diff --git "a/data/dm_maths/full_data_2/10724_11255.jsonl" "b/data/dm_maths/full_data_2/10724_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10724_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the remainder when 10297475 is divided by 1542.\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -o - 3. Suppose -64*k + 68*k + 316 = 2*t, 2*t - 5*k = 320. What is the remainder when t is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96097995 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*g - 190*g = -4155. List the prime factors of g.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gogvvovuurvroy. Give prob of sequence vg.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**4\/16 + h**3\/3 + 3*h**2\/8 + 16. Solve x(m) = 0 for m.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 181.9 + -182. Do o and 53 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3043 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -34507.3 rounded to the nearest 100?\nAnswer: -34500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, q: 4, u: 1, c: 1, h: 4, d: 3}. What is prob of picking 1 c and 3 v?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 5*l**2 + 6*l - 3. Let d be m(-6). Let y be (-12)\/(-9) - 2\/d. Suppose 40 = -26*w + 21*w. Which is smaller: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 42.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnannnnann. Give prob of sequence naf.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ifdzeiffdwfziwezze. What is prob of sequence fzfz?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 89095951.7 to the nearest ten thousand.\nAnswer: 89100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 190040 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40525 is divided by 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(3 - (-5)\/(-5)). Suppose -28400462 - 12399538 = j*t. Round t to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.02, -32\/13.\nAnswer: -3, -32\/13, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20155 and 4309.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**2 - 5 + 2*o**2 + 1. Let t(g) be the third derivative of -g**5\/60 + g**3\/6 - 4*g**2 - 261*g. What is -d(v) - 4*t(v)?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6765 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143474401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (4 + sqrt(5))*6 + sqrt(5) + sqrt(55)\/(sqrt(77)\/sqrt(7)) - (5*sqrt(175)\/sqrt(5))\/(sqrt(700)*1)) + 2.\nAnswer: 17*sqrt(5)\/2 + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25963, 26407, 26851?\nAnswer: 27295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -1\/15*r**2 - 171 + 1\/30*r**4 - 4\/3*r + 4\/9*r**3. Factor w(u).\nAnswer: 2*(u - 1)*(u + 1)*(u + 10)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4473.926 tonnes to milligrams.\nAnswer: 4473926000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + sqrt(117))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1984?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-10)*(-45)\/(1665\/(-74))*(-40)\/(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -18*l + 4. Let q be m(2). Let t = q + 31. Let u(c) = -c + 2. Let f(w) = 4*w - 6. Let s(j) = f(j) + 3*u(j). Let n(y) = 4*y + 2. Give t*n(v) + 2*s(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -191917513*s**2 + 52575034*s + 4 wrt s.\nAnswer: -383835026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*v + 80 = 87*v. Solve -7 = -3*i + v*j, 28 = -3*i - 2*j + 27 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 3. Let s be o(8). Calculate the highest common factor of 1 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*j + 4. What is the units digit of 467 + j*(-4 + 3) + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3 + 94*p**2\/9 - 3064*p\/3 + 64064\/9 = 0.\nAnswer: -28, 88\/9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -0.3. Let g(a) = a**3 - 9*a**2 + 11*a + 11. Let d be g(6). Let c(z) = -z**2 - 33*z - 61. Let u be c(d). What is the nearest to u in j, -1\/2, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357153 is divided by 7439.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 101702269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.86 + 1.29. Let i = m + -3.149997655. Round i to seven dps.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 10:03 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 649894 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**5\/19 - 9780*m**4\/19 - 12072588*m**3\/19 - 284339752*m**2\/19 - 248170866*m\/19 + 544592988\/19 = 0 for m.\nAnswer: -2433, -23, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 5.3 and -4.588653.\nAnswer: 0.711347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 8:27 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(96)\/sqrt(3)))\/(5*(sqrt(400) - sqrt(400)*-2)).\nAnswer: sqrt(11)\/600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 - 529)*3\/(-6)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.8 + -0.2. Let y = 11947\/47796 - -1\/23898. What is the nearest to y in 0.1, 5, b, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1751)\/(-1955) - (-1 + 3 + -1) and 10\/11.\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*v**(1\/13))*v*v**37\/v assuming v is positive.\nAnswer: v**(480\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11915, 11917, 11919?\nAnswer: 11921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lgqlqlllqllllllll. What is prob of picking 1 g and 2 l?\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(40)\/(sqrt(20)\/sqrt(4))))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/61 in 0.07, -0.7, -15\/4, 4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 676 - 59. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -352 + 631. Let l = 129 + d. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-20)*1\/6\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*z - 19. Let o be (-3 - 0) + 13 + (z - 3). Solve -o*n - 12 = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a + 17001795390*a**2 - 17001795391*a**2 + 3*a + 2*a**3.\nAnswer: 2*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104102 - -157263. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5000.97 rounded to the nearest one hundred?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.039 and -79.6347 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7091.9 + 7092. Which is the third smallest value? (a) 19 (b) 2 (c) -5 (d) 22 (e) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.26336 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 30296.71 microseconds?\nAnswer: 0.03029671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -q. Let p be q*2*(-3)\/6. Which is smaller: p or 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 962.61218.\nAnswer: -2887.83654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o - 5*o + 2*o + (2 - 3 - 1)*(2*o - 4*o + 4*o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/90)\/((30\/360)\/(3\/8))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 5*i + 2 + 5, 3*i = 5*t + 2. Let r be (t - 35\/(-2))*2. What is the highest common factor of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6502, -6511, -6534, -6577, -6646, -6747, -6886, -7069?\n\"Answer: -w**3 - w**2 + w - 6501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5224225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3 + (-2)\/(-3). Let a(w) be the second derivative of -22*w + 0 - 7\/2*w**2 - 1\/6*w**3. Determine a(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1255682426?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 823 >= 929297\/1130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-6)*(-8)\/6. Suppose 4*x - 104 = h*x. Suppose 3*f = -x + 721. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -215302 - -56?\nAnswer: -215213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2145, -2131, -2119, -2109, -2101, -2095, -2091?\n\"Answer: -f**2 + 17*f - 2161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6*j*j\/j**(-8)*j**(-6)\/j**6)\/((j*j*j**(-4\/5)*j**(-2\/3))\/(j**2*j*j**8)) assuming j is positive.\nAnswer: j**(217\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsxb when four letters picked without replacement from qbbbaqsbqbx.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 5*z. Let h be -1 - 8*3\/6. Let u(n) = -n. Let a(c) = h*u(c) + p(c). Let f(r) be the third derivative of r**4\/12 - r**2. Give a(f(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n + 5. Calculate the smallest common multiple of z(3) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/10 and 137\/12073350?\nAnswer: 12073350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 = -3*d. Put d, 0, 1 in decreasing order.\nAnswer: d, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/4)\/((-10)\/(-100)). Suppose 3*r - 2*r = s - 72, -w*s + 356 = -4*r. Let h = s - -47. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 134*f**3 - f**2 + 8*f + 8. Determine z(-1).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = 29*q + 95 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 0. Let w = 1.7 - 2. Let d = w + 0.5. Which is the third smallest value? (a) m (b) d (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16583569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 956, 2000, 3220, 4706, 6548, 8836?\n\"Answer: 15*x**3 - 2*x**2 + 945*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7454900 and 1490980?\nAnswer: 7454900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in -237\/7, -0.3, 5, -1\/5, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = l - 123, 11*l = 16*l + 25. Calculate the highest common divisor of 1856 and g.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(108) - sqrt(300)*-1.\nAnswer: 61*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -22*t + 32*t. Put 4, t, 0, -60 in increasing order.\nAnswer: -60, t, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*q + 177 = 0, -2*s - 44 = -5*q - 162. Find the third derivative of -90*z**2 + 19*z**6 + s*z**2 + 48*z**2 + z**3 wrt z.\nAnswer: 2280*z**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4121551 and 692889?\nAnswer: 3253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 6:12 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1421aa (base 11) to base 14.\nAnswer: -5b142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -b - 4. Sort -2, 4, b, -4 in ascending order.\nAnswer: -4, -2, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**4\/12 + 2*n**3\/3 - n**2\/2 - 9*n. Let v be h(1). Suppose 2*b + 5 - 17 = 0. Solve -v = -4*x - b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-3) - ((-24)\/9 - -3). Let w(v) = v**3 - 19*v**2 - v + 20. Let g be w(19). Solve -3*s - i = g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3668689039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48a2 (base 13) to base 8.\nAnswer: -24040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2) - ((-350)\/(-28) - 13). Solve c = 4*o - 1 + 21 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1219 is divided by 507.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 15149*y + 15145*y = 36, -5*b - 44 = 4*y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - sqrt(1210)*-6)\/(sqrt(2) - (sqrt(2) - sqrt(242))*1 - sqrt(2)).\nAnswer: 67*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 117649*n*y**2 - 1118864006*n - y**2 - 111*y wrt y?\nAnswer: 235298*n*y - 2*y - 111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2295*u - 6890. Determine b(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 5)\/((-16)\/48).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5\/5 + 56*c**4\/5 - 822*c**3\/5 + 1404*c**2\/5 = 0 for c.\nAnswer: -39, 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 6, -33 = 4*b - 7*b + 4*t. Solve b = 4*d - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -141*w**3 + 21*w**2 - 108*w - 21. Let z(r) = 35*r**3 - 5*r**2 + 27*r + 5. Let g(i) = 5*f(i) + 21*z(i). Find the second derivative of g(m) wrt m.\nAnswer: 180*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 + 2 + (-1 - -10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -89*u**3\/3 + 386*u**2\/3 - 129*u + 30 = 0. What is u?\nAnswer: 30\/89, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + z + 3. Let j(c) = -c**2 - 2*c - 2. Give 4*g(m) + 6*j(m).\nAnswer: -2*m**2 - 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 411902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*k = 45*k. Let l(v) = -v**3 - v**2 + 3*v + 7. What is the least common multiple of l(k) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -23962, -96154, -216474, -384922, -601498?\n\"Answer: -24064*s**2 + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tktktttt. Give prob of sequence tk.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12604.64 + -12607. What is the nearest to -0.05 in 2\/3, 5, v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1302*j**2 + 200*j wrt j.\nAnswer: 2604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.152, 0.3, 4\/27, 0, 3\/7?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c + 57. Let f be w(-13). Solve 0 = 4*h + f*x - 29, 7*h - 14 = 3*h - 2*x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 260556*h**2 + 5*h*p + 2*h + 5*p + 1750410 wrt h?\nAnswer: 521112*h + 5*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6078.02854 - 6078. Round l to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3443 (base 5) to base 8.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*l - 10*l + 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.371 < 1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 z when two letters picked without replacement from {v: 1, m: 2, o: 2, e: 1, n: 1, z: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 t when three letters picked without replacement from wmwtwtmtzmtttmtwwm.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - b. Suppose 5*s + 6 = -14. Let x(z) = -z**2 - z - 1. Let p(i) = -8*i**2 + i - 5. Let y(l) = p(l) - 3*x(l). Calculate s*h(f) - y(f).\nAnswer: f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w**3 - 39991*w + 39991*w + 5*w**3 - 2*w**3.\nAnswer: 15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.60301149 - 2.603. What is l rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-135)\/(-60) - (0 - -3)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -0.4, -0.2, -15, -2\/21?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1056 + 1056. Suppose w = -4*z + 3*r + 19, -7*z - 3*r = -10*z + 12. Solve 3*n = -2*k + 17, k = n + 3*k - z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*h - 104, 2*h - 52 = -l - 0*l. Is l a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 6*n - 1. Let v be p(-6). Let i = -1 + v. Let c(a) = 6*a**2 + 4*a - 7. Let s(h) = 2*h**2 + h - 2. Determine i*c(f) + 7*s(f).\nAnswer: 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-369)\/492*(4\/(-9))\/1. Let v(x) be the first derivative of 15 - 1\/2*x**2 + y*x**3 - 3*x. Give v(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((4*(sqrt(1377) + 1) + sqrt(1377) + sqrt(1377) + -1 + -2)*-2)**2 - (-5 + (sqrt(1377) - (1*sqrt(1377) + -2 + sqrt(1377))) + sqrt(1377) + -3)**2).\nAnswer: 432*sqrt(17) + 198260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-10)\/8*-10. Let h = -19 - i. Calculate the greatest common factor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/229 - 326\/7557. Let i = l - 3\/11. Let b = 0.2 + -0.1. Put i, 2, b in descending order.\nAnswer: 2, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*v + 12*v - 7*v)*(2 - 4 + 1)*(v**2 + 3*v**2 - v**2)*(1 + 6 + 3) as c*v + q*v**2 + p*v**3 + r and give p.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 10*q**2 - 5*q - 50. Let n be f(-10). Solve 4 = -n*g + 4*g - 4*i, 4 = -3*g - 4*i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3\/8)\/b**(8\/7)*b*b**(3\/4)*b*b**(-1\/63)*b assuming b is positive.\nAnswer: b**(1117\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 28.4997 and -1927.\nAnswer: -1898.5003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7635 and 129?\nAnswer: 328305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 671421923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(162\/(-360) + (-1)\/(-5)) - 16.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -2. Let f = z - -6. Suppose i = -4*b - 446335 - 23681, 4*i = f*b - 1879984. What is i rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 7*r**2 - 9*r - 3. Let f be z(-8). Let q = 20 - 7. Let y = -14 + q. Which is the nearest to y? (a) 6 (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1183, 6993, 12815, 18655, 24519?\nAnswer: 30413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -1, 1, -3\/2, 1\/2, -1483?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -446 divided by -1\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -525067*y + 525066*y = 22 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**3 + 0*s**3 + 4*s**3 + (-2*s**2 - 2*s**2 + 5*s**2)*(2*s - 2*s - s) + 103*s**2 - 103*s**2 - 9*s**3.\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31.7982 - -9.8. Let u = j + 22. Round u to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/2 + 2)*2. Let g be (-154)\/(-33)*6\/o. Suppose -12 = -a - g. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (161 + 44 - 96)*(s - 3 + 3).\nAnswer: 109*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 3:04 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 16, 4, 0.02, 150\/13, -12?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a year in months?\nAnswer: 222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 109 - v**2 - 4*v**3 - 3*v**3 - 106 as i*v**3 + q*v**2 + t*v + p and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 4*a - 12, 4*a = 2*p + 338 - 330 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = f - 2*v, -f + v + 2 = -4. Suppose -f*p - 2 = -2*p. Put 4, 8, p in increasing order.\nAnswer: p, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, 18, -3, -43 in decreasing order.\nAnswer: 18, -3, -43, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 + 1300?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 2. Suppose 2*x = x + v. What is the remainder when 30 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 378 and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, t: 1, v: 4, w: 1, k: 1}. Give prob of picking 1 y, 1 w, and 1 k.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31871 >= 3\/1255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*m**2\/2 - 127278*m - 51250659\/2 = 0. What is m?\nAnswer: -199, 85847\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*u + 22. Let g be (-2 + u\/10)*-5. Solve 7 = -g*f - 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379280 to the power of 1\/2, to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 26501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-441)\/(-27) + 190\/(-57). Let u = -19 + 31. Suppose 0*o - 10 = -2*o. Solve o*q - u = g for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 4*f = j, -5*f - 4 = 4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 3:48 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1828 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -169*j - 12678. What is t(-75)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 443662238 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 7*f - 46. Suppose -31*i + 340 = -48*i. Does 19 divide l(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113987697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41 in 58, -1\/6, -4?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 30 (c) 3 (d) 0.5 (e) 4845\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 8. Give k(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**4\/12 + 46*g. Let d(j) = j - 19. Determine d(c(n)).\nAnswer: -n**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (26\/13 - 4\/3)\/((-49)\/21). Let j = -1.2 - -0.2. Let w = j - -1.2. Which is the nearest to w? (a) f (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 7. Suppose p*t - 11 = -3*l + 48, -5*l - 3*t = -125. Suppose 2*g = -2*i + 26, 4*g - l = 3*i + 3. What is the smallest common multiple of g and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -56, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 5*c**3\/4 - 5*c = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 - 15*q**5 + q**5 + (-q**4 + 3*q**4 - 3*q**4)*(2 - 2 + 3*q) - q**5 - 3*q**2 - 729 + 729.\nAnswer: -17*q**5 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 8. Suppose -2*x + 3*v = -1, -z*v - 6 = -5*v. Suppose l = x*l - 184. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjyjyj. Give prob of sequence yjy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j - 2. What is w(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28391788 divided by 1268.\nAnswer: -22391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198 - 26*w**2 + w - 12*w**2 + 742 - 391.\nAnswer: -38*w**2 + w + 153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3420562269 rounded to four decimal places?\nAnswer: -0.3421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-13 - -5)) + -6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25530*i + 22*i + 5145*i + 8090*i to o + z*i and give z.\nAnswer: 38787","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6802529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 3*s + 2 + 1, -4*s - 3*l = 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g - 24. Let j be f(-4). Let l = 559 + -560. Which is the closest to -12\/13? (a) -0.3 (b) j (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 10:32 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cttwwwhwcqwhwcqcmctq. What is prob of picking 1 h and 1 q?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v + 6. Let z be f(7). Let s(g) = -3*g - 20. Let n be s(z). Which is the third smallest value? (a) 2 (b) 3\/4 (c) n (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12422.34 rounded to the nearest one hundred?\nAnswer: -12400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xogxgohhhho. What is prob of picking 2 x, 1 g, and 1 h?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5337*h**4 - h**2 + 666?\nAnswer: -128088*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -5, 1\/10, 0.4, -33\/74?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**8)\/(v*v**2))\/(((v*v*(v**(-15)*v)\/v)\/v)\/(v\/(v*v\/(v*v*v**0\/v*v)))))**(-3\/29) assuming v is positive.\nAnswer: v**(-63\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, -1188, -2, -6\/23, -3\/5?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 11:37 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f - 6. Let n(s) = 3*s + 5. Let g(z) = -4*c(z) - 6*n(z). Differentiate g(j) with respect to j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341321 is divided by 135.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1962746322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (7 - 5) - 4 - -2. Suppose -2*m - m = n. Solve 5*d - 4*k = 11, 4*d - 3*k + 0*k - 8 = m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -42446, -42407, -42370, -42335?\n\"Answer: -a**2 + 42*a - 42487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, x: 1, d: 1, h: 1, z: 1, i: 2}. Give prob of sequence dx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffbhbfbfffb. What is prob of picking 1 b and 1 h?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 13*l**3 + 5*l**2 + 5*l - 62. Let r(s) = s**3 + s**2 + s - 4. What is -5*r(n) + u(n)?\nAnswer: 8*n**3 - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.4 - -6. Let m = -1.3 - g. Which is the third biggest value? (a) -5 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -5*q + 61. List the prime factors of q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 + 8*b**2 - 5*b - 10. Calculate o(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 1) + 17 + (3 - -1) + -12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00161718 to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 9*y**2 - 14*y + 2. Let b = 1 - 0. Calculate the remainder when l(-7) is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -3*q**5\/5 - q**4\/8 + q**3\/2 - 3*q**2. Let h be k(2). Let f = h + 591\/4. What is the second biggest value in -0.3, -5, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*t - t = -44, 0 = 4*g + 2*t - 226. Let k be ((-5)\/(-3))\/((-7)\/(-252)). Let u = k - g. What is the greatest common divisor of 18 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 + -74. Let v be (-1)\/(-8) - (k - 244\/(-32)). Factor 5\/4*u - v + 1\/4*u**3 - u**2.\nAnswer: (u - 2)*(u - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**2 - 6*q + 15. List the prime factors of m(11).\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqujeeur. Give prob of sequence uu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.53 - -15.43. Round k to zero dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 563 + -279. List the prime factors of i.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 2\/11 (c) -48 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -7*n**2 + 9*n - 9. Let f be o(1). Let q be -52 + f + 12\/4. Is q greater than or equal to -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33265 divided by -1.\nAnswer: 33265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7\/3 (b) 0.53 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from bbbbzzbbbzzbbbbbbb?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxvo when four letters picked without replacement from ssxsosxvqxoxo.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 9930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 6 = -5*m, -32*m + 6 = 2*d - 29*m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**7\/7140 - f**6\/1530 - 5*f**3\/6 + 8*f. Let a(y) be the second derivative of z(y). Factor a(w).\nAnswer: 2*w**2*(w - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*15\/10*((-2380)\/(-30))\/17?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -17*d - 1. Determine a(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -4*t + 600, -2*p = -5*t - p + 742. Suppose t = 3*f + f. Suppose -5*y - 2 = -f. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.56886 - -3.58621432. Let v = s + -5.01735632. Let n = -5 - v. Round n to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/6*-5*(-3)\/(-6)*-2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**2*k**2 + 37*d**2 - 5391*d*k**2 - 4580*k**2 + 1644268*k wrt k.\nAnswer: -2*d**2 - 10782*d - 9160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 2)\/((-9)\/(-234)). Let l = 32 + j. List the prime factors of ((-10)\/l)\/5*-357.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47a (base 12) in base 5?\nAnswer: -10140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*r, 2*c = 5*r - 65 - 34. Let u = 75 + -30. Let a = c + u. What is the highest common divisor of a and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*t + 8*t - 1056 = 0 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2393 + -2285. What is the least common multiple of 252 and z?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 9. Suppose -b*t + 2*t + 14 = 0. Suppose -t*a = -3*a - 8. Solve -5*d - 20 = f, -2 + 18 = -a*f - 2*d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u**2. Let l(s) be the first derivative of -2*s**3\/3 - 2. Calculate l(b(a)).\nAnswer: -50*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -143410*f**2 - 51059*f wrt f.\nAnswer: -286820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 15, -0.4, 12\/401, -5?\nAnswer: 12\/401","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5724, -5714, -5704, -5694, -5684?\nAnswer: -5674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100 + -1?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 - -27. Let x be 31\/3 - 8\/g. Let m = x + 23. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43929461 less than 43929460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 24*s**2 - 27*s - 27. Suppose -12*p = -31*p + 4009. Let m = -209 + p. Let r(b) = 0 + 3*b - 4*b - 1 + b**2. Determine m*t(k) - 54*r(k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 38 = 22. Suppose -5*h = -h - d. Suppose -h = -3*i - 5*k, -5*i + 4*k = 2*k - 29. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 y when three letters picked without replacement from {e: 6, r: 1, l: 5, y: 3, c: 2}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4859, -4491, -4173, -3929, -3783, -3759, -3881?\n\"Answer: -4*d**3 - d**2 + 399*d - 5253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 90 + 306. List the prime factors of m.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*d - 4 - 3*d)*(90155*d**2 + 90016*d**2 - 179745*d**2 + 18*d).\nAnswer: -426*d**3 - 444*d**2 - 18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 - -15. Let u = -213\/4 + h. Which is smaller: u or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 19 + 1\/120*o**6 - 2\/15*o**5 - 7\/6*o**3 + 0*o**4 + 0*o - o**2. Determine d(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4652106 or -1?\nAnswer: 4652106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 37 = -7. Let t = q + -6. Factor t - 1 - 2 - r**2.\nAnswer: -(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4\/5 + 12*w**3 + 56*w**2\/5.\nAnswer: 4*w**2*(w + 1)*(w + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15008\/12 - (-2)\/(-3) is divided by 70.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*h = -6, -t - 3*h = -6*h - 9. Let r(w) = -1 - 5*w + 5 + t*w. Let m be r(-7). What is the highest common divisor of m and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 136?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/16)\/((-12)\/16)*40\/90.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(6)\/sqrt(2))**2*-2 - sqrt(3)) + 5 + -3).\nAnswer: -24 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*c - x - 172, -c + 61 = 5*x. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/6 + (-2)\/3. Let f be q + -3 + 4\/10. Is 1 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 0 + -141 + 133.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -5.4. Let s be (-2 - -1)*(-1)\/(-10). Which is the nearest to 2\/5? (a) s (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 19*z - 25. Let n = -27 + 39. List the prime factors of p(n).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/2)\/(21 + -7). Let i = -0.08 - 0.22. What is the smallest value in d, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -366 + 466 + (-4581)\/45\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((4 + -1 + sqrt(245))*-2 + (-2 + -2 + sqrt(245) - sqrt(245)) + -1))**2.\nAnswer: 1232*sqrt(5) + 4404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, r: 7, g: 2, t: 5, n: 1, p: 3}. What is prob of picking 1 g and 1 p?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 8*u**2 + 9. Let c be o(-8). Suppose -5*v = 16 + c. What is the smallest value in v, -0.5, -1\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 694172459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(2 - (-6)\/(-2)). Suppose 0 = -w - q - 1. Let v(a) = 2*a**3 - 171*a**2 - 78*a - 688. Let k be v(86). What is the nearest to k in -6, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 1949480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*t - 21*t + 35*t - 16 - 111 to y + i*t and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - d = -2699, o - 3598 = -3*o - 2*d. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26.1857 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(5\/3)))\/f)\/(f\/(f**(2\/61)*f*f)*f))\/(f**(-11)\/f)**5 assuming f is positive.\nAnswer: f**(10498\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4514*n**2 + 4514*n**2 - 159*n**3.\nAnswer: -159*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v + 4 = 0, 0 = m + 2*v - 190. List the prime factors of m.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/13, -7\/3, 2\/5, 5, 0, 0.07.\nAnswer: -7\/3, 0, 0.07, 2\/5, 9\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*q = 207*q + 476. Let c(m) = 2*m**2 + 32*m + 5. Calculate c(q).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.1 or 623.93675?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**10*s\/s**(-4))**39\/((s\/s**(-2\/5))**(-2\/111)*(s**1)**(2\/5)) assuming s is positive.\nAnswer: s**(346112\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lb when two letters picked without replacement from bbbbbllbbbblbbbbbblb.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/4 of a week?\nAnswer: 32760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34913 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1000*i**3*v**2 + 4*i**3*v - 7*i**2 - 35*i - 58234*v**5 + 498*v wrt v.\nAnswer: 2000*i**3 - 1164680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 1:27 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -10*g**2 - 2*g + 2. Suppose -201 + 48 = -202*r + 219*r. Let h(n) = -41*n**2 - 7*n + 9. Give r*q(k) + 2*h(k).\nAnswer: 8*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-4\/7)\/q)\/q)\/(((((q**(-4\/5)*q)\/q*q)\/q)\/q)\/q))**(-1\/70)*(q**0)**21\/(q*(q*((q\/(q*q**0\/q)*q)\/q)\/q)\/q)**(-4\/7) assuming q is positive.\nAnswer: q**(696\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 1\/2, -567.41, 3, 0.4 in increasing order.\nAnswer: -567.41, -45, 0.4, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -193, -261, -379, -547, -765, -1033?\n\"Answer: -25*l**2 + 7*l - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 990 = -1390470*b + 1390437*b for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 336 + -334. Is 3\/(-6)*-24305*v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdu when three letters picked without replacement from ommumumududmmd.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1519332 or 1519333?\nAnswer: 1519333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 11 + 59. Let a = 148 - 152. What are the prime factors of (-888)\/(-28) - a\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5\/7)\/((x*x**(-1)*x)\/x))\/(((x\/(x\/x**7*x))\/x)\/(x**(4\/9)\/x)))**(-5\/6) assuming x is positive.\nAnswer: x**(1975\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 766132 and 1512.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(-n + 0*n - n)*(-2 + 4 + n**3 - 4*n**3).\nAnswer: -6*n**4 + 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 13*p**3 + 9*p + 1. Let f(i) = -3*i**3 - 2*i. Determine -9*f(y) - 2*h(y).\nAnswer: y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -16*a - 5 + 159. Let j(x) = 13*x - 141. Calculate j(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 831440.16ns to days.\nAnswer: 0.00000000962315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s - 15*s - 9*s + 36*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102*189.09.\nAnswer: 19287.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 700034272?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d959f4 + -3?\nAnswer: -d959f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 210726614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(0 - (-4)\/(-18)). Let r(c) = 2*c**2 - 4*c + 5. Let x be r(-6). Suppose x = 2*h + 11. What is the highest common divisor of l and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -166 + 26 + 13 + (14 - 6) + -8 + -8?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p**5 + 1432*p**4 + 3*p + 884.\nAnswer: -40*p**3 + 17184*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c + 4 - 4 + (-3 - 1 + 5)*(-4*c + 3*c + 0*c) - 3*c + 5*c + 1 + 2*c - 568 - 73*c + 1084 + 19*c as t + m*c and give m.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/44 + (-1)\/(-2). Let i = 0 + -0.5. Let o = 4 + 1. Which is the closest to 0? (a) i (b) y (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.03 - 12.83. Let n = -2708 + 2721.33. Let p = n + a. Round p to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -828 - -40.7014402.\nAnswer: -787.2985598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 118 - 88 - 2*y + 14003*y**3 - 13999*y**3 + 9*y**2 as a + h*y**3 + s*y + x*y**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 11674. Let v(a) = 2*a. Calculate v(m(n)).\nAnswer: -2*n - 23348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from {v: 1, s: 2, f: 3, l: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**3 - 5*x**3 + 3*x**3)*(-2*x**2 + 2*x**2 + 6*x**2)*(-8 + 8 + 13) - 5*x**5 - 4*x**5 + 4*x**5.\nAnswer: 151*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (10 - (-2 - (-1 + -3))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, h: 8, x: 3, w: 4, p: 2, b: 1}. Give prob of sequence pe.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 342+31469.4\nAnswer: 31811.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*k - 23, k - 37 = -k - 5*u. Suppose -4*w = -w - k. Find the third derivative of -2*f**2 + w*f**2 + f**2 - 6*f**2 - 2*f**4 wrt f.\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, 0, -2, -67618, 3, 1.\nAnswer: -67618, -2, -1, 0, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189 = -2*v + 4*p - 165, -4*v - 22*p - 72 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = l - 4*z, 0 = -2*l + 5*z + 35 - 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 9. Suppose -3*q = -2*q - 4*a - 8, -a = -2*q + 9. Let b be x(q). Solve -2*w = -w - b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 5*a - 65, -4*l + 485 = -6*a + 411 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + 6*(sqrt(102) + (sqrt(102)*-6 - sqrt(102) - sqrt(102))))\/(sqrt(66)\/sqrt(44)) + -3.\nAnswer: -82*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -1417 - 651. Let z = -203 - q. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 + 55 + 7*v**3 - 114.\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 8480222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 3 - 6*a**2 - 9*a + 5 + 3 + 3*a. Suppose -3*j + 27 = 6. Calculate the smallest common multiple of 10 and b(j).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, q: 3, b: 1, y: 2}. Give prob of sequence qqxq.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 12:16 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -16, 1, 5034 in descending order.\nAnswer: 5034, 12, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3063151 - -3?\nAnswer: -3063145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 16*d - 61. Let h be k(-9). What is the third derivative of 191*v**6 - 55*v + 28*v**h + 37*v**2 - 64*v**2 wrt v?