuming n is positive.\nAnswer: n**(-82\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 + 25 + 50 = -16*d for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160 - 168 - (24 + (9 - -83)).\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 6 = 6. Solve -10 = 5*x - t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = o - 26. Suppose 0 = -11*y - 11*y + 3102. Suppose 5*u - y = -216. Which is greater: o or u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 15 = 2*p - s, 44 = 2*p - 5*s. Suppose -5*r - 7 = -p. Let k(t) = 314*t - t**2 - 314*t - r*t**2. Let b(v) = 25*v**2. What is b(k(m))?\nAnswer: 225*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f*i**3 + 1199*f*i**2 + 680739*f + 62*i**3 wrt i.\nAnswer: 3*f*i**2 + 2398*f*i + 186*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4243940.\nAnswer: 2, 5, 443, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 + 0*f**2 + 0*f**2 + (-3 - 1 + 2)*(f**2 - f**2 - f**3) + (-1 + 0 - 1)*(25*f**3 - 62*f**3 + 109*f**3).\nAnswer: -141*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**2 + 3*t**2 - 7*t + 1 + t**2 - 8*t**2. Let i be c(-6). Let s(n) = 2*n - 2. Let a be s(i). Calculate the greatest common factor of a and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -2, 8, -4, 42 in descending order.\nAnswer: 42, 20, 8, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18117, 36191, 54201, 72117, 89909?\n\"Answer: -5*m**3 - 2*m**2 + 18115*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u - 3*u - 2*u)*(46 + 169*u + 22 - 68) as o*u + i*u**2 + k and give i.\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 5 = s, l + 5 = 11*s + 3*s - 15*s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5711 + 6051. Sort 0, l, 2, -0.2.\nAnswer: -0.2, 0, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092375861 to the power of 1\/3, to the nearest integer?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 22, -20, -4, -1 in descending order.\nAnswer: 22, 0, -1, -2, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 881 + 882 - 1759 + 9*p - 8*p.\nAnswer: p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 5 + -8 - -4. What is the nearest to z in 0.3, 6, -0.1, 2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/5 of a hour?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -170 + 120 + 0 + 1.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 40 = -4*j, -2*g = -5*j + j + 12. Suppose -j*q + q + 40 = 0. Suppose q*o - 36 = 6*o. Calculate the greatest common divisor of o and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**5\/20 + 3*u**4 - 95*u**3\/6 + 19*u**2\/2 - 81*u. Does 64 divide z(33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -4*h**5 + 1408*h**4 + 20764*h**3 - 98440*h**2 + 128976*h - 52704 = 0.\nAnswer: -18, 1, 2, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10960\/91 - -842\/7. What is the third smallest value in 0, a, 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.128*0.05.\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163829 is divided by 54609?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 1659026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*u - 21384 + 23118 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 - -40. Which is the biggest value? (a) j (b) 2\/21 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-5) + 12\/(-20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21417003 divided by 113.\nAnswer: -189531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*q + 0 = 23, 4*q = -5*u - 26. Let g = u - -141. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a century?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/37576 and -79\/308.\nAnswer: 37576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -2)\/(2\/10). Let x = r - 1. Does 13 divide ((-1)\/2)\/(x\/(-104))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.9 in -2, 3, -3\/32?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2694*c + 2699*c + 52 = 6*h, 3*c = -4*h - 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-1 + 4) + (-7 + 8)*1. Solve -3*d - z = 8, q*d - 3*z = 8 - 26 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*x + 80731 = 80812 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 531 or 507?\nAnswer: 507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/12537, -1\/3, -2, 0.2, -6, 2 in increasing order.\nAnswer: -6, -2, -1\/3, 2\/12537, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h**2 - 10*h**2 + 3*h**3 + 2*h**3 + 20*h**2.\nAnswer: 5*h**3 + 20*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011102000 - 2220?\nAnswer: 1011022010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -37119414\nAnswer: 74238828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)*d\/d**(3\/11))\/((d*(d\/(d*d**(-3)*d))\/d*d)\/d*d**(2\/9)) assuming d is positive.\nAnswer: d**(-445\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5255 - 5280. What is the biggest value in b, -27, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + q)*(-33 + 33 + 21) + 3*q - 10*q + 2*q.\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**2 - 212*q + 152. Let s be v(-71). Which is the biggest value? (a) s (b) -0.5 (c) -4 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + k - k)*(5*k**3 - 4*k**3 - 2*k**3) - 106*k**4 + 627*k**4 + 1193*k**4.\nAnswer: 1716*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.057 (b) 2\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 650*l + 10477. Determine u(-16).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3507, -6946, -10309, -13596, -16807?\nAnswer: -19942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2*3\/(-21) + 524\/462 and -8\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 325 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0479367*-21.\nAnswer: 1.0066707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -176 + 218 + (-32 - -1) - (2 + 124)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -85703430, -171406860, -257110290, -342813720?\n\"Answer: -85703430*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -21130 divided by 1\nAnswer: -21130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362 + 381 - 1465 + 358 + 364 + 6*s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 7:23 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 59*m**2 + 1. Let a be n(-1). Let d be (10\/(-6) - -2)\/(36\/216). List the prime factors of (a\/(-16))\/(d\/(-8)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27.244 + 29.244. Let t = -181 + 1631\/9. Let z = 1.8 - 2. Sort t, j, z in descending order.\nAnswer: j, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 3:14 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*j = 0, 3*w - 4*j + 2*j = 14. Let t(z) be the third derivative of 0*z + 0 - 1\/90*z**w - 1\/180*z**6 + 0*z**3 + 12*z**2 - 7\/450*z**5. Factor t(h).\nAnswer: -2*h*(h + 1)*(5*h + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -68, -73, -78, -83, -88?\n\"Answer: -5*j - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130124870?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3698749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 4*j**2 + 5*j + 10. Let q be p(-3). Put 0, q, 2, -4 in ascending order.\nAnswer: -4, 0, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 21, 87, 195, 345, 537?\n\"Answer: 21*f**2 + 3*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1071439741 to the nearest integer?\nAnswer: 32733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*((-1)\/2 + 3). Suppose -5*l - 4*j + 354 + 244 = 0, 592 = p*l + j. List the prime factors of l.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.03 and -50151 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -51 - (-53 - (-38 + -102))\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 1 - 3. Solve -g*t + 6 - 22 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111201100220 (base 3) in base 13?\nAnswer: 95b80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/2 - 13*o**3\/2 + 52*o**2 + 630*o.\nAnswer: -o*(o - 10)*(o + 9)*(o + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(280\/18))\/((-12)\/(-14)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - s - 25. Let u be (4\/(-5))\/((-1)\/s). Which is bigger: u or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a + 1. Let v(o) = 11*o + 1. Calculate -5*b(y) + 3*v(y).\nAnswer: 8*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2420394 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.29? (a) 1\/5 (b) -2\/7 (c) -1\/4 (d) -69 (e) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10270688.\nAnswer: 2, 193, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 - 48*d - 158. Let t be (65\/(-3) + 9)\/(2\/3). Let l be n(t). Solve 5*i = s - 20, -4*i - l = -s - 3*s for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.270498 years in centuries?\nAnswer: 0.05270498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y - 25 + 18 - 227 to the form a + v*y and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - -1. Let d be a\/(-52) + (-2)\/(-4). Is d < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-20) + (-4)\/20. Let y = -4\/19 - 11\/38. Which is the closest to 1? (a) l (b) y (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, -0.11, -9, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1732*l - 1734*l = -n - 7, -5*l + 16 = -4*n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -105 (b) 0.1 (c) 46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -296 + 6217\/21. Sort 1, g, 2 in decreasing order.\nAnswer: 2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4284 - 13.4614. Let r = -12 - s. What is r rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 205490\/15 + ((-70)\/15)\/(-7). What is r rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 10763*t**3 - 235*t**2 + 235. Let a(o) = -92*o**3 + 2*o**2 - 2. Give -235*a(j) - 2*y(j).\nAnswer: 94*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -184 in 1\/2, 2, 3, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = 312 - 360. Suppose 0 + 0*k + 0*k**2 + 2\/5*k**n - 4\/5*k**3 = 0. Calculate k.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -11769?\nAnswer: -11772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 3 (c) 0.3 (d) -3 (e) -0.33 (f) -508\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 - 14. Suppose 4*r = -d, 4*i + r = -3*r + 12. Find the common denominator of 71\/8 and (-28)\/(-36)*(-2)\/i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313*t - 34680 = 279*t. Which is smaller: t or 1021?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/9016 and -29\/1656?\nAnswer: 81144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 11:59 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -27\/5, -5, 14, -3 in decreasing order.\nAnswer: 14, -3, -5, -27\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -293*n - 107. Let u be 56\/(-102)*69 + 14\/(-119). Is q(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48068570 rounded to the nearest 1000000?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2. Let a(i) = -4925*i**2 + 6*i. Determine a(u(l)).\nAnswer: -19700*l**4 + 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93*r**2 - 27939 - r**2 + 27941 + 26*r + (-1 + 1 - 2*r)*(-2*r + 1 - 1) to the form q*r**2 + c*r + j and give q.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1113 (base 14) to base 9\nAnswer: 4045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8461*v - 1 - 1 + 37937*v + 4.\nAnswer: 46398*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26334054 * -0.4.\nAnswer: -10533621.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 108.56 (b) -2\/11 (c) 1 (d) -1\/2 (e) -3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, t: 2, p: 1, b: 1, x: 3, w: 3}. What is prob of picking 1 x and 1 r?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 42*f**3 + 0*f + 169*f**2 - 181*f**2 - 2*f.\nAnswer: -42*f**3 - 12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1\/33 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 70 = 5*h, 3*x = -0 + 15. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18996588 and 8028?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 111 - 135 = 0. Suppose 0 = z*o + 3*w, -5*o + 9*w - 10*w = 4. Which is the smallest value? (a) o (b) 1 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -277\/630 - -1\/90. Let y be 2\/18*(-18)\/15. Let u = -15 + 16. What is the nearest to u in w, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/(-6)*(-624)\/65 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 15 = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l**(3\/4)\/l)*l)\/l))\/l**(-3)*l*l**(-3\/2)*l*l*l*l\/l**0*l*l\/l**3*l**3*l*(l**(-1\/3))**(-1\/8) assuming l is positive.\nAnswer: l**(223\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 521074?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -4*x + 6*x. Is 33 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -0.13, -3\/4, -1\/2, 0.06?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*(-2 + (sqrt(243) - (-1 + sqrt(243))) + -5*(sqrt(243) - (1 + sqrt(243))) - 5*(sqrt(243) + 4 + 2 + sqrt(243))) + -4)**2.\nAnswer: 44280*sqrt(3) + 225425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 8*i**2 - i + 6. Let j be r(6). Let h = 24 + j. Suppose 0*q - 3*q - 4*p = -h, 15 = -5*p. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -1, 252.\nAnswer: -20, -1, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12421793 - 20775059.\nAnswer: -8353266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13996?\nAnswer: 2, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 771 - 692. Suppose 2*p = -15 + i. Let o = 1 + 6. What is the remainder when p is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.483 - -1318.53.\nAnswer: 1317.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -4*j**3 + 30180*j**2 + 181188*j + 271836 = 0.\nAnswer: -3, 7551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 - ((40 - -1) + (499 - 579))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43943203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*d - 130432 + 130432)*(-d + 5*d - 3*d).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 5*i**2 - 4*i + 2. Let j be k(4). Suppose -3 = -j*d + 1. What are the prime factors of (18\/(-15))\/(d\/(-30))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/170*-1*36\/(-9)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2885400 to the nearest one hundred thousand.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68858, -137874, -207050, -276386?\nAnswer: -345882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 p when three letters picked without replacement from {l: 3, i: 1, f: 1, o: 3, p: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 155, 0, 4, -5, -3 in decreasing order.\nAnswer: 155, 4, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659733107?\nAnswer: 11, 59975737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i**3 + 10*i**2 - i - 5. Let u(g) = 11*g**3 - 29*g**2 + 4*g + 15. Let p(d) = -d + 5. Let o be p(8). Let j(x) = o*u(x) - 8*k(x). Give j(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1130 - -1169. Calculate the greatest common divisor of h and 2301.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/(-3))\/(-3) - -1. Suppose 0 = -4*o + 3*o + d. Which is the third biggest value? (a) 0.3 (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.4 - 0.6. Let u = 2.9 + a. Are -0.06 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-546)\/(-12)*((-36)\/112 + 294\/8232).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/73 in -12, -1\/5, 6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2325755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.09409316 * -0.8\nAnswer: 0.075274528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -5*a**2 - 1\/3*a**3 + 0 + 1\/20*a**5 + 7\/6*a**4 - 3*a. What is the least common multiple of 18 and o(-14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.172826408 to five dps.\nAnswer: -0.17283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -851 - -853. Let q(r) = -r**2 - 5*r + 5. Let u be q(-5). Is z bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0\/n)\/n**(-6))**(-29)\/(n**(-5)*n**2*n)**(-8\/3) assuming n is positive.\nAnswer: n**(-451\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.1 + 19. Let b = -0.9 + h. Is -3 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-573)\/(-27) + 3 - (-4)\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*c**2 - 31*c - c**3 + 31*c + (3*c - 2*c - 2*c)*(-34*c**2 + 14*c**2 - 9*c**2) as l + y*c**2 + s*c + u*c**3 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n = -657 + 69. Let q = 48 + n. Are q and 21\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 17*f**3 - 5 - f - f - 7*f - 2*f. Let m(g) = 3*g**3 + 2*g + 1. Let h = -3 + 2. Let p be 0 + (3 + h - -20). Calculate p*m(o) + 4*c(o).\nAnswer: 2*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 9. Suppose -5*y = -4*p - 22, -p + 20 = 3*y - 0. Find the third derivative of x**2 - 21*x**y + 18*x**i + 11*x**6 wrt x.\nAnswer: 960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 2. Differentiate -2 - 2 + 2*k**3 + h with respect to k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 3*k + 5*k + (3 - 5 + 3)*(0*k + 0*k + k))*((-9 - 7 + 5)*(0 + 0 + 2*k) + (-4 + 0 + 8)*(0*k + 0*k + 2*k) - 6*k + 0*k + 4*k).\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-3)\/((-2)\/2). Let h(v) = -v**3 - 17*v**2 - 18*v + 13. Let s be h(-16). What is the highest common divisor of j and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - 6. Let p = a - -24. Solve -3*v = p - 9 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35039 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**20*j*j*(j*j**(-1\/17)\/j)\/j assuming j is positive.\nAnswer: j**(356\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/166304251 and -101\/4964306.\nAnswer: 332608502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a + 32. Let d be z(-6). Solve 4*w + 14 = -d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23402 > -23402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1089 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 907530 or 907477?\nAnswer: 907530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 15 + 52 - 8721*l.\nAnswer: -8721*l + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from {w: 1, g: 2, o: 1, b: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 11*v**2 + 4*v - 45. What are the prime factors of f(13)?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3876 divided by 68?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 30377 and -6675392842.\nAnswer: -6675362465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -152 + 12?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = 2*h. Suppose 5*o + 1 = -2*i, 5*o = -0*o - 5. Let q(c) = 3*c**2 + 2*c - 3. Let p be q(2). Solve -4*u + k = -2*u + p, -h*k = -i*u - 22 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 12:13 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o - 5. Let b be s(-7). Suppose b = -3*l - 0*l. Let c be 1 + 2 + l - -4. Solve c = 3*y - y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 519 (c) -179174.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*m - 12*m = -113*m + 2509 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Let j(g) = 5*g - 33. Give j(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.48127 centuries to years.\nAnswer: 148.127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 18. Let r be y(0). Let q = -15 - r. Find the second derivative of -7*z**3 + z - 4*z**3 + q*z**3 wrt z.\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 2*s - 3*r + 36, -20 = 4*s + 3*r. Let w(t) = 2*t**2 + 26*t + 12. Let d(c) = 3*c**2 + 39*c + 18. Let b(j) = 5*d(j) - 8*w(j). Does 5 divide b(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165323426597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 86*t**2 - 546*t - 401. Determine f(92).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 1 + 1)*(1 + 1 + 1)*(0 + 6 + 3).\nAnswer: -54*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 67, 102, 141?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8916193 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1111 + 11*x + 57*x - 66*x.\nAnswer: 2*x - 1111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -8 - (2 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 15*m - 161. Let s be w(13). What is the highest common divisor of s and 308?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -280 - -396. Let -21*w**3 - 43*w**2 + 48*w + 6*w**3 - o*w**2 + 18*w = 0. Calculate w.\nAnswer: -11, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j, -2*f - j + 20 - 72 = 0. Let t be f\/(-13)*(2 - 1). Solve -t*u - 2*s = -u - 2, 0 = -4*s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = q + 27892 + 100972, 9*j = 3*q + 579897. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 - -0.1. Let p(x) be the second derivative of -x**5\/20 + x**4\/4 + x**3\/2 + 2*x**2 + x. Let g be p(4). Sort w, 1\/8, g in ascending order.\nAnswer: w, g, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 9 = -y - 3*b, y = -b - 4. Let o be y\/(-4*(-4)\/16). Let z be -1 - 1\/(-1) - o. Solve z*r - 8 = -2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22.66 + -0.34. Let n = 22.9984 + v. What is n rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19358 + 19365. What is the smallest common multiple of 53 and d?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197 = -z + 219 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*a - 15*a**3 - a + 17*a**3)*(6 + 9 + 8).\nAnswer: 46*a**3 - 230*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p**3 - 728 - 31*p**2 + 0*p + 8*p + 728.\nAnswer: 14*p**3 - 31*p**2 + 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-45))\/(6 + 74\/(-12)). What is the closest to -1 in g, -1\/14, 2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28557\/5*b**2 - 481\/10*b**3 - 58564\/5 - 1\/10*b**4 + 87362\/5*b = 0 for b.\nAnswer: -242, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - i - 2)*(-31*i - 27*i - 27 + 60*i).\nAnswer: -2*i**2 + 27*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2251810?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -41*d + 2494. What is w(66)?\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 72 = 2*q + q, -v - 55 = -2*q. Suppose -3*r + 164 - q = 0. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -1470?\nAnswer: 1469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 56413 - 2b7?\nAnswer: 56118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 121*p**2 + 237*p - 539. Calculate z(-119).\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4682.\nAnswer: 2, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8934 - 9173. Which is smaller: s or -2387\/10?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100621734590 less than 42?\nAnswer: 100621734632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -695 + 842 = -21*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 12:30 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -15*p**2 + 85*p + 170. Let i(s) = -s**2 + 6*s + 12. Let u(j) = 85*i(j) - 6*z(j). Let q(r) = -121*r**2 + 2. Give u(q(a)).\nAnswer: 73205*a**4 - 2420*a**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -863 and 225 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 187*o + 895*o**4 - 893*o**4 - 8*o**3 + 3*o as a*o**3 + g*o**2 + l + b*o + n*o**4 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2202 (base 4) in base 14?\nAnswer: b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 1. Let x be s(5). Let a = -3 - x. Let o(i) = i**3 + i - 1. Give o(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36860199 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.3 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 1:08 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 3:43 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + u**2 - 2*u**3)*(-22 + 224 + 423 + 71 + 682).\nAnswer: -2756*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1*sqrt(1053))**2 + sqrt(104)\/(sqrt(32)\/sqrt(4))).\nAnswer: -2106 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -31819229 at most -31819228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*t = -2*v + 34, -t - 19 = -3*v. Let q be (v\/(-6))\/(2\/(-18)). What is the derivative of 9*b + 6 - 10*b**4 - q*b wrt b?\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1706\/(2308\/769 + -3). Suppose -4*r + f = 151150. Let n = r - -2409809. Round n to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38287 - -38292. Solve -l - 10 = 5*o, -2*o - h*l - 23 = 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 57 = 5*i. Suppose 2496 = i*t - 852. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 94487\/1680 - 1889\/35. Calculate the common denominator of 149\/216 and f.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 - -65. Suppose g + 2*k - 14 = -0*g, -4*k - d = -2*g. Calculate the greatest common divisor of 154 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g + 3*g - 2*g)*(17*g - g - 7*g) - g**2 + 3*g**2 + g**2 in the form u + d*g + c*g**2 and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*g + 5*v - 1210 = -188*g, -4*g + 988 = -v. What is the greatest common divisor of g and 1107?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-168)\/32)\/(6\/20). Let f = 17 + c. Let z = 1 - 3. Which is bigger: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 1062 = -0*c - 5*w, -4*w = -3*c + 797. What are the prime factors of c?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjt when four letters picked without replacement from jtttttttjtttjt?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 2, -4, -0.0306, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*m**2 - 16*m**2 + 27*m**2 - 12 with respect to m.\nAnswer: -14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dccccdccccdc. What is prob of sequence dcc?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 7:49 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42118393?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 5, -68, -211, -448?\nAnswer: -803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4 = 34. Let v(q) = q**2 + 2*q. Let d be v(-2). Solve d = 3*c - 5*c + g, 2 = 4*l - 2*c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 405 and 1863?\nAnswer: 9315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 8*t + 2. Let g(y) = -33*y - 7. What is 6*g(o) + 22*h(o)?\nAnswer: -22*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0)\/(-4) + (-99)\/(-126)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 698184.2 centuries in millennia?\nAnswer: 69818.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = 3*l - 4*l - 2*c, 0 = -5*l + 4*c + 610. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 8:24 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*y**3 - 10*y**3 + 149*y**2 - 149*y**2 - 7*y**3.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24992 and 215?\nAnswer: -5373280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 12180*h - 38 + 2 + 15 + 12 + (1 + 2 - 5)*(-4 - 9*h + 4) to the form j + y*h and give y.\nAnswer: -12162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41745 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -137\/1138075?\nAnswer: -137\/1138075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -251, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 5, -9 in descending order.\nAnswer: 18, 5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -74.2.\nAnswer: -73.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 11*s**2 - 12*s - 20. Let y be h(-10). Suppose -5*p + i + 64 = y, -5*i + 1 = 2*p - 3. What is the remainder when 19 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 63*x**2 - 1741*x - 2398. Determine u(29).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 16\/5 (c) -1 (d) 0 (e) -6 (f) -2\/3 (g) -70\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**5*z)*z\/(z\/z**(3\/5)))\/(z**(-11)*(z**(-2\/15)\/z)\/z) assuming z is positive.\nAnswer: z**(116\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - ((-44)\/(-55))\/(2\/5). Let b(j) = -11874*j**3 + 2*j**2 + 2*j + 4. Let y be b(o). Round y to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 14*z + 15. Suppose 0 = 11*w + 90 + 75. Calculate the lowest common multiple of x(w) and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/2*(-16)\/(-24)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (216\/14 - 0)*((-32 - 1176\/48) + 60).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {t: 5, q: 4, i: 2, z: 1, w: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*l**4\/5 + 382*l**3\/5 + 472*l**2\/5 + 104*l\/5 = 0. What is l?\nAnswer: -26, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213729 is divided by 213707?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 9. Let q = -2 - -5. Suppose v = 2*n - 4*d, q*n = 3*d + 30 - 12. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**7*q**7)**45 assuming q is positive.\nAnswer: q**720","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -11*q + 160. Let s(w) = -w**2 + 12*w - 5. Let a be s(q). Put -4, 0.07, -0.5, a in ascending order.\nAnswer: -4, -0.5, 0.07, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 - (4 - (-5 + 4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + q**3 - 2*q**3 + 2*q - 2*q + (0*q**3 - q**3 + 2*q**3)*(-3 + 0 + 1) - 3*q**3 + 0*q**3 + 4*q**3 - 36*q**3 + 79*q**3 - 222*q**3.\nAnswer: -181*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -324 + 211. Which is bigger: k or -114?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 210 * 5303.\nAnswer: 1113630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 200\/18 - (529 + -520)?\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*g + 29 - 10, -4*o + 4*g - 8 = 0. Let r(q) = -3*q**3 - 7*q**2 - 4*q + 11. What are the prime factors of r(o)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 3. Suppose -13 = -u*z + 3. Let o(w) = -7*w + 5 + 0*w - z. What is o(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000018154264 rounded to 7 dps?\nAnswer: -0.0000182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 574 divide 157478608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 24*p + 31. Give c(-5).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 923?\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 3*q**2 + 4*q + 5. Is g(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 3473.\nAnswer: 694.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 3, -1, 12, -2, -7 in increasing order.\nAnswer: -25, -7, -2, -1, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 17*y**2 - 18*y + 19. Let s be u(-16). What is the greatest common divisor of 17 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -9. Suppose -4*v + x = -14, v - 1 + 8 = -y*x. Suppose v*q = f - 20, 4*f - 2 = 3*q + 96. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508030?\nAnswer: 2, 5, 101, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38.92 + -39. Let v = -0.047 - s. Round v to 3 dps.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23998 is divided by 300?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 15 = -0*u + l, 0 = 5*u + 2*l - 25. Suppose -3*k = -2*j + j + 2, -3*j + 6 = k. What is the remainder when 8 is divided by (j - u) + 1 - 5*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*m - 494 = 55, -g = 3*m - 541. Is 34 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3417152 is divided by 1120.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -5. Let n be (-4)\/(-1)*(2 - (-42)\/6). Suppose -3*q = 5*p + 40, 2*p - n = -6*q + 10*q. Which is the biggest value? (a) q (b) 0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4789 - -0.1789. What is the nearest to -1\/4 in a, 306, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9439 divided by -23.\nAnswer: -9439\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-five halves of a gram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33333001320 - -2023?\nAnswer: -33332333231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 14*x = -9792. Find the second derivative of 18*l + 14*l + 1118*l**5 - x*l**5 wrt l.\nAnswer: 600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12417 = 161*u - 3039 for u.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 10:05 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 1 + 7. Suppose -l*q - 5*g = 2, -3*q = -3*g - 10 - 8. Let m = 27\/88 + -2\/11. What is the closest to 1 in m, q, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -73. List the prime factors of g.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120303 (base 4) to base 16\nAnswer: -633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4\/13 - 24*g**3\/13 - 70*g**2\/13 - 48*g\/13 = 0.\nAnswer: -8, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/37301400 and 83\/318000.\nAnswer: 373014000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1330 + 386377?\nAnswer: 387707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 5*j. Determine v(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -950 + 954. Let g(a) be the third derivative of 15*a**2 + 0*a + 1\/2*a**3 - 3\/8*a**f + 0. What is the first derivative of g(r) wrt r?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**2 + 3*m**4 + 4*m**2 + (8*m**3 + 30*m**3 + 6*m**3)*(-m + 2 - 2).\nAnswer: -41*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5349495\/887 + 6031. Let b = t + -1796\/9757. Sort 1, 0.3, b in descending order.\nAnswer: 1, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8793 - -8796. Let q(k) = 5*k**2 - 2 + 2*k**2 - 4*k - 2. What is the units digit of q(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -832 and 100?\nAnswer: -83200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.13 + -0.26. Let q = z + 0.12. Let d = q + 5.01. Which is the closest to 0? (a) d (b) -2\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2006916402?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1, 43, 109, 205, 337?\n\"Answer: h**3 + 6*h**2 + 17*h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n**(-5)*n*n*n)\/n))\/(n*n*n**(4\/7)))**(4\/19)\/(n**(-1)\/(n\/(n\/(n*n\/n**(3\/4)))*n))**(1\/6) assuming n is positive.\nAnswer: n**(2689\/3192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59977546 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**5 + 30*q**4 + 25*q**3 - 150*q**2 - 20*q + 120 = 0. What is q?\nAnswer: -2, -1, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -139\/64423?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 244 + -162. Let i = -9 - t. Are i and -90 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*d = 15. Suppose 3*j = 4*a + 29, -j - j + d*a = -31. Suppose -j = x + 1. Round x to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9574.4 - -9574. What is the second biggest value in d, 1, 0.0358?\nAnswer: 0.0358","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4849725591 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (1 - 3)) + (5 - (-3 - -9))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -10*c**2 + 0 - 14 - 3*c + 11*c**2. Does 3 divide w(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 548 + -552. Let n(p) = -156*p + 176. List the prime factors of n(v).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 0*l - 1\/60*l**5 - 5\/2*l**2 - 1\/3*l**4 - 6 - 1\/6*l**3. Let s(p) be the second derivative of c(p). Give s(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*i**2 - 2*i**2 - 2*i**2)*(-2*i + 4*i + 0*i) + (-i + 4*i - 2*i)*(-4*i - 3*i + 5*i)*(-4*i + 4*i - 2*i) to o*i**2 + g*i + k + r*i**3 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*k - 6 + 11*k + 3)*(-6*k - k + 2*k).\nAnswer: -5*k**2 + 15*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -20*s**3 + 36*s**3 + s - 11*s - 9*s**3 + 33*s**2 = 0.\nAnswer: -5, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**8\/1176 + 2*d**7\/735 - d**6\/140 - 2*d**5\/105 + d**4\/21 - 2*d**2. Factor r(n).\nAnswer: 2*n*(n - 1)**2*(n + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1281, -1384, -1555, -1794?\n\"Answer: -34*f**2 - f - 1246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6786 * -10\nAnswer: -67860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 11 - ((24 - 10) + -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 68486566 to the power of 1\/2, to the nearest integer?\nAnswer: 8276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-6 - 0) + -5 + 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -7*y**3\/6 + 11*y**2\/2 + 3*y + 25. Let r(g) = -4*g - 8. Let h(p) = p - 1. Let s(n) = 24*h(n) + r(n). Give -17*b(w) - 6*s(w).\nAnswer: -w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = h + 12, 0 = -1800*h + 1784*h - 176 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3 = 7. Suppose -g*a = d - 3*a + 5, 0 = -2*d - 3*a + 15. Suppose d = -z + 28 - 4. What is the greatest common factor of 36 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 10*q**5 - 30*q**4 + 43*q**3 - 51*q**2 + 19*q - 3. Let t(c) = c**5 - c**4 - c**3 - c**2. Let i(x) = -k(x) + 6*t(x). Let i(d) = 0. What is d?\nAnswer: 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 0*o**2 + 8*o + 0*o**5 + 0*o**4 + 0 + 1\/5*o**6 + 1\/2*o**3. Find the second derivative of l(s) wrt s.\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 1. Suppose -444 = -y*h + 435. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w. Let c be -1 + (-4)\/(-2) - -2. Give o(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 11042130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -68a + -4?\nAnswer: -68e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 4*n + 7. Let i be m(5). Suppose 0*d + 6 = i*d. Let v(l) = 9*l**2 - 4*l. Is v(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.103, -5, 3, 1\/5, -2\/161 in descending order.\nAnswer: 8, 3, 1\/5, -2\/161, -0.103, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 98\/(5 - -9) + (-51)\/6 + 1. Which is the nearest to t? (a) -7\/24 (b) -2\/7 (c) -4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-27)\/(-45))\/(4\/50).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**6\/180 - c**3\/6 - 2*c**2. Let v(o) be the first derivative of b(o). Let x(l) = -l**2. Determine v(x(f)).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 135261511*f*u**2 - 230*f*u + 2*f - 8*u + 11548 wrt u?\nAnswer: 270523022*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 13 = 7*s - 2*s, 3*s - 1 = v. Let t(o) = -2*o**3 + 2*o**2 - o. Let p be t(s). Let k = p + 1. Solve k = -4*f + f - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/696748 and 27\/5573984.\nAnswer: 5573984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -11. Let b be (-10)\/(-8) - (-2)\/(-8). Is p at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106.1 * -0.4\nAnswer: -42.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2872*k - 2563. Is p(3) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -14*f + 1. What is the least common multiple of f and 101?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.24165, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 18 + (-4 - 7 - -5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1611 times -0.3\nAnswer: 0.04833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u**2 + 5*u - 2. Let a be g(3). Let q(z) = -z - 16. Let y be q(a). Let p(k) = -2*k**3 - 3*k**2 - k + 1. Give p(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -6*l + 3*l. Suppose -3*r - 2*r + 10 = 0. Calculate the remainder when l is divided by (6\/(-18))\/(r\/(-36)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -3, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -34. Suppose 2*i + 65 = 5*m, -w*i = -3*m + 7*m + 86. What is i rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 - 4*w**2 - 4*w - 2. Let b be z(-2). Calculate the remainder when 58\/b - (-10)\/(-15) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j. Let r(c) be the third derivative of c**5\/15 - c**4\/6 + 2*c**2 - 24*c. Calculate r(g(u)).\nAnswer: 36*u**2 - 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -35 + (-1 - (3 + 1)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/g**(4\/3)*g\/(g\/g**(-21))*g assuming g is positive.\nAnswer: g**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zqrr when four letters picked without replacement from zrzrzzqrzrzzzzqqqqqz?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -7*y. Let c(s) = -6*s. Let g(m) = m**2 - m - 9. Let l be g(0). Suppose -4*j + 4*i = i + 29, 2*i + 9 = -3*j. Let a = j - l. Calculate a*b(t) - 5*c(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 7 = -g, -3*g - 2*g = -2*k - 49. Let o(v) = -4304*v + 9 + 4 + 4303*v. What is the units digit of o(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**15)\/(x\/(x*x**(-6)*x)))**(-43) assuming x is positive.\nAnswer: x**817","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1027070.\nAnswer: 2, 5, 11, 9337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 149787587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-3)*54\/(-15). Let n = -5 + j. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181704 a multiple of 452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*d - 23 = 0, -p - d = -2*d - 1. Let s be (1 - 2)*p - -5. Suppose -15*c - 57 = -102. Solve -s*w - 2*l + c = -3, 2*l = w - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**6\/96 + 35*k**4\/96 + 5*k**3\/4 + k**2. Factor v(r).\nAnswer: -5*(r - 3)*(r + 1)*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5 - 4. Suppose i*m - 68 = -17. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1698232?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2513.2981 + 2390.29891. Let q = -123 - h. Round q to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -136d8?\nAnswer: -136d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-79686)\/(-176148)*2\/(-38).\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0\/(-4) + -8 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 708?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13986230 to the power of 1\/2, to the nearest integer?\nAnswer: 3740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007322528 to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 3:25 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (9664\/(-1510))\/((-2)\/(-8)*11*144\/4950)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 9 = 3*n + 1, -14 = -2*k - 3*n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 69.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -104*n - 14. What is o(-1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 300204517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -30. Let h = k - -14.6. Which is the third smallest value? (a) -5 (b) h (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/14, 44, 2\/7 in increasing order.\nAnswer: 3\/14, 2\/7, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-4 - -13) + (-4 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -107 + 270. What are the prime factors of j?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*g = -0*m + 21, -3*m - 19 = -g. Let w be m\/(-24) + (-11)\/(-4). What is the nearest to 0 in w, 1\/7, 0.2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 + 58. Suppose 5*s + 5*z = -20500015, u*s + 20500006 = -4*z + 2*z. Round s to the nearest one hundred thousand.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 60 = -7*q. Let x = 6 - 3. Suppose x*f - 6*f = -102. What is the remainder when f is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 - (8 + -9 + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 0*o + o)*(-7*o**2 + o**2 + 10*o**2 + 4).\nAnswer: -4*o**3 - 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -55*o**3. Let t = -4 + 0. Let s(u) = -5*u**3. Determine t*n(v) + 45*s(v).\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11205984 divided by 1867664.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/5*1*1. Suppose 4*x - 8 = 5*c, 0 = 4*x + 2*c + 9 + 11. Let f be 2\/(-3 - (-9 - x)). What is the closest to f in -2\/9, n, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -39*f**2 - 4514*f - 26969. Determine b(-6).\nAnswer: -1289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 13*t**2 + 11*t + 5. Let n be x(12). Suppose 4 = 2*p + 2, 0 = 3*a - 2*p + 14. Let c = a - n. Solve 1 + 14 = c*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13462331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*h + 786*h + 485 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 572418.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2104 divided by -8.\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 5*l + 5. Let o(m) = -3 + 1 + 0 + m**2 - 2 + 2*m. Calculate the remainder when o(-7) is divided by w(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 23*j**2 - 10*j + 21. Let o be a(-22). What is the tens digit of (-2)\/(-9) - 4077\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -149 + 56 - (23 + -101).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c + 43*c = -104 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -2 (c) -11 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61807*k + 61407*k - 9988 - 17930 = -1118 for k.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 13*a**2 + 29*a - 74. Let i be t(11). Solve -i*q - 26 + 38 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*h + 5*i, -7*i = 5*h - 10*i - 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fifty-five halves of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*v**4 + v**3 - 543*v**2 - 537*v**2 + 1079*v**2 + 6*v - 4 to q*v**4 + g*v**3 + y*v**2 + p*v + n and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.3, -2833, 0.05?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152 + 120 = -128*m + 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + f = 6*f + 27, 4*x = -2*f - 90. What is the remainder when 22 is divided by 2\/(x\/(-18) - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.3, -19, 0.2 in decreasing order.\nAnswer: 0.3, 0.2, 0.1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 3*s - s)*(4 - 1 + 0)*(-7*s + 0 + 0 + 1 - 1 - 2*s + (-3 + 1 + 3)*(3 - s - 3) + 4*s - 4*s + s) as z + n*s + k*s**2 and give k.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-6))\/((-20)\/((-1200)\/(-45)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/77 + (-29646)\/1342?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g + 7*g - g + (83 - 55 - 281)*(-5 + g + 5).\nAnswer: -246*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -2*v**6\/3 - v**2\/2 + 8. What is the second derivative of w(r) wrt r?\nAnswer: -80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31 - -4?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c. Let s(v) = -26*v**2 + v. Give s(f(x)).\nAnswer: -416*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-551)\/665 + (6\/(-4) - 324\/(-168)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -800, -1653, -2504, -3353, -4200, -5045?\nAnswer: -5888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 9) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*q + 11 - 156, -3*q = 4*p - 117. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-4)*g)**(-23\/3)*((g\/g**(-2\/5))\/g)**12 assuming g is positive.\nAnswer: g**(302\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -57*v + 570. Let w = 21456 - 21446. Determine i(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 100*y + 2521. Determine d(44).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1829 divided by 3.\nAnswer: -1829\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 834 - 523. Let t = 72 + d. Suppose 0 = 3*q - 2*j - 4902 + t, -2*q + 3012 = -2*j. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 312557*x**2 - 283486*x wrt x?\nAnswer: 625114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 8 - 3. Let x be (-105 + -11)*(k - 10). Suppose 4*u = -0*u + 20, 3*p - u - x = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q**3 - 9*q**3 - 25*q**3)*((-1 - 5 + 4)*(-3 + 3 - 2) + 6 - 2 - 2 + 3 - 1 - 3 + 169 - 119 + 327 - 4 + 6 + 0).\nAnswer: -10368*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 0)*-6 - 0. Suppose 0 = 5*n - 2*o - 12, 4*o = 4*n - 0*n - q. List the prime factors of (-68)\/(-8) + n\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6947980, 6947984, 6947988, 6947992?