\nAnswer: 22920*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 60 = -2*a. Let g = 17 + a. Let n = 3 + g. Solve -n - 5 = -5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 8, -5*v + 4*o + 303 = 289 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/7)\/(d*d**1\/d))\/(d\/(d\/(d*d\/(d\/d**(-1))*d*d)*d)*d**(1\/6)))\/((d**4\/(d\/d**(-3\/8)))\/(d**(-5)\/((d\/(d*d**(-2\/5)\/d))\/d*d*d))) assuming d is positive.\nAnswer: d**(-10001\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1086 = -19*i - 155. Calculate the remainder when i is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**3 + a**2 - 9*a + 9*a + 2*a**2 to the form b*a**3 + t*a**2 + k*a + u and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 5 = -5*n. Let c be (n\/8)\/(6\/(-40)). Solve -c = -4*o + 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18480 divided by -4?\nAnswer: 4620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*r + 2*r + 2 = 0, 3*n - 14 = -2*r. Let l(m) = 5*m**2 - n*m**2 - 12*m**2 - 3*m**2. Let w(b) = 5*b - 3*b + 0*b. Calculate w(l(o)).\nAnswer: -28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 11*y**3 + 2*y. Let g(u) = u - 1. What is 2*g(z) - s(z)?\nAnswer: -11*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -9*d**2 + 12*d + 12. Suppose 5*w + 6 = 2*s + w, 4*w = 5*s - 3. Let q(j) = -j**2 + j + 1. What is s*y(f) + 12*q(f)?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -1. Let o(p) = -6*p**2 + 15. Let n(m) = 15*g(m) + o(m). Let u(j) = 9*j**2. Determine u(n(s)).\nAnswer: 324*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/137130 and 167\/301686.\nAnswer: 1508430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/4 - 30\/(-8). Suppose -3*c + n*l - 572 = -215, -3*c + 3*l - 360 = 0. Let x = -46 - c. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**6\/5 + 2*o**3\/3 - 7*o. What is the second derivative of v(n) wrt n?\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4793 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 + -5450158?\nAnswer: -5450140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**2 + 57404*u - 229648 = 0.\nAnswer: -28706, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 31*n**2 + 70*n - 7. Let a(w) = 22*w**2 + 50*w - 5. Let c(o) = -14*a(o) + 10*t(o). Let g be (1 + -4)*(-2)\/6. Let q(l) = 1 - g - 36*l. What is c(q(x))?\nAnswer: 2592*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and -4480578487290?\nAnswer: 4480578487289.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37253.\nAnswer: 37253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 48695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-134 - 196 - -328) + 71 + -1?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 9:38 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 130319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -243 + 177.1. Let o = j + 66. What is the closest to 1 in -0.1, o, -8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/4)*d**2*d**(-6)*d**8)\/(d*d**(-2)*d**(-4\/7)*d*(d*(d\/(d*(d\/(d**(2\/3)\/d*d))\/d))\/d*d)**11) assuming d is positive.\nAnswer: d**(-1051\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.9 - 6.4. Suppose -l = l - 120. Let g = l - 182\/3. Which is the closest to 0? (a) -4 (b) g (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6218 + 13803. What are the prime factors of n?\nAnswer: 5, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 n when three letters picked without replacement from {x: 2, e: 1, p: 3, n: 4, i: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/o**(-5\/3)*o)*o*o*o**(-2)*o*o*o**6\/(o*o*o**5*o) assuming o is positive.\nAnswer: o**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 651 + -342. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -194254612*g**4 - 60058121*g**2 - 1.\nAnswer: -4662110688*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**3 - 3*r**2 - 7*r + 19210. Is n(0) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -148756 or -148944?\nAnswer: -148756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 - 0.11. Let j = -257 - -256. What is the nearest to j in 1\/6, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 515 - 516. Sort 4, d, -2, -7, -4.\nAnswer: -7, -4, -2, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-60) - (-7)\/(-3) - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-1) - 3\/((-36)\/74). What is the nearest to -4 in 2, b, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = 1741 - 1796. Let y be ((-8)\/5)\/((-1)\/5). Let a(x) = x**3 - 7*x**2 - 7*x + 7. Let h be a(y). Solve 3*j - g = 4*g - h, 25 = -u*j + g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 + 21 = -8*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0408 and -13?\nAnswer: 13.0408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**3 + 2*s**2 - 6*s + 1. Let b(i) = -6*i**3 + 7*i**2 - 19*i + 4. Calculate 2*b(m) - 7*y(m).\nAnswer: 2*m**3 + 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 2*o + 556, -2*z + 106 = -3*z - 3*o. Which is the smallest value? (a) 2 (b) -4\/7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 2*w - 2*w + (0 + 1 + 0)*(25 - 4 - 3)*(-6 + 6 + 8*w).\nAnswer: 143*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*n**3 + 12*n**3 + 15*n**3)*(78 - 78 - 7*n).\nAnswer: 49*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*a - 32*a - 253 + 261.\nAnswer: -81*a + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 2:15 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 3*f + 21 + 10 - 52.\nAnswer: 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 676, 0, -5.35, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/608 and -22\/697889.\nAnswer: 22332448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-2)*(-1194)\/(-995). Let g(r) = 19*r. Let a(z) = 37*z + 1. Let b(t) = 3*a(t) - 7*g(t). Does 13 divide b(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 636 divide 1016804642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in 9, 3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 54*f**2 + 3*f - 1. Let w be a(3). Suppose 5*d - 25 = 2*r, 32 = 3*d + d - 4*r. Suppose -w = j - d*j. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 + 0*u**2 + 8*u**3 + 2*u**2 - 2*u**3 - u**3.\nAnswer: 2*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 884.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d + 3*d - 5*d + (4 + d - 4)*(0 - 3 + 1) - 2*d + 3*d + 0*d + 0*d - 4*d + 6*d + 4 - 4 + 2*d + (5*d + 0*d - d)*(4 - 5 + 2).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, a: 1, c: 14, o: 2, p: 1}. Give prob of picking 1 p and 1 o.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.474 take away 192.8686987?\nAnswer: -190.3946987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -588*((-627)\/(-57))\/(-132)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -40003 (base 5) to base 4\nAnswer: -213013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 551638570 to the nearest integer?\nAnswer: 23487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*p - 32 = 123*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + s + 3*s)*(-3 + 1 + 1) + 0*s + 2*s - 4*s - 4 - 2*s + 4 + (-1 + 5 - 3)*(-112*s + 15*s - 22*s).\nAnswer: -125*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 16*n**2 - 61*n - 18. Let o be d(-19). Calculate the greatest common factor of o and 417.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(143)*-1*1)\/(sqrt(275)*2).\nAnswer: -sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (0 + 3 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 52\/507*9\/(-30)*-5. Factor -4\/13*b**4 + 0*b**2 - u*b**5 + 0*b - 2\/13*b**3 + 0.\nAnswer: -2*b**3*(b + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9592049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 8*i + 45 = -2*i. Calculate the smallest common multiple of i and 1263.\nAnswer: 3789","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(4\/(-37)) - 4. Sort -3, o, -5 in increasing order.\nAnswer: -5, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, 0.3, 3, -0.24, 3\/5, -2, -250?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*f + 122*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-382)\/(-5) + 4\/(-10). Let i = -259 + 331. Let f = c - i. Solve 5*m + 11 = -f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11516157 is divided by 1153?\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -35. Let z(b) = -m*b + 1 - 10*b**2 + 11*b**2 - 4. Let w be (1 - (-9)\/(-15))*15. Calculate z(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*(75\/(-30))\/(17515\/452).\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.021 + 0.915. Let q = -0.064 - s. What is the nearest to q in 0.07, 2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**5 + 21*f**4 + 9*f**3 - 53*f**2 - 33*f + 3. Let m(y) = y**5 + y**4 + y**3 - y**2 + y + 1. Let h(u) = -l(u) + 3*m(u). Factor h(i).\nAnswer: 2*i*(i - 9)*(i - 2)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 6)*90\/120 - -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 119*h**3 - 9*h**2 - 27*h + 26711. Let f(d) = -58*d**3 + 6*d**2 + 14*d - 13356. Let y(u) = -5*f(u) - 3*z(u). Differentiate y(w) with respect to w.\nAnswer: -201*w**2 - 6*w + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d**3 - 2*d**2 + 11. Let t(x) = -3*x**3 - 3*x**2 + 9. Let i(y) = -2*m(y) + 3*t(y). Determine i(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 3*h - 16, -2*d + 4*h - 24 = -68. Suppose 9 + 83 = o. What is the lowest common multiple of ((-12)\/14)\/(d\/(-98)) and o?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12217*k**3 + 3053*k**3 + 3055*k**3 + 3056*k**3 + 3054*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -118*y + 130. Let v(c) = -13*c + 177. Let o be v(14). Is t(o) a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416 is divided by 205.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 24420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 9*a**2 - 8*a + 64. Determine p(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -163 - -224. Calculate the remainder when y is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -386795, -386797, -386801, -386807, -386815, -386825, -386837?\n\"Answer: -r**2 + r - 386795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(14\/7))\/((-2)\/(-1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13212*v**3 - 6604*v**3 - 6610*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 18, 5.\nAnswer: 1, 3, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 a when four letters picked without replacement from aaadaddaaddadd.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o + 10*o**2 - 4*o)*(-10 + 10 - 2*o) to n*o + t*o**2 + l*o**3 + s and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3050*a**4 - 65*a**3 - 69485271*a**2.\nAnswer: 73200*a - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**3\/3 + v**2 - 3*v. Differentiate i(p) wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 10989266922.457\nAnswer: -10989266930.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 4*y**2 - 6*y + 4. Let s be l(-5). Suppose 2*q = 27 + s. Let u be 63\/q + (-1)\/2. Solve n = -2*d - 0*n + u, 0 = 2*d + 2*n - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.19 and -26.34.\nAnswer: -5.0046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 f when four letters picked without replacement from {t: 10, f: 3, e: 2}.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -14970000 to the nearest one hundred thousand.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5679097 to three dps.\nAnswer: -1.568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -703, -708, -715, -724, -735, -748, -763?\nAnswer: -780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*(-10 - 918\/(-85)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + (1 + 3 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.085 + -0.075. Let s = -0.3 + -0.7. Let v = 1 + s. Which is the smallest value? (a) w (b) -2\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**5\/8 + 3*c**4\/8 + c**3\/8 - 7*c**2\/8 + 1\/2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**3\/6 - m**2 + 7*m. Determine s(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 0 + 24*j - 2\/3*j**4 + 0*j**3 + 0*j**2. Let a(y) = -29*y - 23*y + 60*y. Determine f(a(q)).\nAnswer: -512*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -61*l**2 - 6*l + 6. Let j(v) = -11591*v**2 - 1139*v + 1139. Give -6*j(h) + 1139*k(h).\nAnswer: 67*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, 4, -1 in increasing order.\nAnswer: -1, 4, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3766 + 3754)*-2*(-101)\/8. What is the third smallest value in 7, 0.2, p?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 267412116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + -3 + 0 + sqrt(5) + 3.\nAnswer: -1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7909038 and 1265823?\nAnswer: 3141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13906514 by -3.\nAnswer: 13906514\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 384 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 754?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v - 8. Let l be j(-9). Find the third derivative of 4*m + 6*m - 3*m**2 - l*m + 4*m**4 wrt m.\nAnswer: 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkqqxnknnkkfnn. Give prob of sequence qnkn.\nAnswer: 20\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -270409 divided by 2808.\nAnswer: -270409\/2808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 10\/(-15) - (-32)\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 9*i + 66, -6*i - i + 31*k + 32*k - 19 - 21 = 58*k for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 1 + 4)*(6*f - 6*f + 7*f)*(49 - 4*f - 49) as y*f**2 + t + u*f and give y.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-3)*(-36)\/(-15). Suppose 4*d - 6 = d. Let r = d - i. Let p(w) = -2*w - 2. Determine p(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8661512*-0.2.\nAnswer: -1732302.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (92*s + 163*s - 2*s)*(5 + 0*s + s + 0*s) as b*s**2 + p*s + d and give b.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.2 - 0.8. Let o = -4904 - -34330\/7. What is the second biggest value in o, 0.3, q, -3\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (25\/(-5) - -30). Does 14 divide (-2 - (-2)\/3)\/(a\/(-1443))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14987.\nAnswer: 7, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/11609 and -49\/1388777.\nAnswer: 1240177861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -46997*n + 8506453. What is s(181)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1345*f**2*v + 969*f**2 with respect to v.\nAnswer: -1345*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5861*a**4 + 1611*a**2 - 5147*a**2 - 4911*a**2 wrt a?\nAnswer: -140664*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 254.34 + -28.34. What is the closest to -1\/3 in -1\/7, -2, g?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (351 - 83 - 82)*(-2*n**2 - 3 + 3) + 4 - 1 + n**2 + 0*n**2.\nAnswer: -371*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -4.2. Let y = 2 - w. Let d = -32 + 32.3. Which is the third biggest value? (a) 0.2 (b) y (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 275704.\nAnswer: 5\/275704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -4, 2\/844009827, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*y**2 + 16*y + 1 wrt y.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 + 3*o**3 + 36*o**2 + 79*o + 0*o**3.\nAnswer: 2*o**3 + 36*o**2 + 79*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*z**2 + 24*z**2 - 5*z**2.\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - i - 4 + 9, 0 = 5*l - 4*i - 7. Solve 5*h = -l*g, -4*h + 3*h + 2*g = 13 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 62*p - 29*p + 14*p**3 - 3*p + 4*p**2.\nAnswer: 14*p**3 + 4*p**2 - 94*p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 22*o + 1. Let p be v(22). Let q(k) = 85*k**2 - 4*k + 5. What is the units digit of q(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 12071 - 12071.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 2*w + 0*w)*(-5 + 3 - 8*w + 4*w).\nAnswer: -8*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 50*m + 12*m**2 - 55 - 2*m**3 + 3*m**3 + 58 + 4*m**2. Let j be r(-4). Let f(c) = 2*c**2 + 4*c. Let n(h) = 3*h**2 + 9*h + 1. Give j*f(u) + 2*n(u).\nAnswer: -4*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2473221890 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135850, 271698, 407546, 543394, 679242, 815090?\nAnswer: 950938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + sqrt(13) - sqrt(13))**2 + 1 - ((sqrt(13) + (sqrt(78)*2)\/sqrt(6))**2 + (sqrt(1300) + 0)**2).\nAnswer: -1417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 414488 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 16*g + 5. Let b(z) = 4*z**2. Determine b(h(u)).\nAnswer: 1024*u**2 + 640*u + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126 + s**2 + 2*s**2 - 126.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 5*m, -2*d + 0*d + m = 0. Let x be (2\/18 + d)*-2. What is the nearest to -2\/3 in 5, x, 1\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77 + 122. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-19 + 16 - (-4 + -1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q + 16 = 18*q. Suppose -4*o - 10 = -3*l, q*l + o = 6*o + 13. Solve u + u = l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**5\/60 - 5*p**4\/12 + 5*p**3\/2 + 5*p**2. Let j be h(-11). Differentiate 5*d - 3*d - 5 + j + 0 wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k = -14*k - 35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + -1 - sqrt(7))**2*-1 - sqrt(448))*3.\nAnswer: -24*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2113 + -123010?\nAnswer: -120231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1513 + 123 = 217*k + 3167 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 4.5, -2\/153 in descending order.\nAnswer: 4.5, 0.5, -2\/153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -341555 (base 6) to base 3\nAnswer: -1110200222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3988 and 951564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2393794, -1, 5, -3.\nAnswer: -2393794, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66.62 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 + 129. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, 1, -2\/5, 2\/7, 1651 in decreasing order.\nAnswer: 1651, 1.6, 1, 2\/7, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -5, -2\/5, 4\/11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmm. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -115 - -127. Solve -z - 4 = 2*k, -3*z + 0*z - i = 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -170 - 0.7\nAnswer: -170.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3287 + -3283. Solve -w + a*r + 4 = 11, 6 = 2*w + 2*r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -389, -973, -1781, -2807, -4045?\nAnswer: -5489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(4500) + sqrt(45) - sqrt(3645)*2.\nAnswer: -21*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5621257*l - 5621188*l = 2622 for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1573) + -1*(sqrt(1573)*-1 + sqrt(1573)) + sqrt(1573) + sqrt(1573) - (sqrt(1573) + sqrt(1573) + 1 + 5)) + -5 + 1*sqrt(1573) + 4)**2.\nAnswer: -528*sqrt(13) + 6436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 375967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 9293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 260865942, 260865946, 260865952, 260865960, 260865970, 260865982?\n\"Answer: u**2 + u + 260865940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/9, -239, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 212273731?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*z = 0. Let c be (-1 - (-2 - -6)) + z. Let n(k) = 3*k**3 - 6*k + 4*k**2 - 3 + 1 - 2*k**3. Give n(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11331667 is divided by 6285.\nAnswer: 6097","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.9 and -0.0533.\nAnswer: 0.8467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -132 + 181. Suppose -3*x + 3*c + 12 = 0, -3*x - 5*c = x + 11. What is the smallest common multiple of x and z?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 1:51 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 57919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 15. Let o(c) = -c**2 + 9*c + 5. What is the units digit of o(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**6\/60 + 41*k**5\/120 + k**4\/2 + 2*k + 1. Let t(l) be the third derivative of q(l). Differentiate t(z) with respect to z.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/7 (b) -1\/2 (c) -3 (d) -51 (e) 1\/2 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebyy when four letters picked without replacement from albbabybylbeyylbba?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*v + 40, 2*k + 0*k - 5*v - 16 = 0. Let b = k - 4. Suppose -b*r = -6*r + 18. Solve -x - 8 = -3*p, -2*p - r + 37 = 5*x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-4))\/(-3)*481\/(-156)*-12*-4?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -155\/8 (b) -0.008 (c) -8 (d) -0.3 (e) 0 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(720))**2 - 2*(sqrt(5) + 1 + -1) - (2 + sqrt(20)*1 - ((sqrt(5) - sqrt(20)*-2) + 0 + sqrt(80))).\nAnswer: 5*sqrt(5) + 11518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2646.983 to the nearest 10.\nAnswer: -2650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540763 is divided by 254.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 16 = -8. Let y be (-4)\/(-14) - (-90)\/(-21). What is the units digit of (o\/12)\/(y\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126453 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*d - 20 = 0, -a - 3*d = -2*d. Let v(q) = 37 + 24 + 26 - 89. Let k(b) = b + 5. Let o(c) = a*v(c) - 2*k(c). Let l(j) = -8*j**2. Calculate o(l(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + s = -m - 41, 3*s - 47 = -5*m. Suppose 2*k - 6 - m = 0. Calculate the least common multiple of (-1 - 4) + 3 + 4 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0019? (a) 1\/6 (b) -88 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 2)*(-1)\/(-9).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 0 + 0)*(8*n - 2*n - 16*n + 4*n**2) to the form o*n + k + u*n**2 + r*n**3 and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**3\/3 - a**2 + 2. Let u be w(8). Suppose -4*z - u = -4*v + 4, -v + 3 = -3*z. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 4)*(-6*f**2 + 4*f**2 + f**2)*(-2*f + 0*f + f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2 - 6*j - 1. Suppose -5*o + 24 = -8*o. Let b(q) = 5*q**2 - 9*q - 2. Let m(g) = o*u(g) + 5*b(g). Suppose -x + 4 = x. Calculate m(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3 + 262*x**2 - 10670*x + 127050 = 0.\nAnswer: 21, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 1\/25*i**5 - 1\/15*i**3 + 13 + 0*i + 1\/20*i**2 + 0*i**4 - 1\/60*i**6. Factor o(f).\nAnswer: -f*(f - 1)**3*(f + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -272, -1285, -4036, -9395, -18232, -31417, -49820?\nAnswer: -74311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41820161\/801 + 52210. Let y = m - 1\/178. Suppose -3*v + 3 = 6. Are y and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 10*u - 6. Let q(n) = -4*n**3 - 6*n**2 + 5*n + 3 + 1 + 3. Let k be q(-3). Suppose -k = 7*w + 24. Calculate h(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1955, 7991, 18127, 32387, 50795?\n\"Answer: 4*z**3 + 2026*z**2 - 70*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-192)\/15232*(-2)\/5. Are 1 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 7:13 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x - x + (-1 + 1 - x)*(1 + 2 - 1) - x + 3*x - x + x + 0 + 0 - 6*x + 2*x + 3*x - 119*x - 47363 + 47363)*(-1 - 2 + 2).\nAnswer: 121*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.226997 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1cb + -3d?\nAnswer: 18e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 - 44. Solve -3 - w = -2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1398600 to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -4 (c) 1\/2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*w + 1418 + 241 = -12*w for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2601470 - 265.8.\nAnswer: -2601735.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76261 + -152523\/2. Let f = 920\/3 + -304. Which is the closest to f? (a) t (b) -0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s - 293 + 341 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -33 + (-22 - -8)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by 18202\nAnswer: -13\/9101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 0 (b) -43 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -153.94 + 218.53. Let j = z + -4.99. Let r = j - 60. Round r to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 333604903 and 5663.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -108 + 0*h**3 - 92*h + 0*h**2 + 88\/5*h**5 + 0*h**4. What is the derivative of t(x) wrt x?\nAnswer: 352*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 11:02 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24185 or 0.1?\nAnswer: -24185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 9, 2\/5, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.91 - -4.09. Let h = -0.2126 + r. Round h to 3 dps.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**2\/2 + 4*g + 1. Let w(l) = -7 + 24 - 11 - 8. Let u(m) = -m**2 - 26*m - 151. Let n be u(-17). Give n*r(x) + 5*w(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1597 * 0.23.\nAnswer: 0.036731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4868754?\nAnswer: 2, 3, 11, 71, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 378 and 5481.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58824 is divided by 7200.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/27 + 101\/9. Let t = 8 + 14. Calculate the highest common divisor of v and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1843 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -486020*u + 1672. Let y(s) = 1742*s - 6. Determine 3*w(z) + 836*y(z).\nAnswer: -1748*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222 - 14 = 70*n - 38*n - 36*n for n.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*w + 15*w - 2*w - 5)*(3 - 3 - 1).\nAnswer: -3*w + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-111)\/12 - -8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventy-two fifths of a kilometer?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-12)\/p*p*p\/p**(-4))\/((p*p**(2\/3)\/p)\/(((p**(2\/15)*p*p)\/p)\/p)))**4 assuming p is positive.\nAnswer: p**(-452\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -8*j**2\/5 - 44316*j + 1884008\/5 = 0.\nAnswer: -27706, 17\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - f - 6. What is x(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/(-400))\/((-2)\/(-15)*-3)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d + 108 = 15*d. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**4\/28 + 4*y**3\/21 + 5*y**2\/14 + 2*y\/7 + 19. Factor m(q).\nAnswer: (q + 1)**2*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*n, -4*l + n - 49200003 = -0*n. Round l to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 26.76943 kilograms?\nAnswer: 26769430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**4\/3 + 6362*l**3\/3 - 7496*l**2\/3 - 3606392*l\/3 - 4632992 = 0.\nAnswer: -3182, -21, -4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 6*n + 10. Let q be v(-7). Find the second derivative of q*s**3 - s**3 + s - s**5 - 2*s**3 wrt s.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.129030864810805 and 4.\nAnswer: 4.129030864810805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4168 + -175.\nAnswer: 3993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 3*u**2 + u. Let h be q(-2). Let p(v) = 7*v**2 - 3*v - 3. Let y(a) = 7*a**2 - 2*a - 2. What is h*p(o) - 3*y(o)?\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.015 (b) 0.5 (c) -2\/11 (d) 2\/17 (e) -0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 0 + 4 - 7*x + 14*x + x**3 + 11*x**2. Let w be k(-8). Suppose -s + 5*s = w. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19206 and 118146?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/15 + 52*g\/15.\nAnswer: -2*g*(g - 26)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/37 and -73\/111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m**2 + 1569392*m - 523130 = 0.\nAnswer: 1\/3, 261565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4121*w + 178549 = 3642*w for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*f**2 + 35 - 60 - 26*f**2 + 11*f**2 + 21 as b*f**2 + d*f + t and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -37395 (base 10) in base 11?\nAnswer: -26106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-4 + 10 + -9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -2, 5 in decreasing order.\nAnswer: 5, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 550, 0, 115?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91 - -92. Let r be 2\/1*2\/4. Is r greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 973 = s, 0 = -3*y + 6*y + 4*s - 746. Suppose 3*j = j + y. Let w = j + -72. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1641*t**5 - 3587*t**2 wrt t.\nAnswer: -98460*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssz when three letters picked without replacement from {z: 1, s: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4870*w**2 - 16*w - 12. Let f be z(-12). What is f rounded to the nearest ten thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 9*w**2 + 11*w + 1. Let n(o) be the first derivative of 5*o**3\/3 + 3*o**2 + o + 63. What is -5*n(p) + 3*q(p)?\nAnswer: 2*p**2 + 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**3 + 270*m**2 + 3900*m + 6760 = 0. Calculate m.\nAnswer: -26, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -117*d + 88*d + 203. Solve k = -6*k - d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/8, -5, -1, -12, 5, -62, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*r**2 - 10*r**2 - 18*r**2.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -466577*p**3 + p**2 - 543450*p wrt p.\nAnswer: -2799462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -555815*h**4 - 8*h**3 - 2*h - 67744784?\nAnswer: -2223260*h**3 - 24*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**4\/4 + 7*f**3\/3 + 7*f**2\/2 + f - 137. Give n(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -42, 2556.\nAnswer: -42, 4, 2556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/23, -3\/4, -1, -2\/11?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a millennium?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -442, -425, -408, -391?\nAnswer: -374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 5*g - 2 + 11, -4*g + 52 = 4*h. Suppose -5*t + 81 = 51. Solve -t = 5*o + h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-30) + (-291)\/(-15). Suppose 0 = 3*u - 3*b + 8*b - 7, 3*u = -2*b + d. What is the remainder when 15 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 + -0.24. Let z = -6.9 + 7. What is the closest to 1\/3 in s, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1287, -2566, -3845, -5124?\n\"Answer: -1279*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 2\/15*k**5 - 1\/10*k**6 + 0*k - 5\/3*k**3 - 2*k**2 + 0 + 0*k**4. Let o(s) = s**3 - s**2 + 1. Determine -a(p) - 10*o(p).\nAnswer: 2*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = 3*w + 4*s - 1687, -2*w + s = -1057. Calculate the highest common divisor of 48 and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11628, 11630, 11632, 11634, 11636, 11638?\n\"Answer: 2*n + 11626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**3\/3 + 7*v**2 + 9*v + 14. Let g = -18 + 26. Let i be c(g). What is i rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -626*x + 121404 = -623*x. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5200 divided by -4.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 99*f**2 + 9118*f + 926. What is m(-92)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6988 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 6248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/201 and -1\/15?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 - 25*p**2 + 2*p + 15. What is y(-12)?\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(-736*z**2 + 24233 - 24233).\nAnswer: -1472*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/5)\/(22\/(-3) - -7). Let s = 167\/30 - p. Let u = -2\/113 - -244\/1017. What is the closest to s in -1\/5, -1\/8, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70641 (base 12) to base 4\nAnswer: -203222101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**2\/5 + 6*w\/5 + 8\/5 = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-12) - (-9)\/(-27)*-1.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.44 + 0.34. Let s = 206 - 1856\/9. Which is the closest to 1? (a) s (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -3 - (-159)\/(-6)*-2. Suppose -3*t - f - 4*f = -35, 2*t - 2*f = v. What is the lowest common multiple of t and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 9*v. Let o(u) be the second derivative of 25*u + 0 + 0*u**2 + 1\/6*u**3. What is o(n(w))?\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 118\/(-649) - 1313\/(-22). Which is the third smallest value? (a) u (b) -0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 5*c**2 - 8. Let x(k) = 3*k. What is x(i(y))?\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7391416061.\nAnswer: 7391416061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -10. Let w = p + -3. Let c = w - -16. Calculate the smallest common multiple of c and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.5 + 1.5. Let r = -2 + c. Let f = r - -4.1. What is f rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7927*i**3 + 15*i**2 + 3*i + 20. Let r be l(-12). What is r rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7567346.\nAnswer: 2, 17, 131, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -269, -2192, -7425, -17624, -34445?\n\"Answer: -276*i**3 + i**2 + 6*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 + 73. What is the greatest common divisor of q and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13 + -1 - ((-15089)\/(-2101) + (-4)\/22). Solve -y + 2*q + 6 - z = 0, -5*q = 2*y - 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3609 is divided by 55?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08398 - -0.01602. What is the biggest value in -1, 3\/8, 2\/7, -0.07, m?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/32104488 and 151\/33540.\nAnswer: 160522440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2 - -3 - (16 + 1)) + -3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7\/4 - -5\/2. Let u = -0.031 - 0.169. Let m = 0.5 - 0.4. Sort q, u, m in descending order.\nAnswer: q, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2826, 3, 2, 25, -3 in decreasing order.\nAnswer: 25, 3, 2, -3, -2826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 0 + 7 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 4*c**2 + 4. Let y(h) = -h**2 - 17*h - 1. Let k be y(-17). Let v(x) = x**2 - x + 1. Give k*w(a) + 4*v(a).\nAnswer: a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-8))\/(2\/(-4))*0. Suppose 2*v - 6*v + 2*r + 108 = m, v - 18 = -4*r. Suppose -6*j = -4*j - v. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -0.017762.\nAnswer: -2.017762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -192216938*y**3 + 459947225 wrt y.\nAnswer: -576650814*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r**2 - 73*r + 174. Calculate t(16).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00054454 to five decimal places.\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 + 4*u - 2. Is k(4) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44156008?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 3 + 2\/21*m**3 - 1\/7*m**2 + 0*m. What is n in z(n) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2261 divided by 1\nAnswer: -2261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 11. Let j be u(8). Suppose -7*y = 5*y - 60. Suppose -j*r + 36 = -r - 5*q, y*r - 152 = -3*q. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.5 - -14. Let s = 2.5 + c. Which is greater: s or -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, h: 5, w: 3, z: 2}. What is prob of sequence hr?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(25)\/sqrt(5) + -2 - sqrt(5) - (sqrt(15)\/sqrt(3) + -1)))**2 - (sqrt(7200) + sqrt(7200)*-1)\/(sqrt(40)\/(2*sqrt(4)))*-6.\nAnswer: 4*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 28*j**2 + 28*j + 30. Let r be d(-27). Let b be -28*5\/(-40) - r. Solve -b*z**5 + 5\/2*z**3 - 1\/2*z**2 - 4*z - 2 + 1\/2*z**4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 705, 704, 701, 696?\n\"Answer: -v**2 + 2*v + 704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 3*a + 3*g + 7, 5*g + 20 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + (27 - 27) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*c + 22, 13 = c - b - 12. What is the remainder when c is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/105*(-3)\/6*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2256 and 1976568.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 5\/(-3) - (-16)\/(-6). Which is the nearest to -7? (a) 2 (b) -2\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**5\/60 + b**4\/8 + b**3\/3 - 2*b**2 - 102*b. Let a(d) = -d**3 - 2*d**2 - 4*d - 3. What is -2*a(r) - 3*x(r)?\nAnswer: 2*r**3 + r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-8) + (-57)\/(-12). Suppose 4*g - 65 = -5*d, 2*d = -8*g + n*g + 33. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -780, 3.988?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2*p - 4)*(17 + 153 - 6)*(-1 + 2 - 2 + (6 - 4 + 0)*(1 + 2 - 2) + 6 + 2 - 18) to the form u + n*p and give n.\nAnswer: -2952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2 - 2*c - 26. Let d be a(-11). Let l = -706 + d. Let g = 356 + l. Does 23 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, 12, 0.2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 0, 49, -4, 3, 5, -1 in decreasing order.\nAnswer: 49, 5, 3, 0, -1, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 27. Suppose -v + 16 = -4*b - 59, 2*v = -2*b - 30. Let x = b - z. What is the lowest common multiple of 4 and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Let t(k) be the third derivative of 0*k**3 - 1\/168*k**8 - 4\/105*k**7 - 1\/15*k**5 + 0*k**4 + 0 - 1\/12*k**6 + k**r + 0*k. Factor t(n).\nAnswer: -2*n**2*(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -1 + (-34 - -34) + 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2298.1332ns in minutes?\nAnswer: 0.00000003830222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59065 - -23975. Is 3\/(l\/9224 - 9) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o - 2. Let r be u(-4). Suppose -15*z + 40608 = 126*z + 3*z. What is the highest common factor of r and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4409284 and 28336?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1867960.24 to the nearest 10000.\nAnswer: -1870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4289, 14264, 29917, 51260, 78305, 111064, 149549, 193772?\nAnswer: 243745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 8:16 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 815431031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2580061.9 rounded to the nearest 100000?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -342792.2 to the nearest ten thousand.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 40383\/(-1617) + 4\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**3 - 3*t**2 - 2*t. Let x(g) = 14*g**3 + 15*g**2 + 11*g. Let u(q) = -11*p(q) - 2*x(q). Let k(m) = -2*m**3 - m**2. Determine -11*k(f) - 4*u(f).\nAnswer: 2*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 6 + -1 + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-102)\/(-15) - (-2)\/10. Suppose -2*z = -4*d - 34, -b*d - 37 = -3*d - z. Is -9 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 128 in descending order.\nAnswer: 128, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4, 4*u - 209 = -2*l - 21. Let n = 99 - u. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 9*m**3 + 33*m**2 + 17*m + 33. Let y(c) = 4*c**3 + 16*c**2 + 8*c + 16. Let u(a) = 3*l(a) - 7*y(a). Calculate u(-13).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -6 + 1 - (1 + -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*a - 50. Suppose -5*u + a*u = 45. Let x be -70 + (-6)\/u*-3. What is x rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/11 + 19064*o\/11 - 10392 = 0. What is o?\nAnswer: 6, 9526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-1)*(4 + -1). Suppose 4*o + 497 = g - 4*g, 12 = x*o. Let n = 376 + g. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - 49264*t - 492240.\nAnswer: -4*(t + 10)*(t + 12306)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2\/13, -5, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 10 - 12*z - 3*z**2 - 2*z**3 + 20 + 9*z to the form l*z + f + g*z**2 + a*z**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -8*z**3 - 10*z**2 + 4*z + 1. Is n(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 47813*m**3 + 2*m**2 + m + 4. Let v be s(-4). What is v rounded to the nearest 100000?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468537060?\nAnswer: 2, 3, 5, 7808951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (4 - 0) + -3 + (-42 - -25) + 60?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) 249 (c) -3\/7 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12534443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 5:36 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 4*m**2 - m - 2. Let j be w(-4). Solve -13*b**2 + 4*b**3 - b**3 + 16*b**j = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1098000 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qeqx when four letters picked without replacement from {x: 1, q: 2, e: 9, d: 2}?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*((-6*-1*sqrt(150))\/(1*sqrt(5)*-6))\/(sqrt(20)\/(sqrt(4)\/sqrt(2))*1*-6).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 35058*q - 337. Is k(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37\/2 or -2?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 9*i = b - 8, -4*b + 14 = -2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 784, 3581, 8360, 15121, 23864, 34589?\n\"Answer: 991*m**2 - 176*m - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 9*w + 1. Let n = -26 + 17. Let t be o(n). Let p = -5.06 - -0.06. Put -0.4, t, p in increasing order.\nAnswer: p, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6170000 to the nearest 100000.\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-1 - -1)) + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24269884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 2, 0.4, 0.34, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 158856 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 - (-13 + (29 - 13)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137795*z**3\/3 - 314974*z**2\/3 + 78772*z\/3 - 8\/3 = 0.\nAnswer: 2\/19685, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 17413527*j + 174135570.\nAnswer: -3*(j - 10)*(j + 5804519)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1464 - 0?\nAnswer: 1464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**3 - 2*g**3 - g**4 + (-g**2 + 3*g**2 - 3*g**2)*(3*g**2 + 0*g**2 + 0*g**2) + 4*g**4 - 6*g**4 - 9*g**4.\nAnswer: -15*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 52735 - 105467 + 52733 - 1089*c as i*c + m and give i.\nAnswer: -1089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 - 76*v**2 - 625*v - 23. Give w(-26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of u**2\/2 - 57. Let f(v) = -2*v. Give f(s) + r(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -91372507*a**2*b + 571690135*a**2 + 3*a*b wrt b.\nAnswer: -91372507*a**2 + 3*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 4*m + 2068 = -2071 + 4133, -5*m + 19 = -2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 770857, 770859, 770861, 770863, 770865?\n\"Answer: 2*g + 770855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -15*l - 6. Let x be r(-4). Let m be 1*(-6)\/9*-3. Suppose 3*w + v + 4*v - 69 = 0, 0 = m*w - 3*v - 27. What is the greatest common divisor of x and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48380 and 2124?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 2*z + 11. Give f(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3515367 and 0.3.\nAnswer: -1054610.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 839715 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -2, -5, 70 in descending order.\nAnswer: 70, 4, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 312856, 311601, 310346, 309091?\n\"Answer: -1255*i + 314111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 868\/207 (c) 1\/3 (d) 3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3398 >= 3390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 650682953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (528\/6)\/(-22) + 8598\/10. Is b != 855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 21. Let n be z + (-72)\/20 - 4\/10. Suppose n = -2*l + 5*f + 77, -5*l = 5*f + 71 - 281. List the prime factors of l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -33\/1259?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17689933 a multiple of 388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1082 + -1082. Which is greater: c or -2\/2079?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 357510143\/664 - 538419. What is the common denominator of t and -63\/4?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*w + 9*w**2 + 7*w - 4*w wrt w.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*p = 24*p - 36. Let h(j) = -j**2 - 2*j - 4. Let o(b) be the third derivative of -b**5\/60 - b**4\/8 - 7*b**3\/6 - b**2. Determine p*o(a) + 5*h(a).\nAnswer: -2*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/9 and 23\/20391?\nAnswer: 61173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7 + -54522.\nAnswer: -54521.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14218559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (5698*c - 9294*c**2 + 4650*c**2 + 4642*c**2)*(-4 + 6 + 6*c + 0) in the form m*c**2 + r + p*c**3 + h*c and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*z, v - 5*v - 5*z = -12. Let s be v\/36 - (-6)\/(-27). Let d(o) = -o**2 - o + 6. What is d(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.2 - -6. Let g = 11.6 + -12. Put 0.4, g, c in decreasing order.\nAnswer: 0.4, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**4\/12 + x**3\/6 + x**2 - 2*x. Let d be b(-2). Let u = d + 13. Calculate the remainder when 47 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: What is the product of -0.92 and 0.05?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/3 - 246\/(-9). Suppose 0 = 22*m - 23*m - 7. Let i(n) = 5*n**2 + 35*n + 28. Let v be i(m). Calculate the greatest common divisor of v and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 148.8 - 163. Let i = 14.1 + z. Is -4 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3298 and 24004?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -272, -647, -1124, -1697, -2360, -3107, -3932?\nAnswer: -4829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -31*l**5\/4 + l**4\/6 - 31*l**2\/2 + 32*l + 3. What is the third derivative of u(t) wrt t?\nAnswer: -930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 685147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*a**2 + 0 - 3*a**2)*(0*a**2 + 0*a**2 + a**3).\nAnswer: -a**5 + a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j, -25 = -4*d - 5*j + 95. Solve 24 - d = -i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/2 bigger than 165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11652, -11487, -11212, -10827?\n\"Answer: 55*d**2 - 11707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 - -35. Suppose -g + 0 = -4*r + 21, 5*r = s*g + 35. Find the third derivative of -x**2 - 5*x**2 + 8*x**4 - 4*x**4 - 5*x**r wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1\/3)*a)**(-5\/2)*(a*a**5)\/((a\/a**(-1\/3))\/a))**(-5\/3))**25 assuming a is positive.\nAnswer: a**(-500\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 15*z**2 - 17*z + 19. Let w be d(16). Suppose 4*h - w*r - 183 = 3*h, 5*r - 835 = -5*h. Is 18 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 46731 + 147*k**2 - 46731 as u + b*k**2 + h*k and give b.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 1 + 19 = -2*v, -5*w + v = -23. Suppose -2*r + w*r = 4. Solve 5*t + 5*s + 20 = 0, r*s - 6*s - 17 = 5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 78514*u + 2590966. What is r(-33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/26304 and -53\/765.\nAnswer: 6707520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17\/213 + -25415\/852. Let g = t - -1079\/36. Let v = -1 - -2. Which is the closest to v? (a) 1 (b) -1\/6 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 l when two letters picked without replacement from {l: 3, v: 2, b: 3, j: 1, m: 2, k: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u + 29*u = -189. Suppose 2*z - 107 + 2 = -5*s, -5*z + u = 2*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*x - 50*x + 1104 = 0. Let p = -112 + x. Let d = p + -62. What is the lowest common multiple of d and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxk when three letters picked without replacement from xxxkmjkktt.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - g - g - 16 = 0, 5*g + 5 = -3*b. Let z(h) = -1. Let m(x) = -x - 7. Let f(r) = -m(r) + 5*z(r). Give f(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*w - 5, 0 = 3*w - 2*w + 1. Solve -3*k - 8 = -c*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 235318 - 235120 + 2*g.\nAnswer: g + 198","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.8 + -39.\nAnswer: -24.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 + 12*q + 18*q - 25*q**2 - q**4 + 23*q**2 - 28*q - 186 as t*q + s*q**2 + u*q**4 + v*q**3 + w and give w.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 5*z**3 + 24*z - 7*z**3 + 2*z**4 + 79*z + 2*z**2 - 8*z**3 + 18*z**3 in the form o + v*z**4 + s*z + l*z**3 + y*z**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 7*c**2 - 7*c. Let p be f(8). Let w(z) = -2*z**2 - 4*z**2 + p*z**2. Let x(d) = -d**2 + 3*d**2 + 3*d**2. What is x(w(l))?\nAnswer: 20*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 6:27 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32 * -0.09.\nAnswer: 2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-12))\/((3\/(-36))\/(5\/10)). Is 120\/91 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9, 3, -25, -87, -195, -361, -597, -915?\n\"Answer: -2*f**3 + f**2 + 5*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 20 = -0*v - 3*q, 2*q - 14 = -3*v. Let t(o) = -2*o**2 - o. Give t(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t. Suppose 5*g + 10 = -5*w, 2*g - 4*w + 10 = -0*w. Let z = g + 5. Let s(f) = 0*f + z*f - 3*f. Calculate s(v(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.6962233ns to minutes.\nAnswer: 0.000000000044937055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 546, 552, 558, 564, 570, 576?\n\"Answer: 6*d + 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (111\/10)\/(24\/10) - 5. Sort 5, 2\/13, t, 0.5 in descending order.\nAnswer: 5, 0.5, 2\/13, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - ((-1368)\/(-44))\/(-6). Put -0.4, x, -2\/15 in descending order.\nAnswer: x, -2\/15, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -176*d**3 - 22 with respect to d.\nAnswer: -528*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.843 + 384.843. Let d = n + -382.82. Is -0.1 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/((-20)\/(-8)) - 130116\/(-14). Let b = 13407 - r. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14344 = -26*z + 2296. What is the least common multiple of 320 and z?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -221.9946 to the nearest integer.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*n + 881 - 737 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -7. Suppose u - 3*c - m = 0, 3*u - 5*c = -0*u + 5. Let b be (u - 0\/2)\/2. Solve 3*k - 2 = 2*w, 5*w + 5 = -5*k - b*k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*t + 20*t + 2*p = -5, 0 = -3*t + 4*p + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + -1 + sqrt(1700) + ((sqrt(119)*1 + sqrt(119))\/sqrt(7))**2 - -5*(1*sqrt(1377))**2.\nAnswer: 20*sqrt(17) + 6952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163317952.\nAnswer: 2, 7, 107, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2780042.979 + 2778563. Let n = 1479 + v. What is n rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1586 or -3173\/2?\nAnswer: -3173\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + 0*w**2 - 4*w**2 - 3*w**2 - 3*w + 3*w + (-3*w - w**2 + 3*w)*(0 + 1 - 2) - 1 + w**2 + 1)*(-6*w**2 - 12*w**2 - 12*w**2).\nAnswer: 90*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/4? (a) 5 (b) -1\/15 (c) 0.08 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -353*t - 96*t + 40949 - 40949. Let i(l) = 2*l. What is i(p(u))?\nAnswer: -898*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 259, 4, -106 in descending order.\nAnswer: 259, 4, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 11:29 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/4)\/(-5)*0. Let w(a) = y - 3*a + 0. Let h(k) be the first derivative of -k**3\/3 - 11. Calculate h(w(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 336530\/(-150) - (-9 - -3). Let v = g - -2243. Calculate the common denominator of v and -82\/33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f**2 + 51*f + 9. Suppose -34 = -2*i + 5*a, 3*i - 17 = 3*a + 16. Is g(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 8, 5*f = a + 3*a. Let p be ((-20)\/(-240))\/(5\/60). Calculate the common denominator of 121\/12 and 89\/(100\/a*p).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence up when two letters picked without replacement from {p: 2, m: 4, f: 6, u: 3, x: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 123*q + 778. Let n be b(-6). Solve 0 = 2*k + 6*k + n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(108\/864*((-540)\/8)\/5)?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -0.4, -4\/3, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 + 16*h**2 - 20*h - 11. Calculate t(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6.1, -0.4, 0.14, -12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 8*n - 9. What is r(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95510?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -14. Suppose 3*l = 15, 19*l = 2*p + m*l - 2. Sort 2, p, -3, -1 in descending order.\nAnswer: p, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 410070 or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 6*t + 12. Suppose 5*h = -24 + 29. Is (-1)\/(t\/(-384)) - h 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 255812?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 5.33\nAnswer: 10.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 14. Let c be q(11). Suppose 5*d = -3*x + 6*x + 74, x + c*d = -34. Let u be (-6)\/(-2) - (-12)\/6. What is the biggest value in x, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 18, 65, 162, 327, 578, 933?\nAnswer: 1410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**0*n)\/((n*n**(2\/19))\/n))\/(n**(-7\/3)*n**(-13)) assuming n is positive.\nAnswer: n**(1039\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -59445753100 to the nearest 1000000.\nAnswer: -59446000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -9. Which is the biggest value? (a) o (b) 1 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.06, -24\/17459.\nAnswer: -24\/17459, 0, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126985 and 2507.\nAnswer: 2920655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1839*i - 3350*i - 102*i in the form t*i + p and give t.\nAnswer: -5291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2788\/3 (b) -2\/15 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 + 1 - 115*a + 0.\nAnswer: -115*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**2 + 2331*r - 5815 = 0.\nAnswer: 5\/2, 1163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -28*f - f**3 + 1 + 11*f + 6*f**2 + 16*f - 4*f**2. Let v be a(2). Which is bigger: v or -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43854 divided by -5.\nAnswer: -43854\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -46.198906 and -2.\nAnswer: -48.198906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3*x*x)\/(x**(-7\/8)\/x) assuming x is positive.\nAnswer: x**(55\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + (-10 - 1 - -11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 361 = 3*g + 2665, 0 = g - 5*r + 768. Let f be 3\/(-5) - g\/30. Solve -4*b = b + f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.182 and -81346339.06236?\nAnswer: 81346338.88036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3)*2*435\/1015.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -80, 0.\nAnswer: -80, -2\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 10119.42 grams?\nAnswer: 10119420000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4841887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -764000 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 1020*p + 86700.\nAnswer: 3*(p + 170)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12715 = 262*q - 7095 - 5080 for q.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44687649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4. Let t(c) = -427*c + 22. Determine 5*g(s) - t(s).\nAnswer: 427*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7 + -0.7. What is the nearest to -1\/3 in -0.2, 0.5, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 451 + -451.3. Let g = 0.03 + 3.97. Let t = 4.01 - g. Which is the second biggest value? (a) t (b) 2 (c) -1\/2 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 38*a - 28. Let i be (1 - 2)*(0 + 1) + 26. Is 29 a factor of r(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 193, 395, 615, 865, 1157?\nAnswer: 1503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33.56 - 33. Let d = -0.16 + l. Let y be (-1)\/(2*1 + -1). Which is the biggest value? (a) y (b) d (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3243 is divided by 191.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7959484 * -2\nAnswer: -15918968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + -1*sqrt(612) + 5 + sqrt(612) + sqrt(612)*2*-6)**2 + 1 + (6*-1*6*(sqrt(612) + 1))**2.\nAnswer: 14892*sqrt(17) + 868526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 284415181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4, 14 = -4*x - 5*w + 4. Let f = 400 + -250. Let r = -153 + f. Which is greater: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 2\/5, 2\/7, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/(-6))\/1)\/(2\/(-3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**5*j*j**(-2\/11))\/(j**(-3\/2)\/((j*j*j**(-2\/9))\/j*j*j)))\/((j\/((j\/(j*j\/j**(1\/3)*j))\/j*j)*j)\/j*j*j**(-4))**47 assuming j is positive.\nAnswer: j**(5101\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (6 + -10 + 10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/171*10*35\/28*1\/(-5).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378*z**2 - 376*z**2 + 0 - 8.\nAnswer: 2*z**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21\/5*l**2 + 0 - 3\/5*l**4 - 3*l**3 - 9\/5*l.\nAnswer: -3*l*(l + 1)**2*(l + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.8 plus 2748?\nAnswer: 2755.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5164322.\nAnswer: 2, 2582161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x + 30. Let s be o(9). Let j be ((-40)\/48)\/(1\/s*-1). Which is the biggest value? (a) -1\/3 (b) -5 (c) -4\/5 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 3*d + 5 + 8, -4*x - 4*d = 16. Does 9 divide 6*(x + (-22)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725477677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -531 and -3882416?\nAnswer: 3881885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -1037*k**3\/4 - 5708*k**2 - 31209*k - 540 = 0. What is k?\nAnswer: -12, -10, -18\/1037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.8? (a) -4\/3 (b) 6.6 (c) -6 (d) 0 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -4, 4, -1\/3, -8, 32?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 63\/(-126)*((-3)\/(-24))\/(-1)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - (2*sqrt(180) + sqrt(180))**2) + sqrt(5) - (4 + sqrt(15)\/sqrt(3))) + (sqrt(80)\/sqrt(4) - (1 + sqrt(720) + sqrt(720))**2).\nAnswer: -4505 - 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 2:20 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 14) to base 5\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 25. Let r = 2.471 + -0.471. Let g = 0.3 + -0.2. Which is the nearest to g? (a) 12 (b) z (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 1\/12*w**4 + 5\/6*w**3 + 3*w**2 + 0 + 3*w. What is s(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 240.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -26. Let s be 2\/c*2*-6. Let m = 0.28 - -0.02. What is the third smallest value in 5, s, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k - 63. Let b(l) = -l + 21. Let p(i) = 6*b(i) + y(i). Give p(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8660679 years in centuries?\nAnswer: 0.008660679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/sqrt(8) - 3*1*sqrt(25))\/(sqrt(80)\/(sqrt(4)*3) - sqrt(20)).\nAnswer: 15*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -807 - 913 - 11 + 449 - 563 - k.\nAnswer: -k - 1845","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 109?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, h: 1, m: 2, b: 10}. What is prob of sequence mb?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j + 2 + 0*j - 12 + 1. Does 2 divide s(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a hour?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/((-48)\/360).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6588964 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7*28\/343)\/(238\/(-49) - -4). Suppose -c*s + 4\/3*s**2 + 0 - 2\/3*s**3 = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-30)\/(-120)*(-56)\/10\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 2. Let r be h(0). Calculate the lowest common multiple of 10 and 16 - (-3 - (-3 + r)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.6 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 times 0.122\nAnswer: 0.01464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - o + 2. Let k be q(0). Suppose 6*g + 3*a = 4*g - 15, -5*g = k*a + 10. Is g != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3142411.2 nanoseconds to hours.\nAnswer: 0.000000872892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 2*d + 17*d)*(-10*d - 14*d + 13*d**2 + 25*d).\nAnswer: 286*d**3 + 22*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 435593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -9*n**2 + 8*n - 15. Let y be x(5). Let z = 1003\/5 + y. Let -3\/5*i**2 + 0 - z*i = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1608\/(-3752))\/(6\/(-490))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 7*j**2 - j + 0*j + 3*j**2 - 3*j**2 - 3*j**2 + (j - 3*j + j)*(-5*j + 4*j - 4*j).\nAnswer: 9*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3357, -3352, -3347, -3342?\nAnswer: -3337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 186\/620 - (-49)\/(-130)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 - d**2 + 3*d - 3*d + d + 3 - 3*d**3 + d**2 to b + m*d**2 + p*d + c*d**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 46 + 71 = 5*n, 67 = -4*x - 5*n. Let t(o) = -1470*o**2 + 22*o + 136. Let d be t(x). What is d rounded to the nearest 10000?\nAnswer: -780000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -x + 3*x + 73, -x - 29 = z. Let f be x\/30 + 2\/5. Let h = -1.73 + 1.93. What is the closest to h in 1, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.77 - 4.553. Let x = j - 0.33. Let k = x + 0.11300056. What is k rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 265\/((-66250)\/35400)*15\/12*2\/(-6)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4, -5, -14, -37, -80, -149, -250?\n\"Answer: -l**3 + 2*l**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3130, -12520, -28166, -50068, -78226, -112640?\n\"Answer: -3128*p**2 - 6*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 3*n**5\/20 - n**3\/6 - 2*n**2. Let u be m(-1). What is the highest common factor of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84 + 127. Let i = l - 24. What is the remainder when i is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h = -23*h + 416. Let b = h + 253. Solve -10*l + b = -l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4 = r + 3*r, 0 = -5*r + 5. Suppose -3*y = 2*m + y - 494, -4*m - 2*y + 982 = x. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2\/15 + 9914*d\/3 - 16524\/5 = 0. What is d?\nAnswer: -24786, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -1 - (5 - 5) - (-155 + 291 + -113)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29166330?\nAnswer: 2, 3, 5, 19, 51169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 274430321*u**4 - 11830637*u**2 - 3*u - 4?\nAnswer: 6586327704*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 2. Let a be m(6). Let i = 2 - 7. Let k = a - i. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -r - 23, 5*g - 3 = 22. Does 20 divide 13434\/48*2 - r\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**3*m*w**2 - 221*j**3*w**3 - 2*j**2*m*w**3 + 193*j*m*w**2 wrt w?\nAnswer: -1326*j**3 - 12*j**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2027, -4050, -6069, -8084, -10095, -12102?\nAnswer: -14105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6238 is divided by 229.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -106 (b) 10 (c) -68 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + (-3)\/3)\/(-1). Suppose -g + 20 = y, 5*g + 44 = -x*y + y. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/38123 and -44\/390875119.\nAnswer: 390875119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2522683 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -213703 + 243840.7. Let l = 30105.6926 - p. Let h = l - -32. What is h rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (30\/4 + 3)\/(-34). Let b = n + -3677\/204. Let z = 3119\/152 + -492\/19. Find the common denominator of b and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*q**2 + 0*q**2 + 0*q**2 + (-3 + 3 - q)*(2*q - 2*q + q) + 2*q**2 - 1 + 1 - 15 - 2*q**2 + 15 + (-q + 2 - 2)*(5*q - 3*q - q) - 2*q**2 + 3*q**2 - 2*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 27 = -k. Let m be k*(0 + (-1)\/(-3))*190. Let r = m + 17. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121707 = -485*x + 476*x. What are the prime factors of x?\nAnswer: 13523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(500)*-1 - (-6*(sqrt(500) - -2*sqrt(500) - sqrt(500)) - sqrt(500)))\/(sqrt(324)*2 + 1*sqrt(64)).\nAnswer: 35*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15809\/5 + -158021\/50. Let y = w - -3\/25. Factor y*h**2 - 3\/2*h - 1\/2*h**3 + 1\/2.\nAnswer: -(h - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 775.417 - -24992?\nAnswer: 25767.417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 126 = -t - 13, 2*z + 53 = 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, -4, -6 in increasing order.\nAnswer: -7, -6, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 11:22 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(5\/2)*c\/(c**1*c)*c)\/(c**4*c**(-6)*c)*(c**(-4\/3)*c**(-1))\/((c**(2\/7)*c)\/c**(1\/6)) assuming c is positive.\nAnswer: c**(-83\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 0, 1\/2, -2, 0.04?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-eight fifths of a gram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 82, 3, 1, -66 in decreasing order.\nAnswer: 82, 3, 1, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1117)\/(-8))\/(10\/(-480)*-6) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1860689241?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 221 + -351. Is -129 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.71, -0.03, 5, 3, -5 in decreasing order.\nAnswer: 5, 3, -0.03, -1.71, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1566 and 14.73.\nAnswer: 23067.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**4\/9 + 74*g**3\/9 + 208*g**2\/3 + 1384*g\/9 + 832\/9 = 0.\nAnswer: -26, -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2 - 466*z + 16920 = 0. Calculate z.\nAnswer: 45, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 9*h**2 - 11*h - 7. Let u be o(-8). Let x(c) = 3*c**3 - 17*c**2 - 20*c. Let j(b) = -b**3 + 6*b**2 + 7*b. What is u*j(z) + 6*x(z)?\nAnswer: z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23, -36, -59, -92?\n\"Answer: -5*v**2 + 2*v - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 + 5*u + 8. Let p be c(-3). Suppose 1052 = -12*g + p*g. Does 5 divide 0 + g\/(-36) - 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - i**2 - 9*i + 66. What are the prime factors of j(-12)?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45772 = 31*l + 43256 - 594916. List the prime factors of l.\nAnswer: 2, 3, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13233 - 264771\/20. Calculate the common denominator of 11\/36 and h.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/180 and -113\/9196440?\nAnswer: 27589320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -12*o + 511. Let q = -7 + 10. Suppose q*b + 54 = 3*l - 0*l, 4*l - 3*b = o. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 8)\/((-6)\/(-4)). Suppose l = -0*l - 2*s + 67, 0 = -j*l - 5*s + 274. Calculate the remainder when l is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12480 and 43485?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*t*x**2 + 7*t*x - 302*t - 61*x**3 - 2*x - 1 wrt x?\nAnswer: 28*t - 366*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*z - 2*z - 0*z + 20 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -400\/9 (c) 0 (d) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 549 in 3, 3\/22, -0.022, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 35\/2. Sort -1, -2\/7, l in descending order.\nAnswer: -2\/7, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 8:42 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*k**2 + 8438 + 8558 + 8554 - 25555.\nAnswer: -102*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from ywtooojotytmwtoowmm.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2195.1 + 2351. Let f = s - 181. Let a = -25.0999877 - f. What is a rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, -10.57, 0, 4\/5, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3581 + 7334 + 673*n - 3753.\nAnswer: 673*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6427 - -9343. Suppose 40*i - p = 2004. Calculate the remainder when i is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*d - 23, 0 = -5*d + 3*d - 10. Suppose -4*p - 3 = o*m - 1, 9 = 3*p + 5*m. Let s = 0 + -2. Is p greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + a + 5. Determine o(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 1507 and 1508 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6575707 or -6575705?\nAnswer: -6575705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60060?\nAnswer: 2, 3, 5, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011233606 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16545?\nAnswer: 3, 5, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - sqrt(143)*1)*-6 - -6*(sqrt(143) - 1*sqrt(143)))\/(sqrt(11) - sqrt(132)\/(sqrt(12) + (1*sqrt(12) - sqrt(12))) - sqrt(88)\/(sqrt(8)*-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o + 265. What is i(47)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 3*p - 8. Let c = 2 + -9. What is the remainder when 57 is divided by g(c)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105463.162 rounded to the nearest 1000?\nAnswer: 105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**3 + 12*x**2 + 12*x + 7. Let r be f(-3). Which is greater: r or -10.54?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -2)*4\/(-4). Suppose v = m*v + 2. Is -2 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 - b + 81 + 145 + 493.\nAnswer: -b + 633","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75714321?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 j when four letters picked without replacement from {j: 2, b: 6}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19669 + 29020. List the prime factors of l.\nAnswer: 3, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(2\/3)*q*q)**(35\/2)\/(q*q**(-4)*q**0))**(15\/11))**(-42) assuming q is positive.\nAnswer: q**(-42315\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 210012 + 12342?\nAnswer: 222354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -11. What is the units digit of 2\/(o + 354\/117)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 1:22 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5644.35 + 5645.150126. Let f = 406.5 - 407.3. Let g = f + t. What is g rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1601 divide 4855833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 8*f - 27. Let a be w(12). Suppose -5*x + 42 = 12. Suppose -v + a = x*v. Solve -1 = s + v*n, -4*s + 0*s + 2*n - 18 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -85 + 189. Let h = c - 39. Calculate the greatest common factor of h and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 149*h**3 - 186.\nAnswer: 447*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -83*s + 34. Let k be b(4). Is (7*(-4)\/(-28))\/((-2)\/k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1242\/3450)\/(6*(-1)\/(-10))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 385668 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7*g**3 - 96*g**2 + 172*g + 9. Give y(2).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - (-14 - ((-26 - -5) + 34)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + r + r)*(-3 - r + 3) + 14 - 11 - r - 4 + 2*r**2.\nAnswer: 4*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 167\/5, -1\/11, -4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819511839 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 161100743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 30, 131, 426, 1017, 2006, 3495?\n\"Answer: 17*p**3 - 5*p**2 - 3*p + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5690.\nAnswer: 2, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 3. Let c(z) = z + 6. Let j be c(-7). Let o be (4 - (j - -1)) + -3. Let h be o\/(-3) - 8\/12. Let m(f) = -1. Give h*b(u) - 4*m(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52.9 + 79392650.\nAnswer: 79392597.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21169\/16380 - 6\/455. Calculate the common denominator of w and 2\/(-4) - (-3025)\/(-900).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38 times -5253365?\nAnswer: -1996278.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -118*l - 164. Calculate x(-4).\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 - 4*a + 6. Suppose 17 = j - 3. Suppose 3*b + b = j. What is the tens digit of d(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*m**4 + 180*m - 105*m**3 - 135*m**2 + 80*m**4 + 35*m**2 + 20*m**3.\nAnswer: 5*m*(m - 18)*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**13*h)\/h**(-6))\/(h**10*h**(-1\/4)) assuming h is positive.\nAnswer: h**(41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -27*v - 511. Let k be c(-19). Calculate the highest common factor of k and 346.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -234 * 1223.\nAnswer: -286182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a*k*l*z - 85*a*l**2*z - 2*a*z - 42*a - 8*k*l + 42*k + 2*z with respect to l.\nAnswer: -2*a*k*z - 170*a*l*z - 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 95731, 382943, 861631, 1531795?\n\"Answer: 95738*g**2 - 2*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 105755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12592 divided by 1574.