\n\"Answer: 4*m + 6947976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9552379 and 17164?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8320 = -5*h + 5*k, -k + 1680 = h + 20. Let l = -745 + h. Is l 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 202368?\nAnswer: 2, 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = -13*n + 12*n. Suppose -286 - n = -6*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.02 + -14. Let o = h + -2.02. What is the second biggest value in 4\/7, o, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100 (base 2) in base 10?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 241 - 158. Let n = y + -83.5. Which is the biggest value? (a) 0.3 (b) 16 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 5 = -3*o + 4*o - 9 + 10, 23 = 3*s + 5*o - 16 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (63 - 63 - (2 - 3 - -1))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 14*d**2 + 12*d - 8. Let u be o(-13). Suppose 0*i = -u*i + i. Is i less than 7\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-4*2*sqrt(192) - (sqrt(192) - (-5 + (sqrt(192) - 2*sqrt(192))))))**2.\nAnswer: 1600*sqrt(3) + 19300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = 7*l - 845. Let k = l + -95. Solve -5*q - b - 25 = -6, -q + 3*b = k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*f - 2207929 = -2206569 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 + -18. Suppose 5*o + 5*i + 137 = 3*i, -16 = -4*i. Let f = w + o. What is the greatest common factor of 154 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135200 rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from {n: 1, g: 6, o: 1, b: 1, k: 1, l: 3}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**3 - 962*y**2 - 88994*y + 2134. Calculate f(-356).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 t, 1 f, and 1 e when four letters picked without replacement from ewjwntfn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -774*a**3 + 63*a**2 + 63*a - 63. Suppose -412 - 218 = -10*y. Let u(w) = -25*w**3 + 2*w**2 + 2*w - 2. Calculate y*u(c) - 2*d(c).\nAnswer: -27*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26601584 + 26601590.0000004. Let r = b + -6. Let t = r - 0. What is t rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369514 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 43436174?\nAnswer: 43436175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 7:23 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14065 divided by -155?\nAnswer: 2813\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.145585 - -0.043555. Let x = d - 1.19. What is x rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3 - -7.3. Let p = m - 4. Let d be ((-4)\/6)\/(2\/9). Which is the closest to 0? (a) d (b) p (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*s = 2*s + 69, 4*s - 42 = -2*m. Suppose m*f = 29 - 3. Suppose 3*z + 3 = q, -f*q + 3 = -2*z - z. Solve h = 2, q = -3*k - 3*h - 0*h + 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6*x. Let m(v) = 31*v. Let w(p) = 11*a(p) + 2*m(p). Let s(q) = -3*q + 3*q - 4*q + 2 - 3. Let g(b) = -2*s(b) + 3*w(b). Calculate g(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1020 is divided by 94.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 104 = 3*i. Calculate the remainder when 103 is divided by i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1342\/1220*729\/297?\nAnswer: 27\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2002111200 (base 3) to base 15.\nAnswer: c313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 34 = 3*u + 5*w, u - 5*w = 72. Sort u, -1, -5, -4, 8 in ascending order.\nAnswer: -5, -4, -1, 8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 219 + -211. Suppose -3*j - 10 = -4*j. Calculate the smallest common multiple of o and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83*l**2*o**2 - 8*l**2*o + 134*l*o**2 - 2*o**3 - 5567*o wrt o?\nAnswer: -166*l**2 + 268*l - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.571096222 to 2 dps.\nAnswer: 13.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 0. Let k = 50 - 19. Let x = k - 36. Which is greater: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 4*t + 16, -26*o + 28*o + 4*t = 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 825 and 7005.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1742530?\nAnswer: 2, 5, 271, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 4. Suppose 0 = -63*k + 68*k - 1430. Let y = 285 - k. Let o(w) = w + 1. Give y*l(h) - 2*o(h).\nAnswer: -h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 1 = 2*c. Suppose s - 1 = -5*g, -s - 2*s - c*g + 3 = 0. What are the prime factors of (60 + 0)\/2 - s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -421, -3, 0, 3707.\nAnswer: -421, -3, 0, 3707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -9474850 smaller than -9474779?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 572 + -570. Let p = -9 - -19. Suppose 0 = -t*s + 14 - p. Solve -5*j + 3*h = 20 + 3, s*h = 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4\/3 + 62*o**3\/3 + 340*o**2 + 600*o = 0. Calculate o.\nAnswer: -30, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 2*r - h - 8, -2 = r + h. Is (14\/(-1))\/r*-29 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3566.6 - -3569. Which is the nearest to -1\/4? (a) 6 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18090 and 1680?\nAnswer: 1013040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (-3 + (-7 - -198)*-3). What is the greatest common divisor of n and 120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -15. Let w be 244\/a + 6\/(-4). What is the second derivative of -w*r**2 + r**3 - r - r + 29*r**2 wrt r?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19\/8 + 369\/40. What is the common denominator of -7\/5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7563601329185 + 8\nAnswer: -7563601329177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 4*h**2 + 7*h - 3. Let f be c(5). Solve 0 = -6*a + a - 3*p + f, -2*a = p - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.915179us in minutes?\nAnswer: 0.00000013191965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1666 - -150. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 147 - 139. Let m(a) = a. Let n be m(6). Factor 0*q**3 - 7*q**3 + 2 - 7*q**3 + n*q**3 + 2*q**4 - k*q + 12*q**2.\nAnswer: 2*(q - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178890 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 347, 5, 17, 1 in ascending order.\nAnswer: 1, 3, 5, 17, 347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -347 (base 16) to base 10\nAnswer: -839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 457 - 3211\/7. Suppose 0 = -5*z + 864 + 81. Calculate the common denominator of (-480)\/z + 40\/(-70) and t.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 272\/204*3\/24. Sort t, -1.6, -0.2, 1\/4, -2 in descending order.\nAnswer: 1\/4, t, -0.2, -1.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*w + 1 + (w - 3*w + w)*(1 - 3 + 1) - 3*w + 11 - 11)*(4*w - 6*w + 4*w).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*3\/9)\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(3\/2) - (-12 + 1). Find the first derivative of -6*i**4 + 31 - 15*i**4 - 5*i**4 - m*i**4 wrt i.\nAnswer: -140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 328*r - 109*r - 481 - 103*r - 115*r to the form x + l*r and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -1. Let x(y) = -y - 3. Let a(c) = x(c) - 3*z(c). Let p(v) = v**2 - 2*v + 2. Let i be p(2). Let j(l) = -l + 0*l + i*l. What is j(a(d))?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1455022*w - 4842600?\nAnswer: -1455022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h + 1. Let a be d(1). Suppose 5*r = 3*m - 24, r = -2*m + 35 - a. What is the remainder when 49 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/117 and (10 - (-1570)\/(-156))*57.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 894914 - 557514. Round m to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178838054.\nAnswer: 2, 89419027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -220.9651 + -0.0349. Let d = h + 144. Let s = 70 + d. Sort s, -4\/5, 0 in decreasing order.\nAnswer: 0, -4\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 1854883525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 - 562\/7. Suppose 0 = 3*i - 2*x + 33, -5*x = -146*i + 149*i - 30. Which is the second smallest value? (a) -0.4 (b) i (c) v (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*v = 14810, 9*x = 7*x - v + 5924. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51304048 to the power of 1\/2, to the nearest integer?\nAnswer: 7163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -16*j**2 + 87*j - 32. Determine p(4).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b4 + 1?\nAnswer: -2b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 32*i = 198 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287033?\nAnswer: 19, 15107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -18*g + 415. What is m(24)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 11726.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 5*i**2 + 5*i - 1. Let n be y(4). Suppose -3*w - 3*v = v, -n*w - 2*v + 6 = 0. Is 2\/w*-2 + 7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**7\/360 - 35*b**4\/24 - 20*b**2. Let u(z) be the second derivative of d(z). Let n(h) = 3*h. Determine n(u(l)).\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 232 and 892 - 27 - (-11 + 6)?\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**5\/30 + g**4\/12 + 4*g**3\/3 + 12*g**2. Does 11 divide b(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2472547 divided by -23?\nAnswer: 2472547\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-18)*(5 + 1). Solve -a + 8*i = 9*i - 6, 12 = j*i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 - -1)\/1*23?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38688439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 7*i - 4. Let a be w(8). Suppose 2*b - 20 = -b - a*v, 2*v = 4. Let k = 13 - 9. Solve h - 4*h + n + 2 = 0, 2*n + b = -k*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249691?\nAnswer: 13, 19207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 327 - 276. What is the third derivative of c*t**5 + 18*t**2 + 54*t**5 + 15*t**2 - 103*t**5 wrt t?\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.40282 to 2 dps.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 1. Suppose 0 = n - 5 + 2. Let c(f) = -9 - f + 4 + 5*f + n*f**2. Let v(j) = c(j) - 4*l(j). Differentiate v(a) wrt a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 3. Suppose c = 3*r - 19 - 32. Solve u = -4*m - 3, -3*m + 4*u = 5 - r for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167403953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k. Let m(i) be the third derivative of 7*i**5\/30 + 21*i**2. Determine m(y(z)).\nAnswer: 56*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 7:36 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*i - 5 = 3*i, 2*b - 5*i = -2. Let u = b - -5. Solve -16 = -0*n - u*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35889 and 40894.\nAnswer: 209663538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -254*m*x**5 - 6*m*x*z + 114*x**5*z - 4220*z wrt x.\nAnswer: -5080*m*x**3 + 2280*x**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.050435 and 10?\nAnswer: -20.50435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 264*z + 2199. Determine g(-8).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r - 3*r**3 - 4*r + (-r**3 + 17*r**3 - 97*r**3)*(0 + 0 - 1) - 99 - 5*r**3 + 99.\nAnswer: 73*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.4 + -4. Let l = -4.95 + 0.95. What is the nearest to -2\/5 in 1\/2, d, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 3*q + 11. Let x(w) = -2*w**2 - 3*w + 13. What is -6*c(f) + 5*x(f)?\nAnswer: -4*f**2 + 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*n*q**4*x - 9*n*q**4 - 2*n*q**2*x - 2*n*x - q**4*x + 44*q**2*x + 2*x wrt q?\nAnswer: -144*n*q*x - 216*n*q - 24*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0547 + -37.9453. Let l = 32.28 + y. What is l rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 198466 + -648466. Round v to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -72627 in 2\/13, -3\/4, -1, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aagjyagjyaaaaay. Give prob of picking 1 a and 2 g.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/4)\/(3\/(-54)). Let x = k - -11. Suppose -o = -x*o + 16. Solve 10 = 3*b + 2*b, 4*v = 2*b - o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -5*t**5\/3 + 660*t**4 - 63330*t**3 - 1193960*t**2\/3 - 603335*t - 269340 = 0.\nAnswer: -4, -1, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 33*m**3\/8 + 4881*m**2\/2 + 57681*m\/2 + 86076 = 0.\nAnswer: -6376\/11, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 5*b**3\/6 - 2312*b + 2. Let s(r) = -1909*r**2. Determine a(s(z)).\nAnswer: -9545*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 32*n. Let c(x) = -5*x**2 + 3*x + 2560. Calculate s(c(d)).\nAnswer: -160*d**2 + 96*d + 81920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 84\/(-8))\/(1\/44). Let m = -447 - k. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1132 = 15*a + 247. Suppose a - 82 = 23*g. Let l(k) = k**2 + 1. Give l(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 91 in descending order.\nAnswer: 91, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*a - a - 3*a)*(a**2 + a**2 - 4*a**2)*(18 - 18 + 2*a**2).\nAnswer: -16*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37704, 75403, 113080, 150729, 188344, 225919, 263448?\nAnswer: 300925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 21*w - 896. What is a(0)?\nAnswer: -896","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*t = 40, t = 176*z - 175*z + 10. Let k = 9 + -5. Let h(p) = -9*p**3 - 4*p**2 - 4. Let b(r) = -r**3 - r**2 - 1. Calculate k*b(d) + z*h(d).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2669 is divided by 107?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 + 10*l + 14. Determine j(-7).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/19, 4, 0.025, 2?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255887*l - 255887*l - 6*l**3.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-1 + (-4)\/(-8)). Let o(m) = -8*m**2 + 2*m - 2. Let c(n) = -9*n**2 + 3*n - 3. What is z*c(q) - 3*o(q)?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -38. Suppose 0 = w - 9. Calculate the highest common factor of l and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111220 - 102?\nAnswer: 111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 2*a - 638969 + 638927, 0 = 5*m + 2*a - 70 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 767000 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 - 25*f + 168*f - 49*f)*(-3 - 73 + 15) in the form q*f + p and give p.\nAnswer: -1220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*n**2 - 3*n**2 - 12*n**2 - 5*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 5*o**2 - 90*o + 280 = 0.\nAnswer: 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -1\/40*n**6 + 0 - 3*n**2 + 0*n**5 + 0*n**3 + 0*n - 1\/8*n**4. What is the second derivative of f(q) wrt q?\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -17*m**3\/2 + 53*m**2 - 70*m + 73. Let y(h) be the first derivative of j(h). What is the derivative of y(v) wrt v?\nAnswer: -51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((3*sqrt(6)*1 - sqrt(6)) + sqrt(54)\/(2*sqrt(9))))\/(sqrt(14)\/sqrt(28) - (sqrt(72)*-2 + sqrt(2))).\nAnswer: -10*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q + 9 = -8*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 798 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*w - 0*f + 4, w + f - 4 = 0. Let k(o) = 1 - 3*o + 5*o - o**w + 1 - 3. Calculate k(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1612 = 5*i - 3*i, -3*z = 2*i - 1210. List the prime factors of z.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-1\/6)*t*(t**(-2\/7)\/t)\/t*t assuming t is positive.\nAnswer: t**(37\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 10*d + 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (0 - 1) + 6 + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 8615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/4*4 + 16 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.685 * 0.5.\nAnswer: 0.3425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -32, -75, -136, -215, -312, -427?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7*b**2 + 55. Let x(n) = -3*n**2 - 28. Let v(f) = 4*q(f) + 9*x(f). Let a(w) be the first derivative of v(w). Let o(l) = -19*l. What is o(a(z))?\nAnswer: -38*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 6*q + 8. Suppose 0 = -4*b + 2*b + 4. Suppose 2*a + 8 = -0*v - b*v, -5*a + 4*v = 47. What is s(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = z + 40. Suppose z*x + 241 = 271. Solve -h - x*i - 3 = 0, -i = -4*i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -177, -202, -243, -300, -373, -462?\nAnswer: -567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aammamammmaamm?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 2)*(11 - 11*y**4 - 11) - 41*y**4 + 24*y**4 - 40*y**4 to the form z + a*y**3 + c*y + s*y**4 + g*y**2 and give s.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c + 5*c - 7*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqg when three letters picked without replacement from {g: 1, q: 1, e: 2, m: 1, f: 1, u: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-84)\/210 - 8286\/360. Is -24 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3 + i - 1 + 1. Let o be j(-7). Let h(v) be the third derivative of -v**4\/12 - v**3 + v**2. What is h(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2*u - 91 = 3*w, -4*w = -u + 104. Let g = w - -27. Suppose 0 = -g*k + 8*k - 300. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/9, -12, -1528?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.621174 rounded to two decimal places?\nAnswer: 40.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4875\/375*12\/26.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -3 + (1 - -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 279\/36)\/(20\/32).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/8129711 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 5*m**2 + 5*m + 59. What is b(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 2858619.\nAnswer: -2\/952873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25228 is divided by 1473.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -141.1411 to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 6*d + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 216\/(-144)*14\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -66287, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8231*s**3 + 2719*s**3 + 2750*s**3 + 2765*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -49*s**2 + 0*s**3 + 1\/45*s**5 - 1\/180*s**6 - 1\/36*s**4 + 0 + 0*s. Factor c(x).\nAnswer: -2*x*(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 2*a**2 - 2*a**2)*(a**3 - 2*a**3 + 0*a**3) - 12*a**3 + 12*a**3 + 8*a**5 - 2*a**3 + 4*a**3 + 2*a**5 - 4*a**5.\nAnswer: 5*a**5 + 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21152 and 11.\nAnswer: -232672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 67*k**3*n + 111*k**3 - 8*k**2*n + 3*k**2 - k + 3*n wrt n?\nAnswer: 67*k**3 - 8*k**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 18 = b. What is the remainder when (-2)\/6 + (-49)\/(-3) is divided by (-1)\/((4\/b)\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k + 64035 = -7*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frrr when four letters picked without replacement from rrrrfrrffffrrfrrrr?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*y**2 - 68*y**3 - 69*y**3 + 142*y**3 + 80*y.\nAnswer: 5*y*(y + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.04, -4.877, -1\/7, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14687 - 925244\/63. Let z = 7372\/3 + -51683\/21. What is the common denominator of n and z?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 5*i**2 + 7. Let o be f(-5). Let m(h) = -5 + 10 + 4 + 0 - 2*h. What is m(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 0.1, 2\/19, 0.2.\nAnswer: -59, 0.1, 2\/19, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 233425, 466827, 700229, 933631?\n\"Answer: 233402*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -557.718826 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26.85 - -27. Round t to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -15 + 77\/2*s**2 + 87\/4*s**4 + 0*s + 0*s**3. What is the second derivative of c(m) wrt m?\nAnswer: 522*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -2641.4?\nAnswer: -2641.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**6*j)\/j*j)\/j)\/(j\/((((j**(1\/5)\/j)\/j*j*j*j*j)\/j)\/j))*j**(1\/3)*j**(-1\/3) assuming j is positive.\nAnswer: j**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-23)\/(((-2)\/6)\/(11713\/159)) a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.0012149.\nAnswer: -0.0012149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749735 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -904\/3 or -300?\nAnswer: -300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -172162 (base 8) to base 10\nAnswer: -62578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 868, 1752, 2654, 3580, 4536, 5528, 6562, 7644?\n\"Answer: s**3 + 3*s**2 + 868*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 6 = 2*h. Let a = 1 + h. Suppose -5*g + a*i = -10, 2*g = 6*g + 2*i - 8. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*c + 7*c + 44*c)*(-3 + 4 - 2).\nAnswer: -76*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 6:03 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15862 - -15859. Sort 3, 0, 1, -34, w in descending order.\nAnswer: 3, 1, 0, w, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 10:48 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-10))**(-1\/18)*l**(10\/9)*l**(-24))**41 assuming l is positive.\nAnswer: l**(-2747\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 7. Let a(x) = x. Let k(f) = -3*a(f) - p(f). Let s(d) = d + 6. Let g(v) = 3*k(v) + 4*s(v). What is the derivative of g(z) wrt z?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1310, 5248, 11810, 20996, 32806, 47240, 64298?\n\"Answer: 1312*l**2 + 2*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (sqrt(72) + 1)**2) + -3 - (2 + -1*sqrt(72)))*4 - (3 + -3*(5 + sqrt(72) + sqrt(72)*2)).\nAnswer: -300 + 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19087?\nAnswer: 19087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 3. Let r(z) be the second derivative of z**4\/6 - 10*z. What is o(r(l))?\nAnswer: -2*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**3\/3 + 5*r**2\/2 - 9*r + 4. Let o be s(-7). Solve -o*g + 1 = -19 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 686964632070 - 686962257011.999986. Let x = p - 2375041. Let l = x + -17. Round l to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 343\nAnswer: -15\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -134.3959 - -112026.509.\nAnswer: 111892.1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12649 divided by -12649?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -6 (b) -0.7 (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 25*c + 355. Let b be w(-14). Suppose -p - 4*f = -7*f + 20, 0 = -2*p - 4*f + 10. Let x = b + p. Solve -4*g + 20 = x, 2 = 5*l + 4*g - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1153 (base 8) to base 5.\nAnswer: 4434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 300 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19.9 - 58.1. Let n = u - -77.71. Which is the second smallest value? (a) -2\/9 (b) n (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26300 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c**2 + 7*c**2 + 5*c**2 - 15*c**3.\nAnswer: -15*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 163*g**2 + 6173*g - 319. Give f(-60).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -126*s**2 - 452*s - 9. Let f(m) = -503*m**2 - 1809*m - 34. Let n(t) = 15*c(t) - 4*f(t). Find the second derivative of n(h) wrt h.\nAnswer: 244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*s**2 + 0*s**2 - s**2)*(3*s - 3 + 3) + 0*s**2 + s**3 + 0*s**2)*(-3 + 3 + 2 - 2*s**2).\nAnswer: -8*s**5 + 8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/3, -4230, -54, 2, 2\/5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2. Let z(w) = -3 - 5*w**2 + 5 - 3. Let k be z(1). Let m(u) = -17*u**2 - 13. Let r(i) = -8*i**2 - 6. Let v(j) = k*m(j) + 13*r(j). What is v(s(g))?\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**5 - 2*w**4 + 7*w**3 + 4*w**2 + 6*w. Let a(z) = -z**4 - z**2 - z. Let t(c) = -6*a(c) - o(c). Solve t(b) = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00426787 rounded to 5 decimal places?\nAnswer: 0.00427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 7*k - 10. Let q be z(-7). List the prime factors of ((-45)\/q)\/((-2)\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 19, -3, -189, 69, 0, -2 in decreasing order.\nAnswer: 69, 19, 0, -2, -3, -4, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (2 - 4 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.6654 millennia in months?\nAnswer: 355984.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60554.62 - 0.5.\nAnswer: -60555.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/2)\/j)**(-33))**(1\/21)*(j**(1\/2))**(-2\/71)*j**4*j*j**(-4)\/j*j*j*j assuming j is positive.\nAnswer: j**(3749\/994)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**3 + 222*m + 237*m - 459*m - 5*m**3 - 2020 in the form o*m**2 + g + s*m**3 + f*m and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1155648 is divided by 5807?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -336*c + 339*c - 6, -3*c = -2*p - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15136961 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -19 + 38 - -7?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + x + 2 = -5, -3*x + 19 = u. Let r be 2 - (-3 - (1 + -2)). Suppose 0 = -r*n + n + 15. What is the biggest value in n, u, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/7 + 38\/7. Suppose 0*a - 20 = -2*a. What is the derivative of -b - 2 - 1 + 3 + a*n**4 wrt n?\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from xoxooooooxo?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/529 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*i - 0. What is the biggest value in -3, i, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233.2899 months in millennia?\nAnswer: 0.019440825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2)*24\/20.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 6 = -5*z, -z + 10 = -4*z - t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*y**2 - 3*y**4 - 3*y + 6*y**3 + y + 2*y - 1 - 76*y**2 to the form h*y**4 + i*y + s + u*y**2 + b*y**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**31*z\/(z**12\/z))\/(z**2)**(-16\/3))**(21\/4) assuming z is positive.\nAnswer: z**(665\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.803338 kilometers in micrometers?\nAnswer: 1803338000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 5) to base 13.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 472153.05 rounded to the nearest ten thousand?\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 41192 to the power of 1\/2, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/218*5145\/5145.\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 3*p + p + 84 = 0, -5*p - 108 = -w - 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 6, 93 = -3*z + 2*x - 0*x. Let l be (-2)\/3 + (-8932)\/z. Let u be l\/(4\/(2040\/9)). Round u to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13217504?\nAnswer: 2, 29, 14243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 5:19 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42775, 85542, 128309, 171076, 213843?\nAnswer: 256610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 12*j)*(-4 + 4 + 2 + (1 + 1 - 1)*(1 + 3 - 2))*(2 - 5 + 0).\nAnswer: -144*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (17\/5 - 1)*-20. Let r = y - -87. What is the remainder when r is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4180 divided by -19?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2212834 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -191 - -499. Suppose 0 = i - 5, 2*o - r = -0*o - 2*i. Suppose -4*n = -2*t - t + o, -5*n = -t + 68. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 933 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 - 117 = -42*c + 66 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.301 - -243.\nAnswer: 243.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/108*(-12)\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2093473\/123 - 17020. Calculate the common denominator of x and -23\/738.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -42\/11, -4\/3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 2*a + 2*a)*(-4 + 3 - 1) - 7*a - 9*a - 3*a.\nAnswer: -17*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -23636751 less than 126.13?\nAnswer: 23636877.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2, -10, -24, -44, -70, -102?\n\"Answer: -3*w**2 + w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -80616.9522 to the nearest 100.\nAnswer: -80600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u - 164. Give z(21).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 9*a = -36. What is the least common multiple of (2\/1)\/(7 - 114\/a) and (8 + 0)*6\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-78))\/(1996\/(-12974))\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(20\/11)\/(u*u*u*u*(u\/u**(12\/5)*u)\/u*u*u*u*u*u) assuming u is positive.\nAnswer: u**(-318\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4422 - 0?\nAnswer: -4422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26584 and 7928.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 7*q + q. Which is greater: q or -2\/4579?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 272b (base 14) to base 10\nAnswer: 6899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27423 and 27423.\nAnswer: 27423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*f = 404 + 25 + 591. Solve 2*j = -2*c + 4*j + f, 4*c = -4*j + 16 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 11*s + 109. What is the units digit of j(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -65, -134, -203?\n\"Answer: -69*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s**2 + 21. Let u(t) = t**2 + 5. Let k be (-1)\/2 - 204\/24. Let n(c) = k*u(c) + 2*f(c). Let m(g) = -g**2 - g + 1. Determine -3*m(o) - n(o).\nAnswer: 2*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) 1\/8 (c) -16.5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6553289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 8)*(3*u - 5*u + 6*u).\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 176\/396*(-6)\/(-212). Is 0.5 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h, 4*h + 6 = 4*c - 2*c. Let s(f) = -525 - 525 + 3*f + 1574 - 2*f**2 - 520. What is s(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 10*m - 13. Let r be q(10). Let k = 9 + r. List the prime factors of ((-78)\/9)\/(k\/6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-18))\/(31*(-275)\/(-265980)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 - 12*m - 10. Let g be q(7). Let k = g + -29. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(112) - (sqrt(7) + 0 + 2)) + 1*(sqrt(7) - (sqrt(7) + -1)) + sqrt(21)\/sqrt(3) + 0 + 3)**2.\nAnswer: 8*sqrt(7) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-6*(sqrt(96) - -1*sqrt(96)*6))\/((-2*sqrt(588) - sqrt(588))*-4).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66 - -63. Let a(c) = -c**3 + 6*c + 6. Is 5 a factor of a(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -13*((-16)\/4 - -1). Let o = -46 + 72. Calculate the greatest common factor of o and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 122*d**2 - 1118*d + 272. Calculate r(-112).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 148, 2 in increasing order.\nAnswer: -1, 1, 2, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.4 + -8.6. Let h = -12 - v. What is the closest to 0 in 0.3, h, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 6*l + 273. Let h(p) = -p**2 - 2*p - 1. Give -2*h(u) - t(u).\nAnswer: u**2 - 2*u - 271","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/(-6))\/(4\/(-24)). Is m equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -45, 4, 0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16227 divided by -3.\nAnswer: 5409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.192033 - -166.041033. Let j = o + -166. Round j to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4282076?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/11 + 1956*w**2\/11 + 24150*w + 888272.\nAnswer: 2*(w + 77)**2*(w + 824)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -8 - (-11 + (18 - 5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(19)*1*5 + sqrt(19))*-3)**2 + 2.\nAnswer: -108*sqrt(19) + 6167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 185319 and 15930.\nAnswer: 5559570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 6*j - 92. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 16aecb34?\nAnswer: -16aecb35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = -2*u + 5*u. Let c(z) = -2*z**2 + 6*z + 4. Let k be c(6). Let h = u + k. Calculate the remainder when 42 is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j + 1. Let t be n(-4). Let c = -930 + 934. Suppose -c*b + 344 = 5*q, -2*b - 5*q + 170 = -2*q. What is the greatest common factor of t and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 348*c**2 + 355*c + 4833. What is the units digit of w(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 g when four letters picked without replacement from {t: 4, g: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2529.\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -485751, -1942945, -4371605, -7771731, -12143323?\nAnswer: -17486381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -636 divided by 4?\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/4*-28 + -5. Solve -j*d - 1 = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20256894 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*a - 0*a - 2520, 0 = -a - 2*w + 840. Suppose 11*r + a = 16*r. Does 21 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30009?\nAnswer: 3, 7, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 590*a + 21301 = -625*a + 25031 + 37580 for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -12. Let t = j + -12. Let y = 6 + t. Solve -15 = -5*n - y*r, 6*r = -3*n + r + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10628 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - s = 21, 2*f - 4*s - 34 = -0*s. Calculate the greatest common factor of 1225 and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -12*j**2 + 2*j + 908. Let l(u) = -u. Calculate l(d(k)).\nAnswer: 12*k**2 - 2*k - 908","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.029 + 25.971. Let s = 25.4 - w. Let o = -0.49 - s. Round o to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 5, -81.\nAnswer: -81, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 46\/5 of a second?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1579789 divided by 42697?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17247\/22 + 787. Find the common denominator of h and -103\/48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 17*k + 5. Suppose -38*l + 32 = -42*l. Is v(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.06123\nAnswer: 0.024492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40cb3 - 1?\nAnswer: -40cb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18828 rounded to three decimal places?\nAnswer: 0.188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -17168.2 at least 0.0744?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 391511 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 40*a - 3392. Calculate s(85).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*4*(-5 + (-2 + sqrt(275) - sqrt(275)) + -4*(-2*sqrt(275) + sqrt(275)))**2*-2.\nAnswer: -106776 + 6720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -948 by -237.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218963 is divided by 3910.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 6*i**2 - i - 4. Let x be c(-6). Suppose -x*m + 35 = 3*m. Calculate the greatest common factor of m and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((2 - 6) + 2 + 2 + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002765613043 rounded to 7 dps?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*z**5 + 0*z**5 + z**2 + 8*z**5 - 123*z + 18*z**5 wrt z?\nAnswer: 1120*z**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -3\/4 (c) -0.06 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.052 in -3, 3, 71?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**5 + 0*i**5 - 3*i**5 + (5*i**2 - 11*i**3 - 5*i**2)*(3*i**2 + i**2 - 7*i**2 - 4*i + 4*i + 2*i**2 + (3*i + 0*i + 6*i)*(-2 + 2 - i) + 1 + 2*i**2 - 1).\nAnswer: 87*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/17 in -1\/28, -3, 2\/9?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 6, -0.91, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.81 - 2.9\nAnswer: -2.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 7*h**2 - 40*h - 5. Let i(l) = -l**2 + 5. Calculate -i(x) - r(x).\nAnswer: -6*x**2 + 40*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -44*r**4 + 6*r**3 - 11. Let o(v) = 132*v**4 - 17*v**3 - v**2 + 31. Let f(u) = 4*o(u) + 11*y(u). What is the third derivative of f(q) wrt q?\nAnswer: 1056*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 62 + 730 = 0. Suppose -15*q = -9*q - p. Let v = q - 82. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38466132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280 < 1279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.83 to 0 decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-51)\/(-12))\/(3\/24). Suppose 12 + u = 2*r. Suppose -4*n + 7 = r. Which is the second biggest value? (a) 4 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9354\/17 - -3702841\/6732. Calculate the common denominator of f and 13\/242.\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 519 + 596 - m - 10*m + 24*m - 10*m - 1019.\nAnswer: 3*m + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.5543905 to two decimal places.\nAnswer: -9.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/2 + (0 - -17). List the prime factors of (-20)\/b*(-30)\/4.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19 - 599608?\nAnswer: -599589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j - 9. Let u be ((-288)\/(-168))\/(3\/(-14)). Determine v(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/(-49) - 26\/(-28). Let d = -16642\/99 + 1854\/11. Put 6, d, w, -0.4 in descending order.\nAnswer: 6, w, d, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 1089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - j. Let a(r) = -2*r - r**2 - 3 + 4*r**2 - r**2 + 4. Calculate -2*a(t) + 3*f(t).\nAnswer: -t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*v + c - 2, -6 = 3*v + 8*c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 1. Let m(d) = -13*d - 137. Let o be m(-11). Let g(a) = 47*a**3 - 2*a - 73. Let i(n) = o*c(n) - g(n). What is the derivative of i(k) wrt k?\nAnswer: -159*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 90.0603?\nAnswer: -87.0603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 + 158 = -633*x + 595*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 114943024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*z - 1 - 12, -28 = 3*z - 4*r. Suppose 2*g - 4*i + 1 + 5 = 0, -30 = -5*g - 5*i. Let q = z - g. Which is bigger: -9 or q?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 - (0 + (-1 - 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.2, -0.25, -10.3, -1\/3, -2\/105, -8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/5 - 42\/(-30). Let m be 0*k\/(-3) - 2. List the prime factors of 224\/(-24)*3\/m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-3))\/((-2)\/(-9)). Suppose 3*t = -2*t + 20. Suppose 8*a = t*a + 288. Calculate the greatest common factor of c and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 p when two letters picked without replacement from {d: 4, p: 1, m: 1, i: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3552 - 2476 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -8.8. Let n = -3.8 + y. Let r = -0.2 - -0.1. Which is the closest to r? (a) 3 (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*z**2 - 3*z**2 + z + 115*z**2 + 104*z**2 - 76*z**2 to s*z**2 + j*z + q and give s.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*6*(sqrt(75) + -6*(1 + sqrt(75))**2 + (sqrt(75)*-2)**2 + -4 + sqrt(75)).\nAnswer: -1920 - 600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1060*o**4*v + 8*o**4 - 6*o**3 + 133*o**2*v + 3*o*v + 66*v wrt o?\nAnswer: 25440*o*v + 192*o - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - z + 8, -2320*i = -2325*i + 4*z - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8615072 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 14*w**2 - 2*w - 1. Let p = 10 - 6. Let r = -5 + p. What is the units digit of h(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20687000 rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5*l + 46 + 13, -3*f + 5*l + 109 = 0. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16625 by -5.\nAnswer: 3325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 4*y**2 - 3*y + 10. Let i be s(4). Let l be (-1 - i)\/((-5)\/(-235)). Factor -27*p**4 - 84*p**2 + l*p**3 - 7*p + 21*p**3 + 7*p**4 - 8 + 51*p.\nAnswer: -4*(p - 1)**3*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**2 + 5*i**2 - i**4 + (-1 + 2*i + 1)*(-6*i**2 + 3*i**2 + i**2)*(4 - 4 - i).\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(968) + 0 + sqrt(968) + 0 + sqrt(968))*6 + 1*sqrt(968)*-5*-1).\nAnswer: -506*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 131 - 94. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 7*s**2 + 2 + 2 - 12 - 15*s**2.\nAnswer: -8*s**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-32)\/6*81\/108.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8995 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 + -0.06. Let g = l + -0.16. Let m = -0.5 - -0.3. Put 5, g, m in descending order.\nAnswer: 5, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631 is divided by 308.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2513 at most as big as -88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -260*d + 16 + 32 - 3*d**2 + 305*d = 0.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00861 - 57.742868153.\nAnswer: -57.751478153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 5*h**3 - 40445*h**2 + 13356670*h + 13397120 = 0?\nAnswer: -1, 346, 7744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -34340211?\nAnswer: -34340213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, d: 4, r: 2}. What is prob of sequence ddrr?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -544*t + 2178. Let g be f(4). Solve 0 = 2*i - g*p, 0 = 6*i - 3*p + 4*p + 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-910)\/39 + 6 - (-6)\/(-9).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*2*5*-1.\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z + 16 - 16*z - 3*z + z**2. Let h be d(12). Solve -4*a + 5*m + 17 = -a, 17 = -a - h*m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d + 26*d = -8. Let v(i) = -3*i + 7. Suppose 3*p + 0*p - 3*c = 18, 5*p = -2*c + 2. Let x(g) = -20*g + 24*g - 6 - p. Determine d*x(s) - 5*v(s).\nAnswer: -s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4201 (base 5) to base 2\nAnswer: 1000100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -7. Let s(n) = -177*n + 29. Let r be s(-3). Let p be (r\/(-15))\/(-8) - 5. Which is the closest to 0.2? (a) -0.09 (b) p (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2275 - -1?\nAnswer: -2274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31283, 31978, 32673, 33368, 34063?\n\"Answer: 695*l + 30588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2690 and 2693228.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-4)*(-32)\/(-24)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llm when three letters picked without replacement from xrgxxggxrlxmfflllx.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7601?\nAnswer: 11, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 392 - 15*p - 195*p + 7*p - 1014*p**4 - 394 + 116*p**4 wrt p?\nAnswer: -10776*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 81 + -4 + -2?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 1:45 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10655, 10218, 9781, 9344, 8907?\nAnswer: 8470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.16748 - 0?\nAnswer: 1.16748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 0, 0.5, 14, 124 in descending order.\nAnswer: 124, 14, 0.5, 0, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -5*d + 2*d. Let q = d + 12. Suppose 4*v = -4*i + q, i + 5*v - 24 = v. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11100 (base 3) to base 14\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 987497191.\nAnswer: 761, 1297631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 10. Let g be 2\/14*(-2)\/(-1). Which is smaller: w or g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -461.19 - -461. Which is the nearest to -1? (a) v (b) 3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2 + 3 + 2*r**2 + 5*r - 3*r**2. Let q be w(6). Let p = q + 5. Solve 0 = p*g + 3*m - 23, -5*g + g - 4*m = -24 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, 2, -0.4, -19, -20840?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/2 + -3)\/(3\/(-894)). Suppose -9*y - 170 = z. Let v = y + 79. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23856 (base 9) to base 8.\nAnswer: 37210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -61.06152595 to one decimal place.\nAnswer: -61.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 4*m - 24 = 0, h + 286 = -2*m + 279 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*n - 2*u = 61*n - 13, 13*n - 2 = 11*n + 2*u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*2*-6 - sqrt(117))\/sqrt(9) + ((sqrt(91)*1)\/sqrt(7) + -1*sqrt(637))**2.\nAnswer: -13*sqrt(13) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 110 - 110. Solve -o - 4*f - 18 = v, 18 - 1 = o - 3*f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*-5*4*sqrt(77))\/((sqrt(105)\/sqrt(75))\/(3*(sqrt(5) + sqrt(125)))).\nAnswer: 14400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229957?\nAnswer: 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(2\/7))*(q*(q**(-19)\/q*q)\/q*q)\/q)**(-20) assuming q is positive.\nAnswer: q**(2700\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1\/13, 2, 5, 1?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4))**4\/(t**(6\/7)\/(t**(-7\/2)\/t)))**(-48) assuming t is positive.\nAnswer: t**(7176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 345, 319, 283, 243, 205?\n\"Answer: z**3 - 11*z**2 + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8524 is divided by 431?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 33, 154, 369, 690, 1129, 1698?