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**2*s*w**2 + 100*a**2*s*w + a**2*s - 2*a**2*w - a*s*w**2 + 63*a*s + 2*s*w**2 + 4*s*w - w wrt a?\nAnswer: 4*s*w**2 + 200*s*w + 2*s - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 1, -1\/7, 17, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 7 - (-14 + 14). Solve 5*h = h - 4*c + 4, 5*h - c = -o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - v. Suppose 7*l - 3*l = 0. Let c = -1 - l. Let s(x) = x**3 + 2*x**2 + 3*x. Determine c*s(d) - 3*y(d).\nAnswer: -d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + 12 + -8 - 8) + -7 - 16.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 481 divide 929773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*k**2 + 10*k**3 - 38*k**3 + 101*k + 2 + 14*k**3 - 17*k**2 to the form r*k + n*k**3 + y + d*k**2 and give r.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 1 + 0*t**4 + 0*t**3 + 0*t**5 + 0*t - 1\/2*t**6 - 1\/2*t**2. What is the second derivative of p(o) wrt o?\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5083*k - 462312. Determine h(-91).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/59? (a) -54 (b) -1 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 23.9. Let v = -3.993 - 0.007. Put t, v, -4\/5 in decreasing order.\nAnswer: -4\/5, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1120 (base 3) to base 9\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 54\/(-9) - (-38)\/(-19). Sort 75, 0, s in ascending order.\nAnswer: s, 0, 75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, l: 12, a: 2, w: 4}. Give prob of sequence la.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + c8?\nAnswer: bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21815774.\nAnswer: 2, 1567, 6961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1312 = -5*t + 2*t + 8815. List the prime factors of t.\nAnswer: 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 663071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6162556 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 9 + 55. Solve -3*l = -n*l - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 11\/78278?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -118.56 + -1.44. Let x = 124 + o. What is the third biggest value in 2\/17, -0.052, x?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 873574 is divided by 886.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*f - 78*f + 315*f - 147*f - 37.\nAnswer: 3*f - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/9667 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 272.007 microseconds in hours?\nAnswer: 0.0000000755575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(27\/(-14) - 27\/(-63)). Which is bigger: -14 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2419 or 2421?\nAnswer: 2419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4776 = 74*t + 780. Solve t = 16*z + 22 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16418 - -16486.894. Let s = 82 - 13. Let x = d - s. What is x rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 182 - 175.5. What is q rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -51. Is (1762\/p - 1) + (-8)\/(-56) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 68 - 1 - 16\/(-6 - -2)?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6751738 divided by 1.\nAnswer: 6751738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (88 - 109 - 40) + 3?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/7 - 143460*l\/7 - 2572596450\/7.\nAnswer: -2*(l + 35865)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2420, 4852, 7312, 9800, 12316, 14860, 17432?\nAnswer: 20032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 670 - 629a?\nAnswer: -572a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*g + 312 = 26*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170 a factor of 5111730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w - 16 = -3*m, -2*w - 3*m = -13. Suppose -4 = -4*t - 5*q - 0, 2*t - q - 16 = 0. Let x = 20 - 23. Sort w, t, x in decreasing order.\nAnswer: t, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 502, 440, 338, 196, 14?\n\"Answer: -20*b**2 - 2*b + 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1506a8 + -170?\nAnswer: 150538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 1\/12, -2\/3, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -41, 1\/4, -3539?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1224.1 - 1224. Which is the third biggest value? (a) 0.4 (b) q (c) -5 (d) -9\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35365878 and 33?\nAnswer: 389024658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(5\/2)*u**(-7))**(-41)\/((u**(-1))**(-28)\/(u**(-4)*u*u\/u**(-1\/9))) assuming u is positive.\nAnswer: u**(2045\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 6 + -6 + (-58 - -19) + 9.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a day?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 23*t**2 - 41*t + 4. Let m(s) = s**3 - s - 2. Let u(b) = -2*m(b) - r(b). Find the second derivative of u(x) wrt x.\nAnswer: -12*x - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41379 and 3549.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.07 (b) -2 (c) 1 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 4*u + 29236, -4*a = u + 2*u - 23364. Suppose -24*g = -28*g + a. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 209 - (53 - (120 + -178))\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.3122 from 1182839157.\nAnswer: 1182839153.6878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 506 and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 5*l - 3*n + 112047 = 0, 5*l - 5*n = 140085. Suppose -13*m + l = 16*m. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1. Suppose -5*j + z*j = -75. What is the greatest common divisor of j and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1 + sqrt(176)*-1 + -2)*-5)**2.\nAnswer: 80*sqrt(11) + 4404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 11 = 5*w, 0 = -2*w + 2*u - 21 + 31. Suppose -w*y = 8 - 5, i - 1 = -4*y. Solve -5 = -i*t - 25 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9400.289 millimeters to meters.\nAnswer: 9.400289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*(0 + (sqrt(2) - (-5 + sqrt(2) + sqrt(6)\/sqrt(3))) - (sqrt(176)\/(sqrt(33)\/sqrt(3)))\/sqrt(8))**2.\nAnswer: -102 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6, 14, 70, 180, 362, 634, 1014, 1520?\n\"Answer: 3*j**3 - j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -14\/45, -0.3, -1, -15, -0.5, -2\/9, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (625*3 - 0)*-656. What is s rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -0.076, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 9*v + 8. Let u be y(-6). Let s be -3 - (-2 + 6) - -68. Calculate the common denominator of 4\/7 and u\/40 - s\/(-20).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-24)*(-144)\/(-270)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from ouf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2286093432 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -545 (base 11) in base 14?\nAnswer: -34a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(2*n**3 + 23 + 30 - 49).\nAnswer: 4*n**3 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -2589 in decreasing order.\nAnswer: -3, -5, -2589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 37 + 31*w - 7*w - w**2 + 21*w + 31 + 33. Let t(d) = -16*d - 34. Let s(z) = -2*l(z) - 7*t(z). Factor s(g).\nAnswer: 2*(g + 2)*(g + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 3:06 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1260))\/sqrt(5) + (sqrt(42)\/sqrt(54))**2*-4.\nAnswer: -28\/9 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1752)\/(-876)*1\/11\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 433455 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 288127577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 45*w**2. Let i(v) be the second derivative of v**4\/4 + 18*v. Give a(i(r)).\nAnswer: 405*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 5*z - 61 - 4, 11*z - 160 = v - 4*z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294 divided by -98.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -381 - -386. Let y be 26\/260 + (-8)\/n. Let g = 0 - -0.1. Which is the closest to g? (a) y (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 20083605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -3 + -4 + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*(1*sqrt(364) - sqrt(364) - sqrt(364))*-6)\/(sqrt(567)*-2*-3).\nAnswer: -20*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14592671 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7978, -15970, -23974, -31990, -40018, -48058, -56110?\n\"Answer: -6*t**2 - 7974*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -11. Suppose 0 = k - a*k - 59000. Round k to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 45*l**3 + 11*l**2 - 170*l - 17. Let y(v) = -16*v**3 - 4*v**2 + 55*v + 6. Give 4*s(q) + 11*y(q).\nAnswer: 4*q**3 - 75*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20090.\nAnswer: 2, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -527 + 981*m**3 + 527 - 54*m**3 + (12 - 10 - 3*m**2 + 4)*(-m + m + 3*m) in the form q*m + l*m**3 + a + b*m**2 and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 + 61. Let s be d\/(-3)*6*(-4)\/(-6). Let c be (0 - -2)\/((-2)\/5). What is the second biggest value in 2\/3, s, c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 475*z - 227*z - 12 - 214*z to l + t*z and give t.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-1) - 0 - 0. Let f be (3\/4)\/(1\/4). Suppose -y + 4*y = 3*s + 3, 12 = d*y + f*s. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = n + 7, -2*r - 2*n + 2 = 0. Suppose 4*g + u - r*u - 3 = 0, -2*u = 2*g - 6. Determine j so that 2\/7*j**g - 2\/7*j**4 + 0 + 2\/7*j - 2\/7*j**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.4553732 microseconds?\nAnswer: 455.3732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**3 + 22*z**2 - 23*z**2 + 3*z**3 + z**2.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -1. Let x = z - -9. Solve 3 = -x*g + 2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 28092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**2 + 10*k + 6. Let p be y(-6). Suppose p = 5*j + 2*z, 3*j + 6*z - 3*z = 63. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**3*g**2 - 217*d**3*g*l*n**2 + 2*d**3*l + 2*d**2*g**2*l*n + 19*d**2*g**2*l + 3*d*g**2*l*n**2 - g**2*l*n**2 wrt d?\nAnswer: 6*g**2 - 1302*g*l*n**2 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 744023531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -5, -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u**3 + 4*u**2 + 8*u + 5. Let a(r) = 6*r**3 - 5*r**2 - 9*r - 6. Give 4*a(x) + 5*g(x).\nAnswer: -x**3 + 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**3 - 24*v - 9*v**5 + 9*v**5 + 2*v**2 + v**5 - 14*v wrt v?\nAnswer: 60*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*g**3 - 7*g**2 + 5*g**3 - 11*g**2 - 1 + g - 14*g**3 to the form v + s*g**3 + o*g + d*g**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 439*c - 40843. Calculate p(93).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31423 - -251467\/8. Let b = -1351426 + 118922627\/88. Let q = b - -458\/11. What is the common denominator of q and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 9:59 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39918 = 2560*j + 31762 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 7\/4024725?\nAnswer: 7\/4024725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6799241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 807945 times -245\nAnswer: -197946525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 8:09 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 324114.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 - 12*u)*(-3 + 2 + 2) + u + 2 - 2 + (-5 + 3 + 0)*(1 - 1 - 2*u) - 5*u + 3*u + 0*u - 3*u + 0*u + u.\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -1396\/9 (c) -4 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.29 - -0.79. What is the closest to 0.1 in t, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**3 + 128*x**2 - 318*x - 136. What is y(-45)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 10*n**2. Let v(p) = 11*p - 12. Let o(m) = 154*m - 165. Let x(l) = -4*o(l) + 55*v(l). What is x(k(r))?\nAnswer: -110*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34529873.\nAnswer: 7, 17, 79, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -3\/2, -2778, 0.08, 5, -2 in descending order.\nAnswer: 5, 0.08, -0.5, -3\/2, -2, -2778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -3\/2*j**2 - 2 + 0*j. Let x(q) = -114*q**2 - 100*q**2 - 3*q + 3*q + 208*q**2. Determine x(n(s)).\nAnswer: -54*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3652364 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -16630.7794 rounded to the nearest 100?\nAnswer: -16600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2469 - -2260. Which is greater: a or -210?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101110111110 - -11?\nAnswer: 1001101111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 886675 is divided by 12486.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 736756260 divided by 6?\nAnswer: 122792710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 divided by 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3435289811?\nAnswer: 3433, 1000667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -147 (base 10) to base 3\nAnswer: -12110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1140 divide 1019267936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4 + m**2 + 4 - 7*m**3 - 2 + 5 - 3*m. Let a(c) = -4*c**3 + c**2 - 2*c + 6. Let l(z) = -5*a(z) + 3*b(z). What is l(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*a = 29, 8*a = 3*f + 3*a - 65. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + q + 31 + 19 = 0, 70 = 5*s - 5*q. Let c = -1454 - -1459. Solve -4*n - 2*m + s = 34, -c*m - 40 = 5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 10:19 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12664980 and 270.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202 - 385 + 395*d**2 + 3*d + 183.\nAnswer: 395*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 119 - 34. Round v to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqv when three letters picked without replacement from qppvpvppppppvppppppp?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-8)))\/(q*(q*q**(-1\/8))\/q*q))\/((q**(2\/67)*q)\/q*q**(5\/12)\/q) assuming q is positive.\nAnswer: q**(10739\/1608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 432767564?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*v + 783*v**4 + 455 + 34*v - 17*v wrt v.\nAnswer: 9396*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11589936073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - 172 + 12. Let x be 4 + 1 + (m\/(-28) - 4). Sort 5, x, -2, 2 in ascending order.\nAnswer: -2, x, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -21 + 1 + -1 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 - 328*a**3 + 529*a - 253*a - 276*a in the form h*a + w*a**2 + r*a**3 + j and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5743741 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(44\/(-8) + 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*9\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197677?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4219978246?\nAnswer: 2, 11, 191817193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 293651150?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4253147.\nAnswer: 4253147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 245272779, 490545554, 735818329, 981091104?\n\"Answer: 245272775*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/9 - 7\/(-3). Let q(l) = 2*l + 7 - 8*l - l**b + 0*l**2 - 4. What are the prime factors of q(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47\/6 - -43\/6. Let k = -1959\/11 + 179. Let j = k - 69\/88. Which is the nearest to 0? (a) j (b) 0.14 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h - 3*d = -31*h - 70, d - 38 = 5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 594, 2\/3, -2, -2\/11, -0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3706528 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 123702 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/5884 + -148591\/117680. What is the common denominator of f and -71\/112?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**1\/y*y)**(1\/12)\/(y\/(y*y**1*y)*y)**8)**21)**28 assuming y is positive.\nAnswer: y**4753","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.2 and 479.3025.\nAnswer: -1054.4655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 644, 1, 0 in ascending order.\nAnswer: 0, 1, 644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -336.77 * 3.6\nAnswer: -1212.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 24509 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p - 8168 = -21*p + 4*k, 0 = -p - 3*k + 2038. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/185 (b) 0.3 (c) 5 (d) 1\/2 (e) -3 (f) 152 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80*m**5 - 20*m**4 - 257*m**2 - m wrt m?\nAnswer: 4800*m**2 - 480*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 5*x - 3 + 13, -3*x = 6. Suppose d*w = -4*w - 8, -3*a - 2 = w. Suppose -5*j + 102 + 28 = a. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -248, 0, 3159, -1\/9, 5, 1\/5?\nAnswer: -248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 8*b + 1. Suppose 0*y - 3*y + 72 = 0. Calculate the remainder when y is divided by k(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 0*v**2 - v - 2 + 0 - v**3 - 3*v**2. Let q be w(-3). Suppose 5*b - q = 19. Solve -2*z + 2*l = -0*l - b, 0 = -4*z - 5*l - 28 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -305, -593, -881, -1169, -1457?\n\"Answer: -288*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/28*(-2)\/(-48)*84?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 6*n**2 - 3*n + 4. Let h be l(-7). Let y = h + -52. Calculate the remainder when 1 + 41 - (-3 - -3) is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 4. Factor -a + a - a**s + 0*a.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 13 + 80 = 28*u - 27*u + 4*c, -5*u + 18*c + 237 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/27 + 485\/(-90) + 5. Which is the closest to 3\/11? (a) 0.04 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 8) to base 5\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(3*sqrt(10) - sqrt(10))*2 + (-2 + sqrt(320))*-2 + 4.\nAnswer: -15*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19 * 1663.\nAnswer: -315.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.3 - -0.3. Let u = 1 + -3. What is the closest to 1\/4 in 1\/2, u, h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*z = -z - 65, -4*q + z = -184. Calculate the highest common factor of q and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -159.62 - -162.62. Let h = 0.1 - -0.4. Which is the third biggest value? (a) -5 (b) 0.01 (c) h (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 68) + 1 - (35 + -78 - -41)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 96, 148, 198, 246, 292?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 141011170 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -899234232.\nAnswer: -899234228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114298 (base 10) to base 5.\nAnswer: 12124143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 49*m**2 - 501*m + 1373. What is h(-32)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a = -4*a - 125 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (11 - 13)) + -11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 11010001?\nAnswer: 11010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j - 10*j + 2 - 6 - 8*j**2 - 3 - j**3. Let n be z(-7). Let c = n - -12. Let s(q) = -3*q**2 - 4. Let o(b) = 4*b**2 + 4. Determine c*o(a) + 6*s(a).\nAnswer: 2*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + m = 4*m + 708, 3*m = -2*o + 279. Suppose -5*d - 4*t = 11 - o, 61 = 3*d - t. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 5*y + 5. Let r = -18914 - -18921. Calculate d(r).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 789807.\nAnswer: 3, 263269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 817965?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgmth. Give prob of picking 1 h and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 4:32 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**4\/12 - k**3\/2 - 2*k**2 + 7*k. What is b(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z - 2*z + z + 5 - 3*z + 16.\nAnswer: 5*z + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 3\/11, 12\/11, -2, -4?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/10)\/3*5. Suppose z*g - 7 = 3*g. Let s(m) = -m**3 - 8*m**2 - 9*m + 4. Is 6 a factor of s(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**4\/6 + 2*k**2 - 45. Let c(h) = -22*h**2. Determine w(c(f)).\nAnswer: -88*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 565096 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-4))\/((-689)\/52 - -14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - 2. Let j = 12 + v. Suppose 0 = -2*o + 8, 4*o + 0 - 1 = 3*y. Solve l + 1 = j*a - 5*a, -4*a = l + y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 182867*a*j + 5*a*x - 275*a - 16855812*j*x with respect to x.\nAnswer: 5*a - 16855812*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1624 + -726. List the prime factors of s.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 5*p = -11, -944*z - 4*p - 38 = 927*z - 1869*z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/312*-10*112\/40*(-8)\/(-602)?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**2 + k - 2. Let u be 8\/6*12\/(-8). What is the units digit of i(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n + 3*n + 0 + 5 + 2*n. Let l(f) = -f**3 - 7*f**2 + f + 1. Let p be l(-7). Give h(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 80?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttn when three letters picked without replacement from knnkttnaktjtnt.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 64873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)\/(u**4\/u))\/(u**0)**42 assuming u is positive.\nAnswer: u**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1303?\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 78522 to the power of 1\/2, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123 (base 10) to base 9.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - x - x**2 + 6*x)*(27 - 27 - 10*x).\nAnswer: 10*x**3 - 20*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + -4*(2 + sqrt(1377)*2 + -5)).\nAnswer: -26 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.97429 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*m - 6. Suppose -549997 = i + m*c, 3*i - 2*c + 1650003 = c. Round i to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 4. Let o(a) = -i*a**2 + 0*a - 7*a - 6 + 3*a**2. Let d be o(-5). Solve l - d*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**4\/7 + 1822*a**3\/7 + 7774*a**2 + 96042*a\/7 - 152280\/7 = 0. Calculate a.\nAnswer: -27, -3, 1, 940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15288*r + 15265*r = 11739660. Round r to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from mbv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 24, -3, -1916, -2 in ascending order.\nAnswer: -1916, -3, -2, 1, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 + 10*z - 11. Give r(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -35*h + 2229. Let i be x(63). Solve -3*y = 4*o + 4, 4*o + 19*y - i*y = -36 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29941?\nAnswer: 79, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8774 is divided by 565.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5538 is divided by 5422?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-72)\/32)\/(-3))\/(24\/4).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(17) - (sqrt(17) - sqrt(68)\/((sqrt(64) - sqrt(4)) + sqrt(4) - sqrt(4))) - (sqrt(204) - sqrt(204)*1)\/sqrt(12))**2.\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -1 + -94 + 82 - -113) + -5 + 7.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/(-36) + (-161)\/18 and -77\/32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*c - 39 = 0, 2*q + c - 87 = -q. Let k be (24\/(-5))\/(q\/(-200)). What is k rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 42 - 24 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(2\/(-4))*-4. Let t = s + 13. Suppose -t*g = x - 12, 4*x - 21 = -5*g - 3. What is the lowest common multiple of 18 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 26 = 3*l. Let g = l + 11. Let q be 78\/8 - g\/(-16). Solve 0 = z + z - 5*k + q, 5*k = 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -54*f**2 - 1\/120*f**6 - 5\/12*f**4 + f**3 + 0*f + 2\/15*f**5 + 0. What is m(7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 35871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/2 + 314453*u\/2 + 157226.\nAnswer: (u + 1)*(u + 314452)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 greater than or equal to -374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 3*i - 2. Does 7 divide j(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = -21 - 39. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 87, 120, 81, -66, -357, -828?\n\"Answer: -6*i**3 + 75*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 25735 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20*(-10)\/(-175))\/((-15)\/(210\/92)).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*i*w**3 - 5*i*w + 2*i + 20*w**3 - 2*w - 30 wrt w.\nAnswer: 228*i*w + 120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -32*z - 171. Suppose f = -3*s - 28, s = -3*f - s - 63. What is the hundreds digit of r(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53444 divided by 212.\nAnswer: -13361\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in 248, 5, -3, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 10*i**2 - 9*i + 48. Determine u(-11).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -118390563.97839 - -118392212. Let h = -1648 + v. Round h to 3 dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.042728379967 - 0.\nAnswer: -0.042728379967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (306\/(-2499))\/((90\/35)\/(-6))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 69, 71, 73?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -493 divided by 1.\nAnswer: -493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5142 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 74, -1.66.\nAnswer: -1.66, -0.1, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 7*v**2 - 27*v + 34. Let u(r) = -6*r**2 + 27*r - 28. Give -5*m(n) - 6*u(n).\nAnswer: n**2 - 27*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 303 + -318 + -8 + (-3 - 22)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -213 * -5.3\nAnswer: 1128.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 239*q**2*v**3*y - 55*q**2*v**3 + 4*q**2*v**2*y - 4*q**2*v*y - 3*q*v**2*y + 26*q*v + v**3*y + v**2*y wrt v.\nAnswer: 1434*q**2*y - 330*q**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 9*d**2 + 9*d + 9. Let t(s) = -2*s**2 - 2*s - 2. Suppose -l = -0*l - 9. Let b = 311 - 309. Calculate b*k(x) + l*t(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + n = 902, 0 = 6*z - 9*z - 5*n + 910. What is the smallest common multiple of 12 and z?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/18)\/(((-76)\/18)\/19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1729\/5 + 346. Let g be (-17)\/15 + -1 + 2. Sort k, g, -0.2 in decreasing order.\nAnswer: k, g, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -46*o. Let t(n) = 19*n**2. Give m(t(i)).\nAnswer: -874*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.766 times 539.26\nAnswer: -413.07316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.171126384 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 42*p**2 - 7565*p + 905. Give o(180).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/5)*u)**(4\/5))**(-4\/39) assuming u is positive.\nAnswer: u**(-16\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26\/155 + 1\/31. Which is the biggest value? (a) n (b) -2\/17 (c) 0.3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1277, 2558, 3839?\nAnswer: 5120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5086 + 1?\nAnswer: -5085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 245127 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 - 12 = -9*q. What is the lowest common multiple of 50 and q?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385 is divided by 185.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 a when four letters picked without replacement from aaaaaaaaadaaa?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*m + 14, 4*f = -0*f - 5*m + 7. Suppose -5*t - 3 - 37 = -5*k, k - f*t = 0. Solve -k = 3*o, -4*y = 3*o + 41 - 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -25. What is the nearest to 1 in d, -0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5657 + 22296. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*b + 3 = -7, 2*f + 2*b = 8. Solve 0 = f*j - 2*j - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ba - -3?\nAnswer: bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 5*n + 8. Let d be z(-6). Suppose k - 1 = j, 4*k - 3 = d*j + j. Suppose 0 = -k*u + u. Which is the nearest to 2\/7? (a) u (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + -18. Let x = t - -36.973. Round x to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-4)*120\/105. Let n(i) = i**2 + 6*i + 5. Let r be n(-6). Put -4, 2, r, t in decreasing order.\nAnswer: r, t, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n - 15. Let i be l(-7). Suppose -5*t - 8 = 3*u - 2*u, -2*t = -u + i. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 121 (b) -2 (c) -4 (d) -7.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 + -43. Suppose s*c + 798 = -5*y - 331, 0 = -4*y - 12. Is -557 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34194233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*l + 6. What is the third derivative of -15*z**4 + 2*z**l - 3*z + 5*z**4 + 3*z wrt z?\nAnswer: -240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 55986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 5*o**3\/3 + 77*o**2\/2 - o - 32. Differentiate t(n) wrt n.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwzuuufwszsuufz. What is prob of picking 1 f and 3 z?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107647*q**2 + 131*q**3 + 107647*q**2.\nAnswer: 131*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 644 and -4?\nAnswer: -2576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + 22 + -15 + (-10 - (-2 + 4)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 551034.7 nanometers?\nAnswer: 0.05510347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 517549?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 47.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -4. Let c(j) be the third derivative of -j**6\/60 - j**5\/20 - j**4\/24 - j**3\/6 + j**2. Let p be c(-2). What is the closest to i in -0.4, 3, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 3*z - 15. Suppose -f + 0*i - 15 = -3*i, 0 = 5*f + 2*i - 10. Let h be n(f). What is the units digit of (-1127)\/h - 4\/30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-608)*-57 - (28 - 1) - 5.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t = 3*v - 368, -5*v = 3*t - 590. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4470)\/(-4023) + 3\/54*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 92*c**2 - 3. Let w(k) = -92*k**2 + 4. Calculate 4*p(i) + 3*w(i).\nAnswer: 92*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(90)\/sqrt(2))\/sqrt(9) - sqrt(5)) + (4*(-1 + sqrt(5)) - sqrt(55)\/sqrt(99)) + (4 + -2 + sqrt(245) + 2 + sqrt(245) + 5)**2.\nAnswer: 767*sqrt(5)\/3 + 1058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6589?\nAnswer: 11, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**2*g)**14*(((g*g**28\/g)\/g)\/g)\/g**9 assuming g is positive.\nAnswer: g**87","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 + 60.45. Let b = 4.45 + m. Let l = b + 0.3. Round l to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -232765.82 rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-6)*(-36)\/6. What is the third derivative of -3*u**t + 2*u**4 + 15*u + u**4 - 15*u wrt u?\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.81413 micrometers to meters.\nAnswer: 0.00001581413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -1003, 2\/5, 5, -5\/6, 0.09.\nAnswer: -1003, -5\/6, 0.09, 2\/5, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 99 - 117 = 0 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 175 + -705\/4. Find the common denominator of c and -71\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-2)\/2*(-238)\/6902)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -4. Suppose j = -5*q + 8. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-35)\/(-4))\/((-1)\/(-4)). Suppose -48*n - 315 = -49*n. Calculate the greatest common factor of n and i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1037463003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -10. Suppose -4 = a*l + 14. Let x(g) = g**2 + 4*g - 5. Determine x(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -31597 = -1086*y + 1528*y - 1983 for y.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 1:03 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -30506808.6 and 11.1.\nAnswer: -30506797.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 866.4 rounded to the nearest ten?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - 3. Let k = -21 - u. Let l = 6 + k. Solve l = -5*f - 10 - 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p**3 - 21*p**2 - 30*p + 5. Let u(o) = 7*o**3 + 20*o**2 + 31*o - 4. Let r(h) = 6*g(h) + 5*u(h). Does 10 divide r(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03554 - -146.66446. What is m rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*4835\/20*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5531.889m?\nAnswer: 5531889000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xm when two letters picked without replacement from {t: 2, d: 1, m: 1, x: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*k - 534 = -89*k. Calculate the remainder when 548 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1117 - 279 = 268*k + 748 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -399*m - 398*m + 2010*m - 401*m - 406*m - 405*m + 20*m**2.\nAnswer: 20*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 4*o**2 + 5*o + 12. Let s be m(-5). Let f(g) = -2*g + 19. Let p be f(s). What is the closest to 2 in -4, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l + 40. Let z(y) = 6*y - 81. Determine -5*k(r) - 3*z(r).\nAnswer: 2*r + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 + 3*a**3 + a**2 - 1 - a**2 + 3*a**2 + 7*a. Let j(s) = -2*s**3 - 6*s**2 - 6*s + 2. Let i(w) = 4*j(w) + 3*q(w). What is i(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*s + 54*s + 14259 = 529*s for s.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 5:49 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 0 (c) 7\/209 (d) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2678*d + 40. Let z(w) = -888*w - 14. Give -6*f(l) - 17*z(l).\nAnswer: -972*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 542*-1*(-1 - 0 - 0). What are the prime factors of t + (2 + -3)*-3?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1379*z - 1597 - 2727*z + 1347*z.\nAnswer: -z - 1597","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*w - 456*w = -228*w + 20 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/65184 and 57\/22.\nAnswer: 717024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a factor of 299280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1871667431 to the power of 1\/3, to the nearest integer?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 7:45 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 16) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.2719544kg?\nAnswer: 0.0002719544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/25 (b) 0.05 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*j**6 - 3*j**5 + j**2 + 10?\nAnswer: 2040*j**3 - 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**4\/4 + 4*s**3\/3 - 3*s**2\/2 + 6*s - 2. Let m be (1 - 0) + -3 + 2. Suppose -4*f + 2*u - 6 = 12, m = u + 1. Calculate n(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 1:24 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 - 43. Suppose 3*d + 14 = p*d + 4*f, -5*f = -10. Suppose 260 = d*n + y, -10 = -4*n + y + 346. Is 22 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0516 - -214.9484. Let b = 219 - m. What is the nearest to -0.2 in b, -2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3394 a factor of 55474930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 3*t - t)*(0 - 2 - 2)*(-2 + 0 + 1).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8\/1127 - -67516\/14651. Sort 1\/2, r, -5, 4 in decreasing order.\nAnswer: r, 4, 1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 922086 and 423?\nAnswer: 43338042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 186192*h + 744704.\nAnswer: 4*(h - 46544)*(h - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 4*u**2 - 24*u + 11. Let r be f(3). Let 3\/4*w**3 - 9\/8 + 3*w - 21\/8*w**r = 0. Calculate w.\nAnswer: 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (80\/48)\/(2 + 82\/(-42)). Find the common denominator of -125\/24 and (-417)\/120 + -1 + 49\/b.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + sqrt(68)\/(sqrt(16)\/sqrt(4)*3)).\nAnswer: -4 - sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.2 - 0.2. Let d = 590 + -595. What is the closest to -8 in o, -0.1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1242 - 509. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/(sqrt(5) + sqrt(1260)\/sqrt(7) + sqrt(5)))**2 - (sqrt(304)*-5 - (((sqrt(19) + 1*sqrt(19) - sqrt(19)) + -1 - sqrt(19)) + sqrt(19))).\nAnswer: -45\/64 + 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - -1509421658.\nAnswer: 1509421648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 2848?\nAnswer: -284a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f + 1. Let j be v(-7). Let t = -31 - j. Suppose 5517296 - 1227296 = -t*y. Round y to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000260091975 rounded to seven decimal places?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 7:55 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -155 - -159. Let z(j) = 4*j**2 - 3*j - 2. What is the remainder when 96 is divided by z(u)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5454501 - 1042?\nAnswer: -5455543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 854 divided by 229.\nAnswer: 854\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/7)\/(m\/(m*m*m\/(m*m\/(m*m**(-9)*m)))*m))\/((m*m**16\/m*m)\/m**(-8)) assuming m is positive.\nAnswer: m**(-234\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbb. Give prob of sequence bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - t**5 - 2*t + (5*t - 3*t - t)*(-2*t**4 - 2*t**4 + 3*t**4).\nAnswer: -2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-7 + 20\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-240))\/(2\/18)*16\/(-28)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 + 0*f**2 + 7*f + 2*f - 48*f.\nAnswer: f**2 - 39*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (0 - 2 - 10) - (-30 + 44)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000072 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**5\/20 - t**4\/6 - 4*t**3\/3 + 3*t**2 - 4*t. What is the remainder when h(5) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, b: 6, z: 4}. Give prob of sequence zbb.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000471252991 to seven decimal places.\nAnswer: -0.0000471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57321359?\nAnswer: 23, 227, 10979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 13*u**3\/3 + 2*u - 2. Let f(d) = 5 - 5 + 1169*d**2 - 1164*d**2. Determine q(f(o)).\nAnswer: 130*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -114656*u**3 - 17409*u**2 - 2*u - 2.\nAnswer: -687936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -2, -5, 5, 2, -2657?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8983967309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**5\/7 + 11462*y**4\/7 - 167644*y**3 + 26570592*y**2\/7 = 0.\nAnswer: -5832, 0, 34, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2321547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-253244 - 611*d + 253244)*(0*d + 12*d - 14*d) as i*d + o*d**2 + x and give o.\nAnswer: 1222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l - 202 - 3*l + 7*l + 202.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19911 and 5316237.\nAnswer: 5316237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**3 - 6*w - 9. Let n(g) = -g - 1. Let d(y) = -m(y) + 6*n(y). Let r(f) = 15*f**3 - 20. Determine -20*d(k) - 3*r(k).\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2289648.84 rounded to the nearest ten thousand?\nAnswer: -2290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1, 19, 23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 g, and 1 c when three letters picked without replacement from {n: 3, c: 3, g: 1, l: 3, o: 5}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**3 - 10*r - 1137 + 5*r**3 + 1135 to d + f*r**3 + a*r + c*r**2 and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1033426 is divided by 1262?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 53300, 0 in decreasing order.\nAnswer: 53300, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 0 - 10 + t**3 + 11 + 2*t. Let b(s) = -4*s**3 - 9*s - 4. What is -4*b(m) - 18*k(m)?\nAnswer: -2*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 49*y**2 - 44*y + 173. What is j(-48)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8734105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 9 + 7 = 0. Suppose 3*w = 3*n, n - 10 = -5*w - v*n. Is 26 a factor of (16\/40)\/(w\/195)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -15*x + 104. Suppose -3*p = x*m - 6, -4*m - 12 = -0*m. Which is smaller: p or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 u when three letters picked without replacement from nnnnnininuununinnann?\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -332042, -664024, -996004, -1327982?\n\"Answer: j**2 - 331985*j - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.83011 plus 3.66?\nAnswer: 4.49011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/77 and -38\/150731.\nAnswer: 1658041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/1701*-9)\/((-8)\/(-420)*5)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + (sqrt(190) - -2*sqrt(190)))*4*1)\/((1*sqrt(90) + sqrt(90))*-5).\nAnswer: -8*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 12*g - 2\/5*g**6 + 27\/20*g**5 + 0*g**2 + 0 - 3\/2*g**4 + 1\/2*g**3. Factor z(r).\nAnswer: -3*r*(r - 1)**2*(4*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 9 (c) 0.5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 533877.\nAnswer: 533877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 72 - 5*l**2 - 73 - 2*l**3 - 4*l**2 - 2*l - 8*l**2 in the form h*l**2 + q*l + k + a*l**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3168340 is divided by 1583483?\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 183586*v**2 + 431044*v?\nAnswer: 367172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 101*z + 84. Calculate the lowest common multiple of x(0) and 18.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -10.9. Let t = u + 1.1. Which is the closest to 0.1? (a) 2\/3 (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.093 + -0.093. Let t = -4.9 - -5. Which is the closest to t? (a) 2\/21 (b) -0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35892 is divided by 609.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3751 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*i**(1\/9)*i*i)\/i*i)*i*i*i\/(i*i*i**(-4\/3)\/i)*(i\/i**8)**(3\/2))**(8\/7) assuming i is positive.\nAnswer: i**(-668\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -58925.5 rounded to the nearest 100?\nAnswer: -58900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 20*b + 13*b + 5)*(2 + 2 - 1)*(1 - 1 + 5*b).\nAnswer: -105*b**2 + 30*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -44\/19 <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 + -20. Let s = 127 - 141.8. Let o = l + s. Which is the smallest value? (a) o (b) -2\/13 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412218 = 82*w - 100*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {v: 4, z: 1, m: 1, n: 1, t: 9, b: 1}.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 620385230 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31373.9 * 4.\nAnswer: -125495.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 3675.\nAnswer: 3675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 810 and 15?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 20*u**2 + 4*u - 21*u**2 - 4*u**3 - 4*u. Suppose 7*b + 5 = 2*b. Let s be t(b). Solve -o + s = 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 2*x - 54, 7504*t - 79 = 7508*t - 3*x for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/7)*h)**(1\/19))**(-1\/5))**(2\/159) assuming h is positive.\nAnswer: h**(-6\/35245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4185934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, e: 2, w: 1, k: 1}. What is prob of sequence kew?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*v**2 - a**3*v - 32*a**3 + 3285*v**2 + 9*v + 1 wrt v?\nAnswer: -2*a**3 + 6570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(0 + 2 + 1)*(1 - 2 - 2)*(4*g + 3*g - 5*g).\nAnswer: 36*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i = -6*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-195)*(-3)\/6*-6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-60)\/(-1 + 6) - (0 + -1). Let g(h) = h - 2. Let y be g(-9). Do y and s have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 795271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 15*l**2 - 30*l + 112. Let d be w(-17). Factor -d*h**3 - 23*h**2 + 2*h**2 + 0*h**4 + 56*h**3 - h**4 + 10*h.\nAnswer: -h*(h - 10)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -639+-16\nAnswer: -655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -0*y + 5. Calculate the smallest common multiple of y*(9\/(-3) - -5) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10879 rounded to the nearest one hundred?\nAnswer: 10900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/4*2286229804\/5. Let v = 417993680637619\/166210 - r. Let g = v + 2\/1511. Calculate the common denominator of -83\/26 and g.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -14*f - 45. Let b be g(-4). Let a(q) = 15*q**2 + b*q**2 + 6 + 10*q - 25*q**2. What is a(-11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13705 - -27413\/2. What is the nearest to -0.1 in r, -12, -0.1, 0.08?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -5. Let w(d) be the first derivative of 1\/6*d**t + 1 - 2\/3*d - 2\/3*d**3 + d**2. Factor w(q).\nAnswer: 2*(q - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45125035 (base 7) in base 11?\nAnswer: 2228508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 40*d + 1242. Let w be b(-31). Solve p - w*i = 0, 0*p = -2*p - 2*i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117 + 361. Let o = f - 231. Calculate the remainder when 70 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 19 = -16*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 6*l = -3*l - 4, 2*s = l - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/5)\/((-2)\/15) - (-1100)\/150?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**2 - 2. Let w(n) be the second derivative of -n**4\/12 + n**2\/2 - n. Let p = -11 - -10. Calculate p*q(y) - 2*w(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y - 11. Let p(r) = 7*r - 5. Let w(a) = -9*a + 5. Let f(n) = 5*p(n) + 4*w(n). What is -5*f(o) + 2*k(o)?\nAnswer: -o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 28, -19, -1, -5313 in descending order.\nAnswer: 28, 3, -1, -19, -5313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 137055?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.156 + -1.3. Let y = d + 17.444. Round y to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0321 + -0.0579. Let u be (-6)\/4*(-2)\/3. What is the closest to c in u, -2\/3, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f + 57*f**3 - 16*f - 59*f**3 - 25*f**2 + 25*f**2.\nAnswer: -2*f**3 - 28*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g + 628 + 2*g - 747)*(-10 + 7 - 14 - 17) to the form k*g + u and give k.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 135 times 13568\nAnswer: 1831680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -107 + 109. Suppose -2*l = o - 133, -4*o + 782 = w*l + 256. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -658*g + 5463 = -251*g - 3964 - 1969 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -120\/323 or -272\/35?\nAnswer: -272\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 15109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1217291.\nAnswer: 241, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**3 + 24*i**2 - 24*i. Let q be 5 + (24 + -5 - 11) + 11. Let c(z) = -z**3 - z**2 + z. Determine q*c(a) + u(a).\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7447993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c - 5*c + 22*c.\nAnswer: 28*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**3\/5 + 3903*r**2\/5 - 305484*r\/5 + 776896 = 0?\nAnswer: -3980, 16, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5509 - 3450. What is the highest common factor of p and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13573.\nAnswer: 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -798 = 10*r + 11*r + 36*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 427305?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 9:57 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, w: 7, r: 1}. What is prob of sequence jj?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -9817 at least -3.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -739 in -1413, 10, -2?\nAnswer: -1413","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**2 - 24210*t + 29306205 = 0 for t.\nAnswer: 2421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-81)\/(-6))\/(-3)*-10. Let p be 125\/s + (-2)\/(-9). Solve 0 = -q - q + 4*d + 2, d = -p*q + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -30 + 7 + (1 - -76150)?\nAnswer: 2, 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/((-27)\/(-9))*(-3106 - 5)?\nAnswer: 3, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**2 - 72*j - 387. Determine x(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 divided by 4.\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2032 - 22133210?\nAnswer: -22201302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.9 + -2.9. Put t, 3, -1 in descending order.\nAnswer: t, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38182.3nm to kilometers.\nAnswer: 0.0000000381823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u**(-4\/5)))\/(u\/u**(-3\/4)))**(-31))**(6\/17) assuming u is positive.\nAnswer: u**(1767\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -3*s + 1, 12*m - 5*s + 1 = 30 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 13*j**3 - j**2 - 2*j + 2. Let g = 13 - 11. What are the prime factors of l(g)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**7\/2940 + s**6\/252 - s**5\/105 - 23*s**3\/3 + 2*s - 6. Let v(j) be the second derivative of o(j). What is f in v(f) = 0?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609309289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2240 and 356480?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = z. Suppose 2*g = -z*g + 10. Is 3 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpkydox. What is prob of sequence xky?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffofffzffffhz. Give prob of picking 2 z and 1 h.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8784, -69210, -233376, -553152, -1080408, -1867014?\n\"Answer: -8645*w**3 + 89*w - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 161.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*b + 9*b + 155. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, n: 1, r: 1, l: 2}. What is prob of picking 1 r and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.21 (b) -2 (c) 4 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 22*x**2 - 17*x + 110. Calculate d(5).\nAnswer: 575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20615 + 12843151\/623. Which is bigger: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.54718 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -283615 in 0.1, 1\/32, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1884843*c**2*d**3 - c**2*d**2 + 2834*c**2 - 2*c*d - 25*d**3 - 2*d**2 + 2460*d wrt d.\nAnswer: -11309058*c**2 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-29)*f**23*(f\/f**4*f)**(-2\/33) assuming f is positive.\nAnswer: f**(-194\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/11 and 15\/(-12)*48\/78?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 88, 8, 5, -2?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 215*s**3 - 11 + 3*s - 223*s**3 - s**2 + 0*s**2 + 0*s**2 + 3. Let m(g) = 7*g**3 + g**2 - 2*g + 7. What is -6*b(i) - 7*m(i)?\nAnswer: -i**3 - i**2 - 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.01 or -7158341?\nAnswer: -7158341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -373408, -0.05?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -451, -2214, -5935, -12262, -21843, -35326, -53359, -76590?\nAnswer: -105667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (9 - 2) - 2) + -169 + 117.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/12*2*2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 914 is divided by 259.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66438 and 99657.\nAnswer: 199314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.6 - 4.4. Put -15, d, -1\/6 in ascending order.\nAnswer: -15, -1\/6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -25112*w**2 - 123*w + 45. Let q be s(15). What is q rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y. Let i(c) be the first derivative of -2*c**3 - 25. Calculate i(d(w)).\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 9, 4, 0.3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccsrrrccrkrcrrr. Give prob of sequence scr.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - 0*(-1)\/(-3). Suppose 0 = 5*q - n + 29, k*q + n = -4*n - 29. Let x(z) = z**2 + 5*z - 5. Give x(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*w = 0. Suppose w*x + 144 = 4*x. Let o(l) = -7*l + 82. Let b be o(10). What is the highest common divisor of b and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.08 + -0.38. Suppose -4*z - 12 = 5*h - 28, z - h - 4 = 0. Suppose 0 = -z*j + j. Are j and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(4\/3)\/z*z*z)\/z*z*z**(6\/11))\/(((z*z**(2\/5))\/z*z)\/z)**(10\/7) assuming z is positive.\nAnswer: z**(995\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 9*t - 9. Let g = 4 - -2. Calculate c(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*q + 3*d + 5, 0 = 4*q - 4*d + 12. Let k = 7 + -83. Let x be ((-1 - 2)\/3)\/(19\/k). Solve 0 = -0*j - q*j + x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20523.\nAnswer: 3, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 2. Suppose -2*y = -0*y - d. List the prime factors of (y + 1)\/2*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104 + -101 - (0 + (0 - -3)) - (21 - 29)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tr when two letters picked without replacement from hatlrddl?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + 209a588?\nAnswer: 209a581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 9:09 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + 0 + 0 + (3 - 5 + 1)*(a**3 + a**3 + 0*a**3))*(1 - 3 + 3).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111101011 (base 2) to base 15.\nAnswer: -b44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*z + 21 = -24*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*u + 4. Differentiate 4*c**3 + 3*c**3 - 1 - 4*c**u with respect to c.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 61051 - 5?\nAnswer: 61045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -27*v + 3. What is the lowest common multiple of 15 and p(-2)?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-1) - (-5365 + 5336)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 8*z**2 - 3. Let n be r(-8). Let t = -293 + 563\/2. Calculate the common denominator of (-3560)\/(-448) - n\/7 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*r + 4 - 2, 0 = -b + 1. Solve j + r*j + 2 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w. Let b be s(8). Solve 0 = -2*h - 0 - b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -22 (b) 4\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18938?\nAnswer: 2, 17, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n + n + n)*(3 - 4 + 2)*(2*n - 56 + 56) as d + o*n**2 + v*n and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - 4 - 2\/(-14). Which is the second biggest value? (a) o (b) -0.4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2318 divide 1833538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 908*c**2 + 19*c + 497. Let x(w) = -2723*w**2 - 54*w - 1490. Let q(f) = 17*m(f) + 6*x(f). Find the second derivative of q(y) wrt y.\nAnswer: -1804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - 20333344?\nAnswer: -20333403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -8*n + 4*n. List the prime factors of -1*-2*(1 + 144\/n).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 5. Let m be p(0). What is the common denominator of (-4)\/16 - (-32)\/m and (-1 + 72\/75)*145\/58?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 18\/5 of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 984624561.\nAnswer: 3, 2309, 47381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -6. Let p = 0.8 - 1. What is the third biggest value in 4, c, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 29 - 6)*(-2 - v + 2)*(4 + v - 4)*(8 - 1 + 20 + (0 + 0 + 3)*(-4 + 3 - 1)).\nAnswer: 693*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 1. Let j be q(1). Let k(i) = 81*i**2 + 2*i**3 - 26*i**2 - 28*i**2 - 26*i**2 - 2 + 0*i**3 - 3*i. Calculate k(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -372b (base 15) in base 2?\nAnswer: -10110111011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 2*k + 160, 289 = 5*v - 4*k - 108. Suppose -93 = -17*t + v. Put -1.1, -0.5, t in descending order.\nAnswer: t, -0.5, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3780 + -3780.2. Let k = -0.5 + 4.5. What is the closest to -5\/2 in 3\/4, k, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 303300134 (base 5) to base 15\nAnswer: 193d7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2237 - 2237. Let a = 12 + -12. Suppose -p - s - 46 = a, 0*s = -3*p - 2*s - 137. Put y, p, 2 in decreasing order.\nAnswer: 2, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 226644?\nAnswer: 226644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 7327292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o - 105. Let v(s) = 3*s. Calculate v(h(k)).\nAnswer: -3*k - 315","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56181 and 1228.\nAnswer: 224724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-3 - ((0 - -2) + -4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a centimeter in millimeters?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**3 + 2 + 2*l**3 - 4*l**3 + l**2 - l**2 - 2*l**3 + (3 - 3 - 2*l)*(-1 + 2*l**2 + 1) - 44 - 16*l**3 + 44 as k + r*l**3 + i*l + b*l**2 and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 - 4*z**2 + 3*z - 1. Let x be p(2). Suppose 4*k = -x*i + 80, -4*k = -5*k - 5. Let a = 46 - i. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30320 + 1001?\nAnswer: 31321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 5, 3, -10377 in decreasing order.\nAnswer: 5, 3, 0, -4, -10377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o - 40 + 22 - 4*o. Let n(h) = -h. Let c(u) = -d(u) + 2*n(u). Let s be c(14). Solve 9 = -s*l + l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/8 - 165\/(-12). Suppose -5*l - 10 = -5*d, 0 = d + 3*l - o - 0. Solve -d*j = 2*h - 3, 4*j + 16 = 2*h + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q**2 - 352*q + 1109. Give x(-73).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49 (base 14) to base 11.\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55854614 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 171579.9 * 18\nAnswer: 3088438.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000566659 to 7 dps.\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3685 - 36761\/10. Calculate the common denominator of (-15)\/(1350\/(-2595)) - (5 - 1) and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(9)\/sqrt(3))*-5 - (((2*sqrt(120))\/sqrt(5) + sqrt(24))\/((sqrt(64)*-1 - sqrt(64))\/sqrt(8)))**2.\nAnswer: -25*sqrt(3) - 127\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-39)\/2)\/((-15)\/130)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r = -8*r + 624. What is the smallest common multiple of 12 and r?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 375110539 to the nearest integer?\nAnswer: 19368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 3*j + j + 3. Let l be f(-3). Let r = -7 - l. Put r, 3, 4 in descending order.\nAnswer: r, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94445406 divided by -10493934\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*p**2 + 12 - 13*p**2 - 3*p - 21 - p**3.\nAnswer: -(p - 3)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 4*k**2 - 2*k - 1. Let f be h(2). Let s = 12 + f. Let l(r) = -3*r**2 - 128*r + 1482. What is the remainder when l(-52) is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222480.\nAnswer: 2, 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1360, 2739, 4140, 5569, 7032, 8535?\nAnswer: 10084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 525 = -1939. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.017 + 0.081. Let i = h + 0.236. Let w = 7 + -15. Is w not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 5. Let y be 3 - (0\/z)\/4. Suppose -m + 4*t = m + 12, -t = y*m - 10. Solve -3*u = -m*b + 9, -5*u - 5*b = 5 - 15 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 397, 1, -3, 15, 38, 3 in decreasing order.\nAnswer: 397, 38, 15, 3, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 148157289 a multiple of 1099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*((-20)\/4 - -3)\/1. Solve -3*v + 2*q = 7, -3*q + 3 = -0*v - z*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -9*g**6\/40 + 7*g**5\/20 + 5*g**4\/2 + 2*g**3 + 20*g**2. Factor o(h).\nAnswer: -3*(h - 2)*(h + 1)*(9*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -9*h**5\/20 + 3*h**4\/4 + 7*h**3\/6 - 11*h**2\/2 + 40*h. Let z(b) = 5*b**3 - 5*b**2 - 4*b + 6. Calculate -6*u(c) - 11*z(c).\nAnswer: -c**3 + c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15519025352 + -179?\nAnswer: -15519025531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64384605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 4, h: 3, b: 3}. Give prob of sequence hb.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d - 2904 = -56*d. Which is smaller: 0.4 or d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -9*q. Let u(x) = -x. Let b(v) = 10*u(v) - 2*y(v). Let c be b(-1). Let j(z) = -2*z - 5. What is the units digit of j(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10}. What is prob of sequence hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-64) + (-162)\/(-16). Solve 9*u - 6*u - 20 = -j, -3*u + 5*j - i = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*m**4 + 2*m**4 + 0*m**4 + (-16*m + 39*m + 14*m)*(3*m**3 - 3*m**3 - m**3).\nAnswer: -43*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2592789 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605 is divided by 80?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 1. Let c(z) = -72*z - 1. Let n(q) = c(q) - 4*p(q). Does 49 divide n(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 140*c + 149. Let z be j(-1). Solve -2*o - n = -z, 2*n - 15 = -2*o - n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14319189394 and 0.079?\nAnswer: 14319189393.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**2\/13 - 28084*v\/13 + 98588882\/13 = 0.\nAnswer: 7021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -109, -198, -323, -496, -729?\nAnswer: -1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -5*j**8\/2688 - j**7\/140 - 3*j**6\/320 - j**5\/240 - j**2\/2 - 6*j. Let a(r) be the first derivative of f(r). Factor a(w).\nAnswer: -w**2*(w + 1)**2*(5*w + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8118805 is divided by 1752?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 3*x + 4. Let s be u(4). Let k = -37 + s. Let n = k - -63. What is the remainder when n is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 0. Let u = -1 - d. Suppose j - u = 2. Solve -b - 3 = -3*o, -o + j*b = -4*o - 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t + 136. Calculate r(-20).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486 = -2*r - 0*k + k - 516, -75 = 5*r + 22*k for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -d - 4*i, 5*i + 3 = -5*d + 88. Suppose -4 = -3*n - l, 2*n + 0*l - 16 = 2*l. Suppose 2 = -c + 4*z, d = c - n*z + 6*z. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 > 216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*y + h - 471, 0 = -3*h - 6. Let g = y - 96. Does 20 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3197*f + 3377. Is r(16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) -2 (b) 3\/2 (c) 10 (d) -5 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*y - 119 + 119)*(y + 2*y + y) + (2*y + 2*y - 3*y)*(0*y - 3*y + 5*y) - 3776 + 3776 + 121*y**2 in the form z*y**2 + j*y + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/10)\/((-18)\/(-45)). Let u(q) = -87*q - 10. Is u(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3084504 (base 9) in base 15?\nAnswer: 228de1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*i + 840126 + 651990 - 556188 = 0. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + u = -k - 6, -5*u - 92 = 4*k. Let l be 35\/9 + (-2)\/k. Put l, 6, -12 in ascending order.\nAnswer: -12, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 341 - -2197. What is the highest common factor of 54 and r?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 9.84. Let o = 1.45 + b. Round o to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 198 and -0.05?\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x. Let t(h) = -158*h + 4. Give t(y(g)).\nAnswer: -158*g + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 31 - 9 + 4*a - 3 - 3.\nAnswer: -a + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -3 + (-3 - -3) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s - k = 546, -546 = -3*s + 4*k. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13215.\nAnswer: 3, 5, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 17 - 1) + 1 + 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -2*d**5\/5 + 16*d**3\/3 - 2569*d**2\/2 + 2395. Find the second derivative of u(w) wrt w.\nAnswer: -24*w**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/4*-2*(-1413 + 12). Suppose 6*f - k - 4035 = 0. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3331, -6665, -9991, -13303, -16595, -19861, -23095, -26291?\nAnswer: -29443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 576*k**4 + 139043*k**3 - 15479*k + 3415.\nAnswer: 6912*k**2 + 834258*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 873 - 545. Let f be (-6)\/(-33) - t\/(-11). Suppose -63 = -4*m - 4*b - 11, -2 = m - 4*b. Calculate the highest common factor of f and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzz when three letters picked without replacement from zzqz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1 - 4 - 1 - 7*z**2 + 0.\nAnswer: -7*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*j + 2*j - 18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 224 and 18060.\nAnswer: 144480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d**3 + 5*d**3 + 8*d**3.\nAnswer: 25*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-2))\/((-2)\/(-301)). Suppose 5*h - 5*w - d = -4*w, h = w + 57. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 51.\nAnswer: -5\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**4\/7 - 58*u**3\/7 + 286*u**2\/7 - 206*u\/7 - 552\/7 = 0?\nAnswer: -1, 3, 4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - a**2 + a - 8. Give v(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3178 + 29067 + 23291 = -3471*c for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*sqrt(1323) - sqrt(27))\/(sqrt(9) - (sqrt(900)*-3 - sqrt(900))).\nAnswer: -29*sqrt(3)\/41 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408 = 13*j + 356 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -513834\/7 - -73257. Let k = m + 148. What is the nearest to 2\/3 in 4, 3\/4, k?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2878 = 3*d, -143*v + 4*d = -142*v - 1450. List the prime factors of v.\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - (-3)\/(-21)) + 232\/7. Let j = v - 29. What is the highest common divisor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2056 = -2052, -4*a + 5*u = -14. Let s = -28.2 + 19.9. Let q = s - -8. What is the nearest to 2 in a, q, -2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5663 is divided by 37.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -12, -75 in decreasing order.\nAnswer: 5, -1, -12, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*y + y + 59, 3*y = 3*q + 102. Let a = 3 - 1. Suppose t - a = 0, 42 = 2*k + 3*k + t. What is the remainder when y is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1440034 to the nearest integer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 3, -1160, -91, 14, -1 in decreasing order.\nAnswer: 14, 4, 3, 1, -1, -91, -1160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(448)*-5.\nAnswer: -40*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -710 - 37047398?\nAnswer: -37048108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2952 and 3280?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j = -j + 130. Let h = 0.05 - 5.05. Which is the third biggest value? (a) 5\/2 (b) h (c) j (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4468 + 4450.09. Let d = -0.43 + -17.57. Let t = d - c. Round t to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -191 + 448. Let l = -1025\/4 + r. Suppose l*y**4 + 3\/4*y**3 + 0*y + 0 - 3\/2*y**2 = 0. Calculate y.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 470232?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 120 = 2*f. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a743 (base 12) to base 3.\nAnswer: 12010221020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 4. Suppose 0 = m*t - 0*t + 70. Let n = t - -15. Solve w - n = 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7394020 by 42740.\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**3 + 20*w**2 - 9*w - 43. Let b(n) = n**3 - 7*n**2 + 3*n + 15. Determine 17*b(z) + 6*q(z).\nAnswer: -z**3 + z**2 - 3*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3\/82*31\/(-93)\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 113. Let r = 41 + -14. Suppose 4*m - r = 69. What is the remainder when x is divided by m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1017 - 1015.14. Which is the second biggest value? (a) o (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*i + 87*i = -2*b - 23, 2*i + 3*b = -2. Solve -15*w = -12*w - 3*a - 9, -25 = -3*w - i*a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 5 + -1 + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 42 = -7*y. Suppose -33 = -2*d + 5*d. Let n = y - d. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 368, 390, 488, 710, 1104, 1718, 2600?\n\"Answer: 8*y**3 - 10*y**2 - 4*y + 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7882082*r**3*y + 32484530*r**3 with respect to y.\nAnswer: 7882082*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -x + 2385 - 531, x = -k + 465. Suppose 2*c - k = c. Let m = c - 252. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 155493 and 6513.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 10*j**2 - 2*j - 13. Let z(h) = -19*h**2 + 4*h + 24. Calculate -9*u(g) - 5*z(g).\nAnswer: 5*g**2 - 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -619 + 3123\/5. Calculate the common denominator of 9\/(-36) + (-177)\/60 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.4 - 11.4. Let a = -5.13 - -0.63. Let n = a + 0.5. What is the closest to 1 in 3\/22, n, h?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**3 + 592*n**2 - 1196*n + 600 = 0. What is n?\nAnswer: -150, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -3 + (1 - (14 - 9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129540 + -0.112.\nAnswer: 129539.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**4 + 43*c**3 + c**2 + 180?\nAnswer: -24*c + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -4 - ((1 - -1) + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3736, 7485, 11234?\nAnswer: 14983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -9. Let k(l) = l**2 + 3. Let j be k(a). Let o(s) = 4*s**2 + s + 3. Let b be o(-3). Calculate the greatest common factor of j and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 702795 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 295957604?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - 23. Let c be (-22)\/(-2 - (0 + -1)). Suppose 2*v - c = q. Calculate the smallest common multiple of v and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, w: 1, u: 3, d: 1}. Give prob of picking 1 d and 2 q.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24397 or -26947?\nAnswer: -26947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495482.\nAnswer: 2, 13, 17, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*w**5 - 2 + (-3*w**2 + 3*w**2 + 2*w**3)*(2*w - 2*w**2 - 2*w) + 3*w**5 + 13*w**5 + 3*w**5.\nAnswer: 13*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**3 + 2*h**2 - 7*h - 23. Let r(x) = -11*x**3 - 5*x**2 + 20*x + 69. Let a(i) = 3*r(i) + 8*v(i). Is a(-5) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91116*g**2 - 273350*g**2 + 91116*g**2 - 22127*g**3 + 91118*g**2.\nAnswer: -22127*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-3))\/((28\/(-630))\/((-7)\/(-70)*2)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -211*w**3 - 4325*w**2 + 4322*w + 3. What is j(1)?\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(5\/3)\/(u**(2\/11)\/u))**1 assuming u is positive.\nAnswer: u**(82\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -77298 (base 11) in base 12?\nAnswer: -54aa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2894 - 2892. Let n = -87\/44 + 30\/11. Which is the nearest to k? (a) n (b) -5 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143106 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 62314725563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifty-nine fifths of a millisecond?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**4 - 7*x**4 + 4*x**4 + (0*x**3 + 0*x**3 + 2*x**3)*(2*x + x - 2*x).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 3*f)*(0 + 5 - 4) + (-4 + 4 + 1)*(f + f + 0*f) + 0*f - 2*f + 3*f in the form m + b*f and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 53df + f0?\nAnswer: 54cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 25 (b) -1 (c) 1\/11 (d) 9 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14960 divided by -935?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (0 - -1)*-2. Let g be 6*9\/72 + (-4)\/((-32)\/(-6)). Suppose -q*m - m + 4*l + 4604 = g, 2*m + 5*l = 2323. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -656566*x - 8453 = -656459*x for x.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a day in minutes?