\n\"Answer: 2*y**3 + 35*y**2 + 2*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, a: 5}. Give prob of picking 2 w and 1 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-46 - 37) + (-14825)\/(-175)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/9 + 50*v**2\/3 + 304*v - 2888\/9.\nAnswer: 2*(v - 1)*(v + 38)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 4*z - 3. Let k be u(5). Solve -b = -k*m + 2, -3*b = -2*m + b + 14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1348*a - 1301*a - 940 = 0 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w - 4. Let t(c) = 4*c**3. Let r be t(-1). Let h be l(r). Let y(u) = 3*u + 5*u**2 + 0*u - h*u. Calculate y(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 117823, 118382, 118941, 119500, 120059?\n\"Answer: 559*t + 117264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.08 (b) -0.6 (c) -26 (d) 5 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -0.2. Suppose 28*f + 18266 + 4106 = 0. Let q = f - -1599\/2. Which is the closest to q? (a) z (b) -1\/2 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3358 = -19*y + 14*y - m, -2*y + 3*m = -1350. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4685, -9322, -13907, -18410, -22801, -27050, -31127, -35002?\nAnswer: -38645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551059?\nAnswer: 551059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14215248420 rounded to the nearest one million?\nAnswer: 14215000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2936 is divided by 428.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + t + 12. Let s be g(0). Suppose -2*w - 2 + 5 = z, 0 = 5*w - 2*z - s. Let i = -1 - -1.5. Which is the third smallest value? (a) 0 (b) w (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(1700) - (2 + sqrt(1700))) + -5 - sqrt(1700) - sqrt(1700))**2 + -1 - (-3 + -2 + sqrt(1700) + -1)).\nAnswer: 1620*sqrt(17) + 41124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 2\/3 (c) 7 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 185*a - 389*a + 203*a. Let y(q) = -643*q. Give r(y(w)).\nAnswer: 643*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (198\/(-297))\/((-8)\/122). Which is greater: 9 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*((sqrt(931) + sqrt(931) + 1 + sqrt(931))*4 + sqrt(931))**2*1*-5.\nAnswer: 14560*sqrt(19) + 3147100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928 is divided by 290.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8*17\/(-136))\/(2\/23910).\nAnswer: 3, 5, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (15 + (-12 - 15))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14017 (base 8) to base 2.\nAnswer: -1100000001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 88.1? (a) -1.9 (b) 8\/11 (c) -2.7 (d) 0.5 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-2)*(-24)\/(-5)*(-5)\/(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hekhhuuhhuhheek. Give prob of picking 3 u.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15\/64 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m**4\/4 + 8*m**3\/3 + 11*m**2\/2 - 12*m - 4. Calculate the smallest common multiple of r(9) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 317*o**2*y + 2*o*y - 236*o - 2*y wrt o?\nAnswer: 634*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (396 + 306 + 201)*(-1 + 1 - 3)*(1 - 1 + a) to y*a + d and give y.\nAnswer: -2709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymllywttwttwjyw. What is prob of picking 1 t, 1 w, 1 y, and 1 l?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 300 + -206. Let j = q + -95.395. What is j rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10384 and 2?\nAnswer: 10384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 384878, 4, 11.\nAnswer: 4, 11, 384878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1136 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fku when three letters picked without replacement from ufuukukuk?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.024 at most as big as 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1655.87257 rounded to 1 decimal place?\nAnswer: 1655.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {r: 12, g: 7}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 33*f - 8 = 32*f, 2*p = 2*f + 24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 68250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -962*4\/(-8) - (-15)\/60*-4 is divided by 188?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 15*u + 12. Let x be p(14). Let s be x + (5 - 1) + -1. Is 2\/41 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 133, 267, 401, 535?\n\"Answer: 134*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/22 (b) -64 (c) 6 (d) -4 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-76)\/114)\/(5\/(-6)). What is the nearest to 0.1 in t, -0.28, -0.4, 5?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 8 = 3*j. Suppose -3*n = -5*w + 6*w - 356, n = j*w + 123. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2108 - -2107.7297. Round o to 2 dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 c when two letters picked without replacement from cpcr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l*l**6)**(-1\/41))**19)**(-2\/129))**(-18) assuming l is positive.\nAnswer: l**(-1824\/1763)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -12*u + 8. Suppose 0*k = -k - 3, 4*n + k - 1 = 0. Let t(c) = 649*c - 1. Let b(d) = -1190*d + 2. Let x(w) = 6*b(w) + 11*t(w). Give n*f(a) - 8*x(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 21*g - 35. Let f be m(-18). Let p = 1.3 + -1.1. Which is the second smallest value? (a) 3\/2 (b) p (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*h - 14 = 0, 2*z - 7*z + 19 = h. Which is the nearest to 0.14? (a) 0 (b) z (c) -4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t - 25*t = -35. Solve -r = -5*m + 2*r, -5 = t*m - 4*r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfxswxffxffwfsff. Give prob of sequence ww.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260408732?\nAnswer: 2, 65102183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -4*t - 4*u, 149*t = 141*t + u - 139 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1346 (base 10) to base 4.\nAnswer: 111002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {p: 2, l: 3, d: 1, e: 4, o: 2, m: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 3:07 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -23. Suppose 4*p + 2*b - 18 - 30 = 0, j = 4*p + b - 52. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 265220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 12:03 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v - 527 + 482 - 7*v + 2*v**2 - 2*v**3 to d*v**3 + m + t*v + s*v**2 and give m.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6792\/(-72) + (-1)\/(-3). Let l = -147 - s. What is l rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2\/7, -1\/2, 8, -2, -4\/5, 37, -4\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 181\/4 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 + (-7 - -11) + 2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 9 + 6. Suppose 36 = i + 32. Let s be -1*(-4 + i + -1). Sort -1, s, o in decreasing order.\nAnswer: o, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 - 37. Calculate the remainder when r is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*z + 18374 = -174 + 868 for z.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -4*h - 2, 7*t + 3 = 8*t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 4) + 46\/2. Suppose 5*z = 3*z + r. Find the third derivative of z*x**2 - 2*x**5 + 2*x**2 - 5*x**2 wrt x.\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 54\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 61? (a) -1\/229 (b) -2 (c) -10.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 218 - 215. Suppose -8*q + 5*q = -4*q. Which is the biggest value? (a) 4 (b) q (c) f (d) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*-16679288\nAnswer: 15011359.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*k + 26*k - 42*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -19 - 27 - 4 + a**2 - 1 - 5*a. Let x be s(-8). Is 52 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 472 and 2065?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y = -53*y + 68400. Does 30 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3893 - -3893. Which is the fourth smallest value? (a) u (b) 3 (c) 2\/21 (d) -0.45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -460 by 115.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 152952532 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 205 + -123. Let n = -179 + a. Let l = n + 106. Is -3\/5 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 455651 and 168?\nAnswer: 10935624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1828, 3656, 5482, 7306, 9128?\nAnswer: 10948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -17.999939. Round p to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 357 (base 8) to base 5\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.4 - -7.4. Let i be 12\/(-8) - 5\/(-2). Which is the nearest to 0.1? (a) i (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/25*20\/16?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2623 and 16.2?\nAnswer: 2606.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 97, 141, 185?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/3 and -24\/34441.\nAnswer: 103323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2016341.\nAnswer: 23, 29, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4 + 10 = 2*s, -3*f - 5*s = 28. Let c(x) = -31*x + 19. Let y(q) = -50*q + 29. Let g(d) = 8*c(d) - 5*y(d). What is g(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2670*j + 2672*j - 12 = -2*o + o, 0 = 5*j + 4*o - 33 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 170 = -4*b, -3*b - 3*f + 4*f = 124. Find the common denominator of b and 10\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3*y)**8 assuming y is positive.\nAnswer: y**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6776f80 + -1?\nAnswer: -6776f81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10789, 86544, 292159, 692566, 1352697, 2337484, 3711859?\nAnswer: 5540754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6*d - 2. Let t be g(-7). Suppose -h + 3 = 2*f, 5*f - h - 3*h = t. Differentiate -f*s + 0*s - 4 + 5*s - 3*s wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33255 + 266041\/8. Let l be 3*((-350)\/12 - -1). Let a = l + 83. What is the nearest to -0.1 in -4\/5, a, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -2*g**3\/3 - 174. Let h(i) = 2*i - 101. What is q(h(w))?\nAnswer: -8*w**2 + 808*w - 20402","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -155856 divided by 201\nAnswer: -51952\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -257\/549, 0.1, -3, 2\/21 in descending order.\nAnswer: 0.1, 2\/21, -257\/549, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 115 - 96 = -38*k. Let i(x) = -7*x**3 + 5*x**2 - 7*x. Let z(a) = 8*a**3 - 6*a**2 + 6*a. Determine k*z(o) + 7*i(o).\nAnswer: -o**3 - o**2 - 13*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 226 - 91. Suppose s - 4*u + 40 = 2*s, u - 175 = -3*s. Calculate the least common multiple of s and c.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 11*x = 0. What is the nearest to x in 2, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3161 - 1106 + 8469)*(-1 + 1 + 2*p).\nAnswer: 21048*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3, -4*a + 2*m - 45 = m. Let f = a - -21. Solve -3*s - 3*v = f, 4*s + 4 - 2 = -2*v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - (-143)\/(-26)*-8746 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**13)\/((q**(-1\/22)*q)\/q*q) assuming q is positive.\nAnswer: q**(287\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**3 + 13*d**2 - 6*d - 5. Let c be u(6). Let i(v) = -v**2 + 5*v - 2. Let b be i(0). Which is bigger: c or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -37. Let t = -34.00000042 + u. What is t rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-76776)\/914)\/(6\/4)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**6\/540 - r**5\/270 - r**4\/108 + r**3\/27 + 9*r**2\/2 + 4*r. Let y(d) be the first derivative of a(d). Factor y(z).\nAnswer: 2*(z - 1)**2*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 168, 329, 488, 645, 800, 953?\nAnswer: 1104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 - -10) + -121 + 102.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 10 = 7*h. Let x be 1 + -11 + h\/(-1). Let c = x - -11. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13 and -2296614923?\nAnswer: 2296614910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k + 4*k + 5 - 2*k - 2.\nAnswer: 12*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -9*h - 5. Let n(i) = -4*i - 2. Let f(u) = -5*n(u) + 2*w(u). Let s(b) = 4540*b - 1462*b - 1471*b - 1514*b. Calculate f(s(x)).\nAnswer: 186*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -1412.\nAnswer: 5\/706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6869 + -6866. Let c(t) be the second derivative of -31*t + 2\/5*t**2 + 0 - 1\/10*t**4 + 1\/15*t**y. Let c(x) = 0. What is x?\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/9*-9)\/((11613\/(-3038))\/79).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273 = -4*q + v, 3*q - 5*v + 3*v = -201. Which is smaller: -68 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224882.6 millimeters in centimeters?\nAnswer: 22488.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11144, -31, 1 in descending order.\nAnswer: 11144, 1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 4:13 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33516 - 33516. Let w(y) be the first derivative of y - 47 - y**2 + z*y**3 - 1\/5*y**5 + 1\/2*y**4. Factor w(d).\nAnswer: -(d - 1)**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633887 is divided by 496.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.2073 times -55438\nAnswer: 11492.2974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -363 divided by -5?\nAnswer: 363\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9777, 19568, 29359, 39150, 48941, 58732?\nAnswer: 68523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - r - 852 = 0, 15 = 2*r + 19. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**7\/840 - j**6\/240 + j**4\/2 - j**2. Let n(d) be the second derivative of z(d). Factor n(l).\nAnswer: -3*l*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 4*v + 4 = 8, -5*v - 1 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -21?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -146, 3, 1, -3, 2.\nAnswer: -146, -3, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9640065038 take away 2375?\nAnswer: -9640067413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 0.7301 (c) -3 (d) 6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 14. Let m be (1\/(-2))\/((-6)\/96). Suppose -2*k - 2*b = k + m, 2*k = -3*b - 12. Solve k = 7*t - q*t + 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -40033517 + 2?\nAnswer: -40033515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -14. Let f be -1 - (d - (-12)\/(-4)). Solve u - 4 = -f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 17*n - 19. Let r be o(14). Suppose r*j = 25*j - 334. Calculate the remainder when j is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mummuu. Give prob of sequence mu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16, 21, 22, 19, 12, 1?\n\"Answer: -2*g**2 + 11*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 435 = -4*p, 0*p + 547 = 5*p + 2*y. Let u = -98 + p. What is the remainder when (1\/3)\/(3\/279) is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3978010 + 3978014 - 7956024 - 35*d.\nAnswer: -35*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4258, -15245, -33542, -59149?\n\"Answer: -3655*v**2 - 22*v - 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 2*x**2 - 4*x + 8. List the prime factors of b(-8).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3*q - 57*j**2*q + 32*j**2 + 35059*j*q wrt j.\nAnswer: 12*j*q - 114*q + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6612*k**3 + 6611*k**3 - 2 - 5*k**4 - 7 to p + f*k + r*k**3 + a*k**2 + l*k**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7379.305 millilitres in litres?\nAnswer: 7.379305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.09 and 0.3035?\nAnswer: 0.2135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -8*r + 19. Let q(y) = -4*y + 35. Let o(p) = p - 12. Let g(t) = 8*o(t) + 3*q(t). Let w(v) = -5*g(v) + 2*h(v). Give w(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/(-34)*(-11 - -10 - 4\/(-12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*z + 3. Calculate the common denominator of 64\/(-72) + 18616\/1287 + -15 and z + -1 + 113\/(-30).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7842808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*-1 - sqrt(7)) + 6*(sqrt(175))**2 + -1 + -3.\nAnswer: -9*sqrt(7) + 1046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-27) + -3 + (-15358)\/(-18). Suppose 2*r = 2*b + p, b = 11*r - 6*r - 2133. Find the first derivative of -427*i**2 + r*i**2 - 35 + 20*i**4 wrt i.\nAnswer: 80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + c - 9. Let g(j) be the first derivative of -j**3\/3 - 11*j**2\/2 + 7*j - 22. Is g(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143442499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12702774?\nAnswer: 2, 3, 7, 17, 17791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659103.\nAnswer: 3, 83, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 23 = -5*v, -4*d - v - 2 = -7. Let z be (-16)\/(-6)*1\/d. Factor 0 + 2*j**4 + 16\/3*j**3 + 14\/3*j**2 + z*j.\nAnswer: 2*j*(j + 1)**2*(3*j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -172792 - 1?\nAnswer: -172793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 94.646 + -3.196. Let s = -0.55 - c. Let m = 99 + s. What is the nearest to m in 1\/12, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 6*q**2 + 5*q - 85. Calculate n(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1115058 divided by -14.\nAnswer: -79647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -10 + (-3 - -11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p**3 - p**3 - 2*p**3 + 4)*(12 - 12 - 7*p) as j + k*p + w*p**2 + s*p**3 + v*p**4 and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mitipiiapitiimtmt. Give prob of sequence at.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 9*a**2 + 5*a + 7. Let m(q) = -q**3 + 13*q**2 - 7*q - 10. Let f be (4 + 2)*2 - 0. Let c = f + -5. Determine c*v(x) + 5*m(x).\nAnswer: 2*x**3 + 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - s + 27, -5*s + 4 + 6 = 0. Let g be (-2)\/l + 796\/(-10). What is g rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*z + 2 = 0. Let o be 0*(3\/z + -2). Let c = 10 - 8. Solve 5*n - 2*a - 1 - 23 = o, 2*n - 4 = -c*a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-1\/3))\/x**(-4)*x**(-4\/5)\/((x*x**(-2\/5)\/x*x)\/x) assuming x is positive.\nAnswer: x**(89\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0068 times 3?\nAnswer: -0.0204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -159 (base 11) to base 16\nAnswer: -b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-18)*3888\/288. Solve -q - 2*x = 15, -35 = -2*q + g*q + 3*x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6540 (base 7) to base 6.\nAnswer: 14443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 1:44 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410686182?\nAnswer: 2, 3, 859, 26561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-10))\/(1\/(-5)). Suppose -k*u = -7*u + 10. Let s = -9 - -11. Solve -u*x = 4*f + 12, -x + 2*x - s*f + 2 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 415, 434, 453?\n\"Answer: 19*c + 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -1)\/(1 - 0). Let p(s) = s + 1. Let g(x) = -8*x - 3. Let b(u) = -g(u) - 3*p(u). Let j be b(z). Solve 0 = 2*n - 2*y + 1 + 9, j*n + 3*y = -1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-16))**(-2)\/(h\/(h**(1\/12)*h)*h)**40 assuming h is positive.\nAnswer: h**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, s: 2, r: 1}. Give prob of sequence dds.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 11 = -a + 2*c, -5*c - 40 = 4*a. Let r(m) = 3*m**3 + 16*m**2 + 6*m + 7. Let y be r(a). Factor -2*p + 5*p - 74*p**2 + 9*p - 9 + 71*p**y.\nAnswer: -3*(p - 3)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4231*a**5*i - 10*a**4*i - 2*a**3 + 2*a**2*i + 82754*i wrt a.\nAnswer: 253860*a**2*i - 240*a*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -69 or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21261, -21262, -21263, -21264, -21265, -21266?\n\"Answer: -l - 21260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvv when three letters picked without replacement from {v: 3, c: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-28)*-2*2\/(-49).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 212 + -140. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1140ba48 + -4?\nAnswer: -1140ba50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 25 times 0.0008\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/49 and -64\/147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 23*k**8\/336 - 3*k**6\/20 + 71*k**5\/30 - k**4\/12 - k**3\/6 + 6*k**2 - 500*k. Find the third derivative of t(j) wrt j.\nAnswer: 1380*j**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -f + 82, 2*d + 1 + 3 = 0. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 5:59 PM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (318*i**3 + 122*i**3 - 89*i**3)*(i - 4*i + 6*i).\nAnswer: 1053*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) -3 (c) 5\/4 (d) 0.3 (e) 90 (f) 487\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -9. Let u = p + 4. Which is the nearest to u? (a) 0.5 (b) -1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 + 318080*g - 10 + 4 - 318098*g. What is a(14)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l**2 - 300*l + 36. Give o(-50).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000066276 to 7 dps.\nAnswer: -0.0000663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 570?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82)\/39 - (54180\/2709 - (21 + 1))?\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 4*a. Let t = -242 - -323. Let v(f) = 4 + 10*f - 80*f**2 + t*f**2 + a. Calculate v(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*o**2*s**3 + 47*o**2*s**2 - 184*o**2*s - 3*s wrt s.\nAnswer: -288*o**2*s + 94*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87 + 87 + 3*(-4)\/6?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*s**2\/19 - 10440*s\/19 - 666\/19 = 0. Calculate s.\nAnswer: -111, -3\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/t**(5\/4)*t*t**(-4)\/t*t)**(-1\/9) assuming t is positive.\nAnswer: t**(5\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*v + 64 + 110 = 0, -5*i + 501 = 4*v. Suppose 96 = -i*a + 105*a. Calculate the smallest common multiple of 111 and a.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(3\/2) - -1. Let k = -0.57 - -0.6. Let y = -0.23 + k. Which is the second smallest value? (a) p (b) y (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 62*o**2 + 261*o + 103. Calculate p(-66).\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1693 + 1693.2. What is the smallest value in z, -0.3, 61\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 471973632 a multiple of 3459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01 + -0.99. Let k = 0.9 + f. What is the nearest to k in 0.5, -5\/3, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8086.541 + 6324.86?\nAnswer: 14411.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 45*r**2 - 50*r - 170. Suppose 115*s - 114*s = -46. Calculate the lowest common multiple of 16 and o(s).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + x**3 - 30*x - 22*x - 3*x**2 + 12*x**2 + 53*x to p*x**2 + v*x + o + m*x**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from {r: 3, m: 15}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -52538.59 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 5*l = 25, -16*l = -5*c - 18*l - 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -115 and -0.6114?\nAnswer: 70.311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + l + 2 = 0, -5*b - 2*l = -3 + 7. Let a(m) = 5*m - 2*m - 5*m + b + m**2 + 2*m**3 + 1. Let q be a(1). Solve k + d = 1, -d + 7 = 5*k + q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*g + 49, 5*g + 4*q = 78 + 8. Suppose -g = j - 4*j. Let y = j + -1. Solve -4*f - y*o = -15, -6 = -4*f - 3*o + 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 + 4 + (1 - 7 + 1)*(6 - 2 - 2) - 7 - 5 - 8)*(-2 + 2 + 2*v) to u + d*v and give d.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*y + 173*y + 1263 = 4132 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzgb when four letters picked without replacement from iigzbgbiibbz?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 4*k - k)*(-2 + 2 + 2) + (-4*k + 4*k + k)*(4152 + 2079 - 14082 - 10575).\nAnswer: -18422*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 11571796*n + 2. Let t(c) = -2*c. Calculate t(s(z)).\nAnswer: -23143592*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.37*-115.6\nAnswer: -42.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 10*w**3 + 2*w**2 - 12*w + 7. Let l(o) = -22*o**3 - 4*o**2 + 25*o - 15. Let d(u) = 6*l(u) + 13*x(u). Let m(a) = a - 1. Give -d(f) - 5*m(f).\nAnswer: 2*f**3 - 2*f**2 + f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2100\/(-8))\/25)\/((-2)\/(16\/(-6))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*q - 110 = 4*q, q - 127 = 5*i. Let u be -11 + 13 + 48\/i. Which is the nearest to 0? (a) u (b) 4\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b + 16 = 0, -4*o - 4*b + 28 = 0. Let d(r) = -2*r + 1. Let q be d(-1). Let p be (-16)\/6*27\/(-6). Solve -o*t - 7 = -v, 5*v - 4*t = q - p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1bb7 (base 13) in base 6?\nAnswer: -31250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (1 - (5 + -3))) + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*sqrt(132)*1 + sqrt(132))\/(sqrt(12) - (sqrt(588) - (sqrt(588) + (sqrt(588) - (sqrt(588) - (sqrt(588) - -2*sqrt(588))))) - sqrt(588))))**2.\nAnswer: 66\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2 + 6558834*t + 59029668 = 0.\nAnswer: -9, 3279426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 253331445 to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16569550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*sqrt(44))*-5 + -4.\nAnswer: -10*sqrt(11) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 + 2*t**3 + 3*t**2 - 25*t**2 + 19*t**2.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-3) + 0 - -16. Suppose -2*b - 3*x = -12, -x + h = -2*b + 5*b. Solve 4*d + b = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25100159 a multiple of 1135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-1) + 37 + -3 + -1. Suppose t + 4 - 5 = r, -4*t - 3*r = -i. Let s(d) = 3*d - 10. Let y be s(t). Solve -2*b = y*g - 11 - 14, 0 = b + 2*g - 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 575?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2))**(-2\/11)\/(p**(-2\/5))**50*(((p**(-4)*p)\/p*p*p)\/p*p**9\/p)\/(p\/p**(-2\/5)*((p\/p**0*p*p)\/p)\/p) assuming p is positive.\nAnswer: p**(1263\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6137261 (base 9) to base 16.\nAnswer: -31effa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -3*m + 12, 3*w - 754*m = -1507*m + 754*m + 18 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**5*m)**(-1\/40)\/(m**11)**40 assuming m is positive.\nAnswer: m**(-17597\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - -40. Let t be -4 - (3 - (w - 0)). Let g be -3 + 1 + 2 + -1. Which is the nearest to g? (a) 0.2 (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12734, 52377, 118930, 212393, 332766?\n\"Answer: 13455*d**2 - 722*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 - 341\/10. Sort -2\/3, 5, h in decreasing order.\nAnswer: 5, h, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -422 (base 10) to base 7\nAnswer: -1142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 246 - 146. Suppose -3*w + 3*s + 48 = -s, -4*w - 4*s + 92 = 0. Calculate the greatest common divisor of c and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 6*j**2 - 6*j - 9. Let x be g(-4). Let z(r) = -4*r + 5*r + 18*r + 2*r**2 - 4. Is z(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 40*w**2 - 15*w - 44. Let b be k(-4). Suppose -2*y + 25 = 17, -b = -2*a + 2*y. What are the prime factors of a?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7099909.\nAnswer: 1933, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000019862 rounded to 7 decimal places?\nAnswer: 0.0000199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.839, -139, -145 in decreasing order.\nAnswer: 0.839, -139, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (-18 - (-2 - 1)). Solve d - q = 5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*c = 16. Let a = 1 + c. Suppose -a*d + 28 = -d. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0 = -0. Suppose 0 = -7*t - w*t + 896. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*x - 13 = -0*x, -5*l + 7 = -4*x. Suppose 2*q = o + 71, 2*q + 8 = l*q + 5*o. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 k when four letters picked without replacement from {q: 4, k: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4341038*n**4 - 1609*n**2 + 1125*n wrt n.\nAnswer: -104184912*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*0.03.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -232*s + 59*s + 2 - 2 to w*s + d and give w.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uutxxthsulhuhl. What is prob of sequence lhh?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 5)*((-2 + 1 - 2)*(5*q - 4*q + q) + (-q + 2*q + 0*q)*(-2 - 2 + 3)) as z*q + x and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 8. Let u be v(-6). Let s = -132 - -131.94. What is the third biggest value in u, s, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oim when three letters picked without replacement from oamhaim?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9\/56 - (-38)\/(-133)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19375906 to the power of 1\/2, to the nearest integer?\nAnswer: 4402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 101745293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3145*f**3*l**4 - 2*f**3*l**2 - 5*f**3 - 5*f*l**5 + 5*f + 6*l**2 wrt l?\nAnswer: 75480*f**3*l - 300*f*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 873 is divided by 243?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -211 (base 3) to base 5\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6*v + 18 = 0. Let x be (2\/8)\/(v\/48). What is the second biggest value in 3\/2, x, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 * -2.3\nAnswer: -0.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/7 - 60*p**2\/7 - 346*p\/7 - 552\/7.\nAnswer: -2*(p + 3)*(p + 4)*(p + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183439 is divided by 2210.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(-22)\/(m*m**(-3\/5)*m*m\/(m\/(m*m**4)))*m**6\/(m*m**(-3\/4))*(m\/m**(-5))\/m**(-1\/4) assuming m is positive.\nAnswer: m**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 109760 and 65464.\nAnswer: 18329920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100 + 102. Suppose -g*x - 7 = x + 4*z, 0 = 4*z - 8. Which is the third biggest value? (a) x (b) -0.1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2464*r**3 - 3012*r?\nAnswer: 14784*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -2\/25 in increasing order.\nAnswer: -2, -2\/25, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 2 - 5)*(0*a + 6*a + 9*a)*(1 - 1 - a) + 0*a + 0*a + 3*a**2 to z + k*a**2 + i*a and give k.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**3 - 10*y**3 - 89 - 172 - 4*y.\nAnswer: -2*y**3 - 4*y - 261","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03215 - 0.0326469. Round v to five decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -17, -12, -5, 4, 15, 28?\n\"Answer: a**2 + 2*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3825\/2125 + (-91)\/(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*1 + -4 + 2. Suppose -3*w + 4*w = s. Solve 11*u + 2*u**3 - 8*u**w + 0*u**3 - 3*u = 0 for u.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 7*t**2 - 3*t - 5. Let h(q) = -11*q**2 + 5*q + 7. Let r(b) = -5*h(b) - 8*k(b). Let f(n) = -2*n**2 - 3*n - 2. Let d be f(-2). Calculate r(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 535214 (base 9) to base 12.\nAnswer: 134564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61157 to the power of 1\/2, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1063)\/(-1063))\/(((-2)\/8)\/((-372)\/(-48)))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**2 + 175*f + 480 = 0 for f.\nAnswer: -32, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/15 + 55\/175)\/(19860\/11916).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/125*5\/(-26).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 7507, -2, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 a factor of 1554707455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28.7 + -0.7. Let y = -29 + r. Which is the closest to y? (a) 4 (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*k. Sort k, 2, 3 in ascending order.\nAnswer: k, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 752 and 825614032.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -19. Suppose -12 = 7*n - s*n. Sort -5, n, 2.\nAnswer: -5, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.43362 months?\nAnswer: 0.00036135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -501 or 41?\nAnswer: -501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4 + 2. Calculate the common denominator of u*3 - 122\/44 and 109\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(11) + -3 + sqrt(44))**2 + 4 + 3.\nAnswer: -36*sqrt(11) + 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -383300 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**4\/6 + 3*g**3\/2 - 5*g**2\/2 + 150*g - 3. Calculate f(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 5*j + 11\/6*j**3 + 0*j**5 + 0*j**4 + 1\/3*j**6 + 0 + 0*j**2. Find the second derivative of c(h) wrt h.\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 47954 + 8066 = 0. Suppose a = 2*b - 5396. Round b to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g. Let o(j) = j**2 - 4*j + 13. Let q(l) = o(l) + 6*u(l). Give q(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y - 2. Let t(v) = -3*v - 1. Let a = -17 - -1. Let n be a\/(-20) + 2\/10. Let u(q) = 1. Let i(k) = n*t(k) + 3*u(k). Give 3*i(s) + 2*w(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 f, and 1 b when three letters picked without replacement from {x: 4, f: 2, k: 4, p: 1, b: 1, h: 6}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccicshf. What is prob of picking 1 h, 1 f, and 1 i?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109213 by -1866.\nAnswer: 109213\/1866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4439 + 4438.5. What is the third biggest value in -7, x, -1\/152?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**5 - 9490744*j**4 + 113889320*j**3 - 436576192*j**2 + 569447420*j - 237269800 = 0. What is j?\nAnswer: -2372698, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 - 21 + 8*u**2 - 2*u**2 + 43.\nAnswer: 2*u**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-11\/2)\/z*z*z*(z**22\/z)\/z assuming z is positive.\nAnswer: z**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 794 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 take away -28063.492247?\nAnswer: 28063.512247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 68495 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 591693 and 134493.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**3 - 67*t**2 - 866*t - 4162. Give j(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 10*h - 51. Let c be r(6). Let q(f) = -3*f - 7. Let k be q(-8). Let t = c + k. Calculate the highest common divisor of 31 and t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 16\/(-36))\/(196\/126). Solve o*j**3 + 2\/7 - 2\/7*j**2 - 2\/7*j = 0 for j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53088 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 439 + -624. Are f and -556\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140 (base 5) in base 15?\nAnswer: b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 8 + 8 + 2 + -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368528 is divided by 171?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 5*l + 88 + 71, 0 = -3*i - l + 206. Let a = -35 + i. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 34*a + 206. Let q be m(-6). Let u(t) = -15*t**2 + 2. Let y(o) = 1066*o**2 - 143. Calculate q*y(i) + 143*u(i).\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 56378, 39, 5, -4, -12 in ascending order.\nAnswer: -12, -4, -2, 5, 39, 56378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwre when four letters picked without replacement from oeowrro.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a week in minutes?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/3 + -3 - -19. Let f(t) = t**3 - t + 30. Suppose -3*w + 10 = 5*h, -5*h + 3*h + 4 = 4*w. Let y be f(w). What is the highest common divisor of y and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k. Let a(h) = 2*h + 1. Let f(g) = -2*a(g) - 6*j(g). Let r(m) be the first derivative of 189 + 9*m - 7\/2*m**2. Determine -9*f(t) - 2*r(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, -1, -5, 0 in increasing order.\nAnswer: -6, -5, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*p = -187 + 76. Let o(m) be the second derivative of m - 1\/12*m**4 + 5\/2*m**2 + 0 + 5\/6*m**p. Give o(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33927100 to the power of 1\/2, to the nearest integer?\nAnswer: 5825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 606537 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -11*i**2 - 46*i + 5. Let b(r) = r**3 + 11*r**2 + 32*r + 6. Let t be b(-5). Let h be y(t). Calculate the greatest common factor of 221 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1307 - 1266. Does 41 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82232*a + 82678*a + 16948 = 0 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31.28 - 0.28. Let z = -158.3 - -188.92. Let i = c - z. What is i rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**15)\/((w**(-18)\/w)\/w*w) assuming w is positive.\nAnswer: w**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66091*x**5 + x**4 + 17*x**2 - 1939*x?\nAnswer: 3965460*x**2 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, b: 1, k: 1, h: 5}. What is prob of sequence mh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10 - 1*(-1 - 0). Let d(u) = 3*u**3 - 2*u**3 - 8 + 9*u**2 + 2*u + 0*u**3 - 3*u. What is the units digit of d(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8097, -8062, -8005, -7926, -7825, -7702, -7557?\n\"Answer: 11*g**2 + 2*g - 8110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -31?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(84)*2*2 - sqrt(84))*-3)\/((sqrt(972)*1 + sqrt(12) - (sqrt(96)*1)\/sqrt(8))*2).\nAnswer: -5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8403858ml to litres.\nAnswer: 0.0008403858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2388325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -113\/12 at least 10.43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)\/k**(1\/4))**(-22) assuming k is positive.\nAnswer: k**(275\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a century in years?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-3))**25)**(-28) assuming f is positive.\nAnswer: f**1400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2505, -10019, -22541, -40071, -62609?\nAnswer: -90155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3256\/(-1078))\/74)\/(2\/(-84))?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07 + 0.27. Let g = -2.8 - k. Let d = 9.2 - 9. What is the nearest to -2\/3 in g, -2\/3, d?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 10. Let y be o(-16). Let p = 28 + y. Suppose -3*r = p*r + 5*q - 7390, 2*r + 4*q = 2958. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 2*t + 28510 = 28369, 459 = -23*r - 5*t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 + 2*d**2 - d**2 + (-2*d - 4 + 4)*(d - 3*d + 0*d) - 8*d**2 + 3*d**2 + d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.86 - 1.14. Sort -3, -0.2, y.\nAnswer: y, -3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27919944 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 6*s + 9. Let u be -7 + (1 - (-1)\/(-2))*-2. Let o be k(u). Let y(j) = -j**2 - 7*j - 2. What is y(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14113675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*-6*(-4*(sqrt(288) - (-1*sqrt(288))**2) + sqrt(288) + (sqrt(288) + sqrt(288) + 0)**2 + -1 + sqrt(288) + -5).\nAnswer: -144*sqrt(2) + 13784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*d = 0, 3*k - 15 = 2*d + 1. Solve -4*t = -1 - 3, t = -k*q + 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 - (-12 + 17).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 494\/1217 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -3*b**4\/2 - b**3 - 3*b**2\/2 + 60. Let j(l) = -5*l**3 - 2*l**2 - 2*l. Give -4*a(x) + 6*j(x).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -12*m + 11*m + 18, 4*m - 4*w + 28 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9100\/(-3150)*3\/(-13).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7 - 2) + 36\/(-24))*8\/(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 6*w + 4*w)*(0 + 2*w + 0).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 0*w**3 + 2 + 6*w**2 - 5*w + 0*w**3 - w**3. Suppose -l + 1 = -4. Let d be y(l). Solve 0 = -d*a + 2*s + 6, 5 = -7*a + 2*a + s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 41fa + -5?\nAnswer: 41f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 0*d**3 + 0*d**2 + 0 + 0*d**5 + 0*d**6 - 19\/42*d**7 + 5\/2*d**4 - 8*d. Find the third derivative of b(q) wrt q.\nAnswer: -1140*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -83.2968718 to the nearest integer.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 9:25 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 218130 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98428880.\nAnswer: 2, 5, 11, 37, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 8*u. Let j(d) be the first derivative of d**3 - 2 + 0*d**5 + 0*d**4 + 0*d**6 + 2\/7*d**7 + 0*d**2 + u*d. Find the third derivative of j(v) wrt v.\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/(15\/78))\/(-1). Suppose d*b - 6 = 24*b. Solve -5*x + 5 = 5*c + 45, 0 = 2*x - b*c - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 6*v + 1, -2*v + 13 = 691*y - 694*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2314501243 + 4?\nAnswer: 2314501251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*b**3\/15 + 9208*b**2\/15 + 137024*b\/15 + 23552\/15 = 0. What is b?\nAnswer: -184, -16, -4\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -6.68003\nAnswer: -3.340015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -0.09, 1, 1\/3, 2\/3, -10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1346598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 + -42. Suppose m = 5*y - 85, -5*y + 6*m = r*m - 95. Calculate the remainder when 61 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13171772142 + -3.696.\nAnswer: 13171772138.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -385 divided by -4.\nAnswer: 385\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 16285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61675126?\nAnswer: 2, 1217, 25339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 51386 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 9*n - 7. Let k be s(7). Let q = 11 - k. Let y = 54 + -56. What is the third biggest value in 0.2, y, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 107*y - 721*y + 74*y in the form z*y + q and give z.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 944 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 12:09 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i - 16. Let x be w(6). Suppose -x*b + 85 = -13*b. Let d = 14 + b. Which is smaller: d or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 4*y + 30. Suppose -9*h = -y*h + 3. Calculate the remainder when h*(-50)\/18*-3 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9816, -19003, -28190, -37377, -46564?\nAnswer: -55751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 165505 to the power of 1\/2, to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 8*s - 10*s + 60*p - 2, 0 = 4*s + p - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 87 = 79, 4 = -3*x + 2*h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97 + 167. Suppose 11*c - c - g = 0. Differentiate -c*y**4 - 3*y**4 - 12 + 0*y**4 with respect to y.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 - 72. Suppose q + x*q - 90 = -3*d, d - 464 = -5*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2*-2 + 4. Let l = -24.681 - -27.681. What is the nearest to -3\/4 in l, t, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + ad?\nAnswer: ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/(14\/(672\/18)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -9*v - 21*v. Is -2\/179 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k. Let x(s) be the first derivative of -37*s**2\/2 + 20. Calculate i(x(o)).\nAnswer: 74*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*z - 5*p, -z + 4*p = -0*z + 18. Let g = z + 8. Suppose 6 = -3*w, -g = i + w + w. Solve -2*j + 2 = -i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 3*i**3\/2 - 11*i**2\/2 + 72*i. Let u(g) be the first derivative of -2*g**2 + 5*g + 1. What is 3*n(j) + 7*u(j)?\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 38*b**2 - 4*b + 5. Let a = -3 + 4. Suppose x - a = 0, 5*i + x + x = 12. Is w(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -112691*q + 9. Let n be x(-1). What is n rounded to the nearest one thousand?\nAnswer: 113000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 4581*q**4\/4 + 83*q**3\/3 + 11*q - 8356. What is the third derivative of x(h) wrt h?\nAnswer: 27486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 21, 5, 6\/13, -1\/4, -0.09, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**5\/7 + 32*h**4\/21 + 2*h**3\/7 - 24*h**2\/7 - 40*h\/21 = 0.\nAnswer: -1, -2\/3, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -8. Suppose 0 = 2*h + 3*c + c - 24, 3*h + r*c - 30 = 0. What is the remainder when (-2)\/9 - (-202)\/18 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9091?\nAnswer: 9091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from ucouuuuuusuuco.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6378 is divided by 43.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrururxxxr. What is prob of picking 2 u?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1*sqrt(68)*-2)\/(-6*sqrt(16)) + (sqrt(2057) + 1*sqrt(2057) + -3)*3)**2.\nAnswer: -2682269\/12 + 3573*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -373*a**6\/3 - 2*a**5\/3 - a**4\/12 + a**3\/6 - 2369*a**2. Find the third derivative of y(f) wrt f.\nAnswer: -89520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -9*u**3 + 16*u**2 + 2*u - 46. Let i(v) = 11*v**3 - 17*v**2 - 2*v + 53. Determine 6*i(t) + 7*p(t).\nAnswer: 3*t**3 + 10*t**2 + 2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 4*t - 5*a, -t + 3*a - 74 = -6*t. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 1\/2*y**2 + 0*y + 78. Let a(v) = -4*v + 1. Calculate a(f(b)).\nAnswer: -4*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 6, 7, 3 in increasing order.\nAnswer: -4, 2, 3, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.18 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 2*u**5\/5 + 18*u**4 + 572*u**3\/3 - 684*u**2 + 722*u + 1300. Factor q(i).\nAnswer: 2*(i - 1)**2*(i + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528*o = 199*o + 839*o - 31320 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -9*p + 6*p. Sort p, 13, 4.\nAnswer: 4, p, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 265 + -527\/2. Let k(l) be the first derivative of r*l**2 + 0*l**3 - 1\/5*l**5 + 0*l + 8 + 0*l**4. Find the second derivative of k(c) wrt c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 549002635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1124 divided by 3\nAnswer: -1124\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 9)*(f + 3*f**4 - f) in the form h*f**2 + t*f**4 + m*f + o + k*f**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 0 + 2*c**2 + 1\/12*c**4 + 1\/3*c**3 + 5*c. What is the units digit of k(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*sqrt(144)\/(sqrt(40)\/sqrt(5)))\/(((sqrt(576) - 5*sqrt(576)) + sqrt(576))*2).\nAnswer: 3*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 134655299?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**3 + 13. Let c(q) = -5*q**2. Calculate c(z(d)).\nAnswer: -45*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 80076 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2. Let s(v) = 29568*v**2. What is s(f(a))?\nAnswer: 29568*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8847, -8225, -7185, -5727, -3851, -1557, 1155?\nAnswer: 4285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {q: 2, b: 9}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -33*k**3 - 2*k**2 + 5*k + 2. Is c(-3) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 22. Suppose 86 = -l - 5*r, -4*r - 157 = 2*l + r. Let g = t - l. What is the remainder when g is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**4\/12 + f**3 - 10*f**2. Give w(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ugupuupulguulppupp. What is prob of sequence uglu?\nAnswer: 7\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 261945491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4214 (base 9) to base 8\nAnswer: 6023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwwmmmw. Give prob of picking 2 w and 1 m.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 4795, 1 in ascending order.\nAnswer: 1, 4, 5, 4795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -78658916 to the nearest one hundred thousand.\nAnswer: -78700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -271805, -273311, -277397, -285353, -298469, -318035, -345341, -381677?\n\"Answer: -215*b**3 - b - 271589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19267*l**3*y**3 + 46*l**3*y - 9*l**2*y**2 - 2*l**2*y - 2*l**2 wrt y?\nAnswer: -115602*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 4 - 5. Let x(h) = -48*h**2 + h - 14. Let a(r) = 58*r**2 - r + 15. Let p(u) = 5*a(u) + 6*x(u). What are the prime factors of p(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c9 (base 15) to base 11.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*r**3 - 41*r**2 - 298*r**3 - 92*r**3 + 41*r**2.\nAnswer: -575*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 - 13 + 39 - 9 - 7 - t**3 - 8.\nAnswer: 3*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 6*z + 2\/3*z**4 + 5\/2*z**2 + 1\/20*z**5 + 5\/6*z**3 + 0. Is k(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 12*n**3 - 23*n**2 - 2*n**4 + 6*n**2.\nAnswer: -2*n**2*(n - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - -2*4\/14. Let g = 0 + 0. What is the third smallest value in g, -3, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -736307 by -38753.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + 7953?\nAnswer: 7961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from navmtvvnnll. What is prob of sequence ttm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 30\/7 of a week?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8*g**3 + 6*g**2 + 6*g - 1. Let f(h) = 7*h**3 - 5*h**2 - 5*h + 1. What is 6*f(k) + 5*l(k)?\nAnswer: 2*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 - 10*m**2 - 2.\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1742.\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 2232090*k + 249111288405.\nAnswer: 5*(k + 223209)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5343783776?\nAnswer: 2, 10663, 15661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170, 311, 418, 473, 458, 355?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4042650 by 269510.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, -17, 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dshdlsdddgsdhggdrdlg. Give prob of sequence hr.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 17\/(0\/(-2) + 1). Suppose 2*u = 3*u - 3. Suppose g = -2*k + u*n + 69, 0 = -4*k + 2*n + 96. What is the remainder when k is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1254\/18 + -3)*3. What is the highest common divisor of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11473*t**5 + 621269*t.\nAnswer: -229460*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-39 + 550\/14)*(-29*14)\/(-2). Solve 18*o - w = 14 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/46932 and -63\/4.\nAnswer: 46932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/36 and 63\/3796.\nAnswer: 34164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/401?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*t = -23, 0 = -2*t + 1 + 17. Solve -4*p = -2*r + p + k, 7 = -3*r + p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ylyyylylyyy. What is prob of sequence ly?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 - c**2 - c**2)*(-2 + 0 - 4)*(4 - 5 - 5) + (-3 + 3 + c)*(2*c + c - c) + 4*c - 4*c - c**2 + (-3 + 2 + 3)*(-c**2 - c**2 + 3*c**2).\nAnswer: -177*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 968779*f**6 - 22*f**3 + 9578093*f**2 wrt f.\nAnswer: 116253480*f**3 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrrvrtrrvtyvxxxtxtv. Give prob of picking 2 x and 1 v.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.720364 + 0.72. Round x to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahdaddd. Give prob of picking 1 d and 1 a.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 5*k - 23, -k + 0*k = -3*p + 1. What is the smallest common multiple of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - h + 7 = 0, -3 = -3*f - 3*h - 0. Let m be -25*f\/(-15)*-4. Let u = -7 + m. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -9.8. Sort 0, -0.3, g in decreasing order.\nAnswer: 0, g, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**2\/3 - 22256*j\/3 + 61916192\/3 = 0 for j.\nAnswer: 5564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 42627 = 53946. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 13*k - 140 = x, 7*k + 9 = 13*k - 7*k for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wlm when three letters picked without replacement from jlcmmlw.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.429277 millennia in decades?\nAnswer: 542.9277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 - x + 68. Let o be n(-4). Calculate the highest common divisor of o and 1190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/19274 and -59\/18?\nAnswer: 173466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -13 + 7 + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2695 and 3971.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1374341276?\nAnswer: 2, 7, 11, 1831, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lala when four letters picked without replacement from tiiilaiitibiibibial?\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101 - (-3033 - -3036 - (1 + -4 + 0)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 divided by 2845053?\nAnswer: 68\/948351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7504 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3 = 2. Let f(g) = g**2 - 2*g + 1. Let n be f(3). Sort p, n, 2\/7.\nAnswer: 2\/7, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1346?\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 15*m**3 + 15*m**2 + 3*m - 13. Let k(h) = -30*h**3 - 25*h**2 - 5*h + 26. What is 3*k(p) + 5*q(p)?\nAnswer: -15*p**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 20\/(-12))*12. Suppose -21 = 4*d + a, t*d = 5*d + 3*a + 8. Let f = 94 + d. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -832 + 589. Suppose 0 = -5*c - 3*g - 22, 3*c - 4*g = -c + 8. Is c\/3*i + 1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.976656um?\nAnswer: 0.0000976656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 942836 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 219 divided by -73.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*b - 73*b = -144 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*x**3 - 173*x**2 + 82*x**2 + 3 + 12*x**3 + 85*x**2 as d*x**2 + i*x**3 + c + z*x and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 17*w**2 - 3*w - 7. Let q be t(-3). Suppose q = 14*d + 29. Which is the closest to -1\/4? (a) d (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 9:36 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/9)\/(w*w**3*w))**(-6\/11))**(-19) assuming w is positive.\nAnswer: w**(-1786\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-5) - 297\/5. Let h = -32 - y. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -61, 0, 3 in descending order.\nAnswer: 3, 0, -3, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5177 + 1825. Let q be j\/2*8\/240. Let v = 56 + q. Which is the third smallest value? (a) v (b) -2 (c) 1\/4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1034, 3875, 8616, 15263, 23822, 34299, 46700, 61031?\n\"Answer: x**3 + 944*x**2 + 2*x + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89*g**6 + 29*g**4 - 1142*g**2 wrt g.\nAnswer: 10680*g**3 + 696*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*b + 41*b + 101*b - 10*b.\nAnswer: 202*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 53\/(-106)*648\/12\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6675132 divided by -50?\nAnswer: -3337566\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 6*p - p. Suppose -p*t = -0*t + 12. Let i = 21 + t. Calculate the highest common divisor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7806*o + 78133 = 234253 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5843 divided by 4?\nAnswer: -5843\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(14\/(-35) - (-11)\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.68041051 and 2.\nAnswer: -7.36082102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = y + 12, -15*y + 10*y + 55 = 3*i. Suppose y = 10*c - 8*c. Suppose -3*h + 40 = 2*h. Calculate the lowest common multiple of c and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109279 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22545 - -22545.010717. What is s rounded to four decimal places?\nAnswer: 0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 3*x**4\/8 + 3*x**3 - 8*x**2. Let l be g(-2). What is the units digit of 53 + l + (10 - 12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1750 and 13593650.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 7*o + o + 0*o + 7. Calculate l(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l. Let b(m) = -2*m + 4303823. What is x(b(z))?\nAnswer: 4*z - 8607646","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m + m - 3*m. Let w(q) = 11*q**2 + 55*q**2 + 14*q**2 - 94*q**2. Give w(p(j)).\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 429879*l**2 + 2579118*l + 6877776.\nAnswer: 3*(l - 143287)*(l - 8)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-2 - -1) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 - 100. Let a(i) be the third derivative of i**4\/2 - 13*i**2 - i - 12. Determine u(a(g)).\nAnswer: -288*g**2 - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - (4\/5)\/((-34)\/(-85)). What is the tens digit of 523*(-4 + (d - 3) + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8*l**2. Let m(p) be the second derivative of 9*p + 0 + 0*p**2 - 1\/2*p**3. Calculate m(q(j)).\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 19*j = 23*j - 14, -2*j - 26 = 4*g. What is the closest to 1.8 in 0.5, 1, g, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w - 102. Let t be a(14). Sort 4, t, 5.\nAnswer: t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0572 times 6.1?\nAnswer: 6.44892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*k = 9, -2*j + 6 + 2 = k. Solve 0 = j*v + v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n - 47*n + 13*n**5 + 25*n**5 wrt n?\nAnswer: 760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7267374632.\nAnswer: 2, 7, 587, 31583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80087 divided by 4711.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 (base 8) in base 14?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 3*m**2 - m + 4. Let l be b(3). Let v = 0 + 1. Suppose v = -j + 4. Let q(u) = 1. Let f(d) = 2*d - 3. Determine j*q(y) + l*f(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**7\/350 + 7*q**6\/100 + 13*q**5\/25 + 33*q**4\/20 + 27*q**3\/10 - 1125*q**2. Let v(g) = 0. Calculate g.\nAnswer: -9, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 + 30. Let w = u - -11. Are w and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 5*b**3 - 194305*b**2 + 1888595720*b - 16981626420 = 0.\nAnswer: 9, 19426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6040, 6037, 6034, 6031, 6028, 6025?\nAnswer: 6022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -585322238 divided by -5?\nAnswer: 585322238\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -84, -12, -4, 3, 4 in increasing order.\nAnswer: -84, -12, -5, -4, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + c**2 - 3*c + 3*c.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 3:12 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/(-40))\/(2 - 3). What is the nearest to -0.1 in -5\/3, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-7829406\nAnswer: -7829406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/772211 and -43\/12916984?\nAnswer: 142086824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, n: 1, v: 1, g: 5}. Give prob of sequence vgww.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 14 = -5*k. Let f = 14 + k. Solve v - 3*v - 8 = f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*l, -2*l + 6*l = 5*t. Let b be 92\/22 + 70\/(-385). Suppose g = b + 1. Solve -6*m + g*m + 4 = l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4)\/40*12)\/((-2)\/185).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/3 and -52\/2089323?\nAnswer: 2089323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -242*m**2 - 14*m - 6. Let n(o) = -o**2 - 3*o. Give -4*n(k) + u(k).\nAnswer: -238*k**2 - 2*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 87342703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 368728 and 36.\nAnswer: 3318552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c - 3. Let b be r(-3). Suppose -3*z - 2*z - b = 3*m, -4*m = -5*z + 4. Solve z = -5*l + 3*i, 3*l - 3*i = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 628 - 628. Suppose -2*v - v + 4206 = s. What are the prime factors of v?\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 1596*k - 782. What is the hundreds digit of n(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1587, -6180, -10771, -15360?\n\"Answer: t**2 - 4596*t + 3008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4067381 months in centuries?\nAnswer: 0.00117228175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 4*d - 3*d)*(-31413 + 97363 + 11130 - 1831 + 55387 + 47933).\nAnswer: 357138*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 9:20 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/sqrt(10) + 4 - (-1 + sqrt(180)).\nAnswer: -5*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((-2*sqrt(432) - sqrt(432)) + sqrt(432) + 4)*2 + 2)**2.\nAnswer: -1440*sqrt(3) + 7137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 7:16 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9776 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -251 + -680480?\nAnswer: -680731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 298 - -458. Is 27 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 1. Let w(t) be the third derivative of 47*t**4\/24 + 9*t**3\/2 + t**2 + 5*t. Let l(j) = 5*f(j) + w(j). What is the first derivative of l(y) wrt y?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 14*h + 24. What is d(8)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63999.0000250302 - 63999. What is k rounded to 6 decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*r + 2*r - 42 = 0, -5*n - 5*r = -210. Calculate the remainder when n is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**4\/4 - 4*y**3\/3 + 3*y**2 + 6*y + 7. Let a be h(-5). Let z = a - -14. Calculate the highest common factor of z and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/36 and -157\/390?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 20*d - 75. Let j be u(-15). Suppose j = 12*v - 89 - 55. Solve -c + v = -4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 346.55671 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 1. Let r be u(-4). Let q = 5 - r. Suppose d + q - 7 = 0. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -13\/40*x**6 - 1\/4*x**4 + 11\/20*x**5 + 0 + 2\/35*x**7 + 0*x**3 + 7*x**2 + 0*x. Solve a(o) = 0.\nAnswer: 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/(2*7\/4*(3420\/76)\/315)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 17*q**2 - 1216*q + 647. Give n(71).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 11. Suppose -5*j - x = -108, -3*x = -m*j + 2*x + 48. Calculate the remainder when j is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j**2 + 4*j + 9. Let b(z) = -4*z**2 - 17*z - 3. Let d be b(-3). Is n(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/(6\/(-5)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -171*y + 11803. Let f be i(69). Sort 140, f, 0, 3, -1 in ascending order.\nAnswer: -1, 0, 3, f, 140","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9 + 1*(-4 - -6). Let w be (4\/(-6))\/(t\/21). Suppose 14 = 6*n - 10. Solve 13 = -3*o - k - w, 5*k + 31 = -n*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from amayylsyykysyylmayym. What is prob of picking 1 a, 1 y, and 1 l?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2 + 23\/2. Suppose 34 = 5*r - 2*p, -3*r + d + 11 = -2*p. What is the smallest common multiple of r and (-2)\/(-1)*84\/36*(-27)\/(-18)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 (base 3) in base 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 339071, 1355411, 3049311, 5420771?\n\"Answer: 338780*f**2 + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - s = 0. Suppose -25 = -5*j + 3*j + 3*i, -j - i + 10 = s. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 15 - 160. Suppose i = 5*s + 10. Suppose 4*u - 673 = -s*r + 86, 0 = 2*u + 8. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 782730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/a**5*a)\/a)\/a)\/(a\/((a**(1\/4)*a)\/a))*a\/a**(-2)*a\/a**(-2\/7))**(-23) assuming a is positive.\nAnswer: a**(943\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1117 - -420. Let r = 619 - k. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a + 2*a + 867 = 0. Suppose 0 = 11*f - 10*f - a. Calculate the highest common factor of 3 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 1000001110011110?\nAnswer: -1000001110011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 529 + -174. Suppose -q + 92 = -b. Let o = -108 + q. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**2 + 8*z + 6. Let k be f(-1). Let n(t) = -2*t**2. Let u(l) = l**2 + 1 - 5 + 4. What is k*n(s) + 2*u(s)?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001978 to 7 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 - 5 - 14)*(0*x + 6*x - x) to s*x + m and give s.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 25188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from ubukuyh?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75065939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0 = 6. Let p be (z - (-6 - -1))*5. Solve 0 = -5*b + p - 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - (-1 + -1))*1. Factor -2*o**5 + k*o**3 - 11*o**4 + 6*o**5 + 4*o**3 + 2*o**2 + o**3.\nAnswer: o**2*(o - 2)*(o - 1)*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15130787 * -4.\nAnswer: -60523148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - k - 4760 = q, 0 = 3*q - 5*k - 2834. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 17 = -4*d. Let c(h) = h + 2. What is the units digit of c(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -15 - (-21 + 6) - -9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2233586350 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 11*u + 4. Give b(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/((-1)\/5) + 102 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*q - 4 = 0, 3*q = -2*u + 4*q + 2. Suppose -3*x - 4*k = -0*k - 43, 0 = -5*k - 10. Suppose x = 2*g - u. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 903 divide 3264397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 30 = -n - 163, 4*k = -2*n - 138. Let r = k - 89. Let p be 6\/(-12)*4\/r. Which is greater: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -205411\/30 + 6846. Let h be (-12)\/8 - -3 - (-4211)\/1548. Let t = h + 1\/516. What is the common denominator of v and t?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 14 = 3*s, -5*a + 25 = -5*s - 5. Let u(n) = n - 1. Let r(p) = p**2 - 4*p + 3. Let m(w) = a*u(w) - 4*r(w). Factor m(q).\nAnswer: -4*(q - 4)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 3727 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 - 33*g**3 - 253*g**2 + 357*g + 578.\nAnswer: -(g - 2)*(g + 1)*(g + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t - 1. Let o be l(-1). Suppose -4*z = -o*z - 8. Suppose -s + 30 = z*s. Calculate the highest common divisor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1201*f**2 - 639*f**2 + 26*f**2 + (f + 3 - 3)*(-f - 5*f + 4*f) to the form x*f + j*f**2 + i and give j.\nAnswer: 586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 129?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(833) + -1)*-4 + sqrt(833) + 5)*-2 + 3)**2*-4.\nAnswer: -120148 + 2352*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 31 (b) -5 (c) -1\/20 (d) 5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 16\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5327?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -59*o**2 + 59*o**2 - 7*o**5 + (-7*o + 4*o + 2*o)*(20*o - 20*o - 16*o**4) + 2*o**5 - 3*o**5 - 2*o**5.\nAnswer: 6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -40 - 5?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -16, 5, -5 in decreasing order.\nAnswer: 5, -5, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 7*p**2 + 2*p + 19. Let x = 48 - 52. Let a(y) = 2*y**3 - 14*y**2 + 3*y + 39. Let s(b) = x*a(b) + 9*n(b). List the prime factors of s(7).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.3, 4, -807\/155?\nAnswer: -807\/155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 5*r - 28 = -14, -9*h - r = -16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1990 + -348. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001989642514 to four decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(153\/(-3)*(-4)\/(-16)*2)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -x - 1 + 2, 4 = -4*j + 4*x. Suppose -21*z - 9*z = -15*z - 285. Calculate the remainder when z is divided by 22\/(4 - 2) + j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 4 + 10*v**3 - 3 + 1.\nAnswer: 10*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(345\/25)*15*(-18)\/180.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 - 5*x**3 + 3*x**3 - 7*x**3 + 3*x**3 + 2*x**3 + (-3 - x + 3)*(-4*x**2 + x**2 + 2*x**2))*(13*x - 11*x + 4*x)*(3*x + 2*x - 6*x).\nAnswer: 12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -59, 9, -5, 12, -2.\nAnswer: -59, -5, -3, -2, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*n - b + 49 = 0, 0 = 5*n + 7*b - 73. Solve n*p = 12*p - 4*o + 15, -o = p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(-15)*(-438)\/12775.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 - -22. Let m = 189899.081 - 189818. Let f = o - m. What is f rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6453*l - 1884*l + 28542 = 111441 + 300897 for l.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (0 - 0\/(3 - 0)). Suppose -3*l = -p*u - 7 - 19, 3*l + 4*u = 10. Solve 4*m = -l*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110523915 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 261*t**2 + 152*t**2 - 2.\nAnswer: 413*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 32 + 20. Suppose 330 = -w*z + 6*z. Let i = z + -69. Calculate the remainder when i is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 3*v + v)*(17*v - 49*v - 26*v).\nAnswer: 116*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**2 - 12*a - 1. Let x be b(-4). Put 3, 4, x, -1 in decreasing order.\nAnswer: 4, 3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j**2\/j))**(-1\/7))**9\/((j*j**(-1\/2))**(-7\/11)\/(j*j\/(j\/(j**(-5\/7)*j*j))*j*j*j\/(j\/(j*j**(2\/11)\/j)*j)*j)) assuming j is positive.\nAnswer: j**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -21987.\nAnswer: -4\/21987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2486*v - 4978*v + 2496*v.\nAnswer: 4*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8124\/(-1008) - -9) + (-1)\/12. What is the biggest value in 1\/2, 5\/4, y?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -336, -813, -1602, -2697, -4092?\n\"Answer: y**3 - 162*y**2 + 2*y - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**2 - 20*l - 2. Let r be i(7). Let f(u) = 10*u**2. Let h be f(1). Solve -h - 12 = 3*j + r*y, -y - 6 = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (5 + -5 - 12 - -16) + -1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 17*u**6\/720 + 7*u**5\/120 + 7*u**4\/3 - 3*u. Let m(j) be the third derivative of i(j). What is the derivative of m(w) wrt w?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 = 2*l. Let h(x) = -15*x**2 - 2*x - 1. What is h(l)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178550 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + -5 - (64 - (65 + -69 + 23)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -7. Let c be 1\/w + (-105)\/(-6). Solve f = -0*f + 3*i - 14, 4*f + c = -i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -5*n + n - 16, 20*d - 25 = 102*n - 107*n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 10. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156 and 102545924?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = n + 10, -2*o + 522 = 3*n + 568 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 112*t + 9838. Is l(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 19*n**3 + 5*n**2 - 4. Let s(w) = -10*w**3 - 3*w**2 + 2. Suppose -24 = -5*x - i, 3*x = 3*i - i + 17. Give x*s(b) + 3*y(b).\nAnswer: 7*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**4 - 1028508*d**3 + 88149306567*d**2 + 528932866338*d = 0.\nAnswer: -6, 0, 171421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -7*r**2 + 17*r. Let l(y) be the second derivative of y**4\/12 - y**3\/2 - 47*y + 2. What is 34*l(p) + 6*v(p)?\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*z + 117 = -89. Let f(m) be the third derivative of -1\/8*m**4 + 0 + 0*m + 3\/2*m**3 + 40*m**z. Give f(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -5, 0, -6\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2209.75 - -36.75. Let t = o - -2173.907. Round t to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*a = 233*a + 3979 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 10, 10 = 2*z - 3*n - 22. Suppose -5*k = -u - z, -k - 8 = k + 4*u. Suppose -k - 10 = -4*a. Solve -5*l - 4 = -2*b, -5*l + 4*b - 7 = a*b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 + 0*y**4 + 2 - 7*y**3 + 16*y**3 + 3*y**4 - 6*y**3 to p + u*y**3 + j*y**2 + x*y**4 + a*y and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -282918, 1\/6 in descending order.\nAnswer: 1\/6, -0.2, -282918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60010 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 10:24 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*c*c**(-3\/7)*c*c)\/c)\/c*c**(-2))\/(c**(-2\/7)\/(c*(c**(1\/4)*c)\/c)) assuming c is positive.\nAnswer: c**(59\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 244164.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 + 60 = -3*a - 2*c, 5*a + 170 = 5*c. Let g = a + 25. Let x = 15 + g. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19\/34 + -52\/17. Sort 15, r, -5.\nAnswer: -5, r, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 182\/56) + -8 - (-2)\/(-56)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5411, 5412, 5413, 5414, 5415, 5416?\nAnswer: 5417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 45 (b) -5\/4 (c) 132 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x**2 - 44*x**2 + 14*x**2 + 24*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3690210 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 + (2 + -1 - -2). Let k = -8 + w. What is the highest common divisor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 r when four letters picked without replacement from {t: 4, r: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 10 = -0*k. Let c = 85 + -82. Let i = c - k. Solve -2*a = -0*a + i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -5. Let v = 6 + j. Suppose -2*q = v*q - 60. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*i - 12*i = -29 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37.017 - 0.017. Is n greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19556?\nAnswer: 2, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + j + 2. Let i be q(3). Let v(f) = -4*f + 0 - 4*f**2 + f**3 - 3*f**3 + 3 + 0. Is v(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -232231\/37455 + 2\/7491. Calculate the common denominator of (-2)\/(-1)*97\/(-20) and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44609\/1622 - -2\/811. Let s be (-10)\/(-167)*(-1)\/(-2). Let z = s - -12176\/501. Calculate the common denominator of x and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.029104 + -251.9\nAnswer: -251.870896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -1 + 1 + 1. Let d = b - -10. Solve 5*w + 3*q + d = 0, -4*w + 0*q - 3*q - 11 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21346 or 1?\nAnswer: 21346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -2\/31 (c) 94\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/7 in -427, 3\/7, -2\/5, 0.073?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 206403905?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((63*(-80)\/(-2520))\/(8\/9))\/((-6)\/(-128))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.2 - -0.1. Let d = v + 0.7. What is the closest to 2 in d, 0.1, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/4*4\/(-6). Let m be (-1)\/(-3) - x\/((-3)\/11). What is the highest common factor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439 is divided by (-1409)\/(-8) - 2 - (3 - -3)\/48?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-12)*-15 - -8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 938928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - g = -6*t + 13, 2*g = -t + 1. Let u = t + 3. What is the remainder when (u\/9)\/((-4)\/(-138)) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -42053, -84101, -126149, -168197, -210245?\n\"Answer: -42048*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81422 is divided by 3249.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*s + 834 = 0. Let a = s + 1313. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -1, 7, -2, -122, -14 in decreasing order.\nAnswer: 7, -1, -2, -14, -19, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 5*i**6\/42 + 24*i**5\/35 + 23*i**4\/14 + 44*i**3\/21 + 3*i**2\/2 + 4*i\/7 + 108. Suppose y(w) = 0. Calculate w.\nAnswer: -1, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*r. Solve r = -k - 2 - 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-12)*z))\/z**0*(z\/z**(-4\/3)*z*z)\/(z*z**(-3\/13)) assuming z is positive.\nAnswer: z**(607\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2. Let k(h) = h**3 - 3*h**2 - 6*h - 2. Let j(z) = -k(z) + 5*t(z). Let p be j(-4). Calculate the highest common divisor of p and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*i + i = -20, -2*k = 4*i - 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*x + 2. Let g be x\/(2\/15)*-3. Suppose 5*o + 71 = 2*k, 2*o + g - 123 = -2*k. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-6)\/(-20))\/((-72)\/60).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thti when four letters picked without replacement from {t: 5, h: 3, i: 4}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 5317818310 to the nearest one million.\nAnswer: 5318000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -23852 bigger than -23853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 10 - 2. Suppose 4*n = 28, -4*p - 2*n + 16 = -2*p. Put p, d, 7 in descending order.\nAnswer: 7, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13237145?\nAnswer: 5, 2647429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*g - b, 4*b - 5*b = -3*g - 1. Suppose -2*v + 6 + 0 = g. Let s(z) = -5*z - 4 + 2 + 2*z**3 - 5*z**2 - 3*z**v. Determine s(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**5\/23 - 8256*q**4\/23 - 8309728*q**3\/23 + 437704204*q**2\/23 + 1371156930*q\/23 + 925151252\/23 = 0.\nAnswer: -2089, -2, -1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -t + 743, -2*t - 2*l = -389 - 1133. Suppose 3*k = 5*k - t. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*m = 6. Let j be 3 - (m\/1)\/2. Suppose j*l - 200 = -68. Calculate the highest common factor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h = -18*h + 91. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 70 + 15)*(5 - 5 + w**2)*(0 + 4 + 0).\nAnswer: -336*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -5*b - 728 + 749, 4*b - 21 = 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-5)*((-4)\/(-10))\/(282\/1410)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 885571 + 638964 = -2302433. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 21, 405, 3062, -4 in increasing order.\nAnswer: -4, 4, 5, 21, 405, 3062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**3 - 3*c**2 + 64*c - 77. Give r(4).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -4) + (-2 + -5 - -1). Calculate the remainder when ((-17)\/2)\/(2\/l) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155709947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*r**2 + 307576*r - 2956343618 = 0. Calculate r.\nAnswer: 38447\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 7:34 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.064 not equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*t + 5*n + 3, 3*t = 3*n + 6. Solve x + 1 = -t*g + 9, -10 = -4*x - g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*m = 31*m + 17. Let w be 3\/(-9) + 280\/(-6). Let u = m - w. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 4*q = -12, 17580*m + 6 = 17578*m - 2*q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117 + 185. What is the remainder when i is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 12, 3*t - y - 15 = -6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 250.718 - -0.782. Round l to the nearest ten.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(35)\/(sqrt(20)\/sqrt(4)).\nAnswer: -4 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*p + 76 - 90. Is p greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7319583 and -6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*w**4 + 466*w**2 - 17995 with respect to w.\nAnswer: 196*w**3 + 932*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9843 and 1590067749.\nAnswer: 9843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -1\/4, 3\/7, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 188, 170, 142, 104, 56?\n\"Answer: -5*b**2 - 3*b + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -213dcb - -95?\nAnswer: -213d36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30819.\nAnswer: 3, 10273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**4\/3 - 3923954*q**3\/3 - 7847902*q**2\/3 - 3923950*q\/3 = 0.\nAnswer: -1961975, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5937*z - 219641. Give d(-37).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347*s + 338*s = -4185. Let p = -3259\/7 + s. Which is the second smallest value? (a) 4\/5 (b) -10 (c) -8 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12558)\/(-1470) - 6)*35?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, a: 2, z: 7}. Give prob of sequence zza.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - 10. Let u = -20 - j. Which is the nearest to u? (a) -5 (b) -0.2 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.019, -1\/5, -2\/8697?\nAnswer: -2\/8697","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2 + 27301308*p + 93170177313858 = 0.\nAnswer: -6825327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -185*s**4\/3 - 115*s**3\/6 + 4843*s**2. Differentiate u(f) wrt f.\nAnswer: -1480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142*(-16)\/28*-7 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t - 20. Let m be y(16). Calculate the highest common divisor of 198 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*t**2 - 78*t**2 + 57*t**3 - 54*t**3 + 151*t**2.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 91600 = 55*d + 23*d. What are the prime factors of d?\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1530 (base 7) to base 4\nAnswer: -21201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 216*r**3 - 61*r wrt r?\nAnswer: 1296*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 97662 and 5705684?\nAnswer: 701799132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 7*o. Let s(z) = 478075*z**2 + 11700*z + 17550. Let q(a) = 327*a**2 + 8*a + 12. Let k(n) = -2925*q(n) + 2*s(n). Give k(w(m)).\nAnswer: -15925*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 124 + -40. Suppose -2*d = 1 - 14 - 35. Calculate the greatest common divisor of k and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 984 and 2829?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/13)\/(170\/20 - 9).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 386 - 635. Let h = 220 - 312. Let a = h - u. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 752510902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 25 = -b + 3*z, 0 = -3*b - 4*z + 140. Suppose 0 = 31*d + 3*d - 3669 - 1091. What is the greatest common factor of b and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*x - 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yruzsshzy. What is prob of sequence uz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-2))\/((-21)\/2646) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -48 - 6. Suppose 4*f = 15 - 3. Calculate the greatest common factor of l and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k + 62 = -11*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1473, 1456, 1413, 1332, 1201?\n\"Answer: -2*f**3 - f**2 + 1476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/3875 and 26\/8525.\nAnswer: 42625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 minus 329.75438012?\nAnswer: -307.75438012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 773321, 773326, 773331, 773336, 773341, 773346?\n\"Answer: 5*g + 773316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6\/z**(4\/5))\/(z*((z*z*z*z**(-2))\/z)\/z*z**4) assuming z is positive.\nAnswer: z**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*h + 162*h = 49*h - 54*h. Let x(b) = -b**3 - b**2 + 2*b + 6. Give x(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 626080 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-22)\/m*m*m*m**(-1)\/m*(m**(-46)\/m)\/m*m**(-1\/5)\/m)**28 assuming m is positive.\nAnswer: m**(-10108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.11659 and 6.1.\nAnswer: 6.21659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 28*n**3 + 37*n**2 + 37*n - 196. Let g(j) = -6*j**3 - 9*j**2 - 9*j + 49. Let f(c) = 9*g(c) + 2*q(c). Let b be f(6). Which is smaller: 188 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2863 = -9*q + 2818 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 7*h - y - 1, -5*y = 5*h + 5. Is 2 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n. Let q(s) = -357*s**2 - 627*s. Give y(q(z)).\nAnswer: 714*z**2 + 1254*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/7)\/(-4 + (-145)\/(-35)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**3\/4 + 19027*w**2\/2 + 2102045*w + 115778850 = 0.\nAnswer: -110, 38274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -3b30015?\nAnswer: -3b30013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -145*f - 1001. Calculate h(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 783006178.\nAnswer: 2, 43, 9104723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -35672716730308 and -0.1.\nAnswer: -35672716730308.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.5 + -17. Round s to 0 dps.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-6)*(-6)\/(-5). Let h = -4 + 4. Solve g + h = -w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.341 * 0.1.\nAnswer: -0.0341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -8*q - 81. Let w be b(-9). Let u be (-4)\/3 - -184*(-3)\/w. What is the greatest common factor of u and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 0.026, -1\/32, 2?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 f when three letters picked without replacement from {f: 3, u: 5, o: 4}.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d78 + 9?\nAnswer: d81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93)\/(-465) - (-41)\/(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 508 and 771167114?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-96)*4*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2 = c, -u + 3*u - 8 = 2*c. Let i(v) = -v**3 - 3*v**2 + v + 3. Let s be i(c). Let m = 3 - s. Solve r = x, 2*x = -m*x + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 76 - 52 = 0. Let x = b + -174\/11. Factor 4\/11*p - 2\/11*p**2 - x.\nAnswer: -2*(p - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2028 - 6660732.55.\nAnswer: -6658704.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19261 and 27339026.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -252*l**2 - 59\/3*l**3 + 1\/6*l**4 - 4160\/3 - 3088\/3*l.\nAnswer: (l - 130)*(l + 4)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101 - -11110100110000100?\nAnswer: 11110100101011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -24?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 - -35. Let u be (-15)\/q - 3 - -2. Suppose 3*o = -5*z + 238, u*z - o - 70 = 117. What are the prime factors of z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -3*v + 10, -d + 2*v + 14 = 7*v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -47. Let s = r + 108. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324*u + 316*u = -2600. What is the remainder when u is divided by 110?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3069 and 0.4.\nAnswer: 0.0931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351168?\nAnswer: 2, 3, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-5)\/(-30)*10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 11:24 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21.5 - -22. Let f be 2 - (-3)\/12 - 2. Let t(q) = q - 11. Let z be t(10). What is the closest to 0.1 in a, f, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 11*x - 6*x + 15 = 0, 5*x + 11 = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -98, -107, -130, -173, -242?\n\"Answer: -d**3 - d**2 + d - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.6 + -10.549. Let r = f - -21.949. Let p = -21.8 + r. Is p >= 3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z - 4. Let d be c(10). Suppose -w + d = 4*r, -2*w - w = -4*r + 56. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10540 + -8993. Calculate the greatest common factor of t and 2261.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-4\/9)\/t*t*t\/(t\/(t\/(t\/((t*t**(1\/5)*t)\/t*t*t))))*(t*t**(-3\/7)*t)**32 assuming t is positive.\nAnswer: t**(16708\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 20. Let w = t - 5.5. Which is the second biggest value? (a) w (b) -0.3 (c) 1\/2 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10 - 8 - 2*-1. Suppose -2*b = m, 8 = 3*i + 2*b - 0*b. Solve -i*l + 4*s = -l - 16, -l - 3*s + 1 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2)\/(510\/2720) - -2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2) - (-66)\/4. Suppose -b = 2*m + 7. Is 2 + m\/4 + 7 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1508 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*s - 113 = 0, 6*o = 2*o - s + 101. Calculate the remainder when 155 is divided by o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 22. Solve -4*x - 3*v - 17 = s, -2*v - 2*v - 10 = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.925141 to 2 decimal places.\nAnswer: 3.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -41. Suppose f - 2*c - 6 = 0, 0 = -4*f + 5*f - 4*c - 8. Let v = f + 12. Calculate the smallest common multiple of v and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, s: 8}. What is prob of sequence rs?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppaapaaapppapappaa. What is prob of sequence aap?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 225 by -3.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**5\/90 - 3631*l**4\/18 + 13184161*l**3\/9 - l**2 + 744. Determine u so that d(u) = 0.\nAnswer: 3631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14023 divided by -37.\nAnswer: -379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1200 by -8.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 = -b, -4*b - 8 = -4*z - z. What is the remainder when b\/((-3)\/((-45)\/(-6))) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -10 - 0, n = -v + 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-376)\/(-12) + 4\/6. Suppose 3*b + 380 - 38 = 0. What is the common denominator of 56\/3 and (40\/12)\/(n\/b)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 2*r + 10 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -18, 337, 2, -4, -8.\nAnswer: -18, -8, -4, 2, 4, 337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 33 = q, 0 = -1148*g + 1150*g + 3*q - 3 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4))**(-31) assuming r is positive.\nAnswer: r**124","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 148690620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 2, 6.\nAnswer: 2, 6, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -1\/4*p**5 + 0*p**4 + 91*p - 17\/2*p**2 + 0 + 0*p**3 + 7\/30*p**6. What is the first derivative of t(l) wrt l?