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(-3)\/4*-3. Suppose 15 = 2*k - 2*h - w, -2*h + 2 = 0. What is the remainder when k is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvnnxpvvx. What is prob of picking 1 n and 2 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 7*v - 806*v - 159*v - 151*v + 0 to a*v + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 367 divide 344350595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -361.\nAnswer: -360.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 118267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 4*r - 10. Let u be z(7). Let f(p) = -11*p - 4*p - 5 + 5*p. Let y(c) be the second derivative of c**3\/3 + c**2\/2 - 2*c. Give u*y(i) + 2*f(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-3)\/6 + 35. Let m be (-101)\/(-6) - (-5)\/30. What is the highest common divisor of m and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8\/25 of a centimeter?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -4031404?\nAnswer: 1\/2015702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -8 - (0 - -2)) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -326*175\nAnswer: -57050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -25, -63, -123, -211, -333, -495, -703?\nAnswer: -963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2210030 (base 4) to base 2.\nAnswer: 10100100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(10000\/4820) - (18\/(-11))\/(24\/(-176)).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9236\/135 - 1054\/15. Calculate the common denominator of u and -95\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.021, -72\/7, -3, 4, 0.2, -0.5, 0?\nAnswer: -72\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -6*n. Let y(k) = -89781*k. Calculate y(q(f)).\nAnswer: 538686*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6. Let g be (-4)\/s - (-3 - -4). What is the tens digit of 1\/(g\/(-135)*3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5 = 5*v + 27, -4*r + 4*v = -128. Let t = r + -18. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2816 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 907*b*c**3 - 15*b*c**2 + 1246*b*c - 758*b wrt c?\nAnswer: 5442*b*c - 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.8*0.047.\nAnswer: 0.0846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 12 + 33. Suppose 3*k - 2*b - a = 0, -b = 4*k - 4*b - 20. Calculate the remainder when 38 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -15, 3\/5, -42, 2\/7.\nAnswer: -42, -15, -0.08, 2\/7, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94 - 17. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1078548707 to the nearest integer?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f**2 - 7*f + 4. Let u(a) = -6*a**2 + 8*a - 5. Suppose 10*q - 90 = 5*q. Let b = q + -12. What is b*u(d) + 7*p(d)?\nAnswer: -d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-20))**(-50))**(-6\/7) assuming b is positive.\nAnswer: b**(-6000\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16317\/7684 or -2?\nAnswer: -16317\/7684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 943.9142927735?\nAnswer: -944.1142927735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 132340 to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151870 is divided by 37961?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3356, 0.5, 8, 3, 2\/13 in decreasing order.\nAnswer: 3356, 8, 3, 0.5, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1267837 + -612163. Round p to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -3 (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15049 and 404.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 6*n**2 - n - 8. Let f be z(-6). Let a(u) = 13*u - 1110. Let c be a(85). Put c, f, -1 in decreasing order.\nAnswer: -1, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.11000454 + 0.11. What is u rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w - 14. Let v be x(6). Find the third derivative of -3*b**2 - v*b**2 - 2*b**2 + 0*b**2 + 6*b**5 wrt b.\nAnswer: 360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-36)\/(-16))*-3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0039601462 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -551*f**4 - f**3 + 3663*f**2 wrt f?\nAnswer: -13224*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 + 1)*(10*a**2 + 33*a**2 - 20*a**2) - 293*a**2 - 4 - 2 + 298*a**2.\nAnswer: -64*a**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08161 + 9.35139. Round r to 1 decimal place.\nAnswer: 9.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 10) in base 13?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 6793616.\nAnswer: 20380848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -73. Let z(q) = -q - 1. Let j(l) = 6*l + 4. Let r(t) = -3*j(t) - 15*z(t). Calculate the remainder when m is divided by r(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*p**3 - 263*p**3 - 47*p**3.\nAnswer: -256*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**3\/5 - 6*i**2 - 68*i\/5 = 0.\nAnswer: -2, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 41, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i**3 + 4*i**2 + 5*i. What is m(3)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 8) + 4 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -12 + 11 - -31 - 4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*20*(-7 + (-510)\/(-72)). Which is the third biggest value? (a) 112 (b) -7 (c) x (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 12. Let a = 48 + w. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2\/7 - 76*b\/7 + 192\/7.\nAnswer: 4*(b - 16)*(b - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 81\/43, 2\/13, 2 in ascending order.\nAnswer: 2\/13, 0.2, 81\/43, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -76*t**2 - t**4 + 918600 - 108*t - 918600 + 24*t**2 + 55*t**3 = 0.\nAnswer: -1, 0, 2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v\/v**(3\/5)*v))\/((v**(-1\/2)*v)\/v))\/(v**(1\/2)\/v*v**5) assuming v is positive.\nAnswer: v**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 645805 and 4.\nAnswer: 645809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 202 - 153. What is the greatest common factor of z and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1550960 rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1066*q**3 + 30935*q**2 + 352016205*q?\nAnswer: -6396*q + 61870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 148 by -6.\nAnswer: -74\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4 = 1. Suppose -b - 11 + 40 = -5*a, 2*a + 18 = 2*b. Suppose -4*k = 5*l - 9, 4*k = b*l - 0*l. Solve -l - d = n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 9:10 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/5)\/g)**8\/(g**(1\/2)*g*g**(-8)*g*g) assuming g is positive.\nAnswer: g**(29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**3 + 37*j**2 + 209*j - 2. Calculate the remainder when p(-5) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 2*g**3 + 3*g + 0*g**3 + 10*g + 92*g**2 - 13*g to x*g + i + t*g**3 + r*g**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1002, 1, -116, -5, 2, 3, -2 in ascending order.\nAnswer: -116, -5, -2, 1, 2, 3, 1002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -100*v**3 - 3080*v**2 - 20336*v + 53792 = 0.\nAnswer: -82\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 1. Let c(g) = -6*g**2 - 29*g - 5. Let h be c(-5). Calculate the remainder when 130 is divided by f(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 8*r - 51. Let i = 1174 + -1166. Give x(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 + -54. Let 6\/7*c**4 - 2\/7*c**5 - 6\/7*c**3 + 2\/7*c**t + 0*c + 0 = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62.56 - 72. Let r = 0.56 - v. Let n = r + -10.0188. Round n to three decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k - 231. Let f(n) = 19*n - 926. What is -2*f(s) + 9*r(s)?\nAnswer: -2*s - 227","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5902957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -1, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*p**3 - 272*p**3 + 2*p + p - 3*p.\nAnswer: -221*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 20136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 193423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1)\/(-3) + 19\/(6270\/(-130)).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6684853.374 to the nearest ten thousand.\nAnswer: 6680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001087 rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of p**5\/60 - p**4\/24 + p**3\/3 - 2. Let w(z) be the third derivative of y(z). Let n be (-1)\/((2\/6)\/1). What is w(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 14*c**2 + 26*c + 24. Let m be v(-12). Suppose m = a - 7*a + 138. Suppose n + a = 30. Which is greater: n or 6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 3*l**2 + 4*l**2)*(l**3 - 3*l**3 + 4*l**3) - l**4 - 3*l**5 + l**4 + (-2*l**5 + 3*l**5 - 3*l**5)*(1 + 0 - 3) + 2*l - 2*l**5 - 2*l.\nAnswer: 3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6547449?\nAnswer: 3, 277, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -17692375.5 to the nearest 10000.\nAnswer: -17690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2962681 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: -2 divided by 3400631\nAnswer: -2\/3400631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005986 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-36)*2)\/((-2)\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 + 3*l**3 + 2*l**3 + 1181*l**2 - 1372*l**2.\nAnswer: 3*l**3 - 191*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/3*9)\/((-8721)\/(-1197)). Solve -32\/17*u**3 + 0 + 22\/17*u**2 - 4\/17*u + x*u**4 = 0 for u.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.76 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a milligram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3995*k + 3996*k - 5. Let y be (-6)\/8 + 9\/16. Let r be (-21)\/28*((-4)\/3)\/2. Sort y, k, r, -1\/5 in decreasing order.\nAnswer: k, r, y, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300) + (-2*sqrt(300) - sqrt(300) - sqrt(300) - sqrt(300)) + -2.\nAnswer: -40*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.048 + -3.952. Let n = -52 - w. Let x = n + 48.000225. Round x to five dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -96*n**3 - 5*n**2 - 5*n. Let g(p) = 912*p**3 + 48*p**2 + 48*p. Determine 5*g(y) + 48*v(y).\nAnswer: -48*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -8*j - 2. Let k(h) = -h. Calculate 5*k(o) - n(o).\nAnswer: 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348*k + 356*k - 93456 = 0. Suppose k = 9*r + 234. List the prime factors of r.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/34)\/(13 - 12)*-2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/21*(-154)\/66*-9)\/(30\/(-93))\nAnswer: -93\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -19 (b) 1\/4 (c) 329\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -146, -184, -230, -284, -346?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -461 - -635. What is the highest common factor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(((sqrt(96) + (sqrt(96) - ((1*sqrt(96) + sqrt(96) - sqrt(96)) + sqrt(96))))\/sqrt(8))\/(sqrt(72)\/sqrt(3)) + 3))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/15 + 108\/20 + -601. Let y = 596 + r. Solve x - 3*q = -3, 0 = 4*x - y*x - q + 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-6)\/15 + 424\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*w - 7 = -3*t + 33*w, -t + 4*w + 7 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 2*y = 7*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 364 and 460.\nAnswer: 41860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14517*m + 28170?\nAnswer: 14517","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 4*g**2 - g + 2. Let y be (-9)\/6*(-8)\/1. Let a be y\/(-60) + (-11)\/(-5). What is j(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.2, 1, -2\/7, -7, -2\/75?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -11\/6*q**3 + 0 + 16*q - 1\/12*q**4 - q**2. List the prime factors of b(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 26*m - 1350. Determine y(52).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -3. Suppose -485*d + 8 = -487*d, -8 = -3*x + 5*d. Sort 0, f, x, -2 in decreasing order.\nAnswer: f, 0, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 + (4 - 1))*(-7 - 1). Suppose l + l = 6. Suppose -l*i + 11 = -p. Calculate the least common multiple of 10 and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 + 2 - 28) + 2 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5*i**3 - 4*i**2 + i + 2. Let f(x) = x**3 + x**2 + x. Let p(t) = 4*t**2 - 67*t + 269. Let n be p(10). Determine n*s(m) - 4*f(m).\nAnswer: m**3 - 5*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 94 + 11. Suppose 3*b + 3*m + f = 546, -5*b + 4*m + 771 = 0. Is 27 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2332*x**2 - 27983*x - 20. Calculate h(-12).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -176*o + 0*o**2 - 3*o**2 + 178*o to the form p*o**2 + j*o + c and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -9*v**3 + 25*v**2 - 17*v + 10. Let i(s) = 4*s**3 - 12*s**2 + 8*s - 5. Let j(z) = 6*c(z) + 13*i(z). What is the remainder when 71 is divided by j(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177507828 to the nearest integer?\nAnswer: 13323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*p = -88 - 3272 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32033, -64768, -97503, -130238, -162973?\nAnswer: -195708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15686 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 8:07 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-10*-13*108\/(-1560)).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 189666 in increasing order.\nAnswer: -4, 4, 189666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -2*x - 7*t + 52, -5*x = -5*t - 105. Solve -l = -p - 2*p - 12, 0 = -2*l - 2*p - x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 0.955?\nAnswer: 0.0955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 533322659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 0.31.\nAnswer: 2.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 4*o - 140, 62 = -0*u + 3*u + 2*o. Suppose 0 = 3*l - 9 - u. Calculate the least common multiple of (-2)\/6 - (-25)\/3 and l.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 3046824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-188)\/(3 - 1). Let k(r) = -r + 1. Let i be k(-1). Suppose -w - w - u = -c, i*w = -3*c + 239. Is c a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 + 6*r**2 - 216*r.\nAnswer: 2*r*(r - 9)*(r + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 5*r**3 - 2610*r**2 + 99625*r + 564000 = 0.\nAnswer: -5, 47, 480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s**3 - 24*s**2 - 69*s - 42. Let i(z) = -z**3 + 3*z**2. Let y(t) = -b(t) + 2*i(t). Suppose y(v) = 0. What is v?\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*j**2 - 192*j**2 + 288*j**2 + 253*j**2 to the form v + b*j**2 + o*j and give b.\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.668696m in centimeters?\nAnswer: 266.8696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1, 17, 35?\n\"Answer: 18*p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*m = 3*u + 5, 3*u + m + 18 = 0. Let k = 0.4 - 0.9. Which is the second biggest value? (a) u (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/15 - 7\/(-3). Solve c*x + 5*v = x + 25, -13 = -x - 2*v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -625*t + 220*t - 41415 = 322*t + 26*t for t.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -33 + 23 + 77 + l**3 - 3*l - 11*l**2 + 100 - 34. Let j be p(10). Solve 0 = 3*a - 3*t + 6, -6*a = -5*a - j*t + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 869?\nAnswer: 19\/869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1492, -5927, -13342, -23755, -37184, -53647, -73162?\nAnswer: -95747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + g + 3. Let s be l(-3). Suppose 31 + s = 5*z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8412468 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 101656 divided by -8\nAnswer: -12707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 756540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11121000122 + -22?\nAnswer: 11121000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/(-9))\/4)\/(((-7)\/742)\/(57\/(-38)))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 2*j - 3*j)*(164 + 165 + 778).\nAnswer: -2214*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dm when two letters picked without replacement from {g: 1, u: 1, m: 5, d: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = g - 28. Factor g*y**4 + 715*y**3 - 725*y**3 + y**4.\nAnswer: 5*y**3*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9660 is divided by 302?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 373630?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*t = 112*t + 420. Suppose -x + 0 - 7 = 4*g, 3*x + 21 = g. Which is bigger: t or x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (32\/10 - 3) + (-162)\/(-90). Suppose -3*t + 3683 = -5*v, -11*t + z*v = -5*t - 7358. List the prime factors of t.\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 227.00000394 + -227. Round a to 7 decimal places.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**6\/24 + 7*r**5\/12 - 25*r**4\/8 + 15*r**3\/2 - 18*r**2. Find o, given that u(o) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -357 * -2.\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 0 - 3)*(0 + 2 + 0) + (-2 + 4 - 1)*(0 - 1 - 1) + 2 + 1 - 1)*(-63*v - 32*v - 11*v)*(5*v - 2*v - 2*v) in the form y*v + k*v**2 + o and give k.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 309764 and 1456?\nAnswer: 1239056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 890\/(-8) - -2 - 72\/96. Let y be (c\/(-40))\/(3\/24). What is the greatest common factor of y and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from {o: 2, b: 2, i: 6, x: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 681622.\nAnswer: 2, 340811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 4:30 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -1011*w - 110202. Give i(-109).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 40 = -5*g - 5*f, -g + f + 28 = 0. Let c be (-2 - 0)*(g\/5)\/(-84). Sort c, 30, -5 in descending order.\nAnswer: 30, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90399839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6629187599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -120*b**2 - 15*b - 15. Let x(s) = -s**3 + 4*s**2 + 10*s + 14. Let a be x(6). Let k(r) = -17*r**2 - 2*r - 2. Calculate a*c(j) - 15*k(j).\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-50)*44\/(-33). Let p(m) be the first derivative of -1\/10*m**2 + 7\/20*m**4 - 2 + z*m**5 + 0*m + 2\/15*m**3. Factor p(s).\nAnswer: s*(s + 1)**2*(4*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/14 - (-3)\/7. Suppose 3*n + 1 = -s*m, 5*m + 31 = -3*n + 5*n. Calculate the highest common factor of 21 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*6*(-5*(sqrt(11) + 0)*5 - (sqrt(11) + sqrt(88)\/(sqrt(8)*1) + sqrt(132)\/sqrt(3)))**2.\nAnswer: -111007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -2*s - 2, -5*m + 1 = 4*s - 5. Suppose s*w - 16 + 8 = 0. Differentiate -h**w - 21 - h**2 - 25 + 47 with respect to h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7902 = 4*j - 5*l, 22*j - 26*j + 7906 = -3*l. What is the smallest common multiple of 20 and j?\nAnswer: 19780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -63, -129, -195?\n\"Answer: -66*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/22 and 145\/4282278.\nAnswer: 4282278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**2 + 4*c**3 + 5*c**2)*(-3*c + 4*c + 0*c).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 205412 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18, 19, 164, 471, 994, 1787, 2904?\n\"Answer: 9*r**3 - 26*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -y**6 - 7*y**5 - 9*y**4 + 8035*y**2 + y wrt y?\nAnswer: -120*y**3 - 420*y**2 - 216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9448*w**5 - 2*w**2 - 25*w - 2 wrt w.\nAnswer: 566880*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -370 + 1493\/4. Calculate the common denominator of r and 49\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x - 2 + 2. Let c(r) be the third derivative of r**5\/60 - 2*r**2. What is c(k(q))?\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-82)\/(-282) - (-11 - (-170)\/15). Suppose 2*b - 3 = 5*b. Do y and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307273919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 17*v**2 - 15*v - 11. Let d = -38 - -54. Let y be r(d). Let w be 6 - 12 - (1 - y)*1. Which is the biggest value? (a) w (b) 0.2 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 272*-0.3\nAnswer: -81.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 1122103?\nAnswer: 1122104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5070 + -5067. Solve y*b + 12 = 15 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 977104?\nAnswer: 2, 173, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2\/5 + 54*p\/5 + 729\/5 = 0. What is p?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-18)\/29) + 3. Let k = 6.5 - 7. Let d = k + -0.5. Sort l, 0.1, d in decreasing order.\nAnswer: 0.1, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 42. Put 5, 4, 2, m in ascending order.\nAnswer: m, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*w = -10, 2*p + 3 = -w + 7. Calculate the remainder when 30 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 11*p**2 + 11*p + 1. Calculate the remainder when 37 is divided by u(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*j - 27\/4*j**3 + 0 - 93*j**2.\nAnswer: -3*j*(j + 14)*(9*j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1439, -1443, -1447, -1451, -1455, -1459?\n\"Answer: -4*p - 1435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 2*g - 3*j, 0 = -4*g - j + 3 - 17 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 518 - 430. Suppose 3*s + 8*i = 3*i + f, -94 = -4*s - 2*i. What is the remainder when s is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - ((-504)\/(-12))\/(-6). Solve -3*b = -2*b + 2*o + 11, z*b + 12 = o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11815, -11817, -11819, -11821, -11823, -11825?\n\"Answer: -2*o - 11813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 30*r - 2435 = -26*r, 4*m = -5*r - 1948. Let f = m - -486. Do -23\/16 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -15*k - 3. Suppose 2585 = -215*g + 710 + 1230. Let s(r) = 76*r + 16. Suppose -3*h - u - 48 = 0, -2*h + 3*h = -3*u - 16. Calculate g*s(l) + h*b(l).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 0 + (-4 + 0 + 6)*(2 - 5 + 1) - 78 + 68 + 51)*(-18*f + 38*f - 31*f).\nAnswer: -440*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 24 = -6*g - d, 0 = -5*d + 20. Let w be 1\/4*2\/g. Which is the closest to w? (a) -0.5 (b) 4\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 11808?\nAnswer: 82656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/2)\/l)**31*l\/l**(-1)*l*l\/(l**6\/l)*l)\/((l*l*l*l*l\/l**(-1\/2))**(-9))**32 assuming l is positive.\nAnswer: l**(3137\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1580 take away 0.3505036621?\nAnswer: -1580.3505036621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-225)\/(-4) + 10\/(-40). Let b = a - 4. Let o = b - -10. List the prime factors of o.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + (sqrt(242) + 1*sqrt(242) + 1 - sqrt(242)) + -5))**2.\nAnswer: -1584*sqrt(2) + 2754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/2662005 and -53\/72.\nAnswer: 63888120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 10 = 6*f. Suppose -5*m - 5*x = -105, 0 = -5*m - 0*m - 2*x + 93. Calculate the remainder when m is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 80738*z**2 + 161474*z**2 - 80738*z**2 + 0.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 296974669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3 + 7. Suppose -5*h - 4618 = -y*m, 3 = 2*h - 5. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*q = -812, z + 11 = -3*q + 437. Suppose 18 = 29*i - 28*i. Calculate the greatest common factor of i and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 94 = -5*k. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 27\/(-6) - 1\/(-2). Let z be (-7)\/a - 4\/(-16). Find the second derivative of -j**4 - 5*j**z - 7*j + 5*j**2 - 2*j**4 wrt j.\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -215 divided by 5949.\nAnswer: -215\/5949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448) + 1 + 2 + -5*(1 + sqrt(28)\/sqrt(4)).\nAnswer: -2 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 + 6*g - 2. Let x(v) = -3*v**2 - 11*v + 3. Let l(m) = -5*s(m) - 3*x(m). Calculate l(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 11 + 71 + b**2 + 6*b - 82 + 2*b**2. Let w(s) = 7*s**2 + 13*s + 1. Give -5*o(l) + 2*w(l).\nAnswer: -l**2 - 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in -595, -1.2, 4?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(-i + i - i) + 90 - 41 + 169 - 3*i.\nAnswer: -4*i + 218","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5814294 to the nearest integer?\nAnswer: 2411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35481 is divided by 4994?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 131124 + 1?\nAnswer: 131125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 0.4. Let d = 276\/5 - 55. Let f = 2 + -7. Which is the closest to s? (a) -1 (b) d (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -22*b - 11. Let o(f) = -f + 2. Let k(i) = -4*i + 1. Let r(w) = 4*k(w) - 5*o(w). Determine -11*r(l) + 6*v(l).\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 495. Let s(c) = -c - 988. Give -5*a(m) - 3*s(m).\nAnswer: -2*m + 489","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19392 divided by 6.\nAnswer: -3232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 66 = -7*g. Let y = g + 19. Let s = y + 17. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-1) - 6 - 5. Suppose -2*y + 20 = h*k - 10, 10 = 2*y. Solve 3*o - 22 = k*d, -3*d = -4*o + 21 - 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 9*z**2 - 18*z + 5. Let m(q) = -2*q**2 - 2*q + 1. Calculate -l(s) - 4*m(s).\nAnswer: -s**2 + 26*s - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2903.03 + 2903. Sort -39, 0, o, -5 in ascending order.\nAnswer: -39, -5, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yoo when three letters picked without replacement from oobbbbybyobo.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311*t**2 - 634*t**2 + 322*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 635771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 5*a + 8 = -6, 5*a = -3*z - 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -210 + 221. Solve 13*g - m*g = 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3317\/40, -2, -1.\nAnswer: -2, -1, 3317\/40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1578 + -1576. Put 3, 7, -3, 17, v in descending order.\nAnswer: 17, 7, 3, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 + -35?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2778 is divided by 103?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*j + 3 = 9, 5*g + 10 = 5*j. Let u be 0 - g - 45\/(-5). Calculate the common denominator of 2\/(-1) + 75\/u and -29\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**2 - 9056286*z = 0. What is z?\nAnswer: 0, 3018762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8303*p + 108758 = 9525*p for p.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 18*u**2 - 2911*u + 49201. Calculate d(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**2*i**3 - 10*d**2*i**2*v + 123544*d**2*i - d*i**2 + 35388*i**3*v + i**3 wrt d?\nAnswer: 2*i**3 - 20*i**2*v + 247088*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 + 3673768*g**2 + 1687067740954*g - 3374150176996.\nAnswer: 2*(g - 2)*(g + 918443)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28.1 - 28. Let j = 25 - 25. Which is the nearest to 0.1? (a) j (b) 3\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1661, -1669, -1677, -1685, -1693?\nAnswer: -1701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 32*m + 16 = 36*m, -15*m - 15 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*-1*-6)\/(sqrt(448)*2).\nAnswer: 3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4\/3 (b) 0.5 (c) 2\/3 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 25. Calculate the remainder when 62 is divided by r(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19137982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 17*l - 20 = 0. What are the prime factors of 2*(2 + -4 + l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 9. Let w be t(11). Suppose l - 2361 = -w*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(73860\/(-3885) - -19).\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1041 + -8357\/8. Calculate the common denominator of -89\/4 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddoo when four letters picked without replacement from oodoodoodod.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.401 + 1.001. Which is the closest to 2\/3? (a) j (b) 5 (c) 2\/11 (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 133, 521, 1167, 2071, 3233, 4653?\n\"Answer: 129*x**2 + x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.163283 tonnes in grams?\nAnswer: 163283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in -188, -0.02, 0.032?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x. Let r(l) = 3*l + 2604. Calculate r(g(j)).\nAnswer: 3*j + 2604","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3641 is divided by 817.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-4\/5)\/x)\/((x\/x**(-10))\/x))\/(x*x\/(x\/x**0))**(7\/4))**(-3\/14) assuming x is positive.\nAnswer: x**(813\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 5\/649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffdnffffddfjfjd. What is prob of sequence jdj?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q**2 - 5*q - 7. Let v(x) = 5*x**2 - 5*x + 19. Let w(b) = 2*b**2 - 2*b + 7. Let l(f) = 3*v(f) - 8*w(f). Give -4*l(k) - s(k).\nAnswer: -k**2 + k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2567, -11215, -25949, -46775, -73699?\nAnswer: -106727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*y - 15. Suppose -4*u - 66 = -4*p + 374, 0 = -4*p - y*u + 458. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47.93 - 25.07. Let d = 3.7 + -3.9. What is the smallest value in 2\/9, d, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52431 is divided by 167?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 46*g**2. Let s(j) = -10*j**2. What is h(s(u))?\nAnswer: 4600*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26763921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5201 + -5200.7. Which is the third smallest value? (a) 634 (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 314136468 divided by 53892.\nAnswer: 5829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a kilometer in meters?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**1)**(-23) assuming x is positive.\nAnswer: x**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 7*q - 3*q - 134, -5*v + 25 = 0. Suppose 0 = k - q + 23. Suppose -2*a = 2 - k, -2*s + 2*a - 10706 = 0. Round s to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*u, 3*o + 2*u - 4 = 3*u. Suppose 5*t - 11 = 24. Solve t*n = o*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2. Let j(u) = -55 + 168 - u - 32 + 137. Give w(j(q)).\nAnswer: 3*q**2 - 1308*q + 142572","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-10) + (-4)\/20*1. Let b(u) = 74*u**2. List the prime factors of b(q).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100011100111010111 (base 2) to base 3\nAnswer: -21102002221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 less than or equal to 55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33a7a (base 16) to base 4.\nAnswer: 303221322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1674542017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a400 - 5212?\nAnswer: -14612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1800261000 to the nearest 1000000.\nAnswer: 1800000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3333 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*n + 20. Let x = 132 + -118. Let y = n + x. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 451416 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -430698 - -964207. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h*v**5 - 153713*h*v**4 + 5620*h*v - 2*h + 7*v**2 - 3*v - 3 wrt v?\nAnswer: 180*h*v**2 - 3689112*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -46008 divided by -213\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1323*c**3 - 15*c**2 + c.\nAnswer: 7938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v**3 - 22*v**2 + 19*v + 9. Let c be a(3). Let x(f) = -10*f**2 - 6*f + 6. Determine x(c).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-16077)\/(-2295) - 7)\/(4\/(-290)) and 29\/45.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2570?\nAnswer: 2, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 4 = 5*y. Suppose -u = y*u - 348. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -437 by 19.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -12. Let a be 9\/(-2*q\/(-4)). What is the greatest common factor of a and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 10*u**2 + 17*u - 9. Give h(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-30)\/135)\/(3\/9). Put -1\/4, g, 51, -7 in ascending order.\nAnswer: -7, g, -1\/4, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w**3 + 4*w - 5. Let a(h) = -6*h**3 - 5*h + 6. Let c(s) = -s**2 - 6*s + 10. Let b be c(-8). What is b*a(u) - 7*r(u)?\nAnswer: u**3 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -3.69.\nAnswer: 24.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - sqrt(68)*5 - ((-4*sqrt(153))\/sqrt(9))**2.\nAnswer: -272 - 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12441 is divided by 6212?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 3*b - 42, 8045 - 8027 = -k - 3*b for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 417*b**3*c*k**2*t + 7*b**3*c + 134*b**3*t - 156*b**2*c*k*t - 251*b**2*t + 6*b*c*k*t - 4*c*t + 5*k**2*t wrt b.\nAnswer: 2502*c*k**2*t + 42*c + 804*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*6898.035.\nAnswer: -131062.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 423810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -13. Let h(y) = -o*y - 1 + 2 - y**2 - 2*y. Let c be h(-6). Sort c, -6, 3 in decreasing order.\nAnswer: 3, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 2. Solve 0 - p = -4*b - 2*h, 3*h = -3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 226846 and 505.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1010810 - 1010810 - 3525*c.\nAnswer: -3525*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -4, -2, 1326, -35 in ascending order.\nAnswer: -35, -4, -2, 4, 5, 1326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17569, -7, -16, -2, 0 in decreasing order.\nAnswer: 17569, 0, -2, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -36*u**2 - 113*u + 18. Calculate m(-7).\nAnswer: -955","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -17*-0.051\nAnswer: 0.867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*o**2 + 13*o - 13*o + (10*o - 6*o + 26*o)*(-3*o - 21 + 21) + 1 - 2*o**2 - 1 to the form l + i*o + m*o**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129986332.\nAnswer: 2, 7, 857, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97883729 is divided by 97883725.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 30*l - 21. Let k be s(42). What is the highest common factor of 21 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + -2 + (-19 + (-30 - -32) - -8).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*c**3 + 12*c**2 + 10*c**2 + 15*c**2 - 37*c**2.\nAnswer: -187*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*f - 474 = -1514 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 + 120*h. Let a(u) be the third derivative of -u**5\/30 - 1060*u**2. Determine l(a(s)).\nAnswer: 8*s**4 - 240*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -1. Suppose 2*m + 2644148 = -5*y + 24644128, 54999984 = w*m + 4*y. What is m rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -55895423.2\nAnswer: -55895421.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136480, -136514, -136528, -136522?\nAnswer: -136496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 70443 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -408 in descending order.\nAnswer: 1, -5, -408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9*(-40)\/(-36) - -9013 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2981562, -2981565, -2981566, -2981565, -2981562, -2981557?\nAnswer: -2981550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*2\/(-12)*20. Find the common denominator of 81\/22 and (-1*(-129)\/(-6))\/w.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 6*v**2 + 18*v - 51. Let f be d(2). Sort 2, f, -15, 73 in decreasing order.\nAnswer: 73, 2, f, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4766404 and 3?\nAnswer: 14299212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 5*o - 43, 4 = -w - 5*o - 3. Let g be (6\/w)\/(1\/(-34)). Find the first derivative of 2 - 7 + 19*a**4 - g*a**4 wrt a.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*a**4*p - 3583477*a**3*p - 8349*a**2*p - 2*a**2 - 2*a*p - 33*p + 4 wrt a?\nAnswer: 240*a*p - 21500862*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -4639368 = -4639369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -332074 and -291429.\nAnswer: -623503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 14*v + 807. Calculate r(-35).\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/9110384 and -101\/18220768?