\nAnswer: 28*l**3 - 15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + f - 5 + 2, -2*f + 2 = 2*y. Let q(v) be the first derivative of v**4\/2 - v**2 - v - 118. What is the smallest common multiple of q(y) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*d = -196, 0*y + 5*y + 4*d - 1035 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-40)*-2)\/(10\/(-4)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 4, -136, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = g - 4*j, 220*g - 2*j + 6 = 216*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44920 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*d - 35 = 5*h, d = 5*h + 15. Suppose d*l + 0*l - 10 = 0. Suppose a = -l*a + 1980. What is a rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 2850?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 880 - 75. Let m = -352 + i. Suppose -4*y + m = 5*j, -3*j = y - j - 111. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 48.2\nAnswer: 48.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/3)*c)**25*(c**3\/c)\/c**(3\/8))\/((c*c*(c*c\/(c*c*c*c*c*(c**(2\/5)*c*c*c)\/c)*c)\/c*c)**(-1\/14)*c**(1\/9)*c**6\/c) assuming c is positive.\nAnswer: c**(11783\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1568)*-1 - (0 + sqrt(1568)))**2)*-3.\nAnswer: -18825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 685687.\nAnswer: 274274.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 265*x + 48 = -792*x + 264*x + 258*x, 4*q = -11*x - 90 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4023 + -4031. Sort b, 3, 77 in descending order.\nAnswer: 77, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -106\/525 and 71\/882.\nAnswer: 22050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173200, 173214, 173218, 173206, 173172, 173110, 173014?\nAnswer: 172878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2450.2 less than -128?\nAnswer: 2322.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/3 (b) -89619 (c) 17 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g. Let j(t) = -t**2 + 4*t + 7. Let l(s) = s**2 + 4*s. Let b be l(-5). Let q be j(b). Let i(m) = m + q*m - m + m. Calculate k(i(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -26*z + 14 - z**3 + z**3 - z**3 - 15*z**2. Calculate the remainder when 46 is divided by u(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -2*o**5\/45 + 5*o**4\/18 - 14*o**3\/27 + o**2\/3 + 77. Factor w(v).\nAnswer: -2*v*(v - 3)*(v - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -89 - ((29 - (-38 + 29)) + -34)) + -3.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 2.9, 2\/15, 4\/17, 3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 814 + -814. Put z, -3, -115 in ascending order.\nAnswer: -115, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 194424315 and -0.5.\nAnswer: -97212157.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21876, -44597, -67320, -90045, -112772, -135501, -158232?\n\"Answer: -l**2 - 22718*l + 843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -110010?\nAnswer: -110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 297 - -490. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(504\/(-98))*(-3)\/(-189))\/((-4)\/(-6))?\nAnswer: 1\/108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 10:56 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 210 - 25 = 0. Suppose z - 2*d = 3*z + 26, -4*z - 5*d = c. Let p = z + 86\/5. What is the nearest to -2\/3 in p, -6, 2\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13012023 (base 4) to base 9\nAnswer: -43776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11385)\/(-374))\/115*(-26)\/13?\nAnswer: -9\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**3\/3 - 3*j**2 - 3*j + 4. Let t be a(-6). Let r be 2\/(-8) - t\/4. What is the biggest value in -1, 0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17182808?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 95 + -55 + -19 + (9 - 34)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75*l + 75*l - 8*l**2)*(2*l**2 + 2*l**2 + l**2).\nAnswer: -40*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -2*z - 39 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**3\/6 - j. Let h(a) = -39 + 39 - 3*a**2. Give u(h(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1583, -1568, -1537, -1484, -1403, -1288?\n\"Answer: f**3 + 2*f**2 + 2*f - 1588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -54*f - 61. Determine a(3).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - (-3752)\/(-147))*((-1)\/(-3))\/((-14)\/(-63))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(972)*5)\/((4*sqrt(384) + sqrt(384))*4))**2.\nAnswer: 81\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85889286355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/(-1) - 1175\/94. Suppose -3*k + 5*j - 245 = 0, -4*k = -3*k + j + 87. Let s = -597\/7 - k. Which is the closest to s? (a) q (b) -5 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(1 - 5 - 2)*(-n + 0*n - n)*(30*n**2 + 141*n**2 - 96*n**2).\nAnswer: 1800*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t + 2*t - 5*t + (6 - 1 - 3)*(-4 - t + 4) - t + 3*t - 3*t + (0 - 1 - 1)*(-2*t + 4*t + 4*t) as l*t + r and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from slslzzzszssz.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 4164\/702 + (-2)\/(-9)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 - 39. Let n be 6*(-4)\/6 + g. Which is the biggest value? (a) -2 (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6559 + 6563. Let -2*y - 1\/5*y**k - 3\/5 - 12\/5*y**2 - 6\/5*y**3 = 0. What is y?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2028 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 21. Let s be (-60)\/(15\/(-3)) - k. What is the greatest common divisor of 99 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 2, 5*v + 8 = -5*i - 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*m + 48. Suppose 0 = 5*i + 2 - m. Suppose 4*d - 2 = -r, -2*r + i*d + 20 = -4. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97880 at most as big as 97924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4010402041?\nAnswer: 47, 85327703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.586324 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4159518887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1, 74, 327, 868, 1805?\n\"Answer: 18*y**3 - 18*y**2 + y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25967220 and 445524?\nAnswer: 3252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 16*c + 5430. Let k(a) = -2*a. Give k(f(t)).\nAnswer: -32*t - 10860","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1449?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 66033257 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 + 95*t - 20. What is d(-48)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (-23 - -5) + -10 + 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 12. What is the third smallest value in -0.1, -1\/2, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*i**2 - 16 + 12*i**2 - 26*i + 10 + 8 + 5*i**4 in the form k*i**2 + b*i**3 + x*i + y*i**4 + p and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -51*q**3 + 21*q**2 + 21*q + 21. Let v(u) = 10*u**3 - 4*u**2 - 4*u - 4. What is 4*b(n) + 21*v(n)?\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1584 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*h + 202*h = -1464 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/2 and -37\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3072237 is divided by 20212?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - (-35 - -96)) + 29.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/675*6)\/(-4*22\/440)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - q = 10, -12*q = 2*z - 8*q - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 2*z + 7, 208*z - 212*z - 9 = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -465*h**3 - 9885890*h**2 - 52543345900*h + 1129969000 = 0.\nAnswer: -10630, 2\/93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.65 - -2.25. Let k = o - 2.8. What is the smallest value in k, 2\/11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -79 + 215. Differentiate 903 - 440 - 435 + w*z**3 wrt z.\nAnswer: 102*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1660.275 centuries?\nAnswer: 166027.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(2\/5))\/(((w\/(w\/(w**(-1\/4)*w)))\/w)\/w))\/((w*w**(3\/8))\/w**(2\/45)) assuming w is positive.\nAnswer: w**(187\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 12*y = 12. Suppose g = -y*c - 34, -3*g + 4*c - 70 = -0*g. Let v = 15 + g. Is v less than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2, -4, 26272, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*i**3 + 955*i - 957*i + 108*i**3.\nAnswer: 5*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + t**2 - t**2)*(t + t - 3*t) + 2*t**3 - t**3 + 2*t**3 + (4*t**2 - 3*t**2 + 0*t**2)*(4*t - 2*t + 0*t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 336 and 20.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1568367173 minus -0.0173?\nAnswer: -1568367172.9827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 69?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by -4?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 4*v = -12 - 72, -8353*v = -4*s - 8357*v + 84 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83009453?\nAnswer: 17, 647, 7547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*i**3 - 18*i - 7*i**3 + 4 + 13*i**3 + 40*i.\nAnswer: -57*i**3 + 22*i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from {v: 18, c: 1, n: 1}?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/8)\/k**(-2\/15)*k**(-7)*k\/k**(4\/5)*(k**(-2\/25)*k)\/k*k*k\/(k*k*k**4)*k**5*k*k**5 assuming k is positive.\nAnswer: k**(377\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 933, 1871, 2807, 3741, 4673, 5603?\n\"Answer: -b**2 + 941*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 13356*o - 27909300.\nAnswer: 3*(o - 1550)*(o + 6002)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5895 + 5895 + 7*l.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*b + 175 + 537 = 135*b - 269*b for b.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 496351 and 822.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g**2 - g + 2. Let p be h(-6). Suppose 2*n + 183 = 5*n. Suppose -p = -f - n. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(13 - 4)\/9)\/(-1)*(-22)\/(-517)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*j*l**3 - 9*j*l**2 - 272*j*l - 2*j - 2*l + 29442 wrt l.\nAnswer: 36*j*l**2 - 18*j*l - 272*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 82*j - 68*j. Let h(m) = m - 27. Calculate h(j).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*m**4 - 305817*m**2 + 2493916 wrt m.\nAnswer: -12*m**3 - 611634*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 196*h**4 - 280*h**3 - 1776*h**2 - 928*h - 128.\nAnswer: 4*(h - 4)*(h + 2)*(7*h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10071967 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 + 3 - 2 - 2*a - 2*a**2 - 18*a**2 + 119 - 119 + (-4 + a + 5 + 2)*(-209 - 10*a + 209).\nAnswer: -30*a**2 - 32*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 12587721923 to the nearest 1000000.\nAnswer: 12588000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3164 - -7433. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30.99 - 31. Which is greater: r or -1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11782*r**3 + 11405*r**3 + 11809*r**3)*(r + 0*r - 2*r).\nAnswer: -11432*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1505, -1502, -1497, -1490, -1481?\nAnswer: -1470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*s - 10 = 0, -2*o + 15 = -7*o - 3*s. Let d be o + (7 - 6\/3). Let u = 21 - d. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - 38. Is (c\/(-15))\/(758\/(-762) + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18404 times 0.4?\nAnswer: -7361.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2216*w**2 + 453*w**2 + 5*w**3 - 7*w**3.\nAnswer: -2*w**3 - 1763*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + h + 7, -5*h + 10 = 6*d - d. Let t(a) = -5*a - 21. Let r = 44 + -49. Let v be t(r). Put -5, d, v in increasing order.\nAnswer: -5, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1440 + 11*f + 1440.\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32157\/8 - -225147\/56. Find v such that 3\/7*v + z*v**2 - 10\/7 + 1\/7*v**3 = 0.\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258, 1046, 2362, 4206?\nAnswer: 6578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -8. Let o be 40\/50 + 1\/5. Let i be (-2 + o)\/((-2)\/8). Solve i*x = x - t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1415, 1412, 1399, 1370, 1319, 1240, 1127, 974?\n\"Answer: -h**3 + h**2 + h + 1414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 + -29c28a?\nAnswer: -29c278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/24)\/((-3)\/(-2))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -94, -144, -246, -418?\nAnswer: -678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**4\/12 + 17*d**3\/6 - 2*d**2. Suppose 0 = q + 4*f - 13 + 5, -5*q = 5*f - 40. Does 8 divide v(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1608785 + 0.1608. Round n to six decimal places.\nAnswer: -0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-102)\/21)\/(0 - 2) - 3. Put 9, -2, y in ascending order.\nAnswer: -2, y, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(684) + (sqrt(19) - (-1 + (sqrt(19) - (sqrt(19) + 2)))).\nAnswer: 3 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 640 and 336?\nAnswer: 13440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = 16*v, 5*v + 78 = 3*n. What is the greatest common factor of 8 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -1\/29102 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.26345 and 737.75.\nAnswer: 737.48655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x + 3. Let g(k) = -3*k - 3. Let v(p) = -2*g(p) - 3*n(p). Suppose -2*r = 10 - 0. Let b = r - -1. Determine v(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -21*g**2 + 9*g + 9. Let z(m) = -m - 15. Let t be z(-6). Let b(l) = -5*l**2 + 2*l + 2. What is t*b(p) + 2*i(p)?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 15*x - 26. Give w(17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 9*r**2 + 11*r - 10. Let t be h(10). Let z(b) = b**2 + 4. Let k be z(t). Suppose 2*w - 3*w + 73 = 3*y, 4*y - k*w = 108. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -29.7. Let y = 5.7 + w. Let n = 0 - -1. Which is the closest to n? (a) 0 (b) 0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46585921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20881 + 20879. Let v = -8 + 3. What is the nearest to v in 0.5, j, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q + 3518 = -466. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m - 26 + 34 - 37*m. Let a(k) = -28*k + 5. Let b(d) = -8*a(d) + 5*h(d). Let z(s) = s. Give z(b(r)).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 191\/6 - (-1)\/6. Suppose -b = -2*z + 6. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + 100111?\nAnswer: 101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 660, 1178, 1782, 2514, 3416, 4530, 5898?\n\"Answer: 7*a**3 + a**2 + 466*a + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 416460.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-6)*w\/((w\/(w*w*w\/(w**(12\/7)*w))*w)\/w)*w)**(-8) assuming w is positive.\nAnswer: w**(-464\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**3\/3 - 5*m**2\/2 - 5*m - 5. Suppose -26*t - 80 + 44 = 68. Calculate y(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 21*u**4 - 4101*u**3 - 51939*u**2 + 210789*u - 55890 = 0?\nAnswer: -15, 2\/7, 3, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2 + 85. Let b = m + -85. Let i(u) = 4*u - 3. Determine i(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2 - 20064*a - 140497 = 0. What is a?\nAnswer: -7, 20071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, j: 1, q: 3, k: 5, g: 2, i: 1}. What is prob of sequence iag?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.4 + 0.4. Let n = f - -5. Let x = n - -1. Which is smaller: x or -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aj when two letters picked without replacement from {j: 14, a: 4}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2920 divided by 292.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -774135 by 1.\nAnswer: -774135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 - 3.99. Let y = 1847.7 - 1762. Let b = -85 + y. What is the closest to -2\/3 in 0, b, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/4 and 107\/196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 67057382\nAnswer: 33528691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -10*h**3 - 30*h**2 - 16*h. Let x(b) = 8*b**3 + 28*b**2 + 14*b. Determine 5*i(t) + 6*x(t).\nAnswer: -2*t**3 + 18*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooyozooozyozfzozzz. What is prob of picking 2 o and 1 z?\nAnswer: 49\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypv when three letters picked without replacement from vpy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**9\/15120 + x**8\/1260 - x**5\/20 - 7*x**3\/2 + 3*x**2 + x. Let c(j) be the third derivative of n(j). Factor c(r).\nAnswer: 4*r**2*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326 = 18*a + 53*a + j + 42, 4*j = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*j - 65, 5*j + 60 = 3*o - o. Let s = j - -12. Solve 4*f - 6 = s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, y: 2, v: 3}. What is prob of sequence ly?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 1355?\nAnswer: -1350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 39\/10 or 315?\nAnswer: 315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -1, -0.86, -0.1, -13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 0*u - u)*(0 + 0 - 2*u**3) + 4*u**4 - 2*u**4 - u**4 + u**2 - u**4 - u**2 + 2*u + 9973*u**3 + 2*u**4 - 9977*u**3 + 5 - 3.\nAnswer: -2*u**4 - 4*u**3 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(50)\/sqrt(360))*-2.\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1480288 divided by 1336?\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 809975.000036 + -809961. Let x = 16 - 2. Let u = x - o. What is u rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 2, 2566 in descending order.\nAnswer: 2566, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p**4 - 13*p**3 - 5*p**2 + 9*p - 4. Let q(r) = -27*r**4 + 53*r**3 + 19*r**2 - 35*r + 17. Let b(o) = -9*d(o) - 2*q(o). Factor b(z).\nAnswer: -(z - 1)**2*(z + 1)*(9*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -20 - 31 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4893*o**3 + 7376*o**3 - 2524*o**3.\nAnswer: 9745*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 418 or 1\/3?\nAnswer: 418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(4\/5)\/j)*j)\/j)**(-39) assuming j is positive.\nAnswer: j**(-234\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -7*r**6\/30 + 3*r**5\/20 - 39*r**2 + 26*r. Differentiate u(s) with respect to s.\nAnswer: -28*s**3 + 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1971100 is divided by 147?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3075 is divided by 114.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r - 12. Let w be y(-6). Let z be (2 - (6 + -4))\/(-2 - w). Suppose 5*u - 75 = -z*u. What is the highest common divisor of u and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.9328048 less than -2303?\nAnswer: -2389.9328048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/471, -2\/13, 3, 0.4, 1?\nAnswer: -1\/471","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -4. Let v = i + -6. Solve s = -v*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-10)\/(-75))\/(4\/(-327)) and 76\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*a**2 + 23*a**2 + 9*a**2.\nAnswer: -38*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -378 - -381. Let n be 5\/1 + -3 + -7 + v. Which is the smallest value? (a) n (b) 0.1 (c) -5\/6 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 2 (c) -1\/4 (d) 4 (e) 33\/579257 (f) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 + 12164416?\nAnswer: 12164366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 760 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 2)*(-2*y**2 + 3*y**2 - 3*y**2) + 4*y**2 - 6*y**2 + 4*y**2 - 20 + 20 + 13*y**2 in the form f*y**2 + o*y + w and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4189415 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mufm when four letters picked without replacement from {u: 4, h: 5, f: 1, q: 1, m: 5}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -22*j. Let q(w) = w + 13. Let v(p) = -6. Let f(o) = 6*q(o) + 13*v(o). Calculate f(x(n)).\nAnswer: -132*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/3 (b) 1\/6 (c) -5\/17 (d) 33 (e) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 654975?\nAnswer: 3, 5, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -85838*a**3*d*i + 166*a**3*d - a**2*d*i - 6*a*d + 30538 wrt i?\nAnswer: -85838*a**3*d - a**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -2. Let g = 13 - v. Solve 2*t - g*t = -15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369*s - 636*s + 686 = -316*s for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4828?\nAnswer: 2, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.7 + 3.735. Let g = b + 0.262. What is g rounded to two decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - 4557\/(-294))\/((-155)\/(-438) - 3\/9)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28461 by 537.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 h, and 1 i when three letters picked without replacement from {f: 1, s: 3, o: 3, c: 5, h: 1, i: 5}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -32005?\nAnswer: 64010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*o + 8. Suppose -3*m + 4 = -2. What is the third derivative of -a**2 - 2*a**o + 0*a**4 + a**2 - m*a**4 wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144377.7 litres in millilitres?\nAnswer: 144377700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 53 + -37 + -7 - (-3 + (5 + 3 - -75))\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 9. Let l be v(7). Suppose l = 2*b - 4. What are the prime factors of (4\/b)\/((-8)\/(-60))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 11 = -3*l, -7*s + 2*s - l + 13 = 0. Suppose 126 = -s*u + 430. Suppose 5*n + 0*b - 189 = b, 4*n - u = b. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/6*(-1872)\/(-780). Suppose 4*c - 8 - 92 = 0. Solve -z = n*z + c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 5 + 1 - 5)*(0 - y**4 + 0).\nAnswer: -3*y**5 - y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 1\/3*c**3 + 1\/2*c**2 - 1\/12*c**4 + 0 + 7\/20*c**5 + 2*c. Is o(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 78 = z - r, 144 = 3*z + 4*r. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 330 and 616.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d + 35. Does 5 divide o(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5899355, 2, -2, 4, -1, 5 in descending order.\nAnswer: 5, 4, 2, -1, -2, -5899355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3439584220870.75600245 - -3439589469912. Let v = 5248921.244 - w. Let q = -120 - v. Round q to seven decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 245, -21200, 12 in increasing order.\nAnswer: -21200, 12, 245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56489604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-1)*(-113 + 12516\/112)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101 (base 2) in base 10?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**5\/60 + 7*i**4\/8 + 23*i**3\/3 + 5*i**2. Calculate the remainder when 45 is divided by o(-20).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 10, 70, 196, 412, 742?\nAnswer: 1210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5776 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-4) - 54\/(-8). Is 5 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1050 + -52?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9 - -4)*(-3)\/3*-1. Is 5 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3394564 * 3.\nAnswer: -10183692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*j - 1. Let v = j - -2. Suppose -5*y = v*u - 38, u - 16 = -3*y + 10. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -2\/9, 0.013, -1.\nAnswer: -3, -1, -2\/9, 0.013, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4*k + 3*k + 2*k)*(-3*k + 7*k - 3*k) + 6 - 6 - 6*k**2)*(-3 + k**2 + 3) to the form m + a*k**3 + h*k**2 + n*k**4 + q*k and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*g**3 - 2*g**3 - g**3 - g**3 - 1 wrt g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**3 - 1615050*y**2 - 1615065*y + 3230110 = 0. Calculate y.\nAnswer: -2, 1, 323011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, r: 1, u: 11}. What is prob of picking 3 u and 1 t?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -b9?\nAnswer: b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 + 66 = -3*g. Solve 4*z - g = 3*x, -3*x = -3*z - 1 + 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*f = -28*f - 20. Let q be (-2289)\/(-35) - f\/10 - -2. Let u = q + -64. Solve 5*m = 2*r + 5, 0 = -5*r - u*m - 2*m + 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igpibsl. What is prob of picking 1 i and 1 s?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 11, k: 5}. Give prob of sequence ffk.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2108509 or -2108512?\nAnswer: -2108512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 23331.289 to the nearest 10.\nAnswer: 23330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(-2)*(-2 + (-690)\/(-117)) and -5\/7.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 76 or 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 6:41 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2. Let n(u) = 8*u**2. Let j(z) = -4*a(z) - n(z). Let i(g) = 22*g**2. Determine j(i(l)).\nAnswer: -1936*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 147454843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d2 + -3?\nAnswer: 1cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(15)*-1)\/sqrt(5) + -1 - ((-1 + sqrt(108))*4 + -1*(sqrt(108) + -1) + sqrt(108)))**2.\nAnswer: 150*sqrt(3) + 1884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -12. Let o(x) = 1564*x + 21891. Let z be o(-14). Let b = -0.1 - -0.2. What is the nearest to f in z, -8, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 24*u**3 + 2*u**2 + 33*u + 54. Is h(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t. Let c(i) = -660*i**2. Give c(o(p)).\nAnswer: -10560*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, -0.3, 0.5, 2\/5, -4139?\nAnswer: -4139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 9:34 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14364 + -747017\/52. Find the common denominator of k and 77\/312.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5 = -3*g, 47798 = u + 2*g. Suppose -9*t + u - 14661 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400728 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + 6*(sqrt(132) + sqrt(132) + sqrt(132)*1))\/sqrt(12)*5 + -3 + (sqrt(539))**2 + 4 + 5.\nAnswer: 95*sqrt(11) + 545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 4*a + 28, -a + 2 = -j + 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 6*f**2 - 7*f + 2 + 2 + 2. List the prime factors of q(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, v: 8}. Give prob of sequence vvvp.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 123.7 + -128. Let q = -2.78 - 0.22. Let n = q + m. What is n rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6776 by 22.\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 5:20 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 34 + -97 + 53 + (31 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + i - 3498, 2*a = -a - 4*i - 2108. Let l be ((-1530)\/(-21))\/((-3)\/a). Round l to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11158 divided by 109.\nAnswer: 11158\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31009?\nAnswer: 11, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 m when three letters picked without replacement from yummllymuymmm.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.282 + -6.882. Let f = 2.72311 + 3.87738. Let i = f + x. Round i to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mootwmm. What is prob of picking 1 t, 2 o, and 1 m?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - q - 26, -2*u + 2 = -q - 9. Suppose -5*r - 4*a = -0*r - 16, -u*r = -a + 4. Suppose 3*t - 33 = 5*y, r = 3*t - t + 4*y - 44. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57831 and 740?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.866614l in millilitres?\nAnswer: 8866.614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/2, 11, -0.4, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -136 - -139. Solve -2*a - x - 7 = a, -u*x = -5*a - 35 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 65*t + 336*t + 3609 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o - 4224 = 20*o. What is the highest common factor of o and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*s + 14*s + 15*s - s**4 + 3*s**4 wrt s?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -5. Let k(f) = 2*f - 5*f + 3*f + h*f**2. Let c(u) = 16*u**2. What is c(k(o))?\nAnswer: 64*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7*b**3 - 8*b**2 + 36*b + 6. Let a(i) = -15*i**3 + 19*i**2 - 74*i - 14. What is -3*a(u) - 7*h(u)?\nAnswer: -4*u**3 - u**2 - 30*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**5\/11 - 12*y**4\/11 + 142*y**3\/11 + 480*y**2\/11 - 3200*y\/11 = 0. Calculate y.\nAnswer: -8, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -46, 3\/4, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 2*h - 1. Let i be z(-2). Suppose -74 = 6*r - i*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5045 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 + -6?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 2*i + 24. Let j be u(0). Calculate the lowest common multiple of 2 - (-1)\/(3\/j) and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6, -2, -38, -114, -242?\n\"Answer: -2*u**3 - 2*u**2 + 12*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3240357 is divided by 56848?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -12*v**2 - 159*v + 51. Determine s(-14).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192 - 39 - 1 - 155 - 124*b.\nAnswer: -124*b - 387","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 233 + -221. Calculate the remainder when f is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*d**3*k - 7248*d**3 + 154426*d**2*k**3 + 586*d wrt k.\nAnswer: -7*d**3 + 463278*d**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1110 = 4*j - 3178. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*k**5*r**3 - 5*k**5 + 6*k**3 + 36*k**2*r**2 - 3*r**3 wrt k.\nAnswer: 780*k**2*r**3 - 300*k**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 812953.\nAnswer: 19, 42787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 0.4 (c) 2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 24\/11 (b) 0.9 (c) 0.1 (d) -58\/219\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 (base 11) in base 2?\nAnswer: 10110110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -19\/2. Suppose -1047*p + 4*h = -1045*p - 34, 4*p - 5*h - 44 = 0. Let b = -4.8 - -0.8. What is the closest to -2\/3 in g, p, b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = w - 5. Let t = -34 + w. Let d = -14 - t. Calculate the greatest common factor of 48 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 9:42 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -126 + 133. What is the highest common divisor of s and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -3, 1\/3, -0.3, 435?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*i - 6. Solve -i*h - 14 = -2*p, -p - 2*h + 19 = -6*h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*o**3 - 752 + 752 - 133*o**3.\nAnswer: -308*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5*m - 18, 2*y - 4*m = -7 - 5. Let d be 1\/(3\/y*4). Let h = -2 + 2.1. Which is the closest to -1? (a) d (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 9) to base 7.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6086 and 331330.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 7:06 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(2\/7))**(-18)*(p**(-10)*p*p)\/(p\/(((p**(-6)\/p)\/p)\/p)) assuming p is positive.\nAnswer: p**(-216\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.8 + 7. Suppose 25*h - 27*h + 28 = 5*g, 2*g = 3*h + 15. Let m be (-3)\/1*6\/(-9). Which is the nearest to m? (a) w (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4600685123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -25067*y. Let f(s) = -385*s**2. Give c(f(h)).\nAnswer: 9650795*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -x - 4*l, -2*x - 3*l = -4*x + 4. Factor t**3 + 0*t**2 - 8*t**x + 8*t**2.\nAnswer: t**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -97 and 0.2766332.\nAnswer: -96.7233668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - 18. Let g be 16\/((-3120)\/(-9)) - 4\/v. Let 0 - 4\/5*m + g*m**2 = 0. What is m?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.6 + 0.4. Let s = -0.6 - -3.6. Let r be ((-1)\/(-5))\/(4\/(-5)). Which is the closest to 1? (a) r (b) s (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1371\/11077?\nAnswer: -1371\/11077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 341813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 134 + -132. Suppose u*t + 252 = 6*t. What is the highest common factor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 26. Let l(q) = q**2 + 3*q - 6. Let g be l(-5). Solve 5*n + z*d - 6 = 18, 4*n = -g*d + 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 3 = -a - 0, 5*a - 2*r = 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 545 divide 35644090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*6\/9 - (-579130847)\/60. Let j = 9647122 - f. Let w = j + 5061. Calculate the common denominator of -1\/6 and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/2*6\/2. Suppose 4 = -m + h. Solve 2 = -5*s - m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2305*d**3 - 2 + 7 - 5.\nAnswer: 2305*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 2*i**2 + i. Let a be b(1). Let t be 5\/(-4 - 1) + a. What is the tens digit of ((-47)\/3)\/(t\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/13))\/o*(o**3*o)\/o)**(-15\/2) assuming o is positive.\nAnswer: o**(-615\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/5)\/l)**41)**(-5\/3)*(l**(1\/3))**(-36)*((l*l**0)\/l)**24 assuming l is positive.\nAnswer: l**(251\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*c**2 - 215*c**2 + 434*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 29*h. Let g be s(1). Let t = -24 + g. Solve t*u - 20 = -0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/7)*n)\/n**(-5\/3))\/(n**(2\/3))**(1\/77) assuming n is positive.\nAnswer: n**(779\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + -1*sqrt(102)*2 + sqrt(102) + sqrt(102) + (sqrt(102)*3 - sqrt(102))*-4)\/((sqrt(384)*2*6 - sqrt(384))*3).\nAnswer: -7*sqrt(17)\/264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36718 and 2?\nAnswer: 36718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**5\/60 + q**3\/6 + 5*q**2. Let d(r) = -r**2 - 1. What is -4*d(v) - 3*m(v)?\nAnswer: v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 3*u**2 + 2*u + 1. Let q be p(2). Let v(m) = 6*m + 1. Let c be v(q). Solve 0 = 3*d - 1 + c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8778997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 - 2 + 2)*(0 + u + 0) + (-2*u - 3*u + 4*u)*(-4 + 0 + 2))*(-2 + 6 - 1)*(-5943 - 64*u + 5943).\nAnswer: 960*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/(-22)*(-3)\/(-6)*1 + 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 393, -6\/5, -2, -2\/9 in increasing order.\nAnswer: -2, -6\/5, -2\/9, 0.5, 393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 377 and 5759?\nAnswer: 167011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 288 + -284. Let h be (9\/i)\/((-13)\/(-2028)). Calculate the highest common factor of 27 and h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 19 = 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 36*q**2 + q + 42. Determine o(-36).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -21, 101, -3\/8, -99.1?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 935803603.\nAnswer: 7, 31, 2003, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -12*s**3 + 2*s**2 + 205*s + 41. Give y(0).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 3 (c) -1 (d) -3.05 (e) -1\/8 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 546406 and 22196.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**2\/11 + 24460*u\/11 - 3050208\/11 = 0?\nAnswer: 126, 12104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -204220?\nAnswer: 204225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 87?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1116 and 36918?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 equal to -2\/74545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*9\/57*(-2470)\/(-130)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 401708 = 1205122\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1681, 1543, 1423, 1327, 1261, 1231?\nAnswer: 1243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 7.640889 microseconds in nanoseconds?\nAnswer: 7640.889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 11, l: 1, a: 1}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1161592 is divided by 36288.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 17495370 to the nearest 10000.\nAnswer: 17500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 6*g**4\/7 + 292*g**3\/7 - 1718*g**2\/7 + 540*g\/7 = 0.\nAnswer: -54, 0, 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27)\/(-3) - ((-4)\/(-1) + 1). Find the first derivative of -c**4 + 81 - 22*c**2 + 15*c**2 + 7*c**2 + 2*c**i wrt c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 5, 3 in ascending order.\nAnswer: -23, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 1 = -7. Is (b\/4)\/(2\/40) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*b**5 - 208*b**4 + 15996*b**3 - 79144*b**2 - 74928*b + 20384 = 0. Calculate b.\nAnswer: -26, -1, 2\/9, 7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(-47 - 23 + 11)*(2*d - 5*d + 2*d - 1) + (0*d + d + d)*(2 + 0 + 0).\nAnswer: 63*d + 59","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 513652 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -3*k + 117, 21*k + 45 = 4321*v - 4324*v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 + 81. Suppose 100 = 5*l - 5*z, 0*z - 62 = -j*l - 2*z. What is the remainder when l is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2946 - -1944. Let o = j + 1007. Let t(a) = a**2 + a - 15. Give t(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -1111110010?\nAnswer: -1111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 - 1613618704326 + 1613618704326.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10236)\/(-1140) + -9)\/((-5)\/25). Let u = -4.19 + 0.19. Put j, u, -1\/8 in decreasing order.\nAnswer: j, -1\/8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -50562, -101119, -151676, -202233, -252790, -303347?\n\"Answer: -50557*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8047*v + 3374 - 210430 = 235529 for v.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**5\/4 + o**4\/12 - o**3\/6 - 6*o. Suppose 6*w + 2*v + 5 = w, -4 = w + v. Calculate x(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 - 34*g + 31 + 21)*(6*g**2 + 37*g**2 - 16*g**2).\nAnswer: -918*g**3 - 27*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, 0, 2, -2\/5 in ascending order.\nAnswer: -109, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (-3 - -4) - 22. Let o = -4 - c. Let i = 37 - o. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3226*i - 9 - 2 - 4 - 3211*i as y*i + s and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*j + 49*j = 0. Suppose j*i - m = 2*i - 43, -m + 115 = 5*i. What is the greatest common divisor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/66 - -16\/33. Suppose 2*u - 486 = 3*o - 1329, -u + 276 = o. Let d = o - 3625\/13. Sort d, 5, n in descending order.\nAnswer: 5, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006703617 rounded to five dps?\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05544279 to 5 dps.\nAnswer: 0.05544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6792 + -9556. Let u = j - -2892.9. Let m = u - 122. What is m rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.358 + 0.142. Sort 1, s, 4, -0.07 in increasing order.\nAnswer: -0.07, s, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -313*n + 41671. Calculate t(136).\nAnswer: -897","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven eighths of a minute?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -18*u**2 - 136*u. Let y(g) = -33*g**2 - 270*g. Let t(s) = 9*q(s) - 5*y(s). Factor t(v).\nAnswer: 3*v*(v + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**4\/4 - 5*h**3\/6 + 11*h**2\/2 + 1606*h - 2. Let j(x) = 4*x**2 + 6*x - 12. Determine 4*j(p) + 5*z(p).\nAnswer: p**2 - p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12562 + -5?\nAnswer: -12567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*r + 1630000 = 57*r. What is r rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 622 divided by 95?\nAnswer: 622\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 62.5033607 and -1.\nAnswer: 61.5033607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/2 of a century?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*b + 853 = 566, 0 = 2*z + b - 128. Solve 47*c + 202 = z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g**2. Let u be a(-1). Let o be (49\/28)\/(1\/u). Let i be o\/((-21)\/12) - 1. Solve -11 = -2*z - i for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*t - 164*t + 3 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2096003)\/651)\/(2\/(-18)*1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 f when three letters picked without replacement from cffffcccfccfcacffyc.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) + 1*sqrt(4)*-2 + sqrt(4))*4)\/((3*sqrt(1694))\/sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89244*i**2 - 41045*i**2 + 5607*i**2.\nAnswer: -124682*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469370740?\nAnswer: 2, 5, 23468537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*o - 247 - 159 = 254 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10440*c - 1923*c - 3857*c to the form s*c + v and give s.\nAnswer: 4660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 1. Let b be q(6). Let n(z) = -z. Let s(d) = -d**3 - 6*d**2 + 4*d - 7. Let x(t) = -n(t) + s(t). Let k be x(b). Solve -8 = -3*m + k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-176)\/(-1596) - (-12)\/(-76).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9683, -4, 101, -0.4, -5\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-3 - 1) + 1 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 - 16\/12*6 - -287. What is the highest common factor of y and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3344*k - 31*k**2 + 2 - 3336*k + 225*k**2 as r*k + n + i*k**2 and give i.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-60)\/(-3)*(-61257)\/(-84)?\nAnswer: 5, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3*b - 12. Let i(d) = -15*d + 14. Let p be i(b). Let z = p + -53. Solve 3*m + 0 + z = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 3*y = -l + 57, -22 = 2*y - 52 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7976.986047 - -7977. What is p rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 1 - (1 + -28 + -8)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 10*b + 10. Let x be l(-8). Let k = 31 + -16. Let h = k + x. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35964478.1 rounded to the nearest ten thousand?\nAnswer: -35960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o. Let y(p) = -83*p**2. Give r(y(t)).\nAnswer: -83*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.6859258 to 2 dps.\nAnswer: 19.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-7\/2)\/z)\/z**(9\/8) assuming z is positive.\nAnswer: z**(-37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2570, 10175, 22856, 40613?\n\"Answer: 2538*y**2 - 9*y + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/40810 and -87\/1484.\nAnswer: 81620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0 = -2. Solve -2 - 4 = -f*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8*j**9)**10*(j\/(j*j*j\/(j\/(j\/(((j*j*j*j*((j*j*j**0)\/j*j*j)\/j*j*j*j*j)\/j)\/j)*j))))**(-2\/29)*((j**(1\/3)\/j*j)\/j)\/(j**(1\/9)\/j) assuming j is positive.\nAnswer: j**(44338\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2386 + -2382. Let h = -0.2 - -0.2. Let r = h + 0.2. Which is the nearest to -2\/9? (a) -1 (b) r (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and -34.74?\nAnswer: -0.6948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 48 + -11 + -61?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**5 - 9*i**5 + 2*i**5 + (3*i**3 - i**3 + i**3)*(8*i**2 + 0*i**2 - 3*i**2) - i**3 + i**3 + 2*i**5.\nAnswer: 9*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/h**(-13))))\/h*h\/(h*h**(-11)) assuming h is positive.\nAnswer: h**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*b = 4*t - t + 230, 2*t - 5*b = -812 + 788 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 13) in base 16?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 58\/8 - 3\/12. Let q(m) = -3*m - 4. Let l(k) = 3*k + 5. Let y(p) = -3*l(p) - 4*q(p). Does 9 divide y(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(650)*1)\/(sqrt(10)\/(sqrt(15)\/sqrt(3))) + ((-1*sqrt(143) + sqrt(143))*-3)\/(2*sqrt(1100) + sqrt(1100)))**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -329 divided by -6\nAnswer: 329\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -19.1. Suppose -5*p - 21 = -4*n, -5*n + 7 = -2*n - 2*p. Which is the second smallest value? (a) n (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 1979 - 1011 - 967. Let r(s) = 21*s**2 + 14. Give r(g) - 14*y(g).\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 31 = 6*h. Solve -2*m - 3*m = -5*b, 2*b = h*m + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3425 - 1?\nAnswer: 3424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 + (-6 - -163) + (-15 - -10)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 3*i**2 - 4*i**2)*(5*i - 2*i - i) - 37*i + 2*i**3 + 37*i + (i**2 + 0*i**2 + i**2)*(4*i - i - 2*i).\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2 + 21724*a + 43456 = 0. Calculate a.\nAnswer: -2, 10864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 5*b - 2*b, 0*j + 69*b = 2*j + 64*b + 114 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*d = 5. Let z be 0\/((d + 1)\/2). Let g be 2 + 3 + (z - 2). Solve 5 = -g*l + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f - 8. Let g be m(-11). Let j = 4.6 - 0.6. What is the third smallest value in g, j, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*z + 37 = 433 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1388867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-3))\/(1\/3). Let h = -8 - -12.6. Let u = 7.6 - h. Sort -0.1, u, t in descending order.