\nAnswer: 18220768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1727 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 198056128 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 992939 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -31. Let d = -3.11 + 3.11. What is the fourth smallest value in d, -1\/5, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(625) - sqrt(625)*2 - sqrt(625)))\/(sqrt(450)\/sqrt(10)*2).\nAnswer: 5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r + 174. Let v = -20 + 20. List the prime factors of s(v).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 1\/7, 4, 1, 182\/9, 12 in decreasing order.\nAnswer: 182\/9, 12, 4, 1, 1\/2, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 203 - 342. Let d = 697\/5 + p. Let m = 14 + -15. Which is bigger: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138 + 145 - ((-9 - -20) + (1 - -1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (0\/(-2) - (-15)\/5). Solve -4*q + d = -8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddwwwddddwdddddddd. Give prob of picking 1 w and 3 d.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5326719, 5326721, 5326723, 5326725, 5326727, 5326729?\n\"Answer: 2*a + 5326717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148638 is divided by 1327.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -438 + 147 + 142 - 10*f**2 + 149.\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -1142.6 (c) 1\/3 (d) -391\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2) + (2 - -2) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 62, 180, 410, 788, 1350, 2132?\nAnswer: 3170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 168722?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -10*t. Let a be 75\/(-30)*((-32)\/40 - (-2 + 0)). Let z(q) = -119*q + 714. Let k(w) = 1. Let j(i) = -714*k(i) + z(i). Determine a*j(s) + 35*b(s).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**3 - 3*a**2 - a + 1. Let g be q(-1). Suppose -g*b = 4*l - 61 + 25, 4*b = l - 27. Solve -20 = 3*i - l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 3*j + 1. Let x be d(2). Solve w + 0*w = x*v + 16, 0 = -5*w + 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*r + 564 + 738 = 0 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 5*(-27)\/5.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**5\/60 + j**4\/4 + 11*j**3\/3 + 28*j**2\/3 - 187*j. Let a(k) = 0. What is k?\nAnswer: -4, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51*2\/11*4\/48*22.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1997 = 8*x + 221. What is the lowest common multiple of x and 40?\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*(-3)\/6 + -3. Let h be (-16)\/f - (-6)\/(-9). Let m be 24\/20 + (-2)\/10. Are m and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -279*x**3 - 177*x**2 + 471*x - 15 = 0.\nAnswer: -5\/3, 1\/31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -1648, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -33\/31023211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 9*g - 3. Suppose 33 = -5*t - 5*n - 22, 0 = -4*t + 3*n - 16. What is the remainder when 43 is divided by s(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15\/6)\/1 - 1. Let v = -5 + 6. What is the third smallest value in v, f, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6272, 0.1, -1579\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -8, -2\/11, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, h: 14}. What is prob of sequence lh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 11*j**2 + 13*j + 35. Let p be d(-10). Let u = 2 + -5\/3. Which is the smallest value? (a) p (b) -1\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05 - 0.95. Which is the closest to 0? (a) 0 (b) g (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1375) - sqrt(1375)*-2)\/(sqrt(704)*-1 + sqrt(11)).\nAnswer: -15*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 288 and 47742.\nAnswer: 2291616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33253*g**6 - 3258*g**2 + 9 wrt g?\nAnswer: 3990360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10012811.\nAnswer: 10012811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 15819?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 9d?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10001100 (base 2) to base 6\nAnswer: -352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12 or 138\/11?\nAnswer: 138\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -v - 0*o + 37, 0 = -4*v - 2*o + 118. Suppose -43*u = -46*u - 3, 2*m + 4*u - 2 = 0. Calculate the remainder when v is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r - 7. Calculate the remainder when 4 is divided by a(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**6\/360 + l**5\/120 + l**4\/12 + l**3\/6 - 2*l**2. Let z(h) be the first derivative of p(h). What is the units digit of z(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 337133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2283 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: Calculate the least common multiple of 120 and 125508.\nAnswer: 1255080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 7*l - 5. Let p be n(-5). Suppose -p*a + j + 69 = 0, 2*a - 29 = 3*j + 9. Suppose -a + 777 = 4*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11885, -23483, -54987, -116351, -217529?\nAnswer: -368475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -35. Suppose f*a - 72 = 3*z, -2*z = a + a - 32. Calculate the remainder when 89 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.03, -3, 4, -1\/2, -6\/97?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 168605929 to the nearest integer?\nAnswer: 12985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -115920000 rounded to the nearest 1000000?\nAnswer: -116000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(4 - 5 - 4)*((4 + 1 - 4)*(s - s - s) - s - 2*s - s).\nAnswer: -50*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + j + 35, -u = -3*u + 4*j + 14. Let o = -5 + u. Suppose -5*i - 4*l - 5 = -3*l, -i = -2*l - 10. Solve -a + y - 5 = i, 4*a = 2*a - o*y - 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1609, -0.06, 0.3, -3 in increasing order.\nAnswer: -3, -0.06, 0.1609, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/5 (b) 1 (c) -0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9954*-1.2.\nAnswer: 11944.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5 - 1531260*k**4 - 781582666665*k**3 - 132975869606327330*k**2 + 797876320535340420*k - 1196825032293043032.\nAnswer: -(k - 3)**2*(k + 510422)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2.16875 times -2011\nAnswer: -4361.35625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + 7 + 192\/6 - -7. Suppose i = -77*r + 360. Let -2\/7*c**2 - 14 - r*c = 0. Calculate c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2609499622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-1 + 13 - 2 - (3 + 0))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.9 - 18. Let r = p + 6.1. Which is the second smallest value? (a) 0.5 (b) -2\/11 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9260.\nAnswer: 2, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 697814*m**2 + 755660*m**2 + 4 - 4.\nAnswer: 1453474*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w + 6. Let d(o) = -o**3 - o**2 + 1. Let i(n) = -2*n**3 + 4*n**2 + 8*n + 19. Let k(s) = 3*d(s) - i(s). Let j be k(-6). Calculate h(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 178792279 to the nearest integer?\nAnswer: 13371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(931) + (sqrt(931) + (sqrt(931) - (3 + sqrt(931)))*-6 - sqrt(931)) + sqrt(931) - sqrt(931)) + sqrt(931) + -3 + sqrt(931) + 5)*6)**2.\nAnswer: 30240*sqrt(19) + 316044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29919 = 1554*k + 13784 + 33997 for k.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -v + 119, -11 = -2*m + m + 3*v. Suppose 44 = 5*b + 2*o, 4*b + 0*b - 4*o - 24 = 0. What is the remainder when m is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r - 8. Let j be x(2). Suppose j*y - 12 = -y - 3*d, y = -2*d + 3. Suppose y*a - 49 = -4. What is the greatest common divisor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.21 - 0.21. Which is the closest to 0? (a) -0.3 (b) j (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**4\/6 - l**3\/3 - 11*l**2. Suppose 3*n + 0*n = 27. Suppose 4*q = 20, -4*q - n = -o - 32. What is m(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) - (-1 + sqrt(343))) + -2 + (sqrt(343) - (0 + sqrt(343) + sqrt(343)*1) - sqrt(343)))**2 + 3*(-4 + (sqrt(21)\/sqrt(3))**2)*1.\nAnswer: 28*sqrt(7) + 1382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 826587 + -589384. Let f = d - 119203. What is f rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/36 - 10\/(-8). Which is smaller: 3\/31 or t?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -79*m - 1186. Calculate the remainder when t(-26) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19591343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 44952.78 to the nearest 100.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 8*c**2 - 9 + 0*c**2 + 6*c - 5*c**2. Let h be i(-7). Let l = h - 97. Is l > -1\/64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 - y**2 + 2*y**2 + (-y - y - y)*(y - y - 2*y) + 3*y**2 - 7*y**2 + 2*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**4 + 22*f + 2*f**2 + 238 - 238 in the form t + o*f**2 + j*f**3 + g*f**4 + v*f and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22745, 45242, 67739, 90236?\nAnswer: 112733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8944, 1, -1\/3, -4\/7, 2\/3, 3 in descending order.\nAnswer: 3, 1, 2\/3, -1\/3, -4\/7, -8944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57565238.\nAnswer: 2, 59, 71, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 16*y**2 - 15*y + 1. Let x be t(-15). Solve 0 = l - 0*l + x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437 is divided by 143?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -609*p**3 - 5*p**2 - 2*p**2 + 4*p**2 - 2*p**2 - p + 7*p**2 - 2*p**4 in the form s*p**3 + a + j*p + h*p**4 + z*p**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 12:43 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 - f**3 + 1903 - 1903 + 20*f**3.\nAnswer: 17*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 636.7528 meters in nanometers?\nAnswer: 636752800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.954 rounded to zero decimal places?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 202 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 6 = -2*q, -4*q - 6 = -4*i - 2*q. Suppose -3*h + 2*h + 4 = i. Solve -h*n + 2 = -2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24663 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, c: 9, q: 2}. Give prob of picking 1 h and 2 c.\nAnswer: 27\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h - 5 + 4*h - 6*h)*(5*h**3 + 6*h**3 - 6*h**3).\nAnswer: 25*h**4 - 25*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58702, -58189, -57334, -56137?\nAnswer: -54598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + -5 + 3 + sqrt(3087))**2.\nAnswer: -210*sqrt(7) + 15440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72364*l**3*t - 3*l**3 - 4*l**2 + 2*l + 2027*t wrt l.\nAnswer: 434184*l*t - 18*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 10:06 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.371787 litres in millilitres?\nAnswer: 8371.787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 819\/(-21)*(-1)\/(-3). Let w = -5 - r. Calculate the smallest common multiple of 9 and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 1 + 2)*(-5 + 6 + 2)*(-232*o**2 + 77*o**3 + 232*o**2).\nAnswer: 1155*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -22*i. Let k be v(-1). Let o = -19 + k. Solve -o*m + 4*x = m - 8, 3*m = -4*x - 22 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3)\/2 - 2)\/(1\/(-3314)) + 4?\nAnswer: 41, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*((-75)\/(-180) - 3\/12). Let -v - 1\/4*w**3 + 1\/4*w + 1\/2*w**2 = 0. What is w?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2 (b) -3\/7 (c) -5 (d) 9914\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -91*t**3 - t**2 + 12*t**5 + 91*t**3 + 3*t**5 - 6*t**5 + 0*t**5 + (-t - 3*t + 3*t)*(t**3 - t**3 + 2*t**4).\nAnswer: 7*t**5 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 453 + 448 - g + 457 - 1340. Determine r(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16\/59? (a) -5 (b) -257 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1236493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1761 is divided by 126.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 144 = x + 4*z, 2*z = 0. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/(-21))\/(2\/(-78)). Let t = x + -17. What is the tens digit of 224\/t*2\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkkddkfkffyfdkffkf. Give prob of picking 1 y and 2 d.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -189464.57 minus -1.1?\nAnswer: -189463.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/101)\/(v*v**(-2\/5)\/v)*v**(5\/8)*(v\/(v*v**25))\/v)**0 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.645082083 rounded to two decimal places?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1026665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47125?\nAnswer: 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 192874, 192847, 192820, 192793, 192766, 192739?\n\"Answer: -27*x + 192901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 4*i - 116, 2*a = 2*i - 4*i + 32. Let d(g) = g**2. Let o be d(1). Suppose -q + 6 = -o. Calculate the remainder when a is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 2:17 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44*m*n*y - 61*m - 6*n*y**2 + 8*y**2 wrt n?\nAnswer: 44*m*y - 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -322 - -362 - (-5 + -42)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -0.02382.\nAnswer: 2.97618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/(c*c\/((c*c**(1\/7))\/c)*c))\/c))\/c*c)**(1\/24)*c**(-7\/4)*c\/((c\/c**16)\/c) assuming c is positive.\nAnswer: c**(863\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 9 + 1)*(-7 + 5*q + 7).\nAnswer: -65*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 39703, 79414, 119119, 158818, 198511, 238198?\n\"Answer: -3*t**2 + 39720*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 361587, 723265, 1084943?\n\"Answer: 361678*a - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 4*d)*(2 - 1 + 1)*(-267 + 129 + 124).\nAnswer: -112*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 - -57. What is the third biggest value in 13, l, -3, -2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 - q**3 - q**3)*(335*q - 335*q + 8*q**2) - 1 - q**5 + 1.\nAnswer: -25*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 0*f - 4*f)*(-47 - 51 - 392).\nAnswer: 980*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -18*p - 123. Calculate the remainder when 123 is divided by r(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a177b93 + -2?\nAnswer: -1a177b95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56080486?\nAnswer: 2, 7, 11, 23, 71, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 0.3 (c) 9 (d) 0.2 (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 12:04 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 75*s**2 - 11*s + 4. Let g be f(5). What is the greatest common factor of g and 1482?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ft when two letters picked without replacement from {p: 1, f: 2, v: 3, w: 8, i: 2, t: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 4*l - 16, 5*l = 5*j + 23 - 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5048 - -5052. What is the third smallest value in y, -1\/13, 3, 11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 0, 0.4, 189.25, 1\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -8*u. Let l = 37 - 31. Let a(t) = 24 - 15 - 17*t - t**2 - 9. Let f(x) = l*a(x) - 13*j(x). Let q(k) = -2*k**2. Give q(f(m)).\nAnswer: -72*m**4 + 48*m**3 - 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b**2 - 6*b. Let j(z) = -z - 6. Let a(d) = -d - 5. Let r be (11 - 13) + 2\/(-1) + 9. Let o(i) = r*j(i) - 6*a(i). Determine q(o(p)).\nAnswer: -6*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 970 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -1578a?\nAnswer: 15793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 1 + 9\/3. Let g(h) = 6 + v + 2*h - 3. Let f be g(-4). Which is the nearest to 0.2? (a) -6\/11 (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 4. Let y be k(-6). Solve -5*n + 34 = 5*l + 4, y*n = 4*l - 18 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**2\/7 + 183006*w\/7 - 183009\/7 = 0.\nAnswer: -61003, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgp when three letters picked without replacement from pggpg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 3:32 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 504521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -2\/135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 99277002?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 6. Let q = -13 - u. Let i = -121.1 - -121.5. What is the second smallest value in i, q, -7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -182, -230, -278, -326, -374?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 3*q - 337209, -112385 = -11*v + 10*v - 5*q. What is v rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (246\/(-738))\/((-1)\/112884).\nAnswer: 2, 23, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 2*i = -0*p - 3, -13 = 2*p - 5*i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**15)**(-17)*z**13\/(z*z\/(z*z**(-29))*z) assuming z is positive.\nAnswer: z**(-273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9211 and 34277.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 154\/1001 + ((-99)\/52 - -2). What is the third biggest value in -0.2, -0.4, -0.37, s?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 0, -33, -0.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/629 - 1236\/6919. Which is the third biggest value? (a) -2\/5 (b) -0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100070898.4 + -100441918.3945. Let z = -371100 - t. Let s = -80 - z. Round s to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 330 divide 549611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -109396\nAnswer: 3\/109396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -174*1059\/40948*12\/(-568)*8\/(-18)?\nAnswer: -3\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 3*f - 7. Let l be y(-5). Suppose 0 = 31*c - 87 + 25. Suppose -h = l*d - 6*d - 42, c*h - 5*d = 88. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 6*x + 2*q = 36, 17*x + 6*x + 234 = -2*q for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqnn when four letters picked without replacement from {n: 3, q: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -34 and 21.6912.\nAnswer: -12.3088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/2)\/((-9)\/(-90)) + -5. Suppose 2*g + 14*x - 22 = 10*x, p*x = 20. Solve 4*w = 4*s + 8, -g*w = -3*s + 2*s - 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -1\/10*a**5 - 1\/2*a**3 - 1\/24*a**4 + 0*a + 1 - 1\/24*a**6 - 10*a**2. Find the second derivative of c(d) wrt d.\nAnswer: -30*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgafuazf. What is prob of picking 1 z and 1 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - n**2 + n + 15. Let t(g) = -g**2 + 3*g - 2. Let b be t(1). Determine l(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 v when two letters picked without replacement from rurruxuuuruvlruvrrr.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g + 16*g + 3*g.\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*((-3*g + 2*g + 2*g)*(-2*g - g + 6*g) + 4*g**2 + 138 - 19*g**2 - 137)*(3*g + 3*g - 2*g).\nAnswer: -48*g**3 + 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-135)\/18*(3 - (-25)\/(-3)). What is the highest common divisor of q and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)\/sqrt(5))\/sqrt(2) - sqrt(198)\/sqrt(11))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*y + 205 = 3707, -2628 = -3*k - 3*y. Suppose 2*q - k - 338 = 0. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 3*m - 8. Let a(q) = -q**2 - 4*q - 8. Let f(t) = -6*a(t) + 5*h(t). Is 7 a factor of f(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 11:48 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 3)*(-4*i**2 + i**2 + 2*i**2)*(-4*i**3 + 4*i**3 - i**3 + i).\nAnswer: 2*i**5 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 8 = -j + f, 2*j = 5*f + 19. Suppose 4*z - 835 = -j*s + 99, 5*s - 2335 = 2*z. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30.176 - 30. Let p = l - -4.824. Let s = -36 - -38. Which is the closest to -3\/4? (a) -5 (b) p (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 6*v = 4*v + 1618, 647 = 2*c + v. Suppose 5*l + c = 11*l. What is the smallest common multiple of l and 4?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 = -4*n - n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(8\/17)\/u))\/u*u)\/u*u**(-38)*(u\/u**21)\/(u\/u**(29\/3)) assuming u is positive.\nAnswer: u**(-2489\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i**2 + 3*i + 2. Give b(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**4\/24 + f**3\/6 + 20*f**2. Suppose 12 = 3*c, 7*z - c + 12 = 3*z. Let d(t) = -1. Calculate z*p(y) - d(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -30*z**2 + 15*z. Let y(q) = 15*q**2 - 7*q. Let w(j) = -5*g(j) - 9*y(j). What is the second derivative of w(r) wrt r?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/395945047 and -20\/36311?\nAnswer: 4355395517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**42\/w*w**(-7))**(-41) assuming w is positive.\nAnswer: w**(-1394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -98*t - 7438. Determine a(-76).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 5*v + 18*v)*(-2*v + 27 - 27).\nAnswer: -46*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -89*m + 4380. What is n(52)?\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.058 - 1.59947.\nAnswer: -1.54147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/70*(-9471)\/(-902)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r + 10 - 25*r**3 - 10 to u + w*r**2 + h*r + o*r**3 and give o.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 54536248 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 44596300 to the nearest one hundred thousand.\nAnswer: 44600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d - 14 = -32*d + 5*z, z - 2 = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -10*y**3 - 6*y**2 + y - 1. Let g(w) = w**3 + w**2 + 1. Let c(a) = 3*g(a) + j(a). Let x be c(-1). Sort x, 1, 2, 0 in descending order.\nAnswer: x, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/92 or 17\/20974?\nAnswer: -3\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5175)\/1840 - (-3)\/(3\/3)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 5:14 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 191, -3.2, -5 in increasing order.\nAnswer: -5, -3.2, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j**2 - 21*j + 529. Calculate t(10).\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.344 - -0.344. Let t = 2\/5 + 1\/10. Suppose 2*o + 12 = -o. What is the smallest value in t, r, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 32*i**2 + 221*i + 32. Let z be r(-22). Let c(y) = 4*y + 5. What is c(z)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 201122011?\nAnswer: 201122010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 7 + 7)*(2*s**3 + 2*s**3 - s**3 + (-4*s**2 + 3*s**2 - s**2)*(-2 + s + 2) + 6*s**3 - 2*s**3 - 2*s**3).\nAnswer: 48*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 205.61 - 218.61. Let w = 45 - 25. Let x be w\/28 + 2\/7. Which is the nearest to x? (a) v (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, e: 6, r: 4}. What is prob of sequence ee?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -7. Let q(x) = -x**3 + 7*x**2 - x + 6. Let o be q(m). Are 2\/17 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5313 + 5335. Solve -2*f - i + 28 = -2*z, -2*f + 3*z + 5 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3712, 12028, 20344?\n\"Answer: 8316*v - 4604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2111010012 (base 3) to base 16\nAnswer: bf21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 9*s**2 + 73*s - 657. Calculate x(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1503000 and 2758800?\nAnswer: 6910794000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 - 5*x**3 + x**3)*(-3 - 2 + 3) - 5*x**3 + 2*x + 2*x**3 + 0*x**3.\nAnswer: 3*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4180 and 45980?\nAnswer: 45980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11850*a*g**2 - 4877*a*g wrt g.\nAnswer: -23700*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171 = 5*x + 4*w + 140, -w + 4 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -20) + -70 + 36?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -292.1 - -293. What is the nearest to v in 1, 5, 2\/3, -0.01?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, a: 4, l: 4, p: 2, o: 1}. What is prob of picking 2 q, 1 l, and 1 o?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 672\/560*25\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 693175560 a multiple of 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, z: 8, l: 1}. Give prob of sequence sl.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 223943214 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91.871 - -0.529. Let c = f + -81. Round c to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5478 is divided by 308?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.5 - -2.43. Let f = d + -4.93. Sort 2\/7, 3, f in ascending order.\nAnswer: f, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/3 - 2*j\/3 + 8.\nAnswer: -2*(j - 3)*(j + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 317084692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*a**3*c**3 - 2*a**2*c + a*c**3 - 193*c**3 wrt a?\nAnswer: 33*a**2*c**3 - 4*a*c + c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85 + 86. Suppose 2*d - 7 = -q. Solve h = d*h + 2*z - 8, -24 = -4*h + 4*z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6*f. Let i(l) = 30*l**2 + 7*l**2 + 15*l**2 - 175*l**2 - 156*l**2. Give n(i(u)).\nAnswer: 1674*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 3)*(2 + 8 + 9) - 4 + 3 - 1 + (2 + 1 - 2)*(0 + 2 + 0))*(-2*w - w + 0*w).\nAnswer: 171*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 8 = 2*t. Let o(y) = -2*y**2 - 2*y - 5. Let s(v) = 2*v**2 + 2*v + 4. Let l(j) = t*o(j) + 5*s(j). Solve l(z) = 0 for z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-2))\/((-1)\/27). Suppose -5*r + 33 + p = 0. Let t = r + -3. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -3. Suppose 4*w - 80 = -43*k + 40*k, 0 = 2*k - w - 35. Solve -k*h = -v*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3*t**2*u**3 - 22*j**3*t*u**3 + j**3*t*u - 3*j**2 + 497*j*t**2*u**3 + 2*j*t*u**3 wrt t.\nAnswer: 4*j**3*u**3 + 994*j*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1485 - 1318 + 331 - 158 - 89 + 2863*l**4 with respect to l.\nAnswer: 11452*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1203482.\nAnswer: 2, 7, 31, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 8:11 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -76 + -3?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - -2 - (7 - 4 - 11) - 11?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-12) + 3 - (5 + 180\/(-27))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 966 and 337050.\nAnswer: 7752150","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 2:59 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 7 + 3)*(2 - 2 + 3)*(0*h**4 - 2*h**4 + 3*h**4) in the form x*h**4 + z*h**2 + q*h + g + w*h**3 and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15.357 + -16.127. What is the biggest value in 2, c, -0.057?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123593, 247087, 370583, 494081, 617581, 741083, 864587?\nAnswer: 988093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91 + 55 - 83)*(-5 + 5 + 2*p).\nAnswer: -238*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2) + 28 + (-52)\/(-104).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -5)*((-26)\/8 + 0). Does 6 divide 6\/10 + j\/(390\/1032)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*k - k + 3*k)*(2 - 1 + 0) + (3 + 0 - 1)*(2*k + 4*k - 4*k) + 0 + 0 + 2*k - 26 + 14*k + 26 in the form n + q*k and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70903 - 70903 + 100*y)*((1 - 4 + 2)*(1 - 1 - 1) - 2 + 1 + 2 - 1 - 2 + 4 + 2 + 4 - 5).\nAnswer: 400*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**1)\/d*d)**(-40))**14 assuming d is positive.\nAnswer: d**(-1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -244 + 246. Let o be (-40)\/(-3) + ((-80)\/15 - -6). Solve 4*a = -5*j - 2 + o, n*j - 10 = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 6:00 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 25036*g - 78350162.\nAnswer: -2*(g + 6259)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 13 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*f + 75*f = -96*f + 342 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 75931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 377*q**5 - 11*q**4*t**3 - 39*q*t**3 - 2*q*t - 23*t**2 wrt q?\nAnswer: 7540*q**3 - 132*q**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -2\/11, -2\/9, -0.09, -2, -1\/136?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.31, 0.03, -1, -3 in ascending order.\nAnswer: -3, -1, 0.03, 0.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 520783 or 520782?\nAnswer: 520782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -377\/56? (a) -5 (b) 0.5 (c) -84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1281)\/(-16226))\/(6\/8*-1)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 25 - 5249\nAnswer: -5224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-5\/7)\/k**19)**(-25))**(1\/45))**(-42) assuming k is positive.\nAnswer: k**(-460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 814855 - u - 814843.\nAnswer: 2*u + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**5\/9 - 11876*m**4\/9 + 9176356*m**3\/9 - 58858124*m**2 - 185786392*m = 0. What is m?\nAnswer: -3, 0, 66, 1453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fym. What is prob of picking 1 f and 2 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10114053 (base 6) in base 13?\nAnswer: a1c55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 8*b + 68 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 v, and 1 z when three letters picked without replacement from {z: 1, v: 1, e: 2, p: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3 - 14*v + 5 - 2. Let k(d) = d. What is n(k(o))?\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 50*h**2 - 336*h + 5. Calculate n(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 24 = 2*a, -4*a + 7*a = 4*y - 62. What is the third derivative of y - 7 + r**4 + 7*r**3 - 2*r**2 - 9 - 5*r**3 wrt r?\nAnswer: 24*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20938?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*(-23782)\/(-2585)?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 9:53 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2407 - 6414?\nAnswer: -4005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/4, -6, -2\/3, -1, 4, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 5265*x**3 - 2*x**2.\nAnswer: -5265*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49808 divided by -24904?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (2 + (-3 - -2) - 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 9:15 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 4*b + 52 = 0, 37*c + 311 = 778*b - 781*b for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3396988.\nAnswer: 2, 7, 121321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/7341 - 349949\/205548. Let z = -1\/28 - p. Let u = -1815 + 1811. Sort -0.06, z, u.\nAnswer: u, -0.06, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22\/220*32\/2*10\/(-4). Sort 1, u, 3, -47, -21 in descending order.\nAnswer: 3, 1, u, -21, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/1080560 and 47\/416?\nAnswer: 2161120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/(((r*r*r\/r**(8\/7))\/r)\/r*r)))\/r**11*r**4*r**(-2\/25)\/r assuming r is positive.\nAnswer: r**(-1439\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 6:08 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-20))\/l**(-6\/11) assuming l is positive.\nAnswer: l**(237\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-125)\/(-15))\/((-61)\/183)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109822 to the power of 1\/2, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3 + 6 - 2 - 5 - 3. Let q(n) = n - 4. Let j(x) = 5*x - 20. Let r(u) = -2*j(u) + 11*q(u). Let s(z) = r(z) - 4*y(z). Let i(a) = 34*a. Calculate s(i(f)).\nAnswer: 34*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 199101755 divided by 1.\nAnswer: 199101755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 - -137\/3. What is the nearest to m in 3\/2, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 81, 67, 63, 75, 109, 171?\n\"Answer: i**3 - i**2 - 18*i + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2433 - 2438. Let j be 20\/11 + 2*-1. Let s = 57\/4 + -14. Sort j, s, n in descending order.\nAnswer: s, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + 24241?\nAnswer: 24311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + 0)**2*-1 + -6*(sqrt(320) + 2*sqrt(320)).\nAnswer: -144*sqrt(5) - 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, j: 4, z: 1, x: 3}. What is prob of sequence xzx?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28556 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 125454040 + -35?\nAnswer: 125454001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.7867 rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 94.68 - 94.58. Put -0.3, a, -0.7, -5, 4 in increasing order.\nAnswer: -5, -0.7, -0.3, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**1)\/o)**37)**6*o**(1\/7)\/o*o\/(o\/(o\/(o*(o\/o**(-2))\/o)*o)*o)*(o\/(o*o\/o**(4\/3))*o)\/o**4 assuming o is positive.\nAnswer: o**(4546\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18291 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12220231 (base 4) in base 3?\nAnswer: 1101021201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.02309 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 9630.331 to the nearest one hundred.\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22284940*x + 7 + 22284933*x - 7.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 114, 116, 118, 120, 122?\n\"Answer: 2*w + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**4\/4 - 17*k**3\/3 - 18*k**2 - 20*k - 138. Calculate the smallest common multiple of 24 and t(19).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25240525136 + 0.1?\nAnswer: 25240525136.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -252.51 + 94.51. Which is greater: h or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2+513\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 1\/559 (c) 1\/3 (d) -0.032 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -572 + 567. Let v(b) = -b**2 - b + 1. Let l(q) = q**3 + 5*q**2 + 2*q - 5. What is m*v(x) - l(x)?\nAnswer: -x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 2)*-74 - (-28 - -34). Which is smaller: w or 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 37120*l**2 - 70819945*l + 7095788930.\nAnswer: -5*(l - 3659)**2*(l - 106)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -6 + 2*s - s**2 + 5\/6*s**3 - 1\/3*s**4 + 1\/20*s**5. Let l(z) be the first derivative of y(z). Determine h so that l(h) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -1 - (-19 + 10 + -22 + 7).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -243224340424?\nAnswer: 243224340432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1554\/(-666))\/(8 - 1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 306376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5175560.\nAnswer: 2, 5, 13, 37, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 8 - 14, 3*d + 5*u = 14. Suppose 6 = d*h - 6*h. Let v be (-1 - 5)\/h - -2. Solve v = -4*m + 20, -p + 2*m - 6 = 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000224 rounded to 5 decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*b + 14 = 6*u, -2*b = u + 4. Solve u*q = 2 + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g**2 - g**2 - g**3 + 2*g**4 + 2 - 9*g**2 as j + q*g**2 + v*g**3 + z*g + u*g**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3693381 a multiple of 1103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 242. Let q(t) = 2*t + 484. What is -13*o(s) + 6*q(s)?\nAnswer: -s - 242","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.126 in -0.105, 0.1, -21, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8181831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-136)\/20 + (-6)\/(-10). Let y = m - -6. Let v = -12\/13 + 23\/39. Which is the third biggest value? (a) y (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/3)\/(h*h**6) assuming h is positive.\nAnswer: h**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 518*z - 10. Let x be a(5). Let l = -1590 + x. What is l rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 20 = j, 42*v = 2*j + 43*v - 13. Solve -j*s - 26 = -a - 30, -2*a - 2 = -4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, g: 6, y: 1, m: 10, l: 2}. Give prob of sequence me.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + 101000?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 3*n**4\/4 + 3*n**2 + 5*n + 1. Let a = -156 - -122. Let m be a + 37 + (0 - 0) + 3. Let d(r) = r + 1. Give m*d(z) - f(z).\nAnswer: -3*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-3)\/((-180)\/(-453)) - (-43)\/(-860)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.38 + -6.98. Let l = -6.59999891 - q. What is l rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*a**2*f**2*i - 30*a**2 - 2*a*f*i**3 + 21*a*f*i + 6*f**2*i**3 - f**2*i**2 wrt f.