\nAnswer: u, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.051 - -23.949. Let h = b - 24.000268. What is h rounded to 5 decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/10 - (-1358)\/5. Let j = -174 + g. Is j\/8 + (-2)\/8 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l - 12. Let m be f(-4). Is 25 a factor of 154\/6 + m\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002200 - -10?\nAnswer: 1002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 4\/3, -139\/12 in ascending order.\nAnswer: -139\/12, 0.6, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -5 (c) 6 (d) -63\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 + a - 5 - 3*a**2 + 4. Suppose 2*l - 29 = -9. Suppose 5*p - 3*b - 12 = -0*p, 0 = 3*p + b - l. Give n(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 17067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.1 + 0.2. Let l = 1.4 + m. Let u = 4 + -9. Which is the second smallest value? (a) u (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-80 - (-13 + 14 - -1 - -13)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 4) to base 7\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (288\/(-144))\/((-13)\/(-65)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 16*q - 511 = 98 + 655 for q.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -12*a**2 + 4. Let b(z) = 13*z**2 - 5. Let x(s) = 3*b(s) + 4*j(s). Let l(o) = -4*o**2. Let w be 29\/(-9) + (-6)\/(-27). Determine w*x(n) + 7*l(n).\nAnswer: -n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**3 + 14*u**2 - 8*u - 20. Let j be t(6). Let x(p) = -8*p + 5. Let a(h) = 10*h - 3. Let f(o) = j*x(o) + 3*a(o). What is f(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5814 divided by 9.\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/99 at least 2\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293922?\nAnswer: 2, 3, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -164*b**4 - 146*b**3 + 146*b**3 - 3*b**4 + 2*b**4 + 3*b**4 + (-3*b + 3*b + b**2)*(12*b**2 + 7*b**2 + 5*b**2) - 4*b**4 - b**4 + 4*b**4.\nAnswer: -139*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 10:16 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 638 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.8649718 + 44800062.1350282. Let f = -44800115.0000071 + c. Let n = f - -49. Round n to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**4 - l**3 - 5*l + 4. Let q(d) = 2900*d**4 - 9*d**3 - 2608*d + 36. Let h(g) = 9*m(g) - q(g). What is the second derivative of h(c) wrt c?\nAnswer: -35016*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 752996958 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: Multiply -0.2 and -0.239.\nAnswer: 0.0478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 42\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 + 18 + 437 = 33*i. Calculate the remainder when -1 - (344\/(-2))\/2 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 2*l - 5*l)*(0*l - l + 6*l + (0 + 1 + 0)*(-3*l - 2*l + 4*l) + 14 + 8*l - 14 + 2*l + 0*l + 0*l).\nAnswer: -56*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 11. Suppose 5*w + 5*o - o - 12 = 0, -4*w + o = q. Suppose -2*m + w*m = 4*u - 28, -14 = m - 5*u. What is the highest common factor of m and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000069247 to seven decimal places.\nAnswer: 0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 174 and 2?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55)\/(-2))\/((1\/(-1))\/((-211)\/(24898\/236)))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o = -432 + 36. Let z(f) = f**3 - 13*f**2 + 8*f + 43. Calculate z(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2. Let r(k) be the third derivative of 14*k**5\/3 + 644*k**2. What is u(r(n))?\nAnswer: -156800*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 274 + -385. Does 27 divide k\/(20\/(-8) + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10625 + 600?\nAnswer: -10025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**6\/18 + m**5\/15 + 3*m**4\/4 - 13*m**3\/9 - 4*m**2\/3 + 4*m - 204. Solve g(w) = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 8:14 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*l = 3*o - 189, -2*o - 572*l - 2 = -1131*l + 557*l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 784 a factor of 202532288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11399 + 39422. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -607.1, -1, -1.1 in increasing order.\nAnswer: -607.1, -1.1, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhsa when four letters picked without replacement from hhnaahshvasvshvsvhr.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, -19, -82, -171, -286, -427?\nAnswer: -594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 41 - 37. Suppose -3*p = 4*d - 35, 4*d + a = -0*d. Calculate the remainder when 36 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -809*n**3*s + n**2 - 34*s + 5 wrt n?\nAnswer: -4854*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**3 - 672*s**2 - 54356*s + 414174. Let r(b) = b**3 - b**2 + 2*b + 1. Let a(w) = -2*r(w) - t(w). Determine f so that a(f) = 0.\nAnswer: -172, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130301211010 (base 4) to base 15.\nAnswer: 9deedd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 444 and 86669472?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 104656, 104666, 104678, 104692?\n\"Answer: k**2 + 7*k + 104648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.6 + 0.6. Let m be (-2 - 2)\/(5*(-9 + 3)\/30). Which is the nearest to -6? (a) -2 (b) g (c) 0.1 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16 and -25.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 106, 211, 316, 421?\n\"Answer: 105*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2576*i = 2766 + 23521 + 81905 for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3653 - 3651. Solve x = -5*j + 9 - 15, -x - 3 = m*j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17156590 divided by 6655\nAnswer: -2578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 3:59 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*x**2 - 8*x**2 - 24*x**2 + (0*x + x + x)*(-3 - 2*x + 3) in the form l + s*x + t*x**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 k when three letters picked without replacement from {h: 1, d: 1, o: 2, l: 4, k: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 71 + 68. Let k be j*48\/(-20) - (-4)\/(-10). Calculate the common denominator of k\/(-36)*255\/(-2) and -51\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -1 - 1\/20*o**5 + 0*o**3 + 0*o**2 + 2*o + 0*o**4. Let n(p) be the first derivative of m(p). Let n(d) = 0. What is d?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 30. Suppose 5*a - 20 = a. Let x(h) = -h**2 + 7*h - 5. Let p be x(a). Solve p*s - c = -3*w, 2*w = -4*s - w + 19 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 >= -234996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4479368771 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 549271?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 253345257727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 11) in base 6?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 + -10?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 11, -1\/2, 10, -0.067?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10882476 by 302291.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 500\/11 or -15999?\nAnswer: 500\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 486818 to the power of 1\/2, to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211 - -144?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-54))\/(44\/6). Let l(i) be the first derivative of -p*i**6 + 0*i**3 + 4\/55*i**5 - 1\/22*i**4 + 1 + 0*i + 0*i**2. Find u, given that l(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or -7532?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147 divided by -31?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1894\/3 - -642. Factor -10\/3*y**4 + 80\/3*y - m + 1\/3*y**5 - 80\/3*y**2 + 40\/3*y**3.\nAnswer: (y - 2)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o + 1. Let i be f(5). Let m be (-1 - 2\/(-1))*i. Is ((-534)\/m)\/(1\/20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3165 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**7\/252 - 7*s**6\/36 - 33*s**5\/10 - 18*s**4 + 48*s**3 - 2*s - 80. Suppose l(g) = 0. Calculate g.\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -752206 by 107458.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -32*b**3 + 3*b**2 + 5*b + 3. Let d = -1900 + 1899. Give h(d).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*(-3)\/(-18) + (-5 - (-676)\/88)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-50))\/(196\/(-1470)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k**2 + 2*k + 1. Let n be o(2). Let s = -19 + n. Suppose -3*c + 2*c + 23 = -u, -4*c - s*u = -68. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, p: 1, y: 4, e: 4}. Give prob of picking 1 p and 1 y.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 53029 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhaf when four letters picked without replacement from {h: 3, a: 1, u: 1, w: 3, f: 1, m: 2}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - a**2 + 2*a)*(-1 - 1 + 0) + (4*a**2 - 3*a**2 + 0*a**2)*(1 - 3 + 3).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5357553536.\nAnswer: 2, 17, 233, 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 85889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 + -13 - 9) + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((160\/(-800))\/(4\/35))\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -497 plus 5.95?\nAnswer: -491.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, x: 2, r: 2, m: 2}. Give prob of sequence rx.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 257 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 426254832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2308748 rounded to 4 decimal places?\nAnswer: 0.2309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-42)*(-255)\/(-68).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1489.\nAnswer: 4\/1489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5500\/(-360) - -14)\/(26\/(-936))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24.01 + -24. Let g = y + -0.01. Sort -0.2, -2\/21, g in ascending order.\nAnswer: -0.2, -2\/21, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 381 = -384. Factor -61*w**2 - 4*w + 34*w - 24*w**i + 30 + 36*w**3 + 57*w - 68*w**2.\nAnswer: 3*(w - 10)*(w - 1)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6670307496 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33834 and 108?\nAnswer: 609012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 7*o**5\/10 - 5*o**3\/2 - 11*o - 8. Let x(n) be the first derivative of y(n). Find the second derivative of x(q) wrt q.\nAnswer: 84*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -11370?\nAnswer: 11368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 608*v**2 + 556*v**2 - 1106*v**2.\nAnswer: 58*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 = 2*n - 14 - 53. Which is the third smallest value? (a) 2\/9 (b) -0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 0 + 6 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57041, 57198, 57485, 57968, 58713, 59786, 61253, 63180?\nAnswer: 65633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 190*l**4 + 171*l wrt l?\nAnswer: 2280*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 3*n**2 + 4*n**2 - 3*n**2 + n**2 + (4*n - 4*n + 2*n)*(0 - n + 0) + 2*n**2 - n**2 + 0*n**2 + 2*n**2 - 2*n + n**2 - 7*n**2.\nAnswer: -6*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(0 + 1) + -8. Let s(r) = -10*r - 13420 - 3*r - 12585 - r**2 + 25996. Calculate s(z).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/4 and 37\/3346?\nAnswer: 6692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2320406 to the nearest integer?\nAnswer: 1523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 312665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j - 5. Let k be r(-8). Let m be 73\/k - 8\/(-12). Calculate the highest common divisor of 25 and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/(-1))\/(3\/(-2)). Let b(j) = j**2 + 14*j + 38. Let v be b(-10). Let a be v + 1 + w + -3. Is a > 12\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -93*z - 37. Let c be i(-5). Suppose n + 75 = c. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-5)\/y)\/(y*(y\/y**(-2\/11)*y)\/y))\/(y**(-2\/5))**(-26))**(36\/7) assuming y is positive.\nAnswer: y**(-5256\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*l - 54 = 0. Let b be l\/(-2)*(10 + -12). What is the common denominator of -27\/10 and 846\/b*2\/8?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 4aa?\nAnswer: 4a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 204563621\/3 = 68187875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(13) + 4)*6 + 4 + sqrt(208).\nAnswer: 23 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = n - 17, 0 = -n - 0*f + f + 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1483998 divided by 2.\nAnswer: 741999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 17 - 2*q**2 + 7 + q + 0 to h*q**2 + r*q + u and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 27155*s - 108593. Give a(-4).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596588 is divided by 22945?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31542\/(-315) - -30 - (-10)\/75.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 2*u + 5*u. Suppose 7*l = 3*l + 8. Let g(j) = -5 - 4*j + l*j + j. What is g(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a8 - -28?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 2*m + 3*m)*(6*m**2 - 34 + 34 + (m + 0 + 0)*(-4 + 4 - 2*m)).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 7. Let d(q) = 2*q + g*q**2 + 6*q**2 - 4*q + q + q**3 + 18. What is the units digit of d(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -47. Let o be d\/(-30) + 2 + 2\/15. Solve 0 = -3*p + o*u, -2*u - 2*u + 6 = -3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(7*1)*(-226128)\/32304*136?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14548 - 28?\nAnswer: 14520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95*y**2 + 97*y - 97*y)*(-2*y + 36 - 22 - 19).\nAnswer: -190*y**3 - 475*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 10*o - 38*o - 1 + 3*o + 5*o - o. Let k(g) = -g**3 - 8*g**2 - 6*g + 8. Let a be k(-7). Determine n(a).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Suppose 4*g + 0*h = -2*h - 192, -q*h = -2*g - 96. Let u = 99 + g. Calculate the remainder when u is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and -1132981 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 7:32 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151493 - -6101507. Round v to the nearest 100000.\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j + 0*j + 4*j)*(0*j - 2*j + j) + 0*j**2 - 2*j**2 + 0*j**2 + (6*j**2 - 2*j**2 - 3*j**2)*(-2 + 2 - 1) - 3 + 3 - 2*j**2 as u*j + t + k*j**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 4*l - 6 + 31 = 0, 5*o = l - 19 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + u + u + 2. Let s be j(-6). Let g(a) = -2*a**3 - 5*a**2 - 2*a - 3. Is g(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/3 and 780573315 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 2. Let t be g(6). Let f = -2145 - -2148. Suppose 2*a + f*o = 59, -3*a + 8*a - t*o = 159. Calculate the remainder when 60 is divided by a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*r**2 - 3*r**4 - 3*r**4 + 11*r**2 wrt r.\nAnswer: -144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4 - 17*t + 66*t + 3 - 48*t. Let f(s) = -3*s - 1. Calculate -f(r) - 2*v(r).\nAnswer: r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1076222, 1076345, 1076468?\n\"Answer: 123*u + 1076099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j**(1\/9)\/j)\/j))\/((j**16*j)\/j)*j*j**(2\/77)\/j*j*j*j**(7\/3))**(-27) assuming j is positive.\nAnswer: j**(18195\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*r**3\/2 - 897*r**2 - 2859*r\/2 - 522.\nAnswer: 3*(r - 87)*(r + 1)*(7*r + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 11*p**3 + 8*p**2 + 125. Let d(z) = -22*z**3 - 14*z**2 - 250. Let g(q) = -4*d(q) - 7*v(q). Differentiate g(i) with respect to i.\nAnswer: 33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 512 minutes after 6:20 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -99 (c) 5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) 6 (c) -718 (d) -6 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (((-82)\/369)\/((-2)\/369))\/((-19)\/(-19))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5 + 4 - 4 + 2*w. Let z be r(4). Let l(o) be the third derivative of -o**5\/30 + o**4\/8 + o**3\/6 - 57*o**2. Give l(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 20 = 0, 3*c + 5*k + 55 = -c + k + 23 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*(-4)\/12 - 1 - -11. Let b = -1 + 1. Suppose 2*p - 6 = -b. What is the highest common factor of p and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 31 = -2*y, -2*l + y + 12 = -5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence me when two letters picked without replacement from mmemmmmm?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 8*c**2 + 205*c - 434. Calculate h(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-288)*30\/1)\/(18\/(-48))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 33 - 124 = 0. Suppose 3*k + 279 = -0*k. Let s = t + k. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1786617, -1786612, -1786607, -1786602, -1786597?\nAnswer: -1786592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 5*j + 5*g, 3*j + g - 34 = 8*j. Let m be 6 - (8 + 3 + j). Suppose m*s = -s + 162. What is the greatest common divisor of 18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 3*r**2 - r - 1. Let p be n(-3). Let x = -743 - -741. Put p, 5, x, 7 in increasing order.\nAnswer: x, p, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 58\/127 in -1\/7, 13, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 7:08 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*b = 122*b + 103*b + 4768 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d - 417*o + 415*o = -48, d - 4*o = -12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15\/(-40))\/((-1)\/8). Suppose -2*t - p*k = -129, -t = 4*k - 51 - 26. List the prime factors of t.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.462 + -8.3. Let x = 15 - 14.82. Let o = x - v. What is o rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -166188.2495 rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 13*o + 2. Let f be u(-12). Let v be f\/(-5) + 1\/(-5). Let r = 0.05224 - 0.55224. Which is the biggest value? (a) 8 (b) v (c) 0 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8575, 17151, 25727, 34303, 42879, 51455?\n\"Answer: 8576*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -110.14917?\nAnswer: 110.24917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 35\/(-25) + 4\/10. Let u be (3 - 2 - 0)\/j. Let n be (-2)\/u*(-5)\/(-2). Which is the biggest value? (a) -0.1 (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, 0.2, -18102, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3419037997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20424 = y + 3*y. Suppose y = l + l + 4*t, -5*l + 2*t = -12777. Suppose w - 6*w = -l. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1732*b + 1702*b + 178230 = 0. Calculate the highest common divisor of 39 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 48300 = 5*u, -16*n + 12*n - 2*u + 38616 = 0. Suppose -9*w - 476 + n = 0. List the prime factors of w.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(320)*1 - -4*(sqrt(320) + sqrt(320) + 1))**2.\nAnswer: 640*sqrt(5) + 32016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4027782?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021021 (base 3) in base 4?\nAnswer: 32131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 993677079 to the power of 1\/2, to the nearest integer?\nAnswer: 31523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + 0)*3\/(-5). Let g be 4380004\/6 + 2\/s. What is g rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -4, 1, 194, -17 in increasing order.\nAnswer: -17, -5, -4, -3, 1, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - d - 8. Let b be 50\/(-8) - (-6)\/24. Let q be l(b). Let z = -17 - q. What is the remainder when z is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28893 or 202245\/7?\nAnswer: 202245\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/(2\/4) + 0 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9573266 is divided by 509?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4363946 is divided by 90?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*z**3 + 190*z**3 - 97*z**3 + 26*z - 17*z - 9*z.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5715*h + 2182*h + 197848 = 0 for h.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21450 and 4200.\nAnswer: 600600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjyyjyjjjy. What is prob of picking 2 y and 1 j?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -121.64 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x - 3 - 6 - x. Let m be d(6). Suppose u = -w + m, -5*w + 0*u + 17 = 3*u. Are w and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8097 - 7122.3. Let k = 975 - n. What is the second smallest value in -0.06, -1\/35, k?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-16)\/(-54))\/((-22848)\/2448).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 3*g**2 + 6*g - 5. Suppose -8 = -5*m + 4*w + 15, 4*m = 3*w + 18. Calculate the remainder when 50 is divided by u(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.32 and -1.24817?\nAnswer: 0.3994144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 12*v**2 + 15. Let r(x) = x**2 + 1. Determine b(q) - 9*r(q).\nAnswer: 3*q**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -13. Let z = 2 + k. Put 3, -1, z in ascending order.\nAnswer: z, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**4 + 6 - 6 + (0*h**2 - h**2 + 0*h**2)*(23*h - 5*h**2 - 23*h) to the form f*h**2 + v + q*h**4 + s*h + c*h**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2105670 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f**3 + 6*f**2 + 6*f - 26. Let a(b) = 7*b**3 - 7*b**2 - 7*b + 24. Give 4*a(s) + 5*q(s).\nAnswer: -2*s**3 + 2*s**2 + 2*s - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 18. Suppose -g*c = -c. Solve c = -d - 4*q - 7 - 5, q - 8 = -3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -4*a**5 + 6*a**2 - 412*a - 33. Differentiate k(n) with respect to n.\nAnswer: -80*n**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 9*n - 1. Let c be l(-4). Let q = -21 - c. Solve h + 12 = -2*v, -h - q = -3*h + 4*v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07305773 rounded to three dps?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*z + 2*l + 8, -2*z - l = 7. Let f = 8 - 6.8. Let j = f - -2.8. Which is the nearest to 0? (a) j (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1050*t - 489*t + 594 = 507*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25013.9556 seconds in days?\nAnswer: 0.289513375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 286, 519, 782, 1087, 1446?\nAnswer: 1871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88742 is divided by 740.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2713)\/(-7) + (-72)\/126?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -31 and -40.4.\nAnswer: -71.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 86*k + 2599. Determine j(-35).\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 676936 and 78108?\nAnswer: 2030808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2185 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 44 + 8*j**2 + 39 + 39 - 204 + 45.\nAnswer: 8*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 185\/5843 - 5433635\/911508. Let f = 32\/39 - o. Calculate the common denominator of 107\/22 and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-42)\/(-9)*6. Suppose -f - z = -5*x, 4*x - 35 = -x + 2*f. Suppose x*g = 23 + 52. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzuuyuruzyzuury. What is prob of sequence yzuz?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70*a**4 + 45835*a**2 + 8899241.\nAnswer: -280*a**3 + 91670*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d - 6. Let i(p) = -p**2 - 5*p - 3. Let f be i(-3). Suppose -n = -f + 10. Let g be z(n). Solve -w - g = -4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117150 divided by 275.\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f. Let u(x) = -2*x**2 - 7*x + 1. Let z(o) = -5*c(o) + u(o). Determine z(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5142 divided by -1714?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 + 330*y - 27225.\nAnswer: -(y - 165)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*((-7)\/2 + 1). Suppose 0 = -x + 17 - 12. Solve t*d - 32 = -p - 11, -x*d - 3*p = -13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-11100)\/(-175) + 13)\/(2\/(-10)). Which is smaller: -383 or x?\nAnswer: -383","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -92*i + 30. Let p be s(2). What is the remainder when p\/(-1) - (-8 - -5) is divided by (-1 + -23)*10\/(-6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 122 or 2\/7?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -21 and -7.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 30 = 0, 6*z + 4*m - 33 = 3*z. What is the remainder when 318 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*z - 3*z = 9, -3*m = -5*z - 23. Suppose -k + 6 = m. Suppose 0 = -5*c + c + 3*g + 86, k = g + 2. What is the highest common factor of 8 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 27 = -4*t, 64*t - 59*t - 5*k = -30 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 749195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/84 and -131\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -631 times -0.246\nAnswer: 155.226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**5\/50 - 14*h**4\/15 + 11*h**3 + 90*h**2 + 210*h. Factor m(t).\nAnswer: 2*(t - 15)**2*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22.9 + 22. Let t = c + -1.1. What is the nearest to -0.2 in -1\/5, 2\/23, t?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 8:26 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/9 + (18276\/2484 - 7)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -3*l**8\/112 - l**4\/6 - l**3\/3 - 2*l**2 + 27. What is the second derivative of r(i) wrt i?\nAnswer: -180*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 2\/360391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*sqrt(7)*1.\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20439, 81758, 183957, 327036, 510995, 735834?\nAnswer: 1001553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15204 = -1261*d - 1287 + 13825 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -91252754459452.\nAnswer: 91252754459449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1268, 1, -2, 3 in ascending order.\nAnswer: -1268, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 170103452953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29, 106, 233, 410, 637, 914?\n\"Answer: 25*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -976 = 32*b - 880 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.0000003 + 5. Round f to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 1:03 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*a - 249*a + 46*a + 82*a.\nAnswer: -87*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + (0 - (-1 - 13 - -8 - 2)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -191, 92, 367, 634, 893?\n\"Answer: -4*i**2 + 295*i - 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*x = -136*x - 8. Suppose 0*y + 3*y - 4*r - 119 = 0, x*y + r = 184. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001285236 to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.46 - 1.56. Suppose -3*o = -5*o - 6. Which is the third smallest value? (a) j (b) o (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 40*r**2 + 36*r - 541. Calculate v(41).\nAnswer: -746","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22143\/6140 + 48\/307. Calculate the common denominator of q and -55\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + (-2*sqrt(133) - sqrt(133) - sqrt(133))*-5)\/((sqrt(21)*3)\/sqrt(3) - sqrt(7)).\nAnswer: 21*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1182.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivvv when four letters picked without replacement from ivviiivviiiiivvv?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 124*u**2 + 904*u + 1521. Give a(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**5\/70 - h**4\/42 - 2*h**3\/21 + 11*h. What is i in b(i) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wss when three letters picked without replacement from {q: 5, s: 4, w: 8}?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -29439, -117793, -265033, -471147, -736123, -1059949, -1442613?\n\"Answer: 2*j**3 - 29455*j**2 - 3*j + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i = -5*i - 5447. List the prime factors of i.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**5\/10 - f**4\/6 + f**3\/6 + 30*f**2 - 67*f. What is the smallest common multiple of q(0) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 869*r**2 - 93005*r - 3729. Calculate h(-744).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -514*t - 416. What is the thousands digit of a(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 553*z - 4 + 864*z - 137*z + 2.\nAnswer: 1280*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-189)\/(-18)*(-4)\/(-3). Suppose 6*j = -b*j + 10840. List the prime factors of j.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.028 + -0.958. What is the third smallest value in y, 1\/30, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**4*y - 1042*a*y + 701*y - 2 with respect to a.\nAnswer: -8*a**3*y - 1042*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/682 and (201\/(-75))\/(-17 - (-1355)\/25)?\nAnswer: 10230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161532 (base 7) in base 11?\nAnswer: -21a01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 396 - 394. Solve -22*i + 24*i = -m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2069 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**2 - 58*d - 16. Let h = 302 - 321. Let i be l(h). Sort -5, 16, i, -3 in decreasing order.\nAnswer: 16, i, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -17. Let y be 2 - (-6 + x - -7). Put y, 1, -3 in ascending order.\nAnswer: -3, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.775 to one dp.\nAnswer: -8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/2794 and -97\/508.\nAnswer: 5588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y**2 + 44*y - 494. Give g(-11).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 2)*(a - 2*a + 2*a) - 337*a - 13 + 13 - a.\nAnswer: -340*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*v + z, 2*v - 113*z = -118*z - 17 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/26 and 89\/272.\nAnswer: 3536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -6, -8*g - 5*k + 15 = -3*g. Let o be g + 1 + 2 - 1. Let p(f) = f**2 - 3*f. Determine p(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**3 + 2*q**2 - 134*q - 329. Give z(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + (sqrt(171) + -3)*3 + 4 + -4))**2.\nAnswer: -648*sqrt(19) + 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -18, 2\/7, 2\/15, 0.2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 - 509 - 453 - 2*g**3 + 0*g**3 + 4*g**3.\nAnswer: 3*g**3 - 962","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 7. Let r be 3 + (2 - u)*0. Suppose b - r*b + 6 = 0. Solve -4*f = 2*l - 6, 2*f - b*l = -l - 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 p when four letters picked without replacement from ffpppnnnffpnfnnpffnn.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 479, 480, 475, 458, 423?\n\"Answer: -p**3 + 3*p**2 - p + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*v - 26 = 0, -5*q + 37*v - 35*v + 18 = 0. Solve -2*n + 5*n + q*s + 1 = 0, -3*n + s + 5 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, h: 7}. What is prob of sequence rhrh?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x**2 - 5*x + 4. Let m(o) = 2*o**2 + 6*o - 5. Calculate -3*m(d) - 4*r(d).\nAnswer: 6*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -4. Let n = 0.02 - 6.02. Let l = -157.4 - -157. Which is the nearest to r? (a) 1\/4 (b) n (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7220789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8805788*w**5 - 2*w**4 + 14221*w**2 + 865 wrt w.\nAnswer: 528347280*w**2 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -22. Suppose -21*p - 24 = -45. Let g be (p + 0)*-12899 - (l + -8). What is g rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 58*w - 3. Suppose 4*k = 5*k - 2. Is a(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23.6 - -25.2. Is m at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -288*b**4 - 6308*b**3 - 34232*b**2 + 3388*b = 0. Calculate b.\nAnswer: -11, 0, 7\/72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20040546 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 8:32 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/7056 and 23\/10471104.\nAnswer: 10471104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-9))\/1*(-9 - (-126)\/12). Which is greater: 16\/455 or s?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 4*t + t**4)*(-2*t - 1 + 1) + 10 - 10 + 68*t**5 + (t**4 - 3*t**4 + 3*t**4)*(3 + 2*t - 3) + 2*t**5 - 5*t**5 + 4*t**5 + t**5 - 4*t**5 + 4*t**5.\nAnswer: 70*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 268 - 4232 = 0. What is the greatest common factor of v and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26738, -53406, -80038, -106628, -133170, -159658?\nAnswer: -186086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5.424986 nanoseconds?\nAnswer: 0.000005424986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1792322*w**6 - w**2 - 3868*w + 202?\nAnswer: 215078640*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104134340 (base 5) to base 11.\nAnswer: -293709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 - r + 15*r - 10*r - 8*r + 6*r.\nAnswer: 2*r + 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 + 789*q**2 + 17778*q + 32376.\nAnswer: -3*(q - 284)*(q + 2)*(q + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 - (11 + -7 - -1). What is the first derivative of -1303*h + 14*h**t - 6*h**3 - 106 - 1301*h + 2607*h wrt h?\nAnswer: 24*h**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s - 44*s - 56 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 1379.\nAnswer: -6895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + v**2 + 5*v + 827. Is i(0) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 64.62 and -0.1?\nAnswer: -6.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**4\/24 - 61*d**2 - 2*d - 20. Let h(u) be the third derivative of u**4\/12 + 29*u**3\/6 + u**2. What is h(w(y))?\nAnswer: -2*y + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 87 = 2*k, 4*k + 3*n = 4*n + 219. What is the greatest common divisor of 28 and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4) + (-105)\/(-252))\/(26\/78)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*s**2 + 10*s**2 + 2 + 33*s**3 - 8*s**2 - 59*s**3 + 28*s**3 + 3*s in the form h + c*s + x*s**2 + z*s**3 and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 1:26 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89917, -179833, -269749, -359665, -449581?\nAnswer: -539497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 - (0\/3 + 5). Solve 0 = 5*b + l - s, 4*l - 2 = 3*b - 17 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-two fifths of a hour?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 10. Is 43 + ((-3)\/3)\/k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32746220*j**3*y**2 + j**2*y**2 + 2*j**2*y + 7*j*y + 7912*y**2 wrt j?\nAnswer: -196477320*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*r**3 - 2754523*r**2 - 18529320*r?\nAnswer: 24*r - 5509046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 153 and 205?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.93 - -0.07. Which is the second smallest value? (a) 3\/7 (b) j (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 690 divided by -1\nAnswer: -690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2625, -2640, -2655, -2670, -2685?\nAnswer: -2700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(2*k + 2*k - 2*k) + 2*k + 2 - 2 + 3*k + k - 5*k + (-3*k - 2*k + 2*k)*(4 - 2 - 3).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z - 16. Let g be x(21). Suppose g*f = -0*f + 3995. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v = 237 - 117 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -119*h**2 + 2 - 2 + 30*h**2 as c*h + z + q*h**2 and give q.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6701720 divided by -5\nAnswer: 1340344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**(-2\/9)*s))**(-2\/33)\/(s**(-1\/4)*s)**38 assuming s is positive.\nAnswer: s**(-1543\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 11809 - 475*c**4 - 11809 + (-2*c**3 - 5*c**2 + 5*c**2)*(-11*c - 6*c + 21*c) as n + z*c**3 + v*c**4 + w*c**2 + p*c and give v.\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21*72\/65772)\/(-2 + 0 - 14\/(-6)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 86, 132, 216, 350, 546?\nAnswer: 816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 80*p**2 + 908*p - 183. Calculate x(90).\nAnswer: 537","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -81032 divided by -28?\nAnswer: 2894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 647.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**2 - 743480*a - 3717300 = 0. Calculate a.\nAnswer: -185865, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342 + 254 = -9*z - 196 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232578 is divided by 60?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 115115 divided by 455\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 53080 and 17529670?\nAnswer: 70118680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39.4 + -28.4. Let v = j + -11.5. What is the third biggest value in 43, v, 2\/13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g. Let t(d) = -21*d**2. What is v(t(l))?\nAnswer: 105*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -243, -881, -1949, -3447, -5375, -7733, -10521?\nAnswer: -13739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113b1 (base 14) to base 8.\nAnswer: -121657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.58 + -1.58. Let p = 569\/10 - 57. Which is the nearest to 2\/3? (a) j (b) p (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-281)\/281)\/(((-3)\/(-33))\/1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 19444.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8415 and 416559.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*i = 5, -5*s + 2*s + 4*i - 17 = 0. Let v(z) be the second derivative of -11*z**3\/6 - 7*z**2\/2 - 247*z. What is the tens digit of v(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*a - 7*a - 19*a)*(-2*a**2 - 3 + 3).\nAnswer: 34*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2256060132.\nAnswer: 2, 3, 7481, 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 547716623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26.1 - 26.100124. Round o to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 22*t + 81. What is u(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28907?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 6:54 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -9*n + 11. Calculate the remainder when m(-5) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7718253 + 10?\nAnswer: -7718243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - a**4 + 1 + (-2 - 1 + 1)*(0*a**4 - 6*a**4 + 2*a**4).\nAnswer: 7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 47, 39, 31?\n\"Answer: -8*v + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/3)\/((-3)\/117). Suppose -20*o = -5*o - 30. What is the first derivative of u - 14*l**4 - 2 + o*l**4 wrt l?\nAnswer: -48*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -9865102926?\nAnswer: 9865102925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + l**2 + 6*l - 1. Let a(c) = -469*c**3 - 12*c**2 - 30*c + 5. Calculate -a(u) - 5*q(u).\nAnswer: 464*u**3 + 7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-3)\/(-6)*-3. Suppose w*s - 2*s + 1 = 0. Let p = -8 - -38\/5. Which is the nearest to s? (a) -3 (b) p (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1428 and 420.\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l + 7. Let s(y) = -756*y + 1030. Let w(b) = 3*j(b) + s(b). What is the derivative of w(c) wrt c?\nAnswer: -750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 303160*m**4 - 329781.\nAnswer: 1212640*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 3*n + 2*n)*(-2*n - 6*n + n)*(-n + 0 + 0).\nAnswer: 14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28434098 and 952.\nAnswer: 113736392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4 - 37 = 0. Suppose k - 27 = 4*z. Let a(f) = f**2 + 2*f - 2. Let w(t) = -5*t**2 - 9*t + 9. Calculate z*w(o) - 18*a(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 886112 + 22?\nAnswer: 886134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*g + 209*g - 104*g + 215*g.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -4*g**7\/105 - g**6\/25 + 9*g**5\/50 - g**4\/15 - 137*g + 2. Solve k(w) = 0.\nAnswer: -2, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-21))\/(((-144)\/(-1056))\/(21\/4))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5691089 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/154 and 47\/2442.\nAnswer: 17094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - (3 - 2) - (395 + -398)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1000022012112220 (base 3) to base 14\nAnswer: -1cda0a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 6*w - 6*w + w)*(3 + 2 - 6 + (-4 + 1 + 1)*(6 - 2 - 2) + 2 + 1 - 1).\nAnswer: -3*w + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2785.\nAnswer: 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, e: 2, t: 2, o: 1}. What is prob of picking 1 l and 1 t?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 6*c**2 + 4*c - 11. What is the remainder when 48 is divided by h(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001 <= 6001\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nns when three letters picked without replacement from sssnn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*k - 4 = 0, -j - 2*k - 10 = -4*j. Let b = 185 + -1297\/7. What is the closest to j in b, 0.5, 1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -1.1. Let g = 75.1 - 75. Which is the third smallest value? (a) r (b) g (c) 2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 108.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/146 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+3523115\nAnswer: 3523115.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 + -20)\/((-28)\/322).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24085306 a multiple of 1112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1782.816 hours in seconds?\nAnswer: 6418137.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 1. Let f(l) = -l**3 - 15*l**2 + 16*l + 4. Let d be f(-16). Suppose 0 = d*t - j*t - 28. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**5\/7 - 16*n**4\/7 - 15*n**3\/7 = 0 for n.\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**6\/180 - n**5\/20 - n**4\/4 + 4*n**2. Let o(u) be the second derivative of g(u). Calculate o(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2832402, 2832429, 2832476, 2832543, 2832630, 2832737, 2832864?\nAnswer: 2833011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 1:35 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 6:54 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1503.44 * -0.048\nAnswer: 72.16512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 510*v**2 - 30*v + 36. Is 77 a factor of j(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -7*h + 4*h. Suppose h*x = 6*x - 3. Let z(f) = 4*f**2 + 1. Let m be z(-1). Solve u - 34 = 4*b - 15, -x*u = b - m for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*q + 67. Let j be (3 + -1)*3\/2. Solve -h - h + j*w = q, -w = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320141 a multiple of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 2*s + 22 - 15 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 11 + 26. What are the prime factors of u*(152\/(-12) - -3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -65320, -130647, -195974, -261301, -326628?\n\"Answer: -65327*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 181\/7980 + -54\/133. Let r = 27\/7 + -533\/140. Let p = r + n. Are p and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 68*g + 4*g**4 + 61*g**2 - 119*g + 15*g - 34*g**3 - 2*g**3 + 7 = 0.\nAnswer: 1\/2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2479 and 871.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -954 = -60*o + 18*o - 450 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -19, -75, -153, -247, -351?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1155 and 5082?\nAnswer: 25410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 276 (b) -0.4 (c) -2\/7 (d) 0 (e) -1\/2 (f) -0.034 (g) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.6 + 11.59999858. Round b to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzp when four letters picked without replacement from {v: 3, z: 4, a: 2, p: 8, o: 2}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 1)*((-1 + 2 - 3)*(3*p**2 - p + p) + (-120*p + 146*p - 2206*p)*(0*p + p - 4*p)) to the form d*p**2 + z*p + y and give d.\nAnswer: -6534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37408 - -37548. What is the greatest common divisor of 5530 and s?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.065 - -26.065. Let f = -48 + x. Let a = f - -21.9999949. What is a rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3827 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012622 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 56769.17mg?\nAnswer: 56.76917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7047 + 7105. What is the third smallest value in -2, -47, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 6, 2*z - 80 = -3*r + 283. Let b be 12\/20 + (r\/10 - 2). Find d, given that 9\/2*d**5 + 6*d - 6*d**4 + 0 + 6*d**2 - b*d**3 = 0.\nAnswer: -1, -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 15?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 756, 763, 774, 789?\nAnswer: 808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-w**3 + w**3 + 2*w**3)*(20*w - 16*w - 30*w).\nAnswer: -104*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18.788 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j**4 + 5*j**4 + 0*j**4 + (-3*j**3 + j**3 - 4*j**3)*(-18*j + 9*j + 10*j) as w + u*j + z*j**4 + p*j**2 + l*j**3 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 1413636.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15738 = -28*u + 24*u + 2*c, 3938 = u + 3*c. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 0*x**2 + x**4 + 8\/3*x**3 + 0*x - 7. Factor j(u).\nAnswer: 4*u**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - u - 3*u)*(-u**2 + 2*u**2 - 2*u**2) + 17 + 26*u**3 - 17.\nAnswer: 30*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.59 - -20.22. Let j = k - 16.66946. What is j rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -164*h**2. Let a(q) = -2*q**2. What is y(a(i))?\nAnswer: -656*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-10)\/24)\/(4\/(-12))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001821691845 to 4 decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5446867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + -39. What are the prime factors of q\/2*((-2)\/2 + 15)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7187*t = 6414*t + 34785 for t.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 341 + 415 - 27 + 7*f + 327 to the form h*f + y and give y.\nAnswer: 1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 485861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2 = -6. What is the smallest common multiple of q and (54\/24)\/((-2)\/(-8))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -467, -944, -1421, -1898, -2375?\n\"Answer: -477*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294719?\nAnswer: 199, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 17*x + 56 = 0. Solve -x = 5*u + 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1393825 divided by -4?\nAnswer: -1393825\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2296? (a) -2 (b) 4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 113, 835, 1557?\n\"Answer: 722*q - 609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -34, -287, -1008, -2431, -4790, -8319, -13252?\n\"Answer: -39*a**3 + 20*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*a - 98 = 312*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 - 3*a + 32. Let i(r) = 5*r**2 - 7*r + 65. Determine -7*c(g) + 3*i(g).\nAnswer: g**2 - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2296009 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/6 + 1\/2. Let f(n) = 5*n + 1. List the prime factors of f(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134325 and 6766.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -11*i - 1. Let c(s) = s**2. Calculate c(t(q)).\nAnswer: 121*q**2 + 22*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 136*m**2 + 437*m - 2787. Give s(139).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 32 = 4*n, -3*y = y + 2*n - 22. Suppose g + 3*r = 36, -2*g - 3*r + 2 + 64 = 0. Suppose -y*m + 166 - g = 0. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1240*p - 1471 + 4356 + 14475 = 0 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 17. Let h be (2 - 22)*f\/(-4). Calculate the greatest common divisor of h and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9336 + 9335.7. What is the biggest value in 0.01, 2\/9, 2, x, -50?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4623\/63646 or 1?\nAnswer: -4623\/63646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 126899 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-11*(-2)\/11)\/(-2 - 32\/(-14)) and 1944?\nAnswer: 13608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*h*v**3 + 222*h + 16*v**3 - 3*v**2 wrt v.\nAnswer: 36*h + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 - 8*h**2 + 0*h**2 - 10*h**2.\nAnswer: -17*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.603519225 to four dps.\nAnswer: 1.6035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45017 is divided by 43406?\nAnswer: 1611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 480*i + 4854. Determine q(10).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 123751 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -1068 - 2943. Let j = v - 573. What is the third biggest value in j, 0.4, -15, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 64782*d**2 - 129561*d + 64780.\nAnswer: -(d - 64780)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 14, j: 1}?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2834 + 0.2834. Let t = 0.06 + 3.94. What is the biggest value in q, t, 2\/31?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47.9 + -44. Let b(h) = -3*h + 6. Let k be b(-2). Let n be 3*(10\/k - 1). Which is smaller: m or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s - 6. Let i be q(-5). Let x be ((i - 0) + 7)\/5. Let r = 15 + -14. Is x less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((-28 - (31 + -5)) + 17).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (q**2 - 6*q + 6*q)*(-452 + 452 - 4*q) as i*q**3 + s*q**2 + z*q + l and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 163 + -65. Let f be 18\/21 - (-203)\/49. Suppose 4*z + 2*v - 36 = 0, f*z - 6 = 3*z - 4*v. Calculate the remainder when k is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1\/10, -46\/21, 57 in decreasing order.\nAnswer: 57, 0.5, -1\/10, -46\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 9*g**2 - 10*g + 21. Calculate r(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.06, -0.4, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8854*c**5*l - c**3*l + c*l - 4160*c - l wrt c?\nAnswer: 177080*c**3*l - 6*c*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 157\/1155 + -1\/385. Suppose 0 = 6*l + 17 - 5. What is the biggest value in b, 0.3, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/4)\/(((-24)\/44)\/(-3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) 94 (c) 1437 (d) -1\/108\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 653?\nAnswer: 2\/653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 5*u**2 + 2*u - 4. Let o be b(5). Let m be 11 - o*(-2)\/4. What is q in -4 + 2*q**3 + 2*q - 4*q**4 + m*q**2 - 15*q**2 + 13*q**2 = 0?\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/19 - 6\/95. Which is the nearest to -2\/7? (a) l (b) -1\/3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*4\/(-16)*(-23 - -3). What is the tens digit of ((-120)\/75)\/((-2)\/s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 10*u**2 - 20*u + 18. Calculate m(12).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2379*k + 21889. Give m(-9).\nAnswer: 478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x + 3*x - 7*x - 3*x + 4*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-171)\/19*4\/(-18). Solve 100*m**4 + m**3 + 96*m**4 - m + m**x - 197*m**4 = 0 for m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 29*g + 188. Let y be j(35). Let p = -334 + y. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-15) - (-992)\/(-240). Let t be 4\/q - (3 + -4) - -320. What is the greatest common factor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -5. Let v = -5 - g. Let t = 804.4 + -807.4. Which is the third biggest value? (a) t (b) v (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.22 (b) 1.231 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-9)*v\/v**(-8)*v)\/(v**(-8)\/(v*v**8)))\/((v*v**(2\/3)\/v*v)**(2\/71))**40 assuming v is positive.\nAnswer: v**(3434\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/168 and 23\/27?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 200\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -64*l + 66*l + 20, -3*l - 2*b - 38 = 0 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-3))**(2\/93) assuming n is positive.\nAnswer: n**(-2\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from jmmjmmjmmmmm?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 92\/805*-15*70\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (320*f + 589*f - 38*f)*(3 + 4 - 5).\nAnswer: 1742*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.4.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.9 at most as big as -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -334 or -335?\nAnswer: -334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -53, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (243\/(-54))\/(3\/(-4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 299 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -258173*i**3 - 103*i**2 - 40*i - 2 wrt i.\nAnswer: -1549038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 + (4 - 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 1:59 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-22)\/22*16?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-16)*4 + 1\/(-3). Find g, given that 1\/6 + r*g**4 - 7\/6*g - 13\/6*g**3 + 5\/2*g**2 = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -127.7 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 56882737669 and 5?\nAnswer: 56882737664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6621 is divided by 288?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 2:31 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 3*k + 39 = 14, 36 = -4*k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2407 + -1926. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q**2 - q + 1. Let u(j) = j**2 - j. Calculate -s(c) - 3*u(c).\nAnswer: 2*c**2 + 4*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*q**3 - 8*q**3 - q**3 + 5*q**3)*(5 + 2 - 3) to y + d*q + k*q**2 + t*q**3 and give t.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 104211881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 36971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -376*r + 14121. Give l(38).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 5*a - 6*a. Let i = a + 43. Solve 17 - i = 5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.55 + -2.45. Let l = 131 - 130.927. Is l bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7288803ml?\nAnswer: 0.0007288803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.022 and -8642.6.\nAnswer: 190.1372","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 102 + -97. What is the closest to 2 in l, 4, -9\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1171453398 is divided by 325?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 2. Let g be (-1 - a)\/((-39)\/26). Is -3 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13608 - 19692 = -300*a. What is the remainder when 9211 is divided by a?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 416 - 270. What are the prime factors of o?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4412.6389 + 4413. Round d to 2 dps.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*(-48)\/64*(14\/(-30))\/(18\/(-60)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132791 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3865 - 3793 = -17*a, -2*k + 4*a + 12 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 4. Let m be q(-4). Suppose p = 5*p - m. Suppose -8*h + 47 = -4*h - 5*z, 62 = p*h - 3*z. Solve 5*r = 3*f - 2 + h, r + 7 = -4*f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -74*s**2 + 72*s + 11. Calculate j(-2).\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1274458, 1274459, 1274460, 1274461, 1274462?\n\"Answer: n + 1274457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3305, -5191, -7077, -8963, -10849?\n\"Answer: -1886*s - 1419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 23 + 69*p)*(-p - 4*p - 2*p**2 + 0*p**3 - p**3).\nAnswer: -69*p**4 - 138*p**3 - 345*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 40747109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 82\/4)*-6. Let g = p + -119. Calculate the least common multiple of 12 and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*z - 1191 + 1055 = 0. Let v be -2 - 0 - 0\/1. Let n = -1 - v. Solve z + n = -5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 7*a**2 - 3. Let p be o(-7). Let j = -1 - p. Let g = 1\/8 + 3\/8. What is the closest to -0.1 in 2\/7, j, g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009697529 to four decimal places.\nAnswer: 0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8102411 and 2.\nAnswer: 8102413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36050*a + 108234*a - 36140*a - 36048*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, -2, 3172, 3 in decreasing order.\nAnswer: 3172, 7, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 times -108\nAnswer: -864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306070 is divided by 104?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*m. Let l = 3 - m. Suppose l*w + 2*f - 5*f = -12, 0 = 5*w + 2*f + 6. Let s(j) = j - 1. Determine s(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 34 = c. Let x = 62 + c. Factor -x*i + 2*i**2 + 2*i**3 + 23*i.\nAnswer: 2*i**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31032 (base 5) in base 2?\nAnswer: -11111100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a second?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -340?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 404 - 35103253?\nAnswer: -35102445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -738 minus 18.9752?\nAnswer: -756.9752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/4 at most as big as 18\/8149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*((-4)\/2 + 2\/(-1)*130\/130)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36951177.04 to the nearest 1000000.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1156 divided by 578?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 382 - -107. Let c = 490 - i. What is the fourth smallest value in c, 90, 2, -2\/11?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -13*h. Suppose 0*p = 5*t + 3*p - 93, -2*t + 50 = -2*p. Suppose -6*j + 3*j + t = 0. What is the remainder when z(-1) is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*z**3 - 292*z**2 - 232*z + 76.\nAnswer: 4*(z - 19)*(z + 1)*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3 + sqrt(76))**2.\nAnswer: 12*sqrt(19) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 41*l**2 + 268*l - 127. Let m be i(33). Solve -5*v + 5 = m*p, 5*p - 5*v - 27 = -2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 10*c - 5. Let l = -18 - -34. Let r = 23 - l. Is 16 a factor of x(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*s - 408 = -91 + 223 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 21*c**3 + 11*c**2 + c - 11. Let q(x) = -4*x**3 + 2*x - 2*x**2 + 2 + 7*x - 9*x. Suppose 3*j - 4*w = -37, 4*j + 2*w = -w - 41. Give j*q(d) - 2*s(d).\nAnswer: 2*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -5. Let s(c) = c. Calculate the least common multiple of s(m) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (12 - -5) - -12.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 - -60. Let d = 60 - v. Let t = d - 54.00000067. What is t rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 53*g + 151. Let x(l) = -59*l - 160. Let p be x(-3). What are the prime factors of t(p)?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.4 + 3.9. Let w = 37 - 29.5. Let d = w + -7. Which is the closest to -0.1? (a) 0.2 (b) t (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 16, j: 2}. What is prob of sequence jw?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 220661450 to the nearest one million.\nAnswer: 221000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 24 = -4*f, 10 = p + 5*f - 19. Suppose 20 = p*v - 20. Let r = -21 + 29. Calculate the smallest common multiple of r and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12117410 + 4?\nAnswer: 12117414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -3*y + 2*k - 4, 2*k = 4*y - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3810049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*a - 33*a + 13800. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 2\/5, -0.5, -1799123 in decreasing order.\nAnswer: 3\/7, 2\/5, -0.5, -1799123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2*w - 6, 2*w - 2*x + 6 = 5*w. Suppose w = -y - y. Suppose 3*a - 2*u = 50, 3*a - 38 = -u - y*u. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1828231469?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -10*w - 5. Let s(x) = -x - 1. Let c(k) = -d(k) + 5*s(k). Let o be c(2). Suppose 2*h + o = 28. What is the remainder when 17 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*s - 25 = -206*s. Solve 0 = g - k - s, -2*g - 3*k = -0*g - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**4\/6 - 17*b**3\/6 - b**2\/2 - 11*b. Let n be v(9). Solve -4*y = -n*y + 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1671, -20, -2\/15, 0.056, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12181 + 12186. Solve 9*r - c*h + 8 = 8*r, 3*r - 15 = 2*h for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 6*u - 1456. Suppose -2*q + 4*v - 22 = 0, 561*v - 562*v = -4*q + 40. What is the highest common divisor of u and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**4 - 9*z**4 + 11*z**4)*(-2*z + 2*z - z).\nAnswer: -5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1 (b) -37 (c) -30 (d) 1\/2 (e) 664\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 171, 379, 955, 2067, 3883, 6571, 10299, 15235?\n\"Answer: 28*u**3 + 16*u**2 - 36*u + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -b - 9, 2*b + 71 = -3*b + 2*q. Let n be -5*(-2 + (-24)\/b). Find the second derivative of -n*r + 7*r - 3*r + 2*r**4 wrt r.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -892018 or 0.073?\nAnswer: -892018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.63 rounded to zero dps?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/4*64\/(-56).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68*w**3 + 68*w**3 - 370*w**5 + 213*w + 25*w wrt w?\nAnswer: -7400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-8) + 95\/38. Do 2\/11 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000020837 to 6 dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4742970 and -0.2?\nAnswer: 948594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1494780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 354244, 708244, 1062244, 1416244, 1770244, 2124244?\nAnswer: 2478244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*b + 162228 = -58*b. Suppose 2*v = 5*r - b - 10782, 14589 = 3*r + 3*v. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179373169 to the power of 1\/2, to the nearest integer?\nAnswer: 13393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = 5*c - 34 - 41 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47 - 45) + 4 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -15.3 and 47330900.21.\nAnswer: 47330884.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4250001 + -5?\nAnswer: -4250006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**3\/25 + 1118*p**2\/25 + 247632*p\/25 - 31162824\/5 = 0?\nAnswer: -365, 462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 - 4*r. Let n be m(3). Let d(y) = 12*y - 3*y**2 + 2*y**2 - 2*y - 12 + 2. List the prime factors of d(n).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.3 - -6.4. Suppose 0 = 4*x + 12, 6*w = w + 4*x - 1203. Let o = -2671\/11 - w. Which is the nearest to l? (a) -0.3 (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 3*a**2\/2 - 2708. Let g(m) = 3*m**2 + 666*m - 1. Calculate n(g(v)).\nAnswer: 9*v**2 + 1998*v - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((12 - 3) + -3 - (-13 - -13))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011010101100011 - -10011010?\nAnswer: -1011010011001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -26484865 divided by 1?\nAnswer: -26484865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**5\/2 - 10*l**4\/3 + 7*l**3\/6 = 0.\nAnswer: -7, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v + 1. Let w(a) = -9*a - 2. Let i be -1 - -2*(-12)\/(-8). Suppose o + 5*s + 19 = 0, -2*o - 2*s - 12 - i = 0. Give o*w(p) - 7*d(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1371 - -2066. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 - 86 + 3*y**2 + 86.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/sqrt(96) + -5.\nAnswer: -5 + sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 - 15. Let j = 7 - 2. Suppose -180 = h - j*h. Calculate the highest common divisor of h and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6715 - 6711. Solve k*q = 10*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3)\/(66*2\/176)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.37948909 rounded to 4 dps?\nAnswer: 1.3795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.924 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6*m**2 - 182*m + 58. What is l(30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 298, 654, 1148, 1786, 2574?\nAnswer: 3518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 12) to base 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 14*l + 20. Let u be k(-4). Let o = -21 - -40. Let v = u + o. Is v at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -7*q + 4. Let b(s) = -5*s + 4. Let a(v) = -5*b(v) + 4*r(v). What is a(4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 110*d**2 - 2*d + 6 - 5*d - 56*d**2 - 53*d**2. Calculate t(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**5 + 0*j**4 + 0*j**4 + (-6*j**3 + 2*j**3 + 5*j**3)*(-j + j + j**2) + 5*j**5 - 3*j**5 - j**5 + 1249 + 5*j**5 - 1249 + 6*j**3.\nAnswer: 9*j**5 + 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 101868994?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-6) - (-4)\/6. Let p = 77.6 - 77.2. What is the second biggest value in 2, n, p, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, u: 2, g: 6, t: 4}. What is prob of sequence utt?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -172701 and -0.8?\nAnswer: 138160.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*d - 23*d = -30*d - 768 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 101895341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*q + 8. Let w(b) = -b. Let n(f) = -55*f + 12. Let k(d) = 1309*d - 286. Let v(y) = -6*k(y) - 143*n(y). Give q*v(m) + 14*w(m).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 265280089819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 12*x**2 - 3*x - 7. Let y be q(11). Calculate the common denominator of y\/(-6)*(-22)\/12 and -45\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -184*r + 20. Let x(t) = 34*t. Determine -x(c) + z(c).\nAnswer: -218*c + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -s + 13, -3*s - 3*u - 9 + 30 = 0 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1625 and 2368250?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(24*1))\/(((-107457)\/(-392))\/(-51)).\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -23*t**2\/2 - 66. Let d(w) = -9*w**2. Give o(d(r)).\nAnswer: 207*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/36 and -69\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, w: 3}. What is prob of picking 2 w and 2 m?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**3 + 1537*j - j**3 - j**3.\nAnswer: j**3 + 1537*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1757 - -3030. Suppose -3*d - 144 = 1782. Let p = d + l. Is p 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 180411501?\nAnswer: 3, 127, 359, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.2, 3\/5, 0.012.\nAnswer: -2.2, 0.012, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((-1 + sqrt(20))**2 - -5*(sqrt(125) - sqrt(5))**2) + (sqrt(180) + -1 + 0 + (sqrt(180) - (-1 + sqrt(180))) + 4)**2).\nAnswer: -1851 - 132*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 - 2)*(1 - 4*p - 1) + (-2 - 5*p + 4*p + 2*p)*(-47 - 34 + 58).\nAnswer: -35*p + 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + ((-1 - -3) + -8 - 2) + -3 + 9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -653*n**3 - 144*n**3 - 433*n**3 - 2*n**2 + n**2 + n**2 + (0*n - 3*n + 2*n)*(n - n + 11*n**2).\nAnswer: -1241*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 427823 < 9839900\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 286178530 to the power of 1\/2, to the nearest integer?\nAnswer: 16917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 less than or equal to 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**1\/h*h)\/h**11*((h*h**(2\/23)\/h*h)\/h*h)\/h**1)**(-11\/4) assuming h is positive.\nAnswer: h**(1001\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5, -0.2, -93?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -7*o + 23*o**3 + 0*o - 2440*o**2 + 2440*o**2. Let x(j) = -68*j**3 + 20*j. Give 17*r(a) + 6*x(a).\nAnswer: -17*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 19 * -3.4\nAnswer: -64.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + 25*k - 21*k + 12, x + 3 = -k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) + sqrt(8)*-2*-5)\/((sqrt(80)\/sqrt(5))\/sqrt(4)))**2*-4.\nAnswer: -968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 95 (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4*(16\/(-2))\/24)\/((-17877)\/(-606))?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 - -34. Let r = -15 - g. Solve 0 = -k + 5*k + r for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -6*h**2. Let q(c) = 5*c**2. Suppose o + 3*o + 28 = 0. Let k(m) = o*q(m) - 6*s(m). Let g(b) = -69*b**2 - 1 + 1 + 61*b**2. What is g(k(v))?\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -447*z**2 + z**4 - 3*z - 437*z**2 + z**4 + 2 + 869*z**2 in the form j*z + t*z**4 + n + o*z**3 + x*z**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232354 (base 11) to base 16.\nAnswer: 5a1d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158 (base 14) to base 4.\nAnswer: 10102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -l, d - 2*l = -d + 12. Suppose -2*y + 1 = g + 3, -5*g + d = 0. Let h be (-4)\/(-5)*(-40)\/16. Is h at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 63\/49 - 4. Let v(a) be the first derivative of -1 - y*a - 2\/21*a**3 - 2\/7*a**2. Let v(h) = 0. Calculate h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 308 by 3.\nAnswer: 308\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-200)\/6*(19057\/95 - 35). Is s > -5521?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 minus 94.3?\nAnswer: -105.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -834593*m**2*x**2 - 6*m**2*x + 74241*m**2 + 189*m - x wrt x?\nAnswer: -1669186*m**2*x - 6*m**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7*a - 53. Let w(q) = -14*q + 128. Calculate -9*w(j) - 21*x(j).\nAnswer: -21*j - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -2*w + 4*i, 2*i - 15 = -w + 6*i. Suppose -w*d + 16 = -27*d. Suppose -2*j = -d*s + 366, -s + 4*s + 3*j = 252. Is 20 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(170) + sqrt(170)*-2))\/(-6*(1*sqrt(10) + sqrt(10))).\nAnswer: -sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 16 = -4*r, 5*f - 2 = 3*r + 18. Suppose -5*t + t = -f. Sort 2, -5, t in decreasing order.\nAnswer: 2, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 228*o**2 - 2*o - 5*o - 2*o + 9*o in the form q + n*o**2 + z*o and give n.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 973076 to the power of 1\/2, to the nearest integer?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 160 = -5*n, -n + 8*x - 3*x + 32 = 0. Suppose 0 = -2*g - 63 + 5. Let f = 38 + g. Calculate the remainder when n is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8\/9 (b) 0.121 (c) 16.123\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/150 and 29\/41788.\nAnswer: 3134100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0, -71, -1\/72, 1\/5, 459?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 273 and 1848.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 19 - 19 = 0. Sort -2, g, -184 in ascending order.\nAnswer: -184, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/47 - -43\/188. Let m = -0.8 + 0.312. Let d = 0.012 - m. Which is the nearest to h? (a) -1 (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26446, 1, -440.\nAnswer: -26446, -440, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2982 divided by -497.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104867 + -58024. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -197 + -98319?\nAnswer: -98516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 53*a - 47*a + 4*i, 4*a + 3*i - 4 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4970 is divided by 1506.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + 4 + (sqrt(75) + 1)**2 + ((sqrt(75) - (4 + 3*sqrt(75))) + sqrt(75))**2 + -5).\nAnswer: -165 - 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4\/7, 138, 11\/2, -9 in descending order.\nAnswer: 138, 11\/2, 5, -4\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 8:47 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 2 + 2)*(-4*g + 6*g - 6 - 2) - 2*g**2 + 3*g**2 - 6*g**2 - 50*g**2 + 996 - 9*g**2 - 999.\nAnswer: -62*g**2 - 8*g - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13104128 and 469?\nAnswer: 91728896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3832778, 3832787, 3832796, 3832805?\n\"Answer: 9*d + 3832769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c + 41304 = -31*c. Let l = c - -413141\/30. Find the common denominator of l and -97\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88520239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2267298992.\nAnswer: 2, 7, 2891963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 571 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 5*m = -8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-2 - 1)) + (148 - 143)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 520, 1043, 1566, 2089, 2612, 3135?\nAnswer: 3658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -142.56732144 and -0.63?\nAnswer: 141.93732144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28054*u**3 - 7 + 7 - 73107*u**3.\nAnswer: -45053*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/(-10))\/((-1)\/(-6)). Let w = 65 - 64. Let a be 20\/(-8) + 1 - -2. What is the third smallest value in r, w, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 y when three letters picked without replacement from yyyvsyv.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6031\/21182 - -3\/3026. Let g be ((-9)\/(-30))\/((-6)\/(-8)). Which is the nearest to -0.1? (a) g (b) 1\/9 (c) 8 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-20) - 52\/(-5). Let x(c) = 2*c - 15. List the prime factors of x(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -47468 - -324?\nAnswer: -47144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 13*d**4\/12 + 186*d + 134. Let c(a) be the first derivative of r(a). Let b(t) = 11*t. Calculate b(c(j)).\nAnswer: 143*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3021001 (base 5) to base 3\nAnswer: 2110012002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 2.73, 9\/13, 2\/7, 41?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*n - 8*n**3 - 202*n.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 57181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.01 - 23.01. Let m = -0.3 + 0.5. Let r = 0.1 - m. Which is the closest to h? (a) r (b) -0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1390)\/(-14) - (-90)\/(-315). Calculate the highest common divisor of w and 825.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 3*y**3 + 70. Let b(j) be the third derivative of -j**5\/30 - 2*j**2. Determine b(v(h)).\nAnswer: -162*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 - 5*f**2 + 6*f**2 - 1)*(2 - f + 5*f - 2*f).\nAnswer: 10*f**3 + 10*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -33, -54, -53, -12?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15229182797\/2516430 - -8\/251643. Let y = 6063 + o. Let t = 11\/140 + 107\/20. Calculate the common denominator of t and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1545, -3088, -4631?\nAnswer: -6174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**4 - c**4 - 3*c**4 + (4*c**3 - 4*c**3 + 9*c**3)*(7*c + 23*c - 8*c).\nAnswer: 197*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -210*w + 3*w**3 - 2*w**3 + 20*w**2 + 2*w**3 - 2*w**3 wrt w?\nAnswer: 6*w + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -3*p**4\/4 + 3*p**3 + 3*p**2\/2 - 9*p + 2. Solve j(c) = 0 for c.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 5245048*m - 1719408032644.\nAnswer: -4*(m - 655631)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, m: 12, v: 3}. Give prob of sequence vmm.\nAnswer: 33\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*y**4)*(-3 + 4 + 1 + (4 - 1 - 1)*(-5 + 2 + 1) - 2 + 4 - 1)*(2 + 3 - 6)*(1 - 1 - 1)*(1062 - 2129 + 1084).\nAnswer: -51*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1820461*z**3 - 3*z - 3603138?\nAnswer: -5461383*z**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20 + -8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4*s**2 - 440*s - 12100 = 0.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.88394 minutes to seconds.\nAnswer: 1193.0364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 2*n - 2. Let a(b) be the second derivative of b**4\/12 - b**3\/6 + b**2\/2 + 5*b. Give 2*a(t) + z(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**2. Let q(v) = -2*v**2 + 39*v. Determine y(q(i)).\nAnswer: 20*i**4 - 780*i**3 + 7605*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.07 (c) -2\/15 (d) -22 (e) -6 (f) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g - 2. Let l be (-4)\/(-9)*-3*9\/(-6). Let i be (2*9\/(-3))\/(-2). Let n(f) = i + 4*f + 1 + 1. Determine l*n(t) + 5*m(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 141, 169, 179, 165, 121, 41?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 735 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m - 201 = -61 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -257 < -257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9156, 18306, 27450, 36588, 45720, 54846, 63966?\n\"Answer: -3*k**2 + 9159*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -1183983?\nAnswer: 1183980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/19, -5, 4.2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 29081*q - 465300. Determine p(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u - 2. Let t be y(-6). Let r be (-74)\/t - (-10)\/25. Let l = -477\/2 + 239. Sort r, l, 0.1 in decreasing order.\nAnswer: l, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 1, m: 1, j: 1, x: 1, q: 2}. What is prob of picking 1 r and 1 q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*o = 18, 0*r - 15 = 2*r - o. Suppose f - 15 = -2*y - 41, 4*f = 4*y - 92. What are the prime factors of r*2*36\/f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -63. Let x be 4\/18 - z\/9. Sort 1, -3, x.\nAnswer: x, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19, -31, -43?\n\"Answer: -12*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (5 - (1 - -5)). Let a = -0.8 - 0.2. What is the second biggest value in 0, a, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -43\/13868?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.1 + -5. What is the third smallest value in 0, 0.2, y, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -18\/13, -0.2, -18.06, -53?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -218 (base 9) to base 7\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -9. Let s(i) = i - 2. Let b be s(q). Let g(d) = d**2 - 3*d + 1. Let m be g(3). Put b, 2, m in descending order.\nAnswer: 2, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 251729 = -61*r + 152834. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r - 9. Let s be b(-4). What is the biggest value in -2\/33, s, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 50.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/4))**(-3\/17)*b**(1\/13)\/b**5*(b**5\/(b\/((b**(-1\/8)\/b)\/b*b)*b))\/(b**2\/b**(-2\/3)) assuming b is positive.\nAnswer: b**(-31013\/5304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 15070520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 5 - -3) + 4 - 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3409349*j - 2 + 3 - 1.\nAnswer: -3409349*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.5 and 0.17?\nAnswer: 0.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 32*u**3 - 17*u**2 - 138*u + 1168. Does 16 divide o(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 646282 and 7420.\nAnswer: 6462820","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 20*n**2 - 36*n + 5. Suppose 2*i - 4*j - 42 = 0, -4*i - 2*j = -6*j - 64. Calculate the lowest common multiple of i and o(18).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*t - 23, i + 8 = 3*t + 24. Let c be (t\/(-4))\/(2\/(-16)). Let o = c - -16. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 685\/2 + -352. Calculate the common denominator of a and 39\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.2416 times 0.1\nAnswer: 1.02416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6724 divided by -818\nAnswer: 3362\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 562957993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 22885 = 29*p. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7, -2, -17, 5 in ascending order.\nAnswer: -17, -2, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2. Let w(r) be the second derivative of -1\/6*r**3 - 2*r + 7\/2*r**2 - 26. Calculate c(w(t)).\nAnswer: t**2 - 14*t + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -481*v = -485*v + 3*s + 1380, -2*v + 2*s + 694 = 0. Calculate the remainder when 2036 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-172)\/56 - -3)\/(0 - 6\/(-72))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -5 + 13242\/(-12)*((0 - -6) + -20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 643, -12, 5, 4, -5 in descending order.\nAnswer: 643, 5, 4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b. Let v(h) = -25*h + 20. Let r(i) = i - 1. Let d(x) = -20*r(x) - v(x). What is l(d(c))?\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -206 + 211. Which is the nearest to -1\/5? (a) u (b) -2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**5\/20 - a**4\/6 - a**3\/6 + 3*a**2\/2 + a. Let b be o(3). Let q be ((-3)\/1)\/((-8)\/(-12) + -1). Is b > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-1547.\nAnswer: 6188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and -0.6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(18\/984*(-4)\/30). Let c be (1021917\/d)\/(-13) + (-2)\/(-5). Let f = -1\/615 - c. What is the common denominator of -71\/10 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1093 - -2198. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 14*o. Let c(n) = -7*n**2 - 42*n - 3. Let u(h) = -c(h) - 3*p(h). Let x(k) = 3*k**2 + 2. What is 2*u(z) - 3*x(z)?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**2 - 20 + 0*s**2 + 0*s**2 + s**2.\nAnswer: -7*s**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2d5725 (base 15) to base 12\nAnswer: -89a568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105 + 575. Round i to the nearest ten.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 26*i**2 + 2*i - 2. Let n be (-8)\/4 - -4 - -23. Let l = -27 + n. Does 15 divide s(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, 8, -39447.\nAnswer: -39447, 8, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.6 + 4.6. Let h = -193 + 383\/2. Which is the closest to -1? (a) k (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198629.\nAnswer: 307, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*i**4 + i**3 - 142*i + i**2 + 68*i + 73*i to p + h*i**2 + d*i**3 + f*i + q*i**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2478 is divided by 77?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of t**8\/14 + 7*t**4\/6 - 4*t - 5. Let j(c) be the first derivative of b(c). Find the third derivative of j(f) wrt f.\nAnswer: 480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 - (9 - (-9 + 7 + 6) - (17 + -2)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 4. Let w be n(-8). Suppose 2*g + 0*g - 4 = 0. Suppose -g*p = -p. Solve -t - 1 - w = p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29\/5207 + -10\/127. Suppose -y + 0 = -1. Which is smaller: x or y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2022 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(128)*5 + -3 - (sqrt(128)*3*6)**2).\nAnswer: -248850 + 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-52 + 91 + 100)*(51 + 2 + 19)*(-2 - 2*p**2 + 2) in the form f + h*p + v*p**2 and give v.\nAnswer: -20016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20248*f**2 - 2*f*q + 126*f + 36131280*q wrt f?\nAnswer: 40496*f - 2*q + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19926331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 48 = v. Calculate the smallest common multiple of v and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpgo when four letters picked without replacement from nlloppglqglqlnpqpl?\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.4 and 1920.\nAnswer: 1921.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 3*q**2 - 3*q - 1. Let y be b(4). Suppose 5*d = -y*p - 1 + 2, 12 = 3*d - 2*p. Let c = 9 - d. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26.8 times -2.874\nAnswer: -77.0232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16464528 and 12?\nAnswer: 16464528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - -12. Suppose -u = o - 2*o. Calculate the remainder when 65 is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7304 divided by 1826\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 6*l - 2*l. Let k(g) = -4*g - 7. Let b be k(-1). Let o be 3\/15 + (b - (-16)\/6). What is the closest to -1 in -2\/9, o, l?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + 1*sqrt(2736) + sqrt(2736) + sqrt(2736))**2*-1.\nAnswer: -43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {s: 2, i: 4, h: 8, w: 1}.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 7*x**2 + 13*x + 11. Suppose -3*v + 2*n - 7*n = 17, -11 = v - n. Let u be f(v). Let a(w) = -u - w - 59 + 119. Calculate a(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 a when four letters picked without replacement from {c: 5, a: 2, d: 5, n: 5, j: 1, f: 1}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.03, -7, 23, -2, 1\/3.\nAnswer: -7, -2, 0.03, 1\/3, 1\/2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1264027738 + -38.\nAnswer: 1264027700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1*sqrt(136) + sqrt(136))*4 - sqrt(136)) + sqrt(136) + sqrt(136) + -6*(sqrt(136) - sqrt(136)*-1) + sqrt(136))\/(sqrt(56)\/(sqrt(21)\/sqrt(3)*-2)))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -119.999959 - -120. What is k rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwuwwwwuwwwuwuuuuww. Give prob of picking 3 w.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-54)\/135 + (1 - (-6)\/(-10)). Does 3\/353 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(6\/(-4)) - (-16)\/15.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**6 - 66 - 94423*l - 31*l**6 + 94423*l + 3*l**2 wrt l.\nAnswer: -3840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 140, -5, -2 in descending order.\nAnswer: 140, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5104, 5126, 5152, 5182, 5216, 5254?\nAnswer: 5296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10883651, 10883644, 10883633, 10883618, 10883599, 10883576?\n\"Answer: -2*y**2 - y + 10883654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2198315*n**3 - n**2 + 2332447 wrt n?\nAnswer: 13189890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 137 + -78. Let s = i + -54.2. Let w = 0.2 + s. What is the biggest value in -0.1, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**5\/4 - 3*o**4\/2 + 3*o**2\/2 + 3*o\/4.\nAnswer: -3*o*(o - 1)*(o + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/15 and -58\/5187.\nAnswer: 25935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h - 1. Let i be l(2). Suppose 5*d = 3*u + 116, u + 12 = i*u. Calculate the remainder when d is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**5\/30 - 7*y**4\/18 + 8*y**3\/9 + 10*y. Find s such that c(s) = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -175 + 175.5. Which is the third biggest value? (a) 6 (b) -7 (c) p (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a**2 - 7*a - 11. Suppose 4*n + 5*g + 27 = 0, -2*n + 5*g + 3 = 2*g. What is the units digit of t(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 42 = -2*l. Let n = 149 + -144. Suppose 5*g = -2*o, g = -n*o + l + 9. Is -8\/7 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8547002 divided by -5\nAnswer: 8547002\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l. Let t(q) be the third derivative of -13*q**6\/720 + 43*q**4\/24 - 19*q**2 - 3*q. Let x(s) be the second derivative of t(s). Determine x(m(v)).\nAnswer: -26*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89*u**2 + 60*u**2 - 124*u**2)*(-12 - 27 + 2).\nAnswer: 5661*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2008644 is divided by 105.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3522 (base 8) to base 15\nAnswer: 84e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-81)\/(-15)*(6 + -1). What is the highest common divisor of u and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 45 = -3*a, 3*a - a = -4*j - 44. Let s = 73 + -46. Let z = a + s. Calculate the least common multiple of 1 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139133 divided by 45.\nAnswer: 139133\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(10)*6)\/(sqrt(45)\/(sqrt(9)*-2)) - (sqrt(32) + sqrt(128)\/(sqrt(4)*-5))*-1) + 5.\nAnswer: 5 + 136*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11674597 and -2.\nAnswer: 23349194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -57, -54, -51?\n\"Answer: 3*s - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1188.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 212\/32 + 15\/40?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 - (-76 + 55) - 30\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, h: 5, q: 2, w: 1}. What is prob of sequence qqe?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by -16755\nAnswer: 28\/5585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 1.48?\nAnswer: -0.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*h + 570*h + 771 + 4739 = 0 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from {x: 2, k: 4, n: 1, s: 3, r: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*o = 32*o + 4*k - 5, -k = -2*o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - d + 4 = -0*s, -28 = 5*s + 3*d. Let m = s - -7. What is p in -3 - 3*p + 3*p**3 + p**2 + 6*p**2 - 4*p**m = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 15071980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -928 or -929?\nAnswer: -929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) - 2*sqrt(112)) + sqrt(112) + (-2*sqrt(112))**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 10. Suppose 12 = -z + 3*o, n*z - o - 3*o = -5. Suppose 5*i = -z*v + 288 + 484, 2 = -2*i. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 18 = -y, -22*y + 26*y = -2*h - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 3\/(-63)*306\/(-6). What is the nearest to -0.1 in b, 2, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13 and -33829306312228?\nAnswer: 33829306312241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0506 minus 266907380?\nAnswer: -266907380.0506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 1\/24*k**4 + 0*k**3 + 0*k + 0 + 5*k**2. Let g(a) = 3*a + 1. Give g(r) - z(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8103 = -852*q - 5641 + 25654 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -973.03671 - 4.\nAnswer: -977.03671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 9:46 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 645 - 645. Let f(u) = u**3 + 3*u + 3. Let m be f(r). Solve 5*o - y = 19, -2*o + 2*y = -m*o - 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 992580.\nAnswer: 2, 3, 5, 71, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -983*s + 64980 = -7762 for s.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 176769 to the power of 1\/2, to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13.5? (a) -3 (b) -9 (c) -4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -107055*p + 105634*p + 90944 for p.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2111594 is divided by 177?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*x**2 + 23 + 25 - 48 to z*x + k*x**2 + p and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-49)\/(-21) + 2\/(-6). Solve l - 2*l = -d*q + 9, -4*l = q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gswswgoh. Give prob of picking 1 o, 2 s, and 1 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 73?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 221797444 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41.9 + 42.9. Sort n, 0.4, 175.\nAnswer: 0.4, n, 175","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6939 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.35*5.\nAnswer: 1.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8699\/34828 - -2\/8707. Let g = -5 + 4.6. Let r = 1\/19 - 24\/95. What is the third smallest value in r, g, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-4)\/2124) - -2. Let c = o - 163. Suppose 2*j = -0*s - 2*s - 132, 0 = 5*j - 5*s + c. What is j rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/20 and 179\/15210.\nAnswer: 30420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2 - 10. Let i(x) = x**3 + 8*x**2 + 9*x. What are the prime factors of i(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**6\/120 - o**5\/12 - o**4\/24 + o**3\/3 - 12*o**2 + 41. Let g(h) be the second derivative of s(h). Calculate g(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/2*(-4)\/(-2). Let i = 23 - 21. Sort -4, a, i in descending order.\nAnswer: i, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 9 = 3*j + 30, -42 = 3*j + 4*p. Let z be 3 + (-4)\/j + (-20799)\/(-81). Suppose 15*x = 5*x + z. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*o + 30. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7287 = 3*a + 33*i - 32*i, 4*i = -5*a + 12138. Calculate the highest common factor of a and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -0*l - 4*l. Let x = l + -4. Solve -3*v + 5 = -7*v - 3*f, 0 = -5*v + f - x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c. Let w(q) = q**2 - 145*q - 1. Give z(w(u)).\nAnswer: -u**2 + 145*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 8*y + 5. Let f be b(-8). Suppose 0 = -5*u - 2*v + 10, -25 = 6*u - u - 5*v. Solve f*j + 9 + 6 = u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120 - 20?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49731191.8 rounded to the nearest 1000000?\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**3 + 8*h**2 + 61*h - 289. Is z(-15) a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 8834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 472967518 divided by -205103.\nAnswer: -2306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 11*w + 25 + w)*(1 + 0 - 2).\nAnswer: 10*w + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.81 - -3.01. Let s = -11.2 + 11. Let g = -6 - -3. Put s, x, g in descending order.\nAnswer: x, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + (sqrt(325)*-5 + -2 - sqrt(325)) + (sqrt(325) - (sqrt(325)*2)**2*-6)*-2).\nAnswer: 120*sqrt(13) + 46818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 1\/150*a**6 + 1\/30*a**4 - 1\/25*a**5 + 0 + 2\/15*a**3 + 9*a - 3\/10*a**2. Solve u(i) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-2 + (-5 - (-1 + -5))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 22*s**2 - 73*s + 52. Let c be k(-25). Solve 3*g = -c*i - 17, 0 = 4*i - g + 6*g + 29 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3136902 and 996.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -5, -0.022, 1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 4:01 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1241822 or 1241825?\nAnswer: 1241822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -30*q**2 - 201*q + 38. Determine m(-10).\nAnswer: -952","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 34578 = v - 3350, 3*c - 3*v = 46839. List the prime factors of c.\nAnswer: 3, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 17*z = 304. Suppose 0*a + z*a = 190. Differentiate 19*q**4 + a + 10*q**4 + 7*q**4 with respect to q.\nAnswer: 144*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34.39337 - 0.97803. Let r = 35.4 + d. What is r rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 599 divide 151052825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 1. Suppose -2*h - 1 = 3*x - 2, -h + 11 = -2*x. Suppose -2 = -h*n + 3*n. Calculate the least common multiple of b(-2) and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 830.0585 centuries in millennia?\nAnswer: 83.00585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/39360673?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3264 is divided by 661.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33155 = 5*f - 5*b, -3*f + 2*b = -2*b - 19900. List the prime factors of f.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28569830*z**2 + 178*z - 53929 wrt z?\nAnswer: 57139660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 31*y**2 - 198*y + 29. Calculate the remainder when 101 is divided by j(22).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 - -35. Let t be 24\/g*(-2 + -1). Let j(q) = -3 + t*q**2 + q**3 - q + 3*q**3 - 3*q**3. Calculate j(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -14102247?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 112.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2423 - -2422.5. Which is the nearest to 1? (a) y (b) 34 (c) 2\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 4, 25054610 in ascending order.\nAnswer: -3, 4, 5, 25054610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21073 or 105371\/5?\nAnswer: 21073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 9*p - 8. Let g = 12 + -19. Let x be k(g). Suppose -3*n - 18 = -x*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -80*a - 7 + 1367. What is the remainder when 129 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -287*b**6\/10 - 142*b**3\/3 + 280*b - 2. What is the second derivative of z(t) wrt t?\nAnswer: -10332*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1748*c**4 - 8*c**3 + 40*c**2 - 16466015 wrt c.\nAnswer: -6992*c**3 - 24*c**2 + 80*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 + -39. Suppose 4*p + 53 = 9. Sort b, 0, p in ascending order.\nAnswer: p, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n**3 + 8*n - 4. Let u(v) = v**3 - v**2 + v. Let c(d) = -o(d) + 5*u(d). What are the prime factors of c(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 966881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/8162 - 5133883\/40810. Let c = l - -126. Which is bigger: c or -56?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -334, -482, -618, -742, -854, -954?\nAnswer: -1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450*y**2 + 151*y**2 + 148*y**2 + 152*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.112 * 0.5.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 12:51 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -315*i**6 - i**3 + 5545*i**2.\nAnswer: -37800*i**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 4*i + 2. Let l be y(-3). What is the tens digit of (-64 - -2)*l\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 26 = -2*k, 3*h = -h + 2*k + 6. Suppose -h*j + 9 = -j. Let x be -4*1*(-15)\/12. Solve x*d - 10 = -4*w - j, 4*d = -w - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-53175)\/(-60) - (-57)\/76 is divided by 428?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 9*d**2 + 6. Let q be o(-9). What is the second derivative of -8*h - 6*h - q*h**4 + 12*h wrt h?\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h + 15, -5*h = 3*s - 793. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 322046, 643515, 964984?\nAnswer: 1286453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140167346 and 267?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 371, 923, 1697, 2693, 3911, 5351?\nAnswer: 7013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 f when three letters picked without replacement from {c: 3, f: 3, x: 1}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/5 - 520\/50. Let v be (16\/k)\/(4\/(-10)). Let f(h) = 3*h**3 + 2*h**2 + 2*h + 3. Is f(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89 - 73. Let w = -158 - z. Let l = 0.1 - 0. What is the biggest value in l, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 4*y**2 + 3*y - 5. Let d be x(4). Let l = -5 + d. Does 11 divide (l - (-2 + 6)) + 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25659*d**2 + 25659*d**2 - 125*d - 38*d**3)*(d + d + 0*d) as w*d**3 + h*d + x + m*d**2 + g*d**4 and give g.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 3\/4 (c) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*b**3 - 60452*b**2 + 100712*b + 40288 = 0. What is b?\nAnswer: -1\/3, 2, 5036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 - 2)*(50*t + 37*t - 21*t) as v*t + s and give v.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003109 to seven decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**3 - 40*x**2 + 2*x + 43. Let b be s(-20). Calculate the highest common divisor of 57 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 5*o + 6. Let i be z(4). Let j(c) = 4*c**i - c**3 + 4 + 5*c - c**2 + 3*c**2. Let m = -297230 - -297237. Calculate j(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14603*s + 35210 + 698903 + 270119 = 40434 for s.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -110, 3.7269 in decreasing order.\nAnswer: 3.7269, 3, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 894.5108 + -2408776?\nAnswer: -2407881.4892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/416 and -35\/1516.\nAnswer: 157664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6544*g**5 + 3*g**3 - 1076*g + 1.\nAnswer: 130880*g**3 + 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 2 + -1)\/1. Suppose -n = -2*n + 10. Let c = n - k. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0029 + 0.3971. Suppose -3*u = 5*x + 9 + 19, -51 = 5*u + 4*x. Let v = 8 + u. Put a, v, 3 in decreasing order.\nAnswer: 3, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvv when three letters picked without replacement from mmmmmmmvmvmvvmmmmmm?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**5\/20 - t**4\/2 - 2*t**3\/3 + 2*t**2 + t. What is the tens digit of x(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -9097*h + 245. Is q(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - -2) + 46 + -57 + 24 - (95 - 1)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**3 + 4*f**2 + 4*f + 17. Let g(m) = 31*m - 438. Let h be g(14). Let i(x) = -2*x**3 + 3*x**2 + 3*x + 16. Determine h*i(w) + 3*q(w).\nAnswer: -w**3 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -475*y + 1775 + 4400 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0024020819 rounded to 4 dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 69 = 2*v. Let g be 3 + v\/4 + 3. Let h = 0 - 0.2. Which is smaller: h or g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*1.46.\nAnswer: -39.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*a**3 + 5*a**3 - a**3 + 3)*(0*a**2 - a**2 + 6*a**2).\nAnswer: -60*a**5 + 15*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 0*d**2 + 0 - 1\/12*d**4 - 1\/2*d**3 + 12*d. Calculate c(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/(c*c**(-1)))\/c))**(9\/7)*c**(-5\/2)*(c**(2\/7)\/c)\/c)**47 assuming c is positive.\nAnswer: c**(-1927\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvykkkypxxpkkyxxxpy. What is prob of sequence ky?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/24 and (-8)\/6 - (-170)\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3896 divided by 787?\nAnswer: -3896\/787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83427?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-1)\/1)\/(102\/(-4))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45435001 = -4*b - b + 4*p, 2*b - 5*p - 18174014 = 0. Let u = b - 3273107. Suppose -1193890 = 3*m - u. Round m to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8895 (base 12) to base 5.\nAnswer: -440324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 - 67620*n**2 + 62976600*n.\nAnswer: -4*n*(n - 885)*(n + 17790)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 659 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: Rearrange 845*p + p**2 - 846*p + 2*p**3 + 0*p**4 + 2*p**4 - 11*p**3 + 5*p**2 to h*p**2 + l*p**4 + t + s*p**3 + j*p and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/4 (b) -1\/9 (c) -518\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 317024232 divided by -3.\nAnswer: -105674744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1043177?\nAnswer: 1043177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m - 1. Suppose 5*n - 2*j = 0, n - 5*n = 5*j - 33. Suppose 1 = -3*w + 5*o, -45 + 18 = 5*w - n*o. Is z(w) 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 60172, 61968, 63764, 65560, 67356, 69152?\nAnswer: 70948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3112 divided by 4.\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 8. Suppose -3*k + 3*d + 3 = 6, -2*d + 2 = k. Suppose k = f*q, 4*c - 5*q - 33 - 103 = 0. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + 4)*-3*1\/(-6). Let t(u) be the second derivative of 0*u**2 + 0 + 0*u**3 + 3*u - 3\/50*u**q - 1\/25*u**6 - 1\/105*u**7 - 1\/30*u**4. Factor t(p).\nAnswer: -2*p**2*(p + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (12 - 10 - (-19 - -30))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 7 + 9 = 0. Let x = -79 - -155\/2. Calculate the common denominator of x and d\/(-22) - (-1362)\/(-110).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 20. Let n be 20*(3 + 11\/(-5)) - 2. Let j be s(n). Let z = 36 + j. Solve 0*r = 2*r - 4, 2*r = -z*c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -5*p + 2*y - 3, 2*p = 5*y + 33. Let r(l) = l + 11. Let m be r(p). Suppose -4*u + 25 = 5*o + u, 5*o = 4*u - m. Which is greater: 2\/7 or o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, y: 9, b: 2}. Give prob of sequence ttb.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Suppose -s + 4 = 1. Suppose 0 = s*a + 3*p + 3 + 15, 0 = -2*a + 2*p. What is the common denominator of -91\/10 and ((-74)\/3)\/(2 + a)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 829531, 829529, 829527, 829525, 829523, 829521?\nAnswer: 829519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/((-128)\/12)*11 and 31\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 827 and 188212795.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4 = 1. Suppose -b + 4 = i. Suppose 0 = 3*s + 3, -4*a + 337 = -4*s - b. Does 36 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-5))\/2*-9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81 - -68. Let t = z + -103. Let w = t + -21. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4286775 is divided by 511?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 i when two letters picked without replacement from {q: 2, z: 8, c: 2, s: 3, i: 2}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 0*r. Suppose r = -0*h - h - 5. Let z(c) = c**3 + 4*c**2 - 7*c - 6. What is the units digit of z(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.7968957 rounded to two dps?\nAnswer: 48.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2, -29, -2\/3 in increasing order.\nAnswer: -29, -2\/3, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 863271967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.711725 grams in milligrams?\nAnswer: 2711.725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -114?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -4. What is the remainder when (-18)\/(-24)*(20 + 0) is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -4. Let q be u\/2 - (-5 - 2). Let o be (-4)\/(-12)*q*1. Solve -o = t + 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2 - 14\/(-4). Suppose d*n - 2*o - 257 = 0, -2*n + 3*o = 3*n - 429. What is the common denominator of 57\/4 and 0 - -1 - n\/66?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23169 to the power of 1\/2, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - 1.5. Let m = 0.5 + q. Let h = -0.7000007 - m. What is h rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c + 1. Let l(n) = 2*n**2 - 3*n - 1. Let u be l(3). List the prime factors of a(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 3)*(-2*k + 2*k + 2*k) + 2*k - 1 + 1 to a + l*k and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -4, 4.49, 14\/3 in ascending order.\nAnswer: -4, -1, 1, 4.49, 14\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 22*p**2 + 13*p. Let g(z) = -11*z**2 - 7*z. What is -11*g(y) - 6*j(y)?\nAnswer: -11*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -199.1214 - -2938\nAnswer: 2738.8786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-741)\/57 + (3 - -20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 577, 4, 5 in increasing order.\nAnswer: 4, 5, 577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 - 5 - (-2 - -128). Let p = 212 + o. Let a(b) = b**2 - b + 8. Let v be a(0). Calculate the highest common factor of p and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 590*b + 3. Let d be o(3). Suppose -3*k + d = -1206. List the prime factors of k.\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -18*c + 39 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n. Let r(q) = -10*q + 1. Let j(f) = -6*d(f) - r(f). Let z(t) = 5*t**2 + t - 1. Let p be z(1). Let c(g) = -2*g - 1. Determine p*c(l) - 6*j(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -4742061 and -4741974 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4611545*m**2 - 153496*m + 5.\nAnswer: 9223090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + 77*d**3 - 8*d + d**2.\nAnswer: 77*d**3 - 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*q + q**2 + 2 - 1 + 77*q + (2*q + 3*q - 4*q)*(-2*q - 4 + 4) to y*q + p + o*q**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) 2 (c) -47 (d) 5 (e) -0.067\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -276 (b) -0.11 (c) -0.01 (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from cxzsczc.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.15 - 0.2. Let s = -0.059 - k. What is s rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 585.\nAnswer: -4\/585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9983.50458138 and 0.054.\nAnswer: -9983.45058138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 11*v**2 - 17*v - 13. Calculate y(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, i: 4, m: 1, r: 3}. What is prob of picking 3 x and 1 i?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 260027.37 months in centuries?\nAnswer: 216.689475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2\/4 - 75*j\/4 + 35\/2.\nAnswer: 5*(j - 14)*(j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-1 + -2 - 2) + 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b**3 + 6*b - 5*b**3 - 4*b**3 as j*b + c*b**2 + y + k*b**3 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 7:26 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -8.5. Let m = n - -11.5. Let u = -7 + m. Which is the nearest to 2? (a) 0.4 (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101101111 + 111?\nAnswer: -11101101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1, 5 in ascending order.\nAnswer: -0.1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 712 = 88. Let t = i - -159. Suppose 0 = 56*x - t*x - 7. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*i + 6178, -z - 4*i + 2230 = 159. Let g be (-1)\/2 - z\/(-14). Let y be g\/(-5) + (-4 - (-126)\/30). Round y to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (11 + (-2 + 20 - 30)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + s**2 + s + 491. Let d = 51 + -45. Suppose -d*j + 5 = -j, -b - 5*j = -5. Is k(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/(72511\/(-159770) + 6\/13).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + (sqrt(2736) - 3*(sqrt(2736) + -1) - 2*sqrt(2736)*6))**2*-5 + -5.\nAnswer: -13407030 + 42000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 7*l - 5. Let s be c(-6). Let r = 7 + s. Let i(d) = -2*d. What are the prime factors of i(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/2)*j*j**(2\/3) assuming j is positive.\nAnswer: j**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + (101 - 102) - (-4 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-3))\/s**2)**(-32)\/(s\/((s*s*s\/(s*(s**(-7)\/s)\/s))\/s)*s**(-1)*(s*s**(-1))**(-1\/45)) assuming s is positive.\nAnswer: s**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -7. Let s = y - 6.0009. What is s rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1 - -5.1. Let k = 0 + z. What is the smallest value in -0.5, 7, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362*k - 726*k + 362*k - 273*k**2.\nAnswer: -273*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1, 2, 5, 0.\nAnswer: -9, -1, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 10*a. Let j(c) = -57*c**2 - 5*c - 2. Let w(v) = 2*v**2 - 5*v - 2. Let d(q) = 2*j(q) - 2*w(q). What is d(o(r))?\nAnswer: -11800*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12010423 (base 5) to base 10\nAnswer: -110113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, u: 4, h: 7}. Give prob of picking 3 h.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 19 = -61. Let u be (8\/p)\/(5\/(-25)). Let a(r) be the third derivative of r**5\/60 + r**4\/4 + r**3\/6 + 2*r**2. Determine a(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.3? (a) 2 (b) -162264 (c) 0.2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 0. Let b be 3 + (-3)\/((-6)\/l). Suppose 4*q - 16 = -s, q = -0*q + b*s + 21. Solve q*p = -0*p - 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -2, -2.8, -32 in decreasing order.\nAnswer: 20, -2, -2.8, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11\/8 - -61\/56. Which is bigger: t or 528?\nAnswer: 528","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**4\/5 - 31987992*f**3\/5 - 95963952*f**2\/5 - 95963944*f\/5 - 6397596 = 0. Calculate f.\nAnswer: -7996995, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a52b + 4?\nAnswer: -1a527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50 + -299\/6. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -5, 1142, -83.\nAnswer: -83, -5, 2\/5, 1142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.95 + -141.05. Let c = 145 + t. Let d be (0\/(-1))\/(1 - 2). What is the closest to d in 3\/2, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16\/25 - -1287\/175. Let h = -1192821 - -133596809\/112. Let m = h - k. What is the common denominator of -31\/7 and m?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-five quarters of a millimeter?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2302609?\nAnswer: 2302609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z + 58 = 43. Is (z\/6*-14)\/(4\/45132) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 + 9*n - 9. Let t be s(-8). Let c = -27 + t. Calculate the least common multiple of 14 and c.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1800 + 1941 + -40 + 2 + -1.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86 + 86.1. Which is the closest to 3? (a) -1\/5 (b) 0 (c) 2\/13 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, r: 1, n: 1}. What is prob of sequence mr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1007 - 501 = 4*v - b + 505, 4 + 0 = 14*v - 4*b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + 2 + sqrt(12) + sqrt(12).\nAnswer: 4*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 19, -1, 220, 5, -113.\nAnswer: -113, -1, 0, 5, 19, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2140, 9002, 20600, 36946, 58052, 83930?\n\"Answer: 2*i**3 + 2356*i**2 - 220*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 30 = 14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*j - 66 = 2*j, 2*j = n - 22. Suppose -2*z + 48 - 10 = 5*i, 2*z = 5*i - n. What is the remainder when 15 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1569777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101317.\nAnswer: 71, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 7*c**2 + 9*c + 12. Let v be g(-8). Suppose -8 = -3*o - v*d, -4*o - 18 = 3*d - 24. Suppose o*t + 2*t = 4. Which is greater: 1\/2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzzr when four letters picked without replacement from {z: 12, r: 6}?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 47*m**2 + 174*m + 596. Let z be w(47). What is z rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -27943, -27945, -27947, -27949?\n\"Answer: -2*n - 27941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 6*o + 2*o)*(-29*o**2 - 5*o**2 - 2*o**2).\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvssvssnnnssssns. Give prob of sequence sss.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24877186?\nAnswer: 2, 29, 229, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28\/3*v**3 - 34\/3*v**2 + 2\/3*v + 4\/3 = 0.\nAnswer: -2\/7, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a = -12*a - 211. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by (-1)\/3 - 780\/(-18)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1584 = -37*h - 1251 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13546 - 13547. Which is the fifth biggest value? (a) 3 (b) m (c) -6 (d) 0.008 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -11. Suppose o + 4*r + 13 = 0, -5*o - 97 = 2*r + 2*r. Let a = n + o. Which is smaller: -7 or a?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-50855)\/(-63) - (-1)\/((-18)\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11695666837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -14308 times -0.5\nAnswer: 7154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 31401, 62823, 94245, 125667, 157089, 188511?\n\"Answer: 31422*n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 9. Let k = -7094 + 7094. What is the nearest to d in k, 0.2, 0.05?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -34. Let h(p) = p**3 + 5*p**2 - 7*p. Let l be h(-7). Let r be 140\/l + (s - 1). Do r and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2713 + 2720. Which is the closest to -1? (a) 0 (b) -1.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-65*s + 8*s + 23*s)*(-5*s + 14*s + 7*s) + 3*s**2 + 1 - 4 - s + 4 as g*s**2 + c*s + h and give g.\nAnswer: -541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3032*g**2 + 45*g**2 + 876*g**2 + 4*g to the form u + t*g + c*g**2 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/5*30\/(-12). Let d(w) = w**5 + w**4 - w**3 - 6*w**2 - 5*w + 5. Let i(q) = 3*q**2 + 3*q - 3. Let t(h) = p*d(h) + 5*i(h). Solve t(l) = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -10*m + 9. Let c be u(-7). Suppose -q + 0*q = -c. What is the remainder when q is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 14) to base 6\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h + 8*h - 5*h**2 + 1 + 1 + 10*h + 9*h**2 to f*h**2 + k*h + t and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in 2\/5, -1, 288, -0.1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -19, -0.3, 2\/5, 17533?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -28.22. Let m = -0.084946 + -0.015054. What is the third smallest value in -5, v, 3, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iirr. What is prob of picking 1 i and 2 r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2 + 27752*k + 55496 = 0. Calculate k.\nAnswer: -13874, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3249?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.639*0.28.\nAnswer: 0.45892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 22 + 47 = 0. Let x be (-6)\/(-81) - (-238)\/918. What is the biggest value in g, 0.4, -0.2, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 - 15 = -2*f. Let h = f + 47. Which is the third biggest value? (a) h (b) 2\/11 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*-5 - (sqrt(20) - (sqrt(160)*2)\/sqrt(8) - sqrt(20)))\/((-2*sqrt(120)*2)\/((sqrt(144) - (sqrt(144)*-2 - sqrt(144)))\/sqrt(12))).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**7\/175 + 13*r**6\/200 - 7*r**5\/25 + 23*r**4\/40 - 3*r**3\/5 - 5*r**2. Solve p(u) = 0.\nAnswer: 1\/2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 343203 and 4071.\nAnswer: 7893669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 = -0. Let h = -2 - -5. Suppose -k + 2*k = h. Sort u, 2, k.\nAnswer: 2, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/4 - 7*s\/4 - 2 = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a**2 + 37*a + 8. Let m be f(4). What is the highest common factor of 201 and m?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3858978 - 5.5\nAnswer: -5.8858978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/6226896 and -25\/96?\nAnswer: 12453792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2806 + 2811. Sort -3, -1, q, 240.\nAnswer: -3, -1, q, 240","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*d**3*k**2*w + 209*d**3*k*w - 9*d**3 + 2*d**2*k**2*w + 2*d**2*k*w + 129*d**2*w - d + k**2*w - 9 wrt d?\nAnswer: -240*k**2*w + 1254*k*w - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28)\/6 + 16\/6 + -3. Let s(v) = 7*v**2 - 3*v - 7. Let f(l) = -6*l**2 + 2*l + 6. What is r*f(m) - 4*s(m)?\nAnswer: 2*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 3, 6, 4 in increasing order.\nAnswer: -0.04, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 224194320?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8\/25 of a second?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4887 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((133\/84)\/((-10)\/90))\/(3\/(-4)). Solve -r = 3*v - 37 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14808 * 3.7.\nAnswer: 0.547896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 405996*b + 811990. Calculate p(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - -4) + (1882881\/55 - (-16)\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2 + 1 + c**2 + 0 - 6. Let s(v) = -v**2 + 2. Let n(k) = -3*s(k) - 2*t(k). Let a(h) = -6*h**2 + h - 2*h + h. Give a(n(q)).\nAnswer: -6*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -562, -1104, -1598, -2020, -2346, -2552, -2614, -2508?\nAnswer: -2210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 5*m = c + 53, -c - 3*m + 31 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/5887 and 125\/6902?\nAnswer: 200158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**2 + 4*d + 8. Let t be u(-6). Suppose 46 = 2*p - t. Suppose 4*c = 3*v + p, 3 = c - 3*v - 30. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(15\/(-6) + 2). Let u be -2*(-1)\/m*-13. Let l = 16 - -127. Calculate the greatest common divisor of u and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f + f - 2*f)*(1 - 3 + 3)*(24 - 117 + 6) to the form n + o*f and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + 4 + (sqrt(396) - (sqrt(396) - (1 + sqrt(396)))))**2.\nAnswer: 120*sqrt(11) + 1609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 2*p**2. Let f(d) = -10*d**2 - d**2 + 4 + 4*d**3 - 5 + 2*d**3. Let u(n) = -4*f(n) + 22*t(n). What is the derivative of u(k) wrt k?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 - 29 = -13*z - 36, 7*z - 23 = 4*t - 49 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 1956*x + 334590. Calculate h(221).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30628 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 + -16197?\nAnswer: -161a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 686a (base 12) to base 5\nAnswer: 332402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27280 and 3696?\nAnswer: 572880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -145, -157, -193, -265, -385?\n\"Answer: -2*a**3 + 2*a - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -23*r**3 - 12*r**2 + 11*r - 1. What is t(1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2432924198 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -155, -250, -349, -452?\n\"Answer: -2*r**2 - 89*r - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 8:47 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1192, 2265, 3338, 4411?\n\"Answer: 1073*m + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v**2 + 14*v - 4. Give t(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 4. Let u = 0 + a. Suppose -27*t - t - 1128 = -960. What is the nearest to u in t, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1.2. Let i = -0.4 + j. Let h be (-45)\/(-5) - (-15 - -28). Which is the second smallest value? (a) h (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -911 divided by -47008?\nAnswer: 911\/47008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13\/6*g**2 - 68\/3*g + 10.\nAnswer: (g - 10)*(13*g - 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 22, -76, 1081 in descending order.\nAnswer: 1081, 22, 3, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272876525 a multiple of 5157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4710170 to the nearest integer?\nAnswer: 2170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6077 is divided by 34.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/((-18)\/(-57)) - 4. Find r such that -16 - 78*r**2 - 77*r**2 + 156*r**2 + n*r = 0.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 6\/2263, 0.19.\nAnswer: 6\/2263, 0.19, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1063 + 1062.999204. What is y rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/a**(1\/4)))\/a)\/a)**(23\/4) assuming a is positive.\nAnswer: a**(-161\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 944, 734, 376, -130, -784, -1586, -2536?\n\"Answer: -74*s**2 + 12*s + 1006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 13) to base 11.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*p + 59*p - 52*p - 3*p.\nAnswer: -46*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*p**3 + 1395*p**2 - 5448*p + 5404.\nAnswer: -(p - 2)**2*(11*p - 1351)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 10*y**2 + 0*y**2 - 3*y + 3 - 2*y - 4*y - y**3. Let r be k(9). Suppose -4 = -l + r. Which is smaller: 6 or l?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/6*-2)\/((9450\/(-3645))\/70)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4) + (-117)\/(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) - (-4 + (sqrt(1053) - -2*sqrt(1053) - sqrt(1053))**2))*5.\nAnswer: -21040 + 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + i**2 + i - 1. Let d(a) = -4*a**2 - 2*a + 2. Let g be d(1). Let j(k) = 3*k**3 - 6*k**2 - 4*k + 4. Calculate g*l(h) - j(h).\nAnswer: h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(13)*4 + -4 + (sqrt(117))**2 + -4.\nAnswer: -4*sqrt(13) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y - 2. Let x be k(6). Let q = 14 - x. Let d be 1\/(-3 + 1 - -3)*4. Solve t + 6 + 10 = 3*p, -5*p + d = q*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.751 + 457.249. Is -1\/5 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d8 + -115b?\nAnswer: -1455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2037, 2045, 2053?\n\"Answer: 8*j + 2029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -932 divided by -466?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46790628657 - -0.04.\nAnswer: 46790628657.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4681 + 4898 = 341*q + 1395 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52 - (1 - 34) - (-2 + 1) - -8) + 99.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 + -15 + 6 + 8. Solve 5*r + n*z = -40, 2 - 10 = -3*r + 5*z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 54 and 53 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 36*n**2 + 77*n - 29. Let i be b(38). Suppose s - 3 = 3*g - i, 4*s = 12. Calculate the remainder when 65 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/14 + 2\/7 - 3775\/(-302)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 102 = -0*r. Let m = -95 + r. Suppose -m*a + 10*a - 327 = 0. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*1\/(-70)*49425\/(-11862).\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58579 and 45?\nAnswer: 2636055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 7 = p, 0 = -0*p - 2*p + 2*n + 6. Let i be p + -3 + 6 - 1. Solve i = -3*t - 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)\/x*x*x\/x**(3\/7)*x)\/(x**1)**44 assuming x is positive.\nAnswer: x**(-332\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -3, 0.2, -29.\nAnswer: -29, -3, 0.2, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**3 - 65*k**2 - k + 1067. Let u be y(32). Solve -2*z = 5*l + u, 19*z = l + 16*z - 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, -7, 0 in decreasing order.\nAnswer: 9, 5, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -576\/25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 + 5*k**2 + 5*k + 4. Let b(c) = -c**2 + c + 1. Determine -4*b(y) + f(y).\nAnswer: -2*y**3 + 9*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 21. Let t be w(-14). Let v = 2 + t. Suppose v*g - 379 = 242. What are the prime factors of g?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4945\/(-20))\/(-10 - 9867\/(-988)).\nAnswer: 19, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4982734805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 399 and 737751?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*p**5 - 947*p**2 - 17*p**5 + 914*p**2 wrt p.\nAnswer: -2520*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 242 + -171. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - q = -12 - 1, 0 = -q + 5. Let o be (4\/(-84))\/(2\/6). Let f be (-2)\/24 - 2\/8. Which is the closest to f? (a) 1\/5 (b) o (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 654290?\nAnswer: -1\/130858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1514 + 1517. Let y(k) = 2*k - 11. Let t be y(8). Solve l = t - a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4836 and 192?\nAnswer: 77376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*c**2 + 74*c**2 - 62*c**2 + 187 + 215 - 2*c**3 as g*c**2 + k*c + q*c**3 + l and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(85)\/sqrt(5)*5 - sqrt(17)) + (sqrt(17) + sqrt(17) + 0 - sqrt(17)) + -5 + 3.\nAnswer: -15*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1772\/11 + -161. Is k greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 4546350*x - 4546355.\nAnswer: 5*(x - 1)*(x + 909271)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 2*n**2 + 0*n**2. Suppose 0 = -3*u + 109 - 88. Let w(t) = -14*t + u*t + 3*t + 0*t. Give x(w(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 78484153.76 rounded to the nearest ten thousand?\nAnswer: 78480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = v - 5*q, 51502*v - 51503*v = 2*q + 36 for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + u + 1. Let m(a) = 3*a**2 - a - 2. Determine 4*m(g) + 10*y(g).\nAnswer: 2*g**2 + 6*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 72297 a multiple of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -3 + 2 - -11) + -2. Suppose 4 = -j + p. Solve 6 + 14 = -j*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 46*l**2. Let h(q) = 601577*q**2. Determine o(h(m)).\nAnswer: 16647164798734*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l - 9*l - 50 - l**2 - 25*l - l**2 + 13. Calculate the smallest common multiple of 24 and t(-13).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 1. Solve 7*r - k = 3*r + 21, x*r + 3*k = -7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 861 (b) -1 (c) 1106 (d) 2\/7 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ur when two letters picked without replacement from {t: 1, u: 2, r: 2, v: 1, f: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 8*j**2 + 8*j + 5. Let p be b(-6). Let q(w) = 5*w - 127. Let k be q(14). Let t = p - k. What are the prime factors of t?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21 - 26 - (2 + -14). Suppose 0 = 6*k - f*k + 5*g + 782, 3*g = 3*k - 2382. What are the prime factors of k?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-8)\/(-128)*2*32\/20.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/30*(-1 + 7\/(-21)). Let f(v) be the first derivative of g*v**5 - v + 0*v**2 + 0*v**4 + 0*v**3 + 4. What is the derivative of f(m) wrt m?\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-26) - (3 - (-935)\/(-260))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 + 43. Let l(g) = -35*g + 1. What is the remainder when l(q) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17590857227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 744685169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -48*v + 1. Let u(n) = 14*n**2 + 2*n + 536. Give u(g(c)).\nAnswer: 32256*c**2 - 1440*c + 552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 12*u**2 - 82*u - 2332. Let t(x) = -2*x**2 + 14*x + 389. What is 6*h(k) + 35*t(k)?\nAnswer: 2*k**2 - 2*k - 377","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1 (b) 26\/3 (c) -9 (d) 3\/2 (e) 0 (f) 3 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11533, 23072, 34611?\n\"Answer: 11539*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 8. Let f be z(5). Is (19\/2 + f)*22 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97 + 95. Let y = -24\/43 - -322\/731. What is the nearest to -20 in y, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1216312 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: In base 3, what is -1212210 - 10002210?\nAnswer: -11222120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 40 - 83 - 61 = -12*q + 92, 0 = -3*d + 5*q + 179 for d.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1611240000 to the nearest one million.\nAnswer: 1611000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138624 and 17369154.\nAnswer: 2166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -34*k**2 - 25*k - 1. Let b be l(-19). Round b to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.213 and 3?\nAnswer: -0.639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -0*l - l - 4, l + 5*m = 2. Let k = 14 - l. Calculate the remainder when (-58)\/((-4)\/2 + 0) is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4134634793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17496779.\nAnswer: 2791, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*u - 5*m, -3*u = -3*m + 4*m - 17. Let t = -17415 + 17418. Solve -3*i - 16 = -5*c + t*c, u*i = -4*c - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 5*k**2 + k + 6. Let h be i(6). Let d = h + 24. Let p = 42 - 212\/5. Which is the nearest to 0.3? (a) p (b) d (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1843 + 2*t**3 - 2257 - t**3 - 1592.\nAnswer: t**3 - 5692","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is b0575 (base 12) in base 5?\nAnswer: 24311110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.29 + -24.29. What is the biggest value in -136, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 254282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - f + 1. Let r be z(-3). What is the smallest common multiple of (-6 - -4)*(r + 1) and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.55 - 2.15. Let h = -3 + 7. Let o be 2 + 14\/(-20)*h. What is the smallest value in o, y, -3\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-448)\/20)\/(-19*(-202)\/(-9595)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -0 + 4. Let h be 24\/1 - u - 2. Suppose -3*r + 13 = -h. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djvjvqjdqzqj. What is prob of picking 2 v?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 386 = 390, -8 = 4*o - 4*b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021001101 (base 4) in base 5?\nAnswer: 34032324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9366.218kg?\nAnswer: 9366218000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 38 = 3*b - 3*d, 0 = 3*b + d - 43. What is the greatest common divisor of b and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/15 + 3330\/675. Solve -5*v = 4*a - 12, -2*a = -3*v - g*a + 9 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = p - 1. Suppose -11 + 15 = r. Let l be ((-30)\/(-50))\/(r\/(-10)). Sort l, p, -1\/3 in increasing order.\nAnswer: l, -1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) -4\/7 (b) -2\/155 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - -507085?\nAnswer: 507107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/37 in -4, -1\/7, -1, -17, -7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**5\/20 - 493*p**4\/4 - 985*p**3\/2 - 6961*p**2. Let s(l) = 0. Calculate l.\nAnswer: -985, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-151 - (-16 - (10 - 16)))\/4.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 1928.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*m = -66*m - 728. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4619 + 0.0619. What is the third smallest value in a, -1\/2, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 17*z - 11. Let c(l) = -4*l + 9. Let n(j) = 7*j - 19. Let k(x) = -9*c(x) - 4*n(x). What is 13*k(r) - 6*s(r)?\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v + 1 - 2 + 1. Let r(p) = -p. What is 3*r(n) + w(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(3)*-6)\/(sqrt(33)\/sqrt(3)*6) + -2 + (sqrt(108)*3)\/sqrt(6).\nAnswer: -2 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 12 = -c + 3*c, -c = 3*i - 7. Let d(g) = -10*g**3 - 3*g**3 - 5*g**3 + g. Determine d(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + c**2 + 2*c - 1. Let l(v) = -5*v**3 - 3*v**2 - 3*v + 8. Determine -l(b) - 6*t(b).\nAnswer: -b**3 - 3*b**2 - 9*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, q: 7}. What is prob of picking 2 q?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g + 7*g**2 - 6*g**2 + 5*g.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1498.2333 months?\nAnswer: 1.24852775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203, -789, -1767, -3137, -4899?\nAnswer: -7053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 907613 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -288 - -201. Let q = h - -86.61. Let k = q + -0.11. What is the third smallest value in 1, 1\/2, 3, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, d: 6}. What is prob of picking 2 d and 1 p?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2353, 9508, 21419, 38074, 59461, 85568, 116383?\n\"Answer: -2*k**3 + 2390*k**2 - k - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 9*l - 9*l + (2*l + 3*l - 3*l)*(-3*l + 3*l + 3*l))*(6*l**2 - 25*l + 25*l).\nAnswer: 48*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven quarters of a millisecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -1) + 3 + -9. Suppose -1 = -3*k - 13. Is z > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v - 7. Let n(r) = 4*r + 10. Let b(o) = -3*o + 12. Let j be b(5). Let s be j + (-2 - -3)*-4. Determine s*w(t) - 5*n(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 + -75. Let q(r) = -r**3 + 7*r**2 - 6*r - 6. Determine q(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 31, -1\/3, 0.3, 3, 0.002?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -2*q**2 + 200. Let a(b) = 2*b. Suppose 5 + 3 = -2*d, 3*d + 7 = -s. Calculate s*a(p) + 2*t(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -5*w - r, -2*w + 741481*r - 14 = 741483*r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-54)\/(-63))\/(2\/7). Suppose 0 = -4*g - g. Solve y*f - 4 - 11 = g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -10, -5 in increasing order.\nAnswer: -10, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -15*a**4 - 156*a**3 + 105*a**2 + 66*a = 0?\nAnswer: -11, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 31 - (24 + 7 + -16).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e7e6 + 26?\nAnswer: e80c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}