\nAnswer: 18*a**2*i + 12*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 588 and 644.\nAnswer: 13524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 5*q = -24, 6*a + 2*q = 2*a - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 3*g + 13. Suppose 373 = -3*t + 5*r, 3*t + 149 = -5*r - 174. Let x = t + 122. Determine b(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaxa. What is prob of sequence xa?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**2*q**3 - 172*l**2 + 19*l*q**2 - 5*l*q + 541*q**2 wrt q.\nAnswer: -6*l**2*q + 38*l + 1082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 1:26 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -301570 divided by 5.\nAnswer: -60314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 1. Let q be l(3). Sort -4, q, -1 in descending order.\nAnswer: -1, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 + 8*m**2 + 9*m - 17. Calculate y(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8194226, 32776946, 73748146, 131107826?\nAnswer: 204855986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -27*u**3 + u**2. Suppose 44*r - 47*r - 3 = 0. Let a be o(r). What is the second derivative of -17*t - 6*t - 9*t**2 + a*t**2 + 8*t wrt t?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2) + 3051\/54. Suppose 0 = -i + 3*h - 6, 0 = -2*i + h + 4*h - 10. Suppose -4*m = -i*m - q. What is the greatest common divisor of 56 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353b95 (base 12) in base 5?\nAnswer: 204411212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from {q: 2, z: 3, g: 1, h: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204022.\nAnswer: 2, 7, 13, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 5*m = -20, 457*m + 10 = -y + 453*m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 144728 and -14.6.\nAnswer: 144713.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2\/k)\/(k\/(k**(2\/17)*k))*k*k**(-1\/5)*k**(-6)*k assuming k is positive.\nAnswer: k**(-262\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-108)\/(-10) - 5\/(-25)) + (-30940)\/3332. Suppose 9\/7*a**3 + 0 + o*a**4 - 12\/7*a**2 - 9\/7*a = 0. Calculate a.\nAnswer: -1, -3\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -5200*v**5\/3 + v**4\/24 - 5*v**3\/6 - 5*v**2. Let l = 6 + -1. Let i be c(l). Round i to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1720 and 1060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 111, 143, 207, 315, 479?\n\"Answer: 2*x**3 + 4*x**2 + 6*x + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yxfxxxyhyh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one fifth of a microsecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 - 1. Let p = 31\/36 - 10\/9. Which is the second smallest value? (a) p (b) l (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001745740577 rounded to five dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.5 - 3. Let k be (4\/(-3))\/((-16)\/24). Let l be (-7)\/(-98) + k\/(-4). What is the second smallest value in -1\/7, f, l?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25946?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656 is divided by 611?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6177?\nAnswer: 3, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -427372 smaller than -427371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.6? (a) -1\/9 (b) -0.0214 (c) -0.3 (d) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -500*q**3\/3 + 1291*q - 256. Find the first derivative of d(u) wrt u.\nAnswer: -1000*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 3*z - z. Let b(v) = 7*v - 299. Let a be b(57). Let s = a + z. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 161928\/5 - 32385. Solve 1\/5*p**3 - 1\/5*p + 1\/5*p**4 + 2\/5 - o*p**2 = 0 for p.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -9*j**3 - 77*j**2 + 510*j + 3801. Calculate w(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -b + 1. Let y(w) = w**2 - 12*w - 46. Let m be y(16). Let z = b - m. Calculate the remainder when 3 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 15*g - 108. Let d = 2 + -23. Let z be o(d). Solve -2*s - 2*t = -0*s - z, -4*t = -16 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(132) + sqrt(132) + -1*sqrt(132) - sqrt(132))\/sqrt(3))\/(sqrt(4) - -1*2*sqrt(4)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (8 - (-955)\/50) + -1 + (-3)\/5 and (-2 - -4) + 508\/(-48).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.2. Let g = -149.7 + 29.7. Let b = -119 - g. What is the third biggest value in w, b, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 2:48 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - j + 2, -6*r + r + 5*j = -30. Let c(l) = r*l + 2 + 4 - 5*l. What is the units digit of c(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**3\/7 - 588744*b**2 + 32969712*b\/7 - 65939456\/7 = 0.\nAnswer: -4121216, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -222102000 (base 3) to base 14\nAnswer: -7031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/195)\/((-1)\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-81) - (-220)\/(-18). Let l = 16 + q. Solve -l*v - 15 = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16697 (base 10) in base 8?\nAnswer: 40471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*d**2*r**2 + 9*d**2*r - 52811*d**2 - d*r + r**2 wrt r.\nAnswer: 72*d**2*r + 9*d**2 - d + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 5636*t.\nAnswer: 4*t*(t + 1409)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -149.4273 rounded to 1 dp?\nAnswer: -149.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-80)\/(-20))\/((-2)\/(-1497))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/160 or 0?\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (0 - (1 + -3)). Let s(j) = j**2 - 5*j + 5. Let w be s(4). Solve y - z = -w, 23 = y + 4*y + m*z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -25835, -25837, -25839, -25841?\n\"Answer: -2*w - 25833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -8*w**2 + 2*w + 5. Let s(z) = -9*z**2 + 2*z + 6. Let l = -11 + 16. Let u(q) = l*s(q) - 6*b(q). Find the second derivative of u(k) wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/1573 in -88, -0.07, 0.3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83*q - 91*q + 24 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, p: 2, f: 3, q: 1, w: 2, n: 1}. What is prob of picking 1 n, 1 q, and 1 p?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + -21 + 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2501 plus 3?\nAnswer: -2498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2766?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2786, -2787, -2788, -2789, -2790, -2791?\n\"Answer: -n - 2785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 10. Let p = 2 + 4. Let k be f(p). Solve k*i + 2*r = 0, -5*r + 10*r = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11610 and 180?\nAnswer: 23220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 divided by -131827.\nAnswer: 63\/131827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21661*d**3*n**3 - 7715*d**2*n**2 - 5*n**3 wrt d?\nAnswer: 129966*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2. Let y(o) = 74*o. What is y(x(z))?\nAnswer: 148*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 16*q + 0*q**4 - 3\/160*q**5 + 0 + 0*q**2 + 1\/240*q**6 + 1\/12*q**3. Find b, given that s(b) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 70, 75?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3368 is divided by 195?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + 12. Let g = 57 - c. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 54*b**2 - 352*b + 504.\nAnswer: -2*(b - 18)*(b - 7)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, m: 2, s: 3, l: 1, f: 5, a: 7}. What is prob of picking 1 f, 1 s, and 2 m?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x + 4*x + 3*x + 0*x. Let b(v) = 3*v**2. What is b(l(k))?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106 - -228. Is k a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75.19 + 75.82. Round w to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356428.\nAnswer: 2, 89107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 11*f**2 + 6*f + 11. Is g(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(2 - (-12)\/(-8)). Let y be (x - -3)*(6 - 1). Suppose -y*k = -n - k + 27, -34 = -2*n + 4*k. Is 9 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769 is divided by 78?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 18 = 3*y, -32*h + y = -37*h + 14. Solve -k - 2*x = x - h, 4*x = -4*k + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 13 + 2 = 0. Suppose -3*l - i = -0. Which is the closest to l? (a) 1 (b) -1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1 (b) -8\/7 (c) -155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a + 4*u = -21, 0 = -a - 2*u - 15. Let k = a + 80. What are the prime factors of k?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 3:00 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.10629t in grams?\nAnswer: 48106290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnkdnnnpkn. What is prob of sequence nndn?\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/12665 and -43\/510.\nAnswer: 75990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, 2, 0.162, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -431, -898, -1365, -1832, -2299, -2766?\nAnswer: -3233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 11:55 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1102, 1229, 1356, 1483?\n\"Answer: 127*c + 975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/49 and 53\/105.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 114 + 0. Let j = -113.9999797 + g. What is j rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-3)\/(-900)*(-6)\/(306\/(-85)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 624*a + 79709. Determine m(179).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2*v + 54, 0 = -5*a + 5*v + 16 + 224. Solve 79*c - 72*c - a = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 1050 = 2*a, 3*a - 7*z + 12*z + 1551 = 0. Let x = 1427 + a. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)\/sqrt(81) - (sqrt(34) + (4*sqrt(1666) - sqrt(1666)) + sqrt(1666)))\/(-3*1*(sqrt(32) + sqrt(32) + (sqrt(32) - 2*sqrt(32)))).\nAnswer: 43*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -27*f**4\/4 - 2*f**3\/3 - 5*f**2\/2 - 2*f + 163. Let x be n(-1). What is the highest common factor of x and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((516\/(-774))\/((-68)\/(-78) - 1))\/((-74)\/(-555))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48\/139 - 619\/1390. Let b = -205 + 3077\/15. Sort q, -0.4, b.\nAnswer: -0.4, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 - 11*n - 20. Let j be l(-6). Let p = j - -45. Suppose s = -14 + p. Solve -5*q + 6 = s*c - q, -3*c = 2*q - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -16b6d?\nAnswer: 16b68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.028166347 to 4 dps.\nAnswer: -0.0282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*l - 36*l = 0. Suppose -8*v + 8 = -l*v. What is the greatest common factor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 518\/(-104))\/((-910)\/(-845)).\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/15))**(-1\/4)\/((r\/r**(1\/4))\/(r\/r**(-19))) assuming r is positive.\nAnswer: r**(571\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -6. Let h = 18 + -42. Calculate the lowest common multiple of x and 66\/(-8)*(0 - h\/(-9)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, t: 1, e: 1, m: 1, j: 1}. What is prob of picking 1 m and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -3 - -2 - (0 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 115?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -10) + (-5 - (-2 - -6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-104)\/20*((-40)\/(-36))\/(26780\/(-468) + 57)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 27. Suppose -o + 0 = -13. Let k be c(o). Let b = 7 + k. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -6*l - 45. Let o be l\/2 - (4 - -1). What is the third biggest value in 4, o, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2201 - -1966. Let f be ((-192)\/20)\/((-4)\/150). Let c = f + l. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-2\/3))**(-17))**19)**(17\/3) assuming l is positive.\nAnswer: l**(10982\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.102 (b) -6 (c) -1 (d) 3 (e) 1\/4 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1006014, -1005997, -1005980?\n\"Answer: 17*b - 1006031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 297 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -321513, -321458, -321395, -321318, -321221?\nAnswer: -321098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.1 - -0.9. Let l = 0.01114 + -0.01114. What is the closest to l in -0.1, y, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 19 = -16*g. Which is the nearest to 2\/11? (a) -0.4 (b) -4 (c) 4 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c**2 + 9*c + 25. Calculate x(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 41?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 143741240?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/8100 and 187\/71550.\nAnswer: 429300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2*(-153)\/51\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -98767480, 4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -221012 - 1?\nAnswer: -221013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/41)*k)\/k**(-1\/5)*k**(17\/3)*(k\/(k**(7\/6)*k)*k)\/k*k*k*k assuming k is positive.\nAnswer: k**(3587\/410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12387722 is divided by 18656?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 5000.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 134. Let f = x - -103.9999838. What is f rounded to 6 dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -2*k**5\/15 + k**4\/12 + 55*k**3\/3 - 39*k**2. What is the derivative of l(b) wrt b?\nAnswer: -16*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 61129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 9 = -3*j, -j + 5*y - 9 = -2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/159, -2\/1027, 1, -18\/11 in increasing order.\nAnswer: -18\/11, -2\/159, -2\/1027, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 5) + -2 - -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a - 29. Let x be d(-7). Let c = 48 - x. What is the greatest common divisor of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 103*s**3 - 2*s - 102*s**3 - 2*s**2 - 7*s**4 + 3*s**4 + 0*s**2 as n*s**3 + f*s + v + h*s**2 + d*s**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 1, -2, 9 in descending order.\nAnswer: 9, 1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4, -69\/10, 0.2, -1\/6, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 6:40 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/14*(-7)\/21. Which is the nearest to -1? (a) h (b) 0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2 + 8661*u**2 - 8768*u**2 - u as c + g*u**2 + k*u and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/7 (b) 0.35 (c) -2 (d) 0 (e) 152 (f) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5218872 is divided by 3582.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 18*q + 1 + 4 - 5 to the form x + m*q and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3536\/1905243?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -2 - 9\/4*k**4 + 3\/5*k**5 + 6*k**2 + 0*k**3 + 0*k. Factor b(s).\nAnswer: 3*s*(s - 2)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 + 2787812*f\/7 - 971486968418\/7.\nAnswer: -2*(f - 696953)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-93)\/13 + (-1)\/(-26)*4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + h - 155 - 994, -5*g - 2*h - 1152 = 0. Let b be (g\/(-69))\/((-10)\/(-12)). What is the nearest to 0.2 in b, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245815617 a multiple of 771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 + 45*u + 18. Let m be k(-22). Let c be (-4)\/((-8)\/(-4)) + 8. Let w = -11 + c. Put 1, w, m, -3 in increasing order.\nAnswer: w, m, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 3*k - 485, -k - k = -4*p + 490. List the prime factors of p.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21197 + 148377\/7. Do j and -1271 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3813 minus 5?\nAnswer: 3808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 11:51 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4) - (-1 + (-45)\/60). Suppose 0*h = 3*h + r - 952, 0 = -5*h - 5*r + 1590. What is the derivative of 8*a**3 + h*a**2 - 317*a**o - 13 wrt a?\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8429266 to the nearest integer?\nAnswer: 2903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 270 and 315.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9208 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*7547\nAnswer: -3773.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 32\/55, 1\/4, 11, -0.4?\nAnswer: 32\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 216, 472, 830, 1290?\nAnswer: 1852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, m: 1, i: 2, a: 1, f: 2}. What is prob of picking 1 f and 1 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 138366.4mm in centimeters?\nAnswer: 13836.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -10*q + 3*r + 36, 5*r = 3*q - 30. Solve 20*i = q*i + 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3579 and -75.6?\nAnswer: 3654.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0247 * -0.7.\nAnswer: 0.01729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**3 + 44*q**2 - 21*q - 39. Let b(c) = -c**3 + 15*c**2 - 7*c - 13. Let v(p) = 17*b(p) - 6*g(p). Let d be v(8). Solve 0 - d = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-3 + 2 + 4)*(6049*x**4 + 0*x**3 + 0*x**3 - 4550*x**4).\nAnswer: -4497*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + m - 40. Let w be k(6). Solve -g - w*u + 9 = 0, -4*u = -10 - 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 13*h**3 - 6 + 10*h**2 - 25*h**3 + 13*h**3 + 7*h. Let z be v(-9). Let c be (z\/(-16))\/(6\/24). Sort 5, 0, c, 7 in decreasing order.\nAnswer: 7, 5, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/1)\/(1350\/270).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16611.\nAnswer: 3, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a week?\nAnswer: 336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 93268147?\nAnswer: 93268146.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - t**2 + t + 853. Let i = 23 + -20. Suppose i*y = 7*y. Is w(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -5. Calculate the remainder when 67 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -642*a**3*x**2 - 35*a**3*x - 2*a**3 - 3*a**2*x**2 + 244457*a*x**2 wrt a.\nAnswer: -3852*x**2 - 210*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -3)\/(8\/(-24)). Sort m, -11, -1, -4 in ascending order.\nAnswer: -11, -4, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svlblublllbbhlll. What is prob of picking 1 v and 1 l?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s + 8. Let u = -1998 - -1996. What is d(u)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 1. Let n(b) = -b. Let u be n(6). Let c(g) = g**2 - 3*g - 3. Let p(t) = u*z(t) + 2*c(t). Let f(r) = 4*r. Give p(f(l)).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 4. Suppose -2*k - 2*k = z - 8, 2*k - c = 0. Let d = -4 + z. Solve m + 3*x + 11 = d, m - 4*x = -6*x - 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j. Let u(n) = 20*n + 1810. What is l(u(p))?\nAnswer: -60*p - 5430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 j when four letters picked without replacement from {p: 3, j: 15}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1058364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14762*k + 56 = 14790*k. Solve m - u + 2 = 0, -5*m - 13 = -k*m + 4*u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b**2 - 745*b + 6963. Give h(139).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 11:45 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 23*s - 22*s + 6, 5*n = 10. Let o(w) be the second derivative of 0 - 7\/2*w**s + 0*w**3 - 3\/2*w**5 + 0*w**4 + 37*w. Differentiate o(t) wrt t.\nAnswer: -90*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -959 + 1110. What is the remainder when h is divided by 54?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-5) + 2\/5. Let o = -1644 - -1792. Suppose -k*b + o - 24 = 0. What are the prime factors of b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 6:21 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22315 - -111577\/5. Let q = 0 + -2. What is the biggest value in 5, w, 4\/9, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 1560?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36880604.17 rounded to the nearest one million?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u + 2*u**2 + 4*u + (33*u + 26*u - 12*u)*(2 - 2*u - 2).\nAnswer: -92*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 219030 and 22925?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1473403469061 and 3.\nAnswer: -1473403469058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(-i**2 - i**2 + 5*i**2) + 3*i**2 - 1 + 1 + 3*i**2 - 6*i**2 + i**2.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 9:49 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 117*l**3 - 119249202*l**2 + 30385407578304*l + 1558226343264.\nAnswer: 3*(l - 509612)**2*(39*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -11. Is -18*(-3 - -1) - r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -3*l + 8. Let a = 4155 + -37468\/9. What is the common denominator of a and -4 + l*5\/18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*z = 0. Let s = -422.538 + 423. Let m = 0.038 + s. Which is the third smallest value? (a) -3\/2 (b) z (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*c**2 + 31*c**3 + 0*c**3 - 6*c**2 + (2*c + c - 5*c)*(-2 + 3 - 2)*(176 - 176 - 105*c**2).\nAnswer: -179*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -683750, -1364441, -2045130, -2725817, -3406502, -4087185?\n\"Answer: b**2 - 680694*b - 3057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.8 - 2.2. What is the nearest to 0.1 in w, -0.1, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 221*r - 454. What is f(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/10)\/(12\/(-120)). Let g(r) be the third derivative of -1\/80*r**5 - 3*r**2 - 1\/24*r**3 + 1\/32*r**u + 1\/480*r**6 + 0 + 0*r. Factor g(j).\nAnswer: (j - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from slssls. Give prob of sequence slls.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 17*t - 68 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -8718\/12901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -100206831\nAnswer: 100206830.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-299)\/345*(-1158)\/(-12545).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/20 of a day in seconds?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1164)\/(-1176) - 1)\/((7\/(-6))\/7). What is the third smallest value in -0.3, p, -3\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from dggddddddddd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 12*x**2 + 11*x + 10. Let v be j(-11). Suppose -102 + v = -4*o. Calculate the remainder when o is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -7. Let g(w) = 6*w - 2. Let j(c) = 17*c - 6. Let i(v) = 24*v - 61. Let a be i(3). Determine a*g(r) + b*j(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6053, 6054, 6055, 6056, 6057, 6058?\n\"Answer: u + 6052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*c - 5*c - 2350 = 0 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 10*g - 10. Let x(b) = 1. What is d(w) + 3*x(w)?\nAnswer: 10*w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 582745406488 and 0.13.\nAnswer: 582745406488.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*h - 24 = 0. Let i be h + 20*4\/8. Suppose -3*y + i = 0, -2*b + 3*y + 186 = b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 - 6*w - 6. Determine d(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1573)*-4 + -3 + -6*(sqrt(1573) + 5 + (-1*sqrt(1573) - sqrt(1573)) + sqrt(1573)))**2*2.\nAnswer: 5808*sqrt(13) + 52514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2055*n**2*w**2 + 2*n**2*w + 128*n**2 + n*w**4 - n*w - 21*w wrt w?\nAnswer: -4110*n**2 + 12*n*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87037 is divided by 4147.\nAnswer: 4097","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v**15*v*v))*v)\/v*(v**(-25)\/v*v)\/v*v**25*v**(5\/4)\/v assuming v is positive.\nAnswer: v**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72\/7, -2\/7, -252 in decreasing order.\nAnswer: -2\/7, -72\/7, -252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, b: 2, z: 9, p: 1}. What is prob of picking 2 z and 1 p?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-24)\/224)\/(-1).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + -92 + 112 + (-16 - 2).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*s - 5*s - 38*s)*(-2 + 5 - 2)*(s + 2*s + 0*s).\nAnswer: -90*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**7\/5040 - j**5\/30 - 38*j**2. Let m(y) be the third derivative of b(y). Let t(s) = -73*s**2. Determine t(m(d)).\nAnswer: -73*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 + -8 + 11 + (-2 - (-18 + 11))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 3:55 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/4698 and -71\/99441.\nAnswer: 596646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36539*c**3 + 2*c**2 + 4447*c - 3?\nAnswer: 219234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -34371b - 4?\nAnswer: -343723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 24923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -519 in descending order.\nAnswer: 1, -1, -519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/3396 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -979 - -44054\/45. Which is the third smallest value? (a) -3 (b) 2\/3 (c) -1 (d) -0.5 (e) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 - 10*m**2 + 7*m + 13. Let p(u) = -u**3 + 6*u**2 + 23*u + 14. Calculate the remainder when p(8) is divided by t(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, o: 3, u: 2, i: 2, l: 4, q: 2}. Give prob of sequence uio.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2 - 4 + 2*w + 10 - 2. Give j(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 8*a - 11. Let b be y(7). Let r(u) = -2*u**3 + 6*u**2 - 2*u - 9. Is r(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 0.2 (c) 1205 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1102101 (base 3) to base 7.\nAnswer: -3010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-395)\/10)\/((-3)\/(-18)). Let k = 247 + u. Calculate the remainder when 317 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 5731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 644, 653, 662, 671, 680, 689?\nAnswer: 698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-3)*18\/(-12). Solve c - 9 = -4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 4\/8*(6 - -12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j - 384 = -504. Let l(z) = 10*z + 65. Calculate l(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65*(-4)\/((-7)\/((-7)\/(-10)))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 293 - 194. Let i be 157 + -70 - 675\/(-15). What is the highest common factor of i and l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5766.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62 - 229 + 120)*(0*g**3 + g**3 + 0*g**3).\nAnswer: -171*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m = 28*m + 17 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/3))**(2\/77) assuming m is positive.\nAnswer: m**(8\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + (sqrt(153) - (sqrt(153) + 5*-2*sqrt(153))) + 1*sqrt(153)*6)\/(5*sqrt(63)\/sqrt(112)))**2.\nAnswer: 78608\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16748103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67994 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -21?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -11. Factor -45*u - 78*u**2 - 150*u**3 - 4 + w*u**2 - 90*u**4 - 2 - 21*u**5 - 51*u**2.\nAnswer: -3*(u + 1)**4*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -120*g**3 + 2870*g**2 - 47520*g + 267780. Let q(a) = 11*a**3 - 261*a**2 + 4320*a - 24344. Let i(p) = -6*n(p) - 65*q(p). Factor i(z).\nAnswer: 5*(z - 19)*(z - 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 1:32 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -6*n + n. Let z(p) = -p**2 - 20*p + 12. Does 12 divide z(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -404*t - 45272. Calculate p(-111).\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.66 - -30.66. Let z = -35 + m. Let a = 572.94 - 573. Put z, -1\/2, a in increasing order.\nAnswer: z, -1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4 + 16760*r**3 + 5529076*r**2.\nAnswer: 4*r**2*(r + 361)*(r + 3829)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/5 + 1858*d**2\/5 + 58688*d\/5 + 467456\/5.\nAnswer: (d + 16)**2*(d + 1826)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 - 326*j**3 - 320*j**2 + 648*j.\nAnswer: -2*j*(j - 1)*(j + 2)*(j + 162)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y + 1. Suppose 0*j = -5*j. Suppose 3*r + j*r = 27. Calculate the remainder when x(5) is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 65839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 6*n**2 - 6*n - 1. Let t(g) = 4*g - 7. Let l be t(3). Give x(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**3 + 4*q**3 + 6*q + 11*q - 6*q**3.\nAnswer: q**3 + 17*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89\/9 + -11. Let v = 0 + 6. What is the common denominator of (201\/(-9))\/((-4)\/v) and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3489212 is divided by 1123.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 12, 30, -103, 5 in ascending order.\nAnswer: -103, -2, 5, 12, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-532)\/(-36) - (-2)\/9. Let v = r + -12. Suppose -3 = -w + 1. Put w, v, 0 in ascending order.\nAnswer: 0, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 1. Let l(v) = -11*v**2 - 4*v - 6. Let f(m) = -6*i(m) - l(m). What is the second derivative of f(x) wrt x?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**8\/6720 + v**6\/360 - v**5\/15 + 8*v**2. Let a(r) be the third derivative of n(r). Find the first derivative of a(d) wrt d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x - 3*x + x)*(2*x**2 + 2*x**2 - x**2) + 0 - x**3 + 0 + 5*x**3 - 6*x**3 - 14*x**3 to d + b*x**2 + p*x**3 + w*x and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -102 - -36. Suppose 5*q + 5*p = 137 + 203, -3*q - 4*p + 200 = 0. Let f = i + q. Solve -12 = -2*w + f*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -68772, -68777, -68786, -68799, -68816, -68837?\n\"Answer: -2*w**2 + w - 68771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7432021 centuries to months.\nAnswer: 891.84252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 275, 744, 1453, 2402, 3591?\nAnswer: 5020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*m + 25. Let b = m + -9. Suppose 0*a = a - b. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114403143 (base 6) in base 9?\nAnswer: -4078570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 91827*t*z**2 + 4*t*z - 395126*z**2 wrt t?\nAnswer: 91827*z**2 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*l + 134*l + 1320 = 4*a, -5*a = 2*l - 1650. Calculate the remainder when a is divided by 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 + -3 - (-1 - -1). Let r(x) = x - 1. Let b be r(f). Suppose 68 = 4*g - z, 56 = -0*g + 2*g + b*z. What is the remainder when 52 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 643.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14157 and 0.1?\nAnswer: -1415.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**8\/42 - 2*p**7\/35 - 4*p**6\/15 - p**5\/5 + 34*p**2 - 2*p. Suppose y(o) = 0. What is o?\nAnswer: -1, -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -35*q - 60. Suppose 4*i - v = v + 50, 4*i = -3*v + 75. Let k(m) = 9*m + 15. Let a(b) = i*k(b) + 4*z(b). Find the first derivative of a(g) wrt g.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-66)\/(-9))*(-17)\/(17\/18)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 666\/185 - (4 - 0). Sort -0.78, 1, p in decreasing order.\nAnswer: 1, p, -0.78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l**3 - 2*l + 2*l)*(-2*l + 2*l + 4*l) + 7*l**4 - 22*l**4 + 6*l**4.\nAnswer: 15*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 566 = 4*a - 166. What are the prime factors of a?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-24 - (-18 + 9)) + 10 - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -460 = -63*w + 170. Let z(k) = k + 8. Calculate z(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 46 and -117.1?\nAnswer: 163.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4395 is divided by 1076.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 8*c**3 - 74*c**2 - 55*c + 158. Is x(35) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86\/51 + -343\/1020. Find the common denominator of 9\/16 and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 584894447 to the nearest integer?\nAnswer: 24185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*p**2 + 0*p**2 + 2*p + 68*p**2 - 14*p**2 + 6.\nAnswer: 129*p**2 + 2*p + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.035 - 3.035. Let k = -3.2 - r. Which is the second biggest value? (a) -0.4 (b) -0.1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1932 = -366*o + 389*o. Let h(u) = 7*u**3 - u**2 - u - 1. Let n be h(-2). Let y = o + n. Calculate the remainder when 70 is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**7\/420 + i**6\/40 + 23*i**5\/120 - 5*i**4\/4 + 8*i**3\/3 - i**2 + 122. What is j in t(j) = 0?\nAnswer: -4, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10043797?\nAnswer: 421, 23857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -8. Suppose -6*j = -j - 330. Suppose x*q = 78 + j. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 30*g**2 + 4*g**3.\nAnswer: 4*g**3 - 30*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -297348765 divided by 46165.\nAnswer: -6441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n**(-15\/7)\/n)\/n))\/n**(-2\/121))\/(n\/(n\/n**(2\/57))*(n*n**(-3\/23))\/n) assuming n is positive.\nAnswer: n**(5834945\/1110417)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 3*h - 40. Give a(-17).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a = 20*a + 2. Let f be ((-3)\/a)\/((-9)\/24). Suppose -f*y + 1044 = 4*j, -9*j - 273 = -y - 4*j. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, p: 12}. What is prob of sequence vp?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**5\/7 - 38*d**4\/7 - 320*d**3\/7 + 800*d**2\/7 = 0?\nAnswer: -20, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/a**6)\/a)*a**(-6)\/a*a*a**(-3)*a**(3\/8))\/(a*a\/(a**(-2\/21)\/a)*a*a*a**(-4)*a\/((a**(-1\/3)\/a)\/a)*a**(-2)) assuming a is positive.\nAnswer: a**(-227\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72 + 71.96. Let h = 0.46 - i. Let x = -0.3 - -0.28. Which is the nearest to -2\/5? (a) h (b) x (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*2\/(-9)*108\/(-96).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 0*k**2 - 3 - 1 - 5*k**2 - 5. Let l(j) = j. Determine g(l(q)).\nAnswer: -5*q**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 191*v + 2 + v**3 + 10 - 182*v + 11*v**2 - 3*v**2 + 0. Determine w(-8).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 5*i - 4. Let w be y(3). Suppose -7*q + 22 + w = 0. Suppose -q*d + 67 = -5. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 383020?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 17.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25293 greater than 10323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -103*h + 326*h + 596 + 3195 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29805 and 3?\nAnswer: 29805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1817102076 to the power of 1\/5, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 - o**3 + 2*o**4 - 35*o**4 + 400 + 0*o**2 - o**2 - 396 + (3 - 3 - 2*o**4)*(-2 - 3 + 2) + (0 - 2 + 4)*(-2*o**4 + 2*o - 2*o).\nAnswer: -31*o**4 - o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5649.31 - 1.31. Let m = 5648.0002631 - x. What is m rounded to 5 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-49)\/m**(-25\/7))\/((m**22\/m)\/m**(-1\/32)))**(-4\/23) assuming m is positive.\nAnswer: m**(14887\/1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 934\/141 - 20\/3. Is j less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/3*(-316)\/1185\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67 + 112. Let u(c) = -c**2 + 2*c - 1. Let g be u(1). Suppose 2*i = -5*m + 30, g = -5*m + 16 + 4. Calculate the greatest common factor of a and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00694526 + 4?\nAnswer: 4.00694526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 7 = 5. What is the third smallest value in o, 3\/7, -7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10021 (base 3) to base 10.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 2:16 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 9477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4 - 125017*w**3 + 11134524*w**2 + 11259540*w = 0. Calculate w.\nAnswer: -125106, -1, 0, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -3*k**3\/2 - 2*k. Let d(l) be the third derivative of 0 + 0*l**3 - 2*l**2 - 1\/12*l**4 - 26*l. Give q(d(o)).\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2815 + 2830. Calculate the remainder when 1289 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(2) + -3 + -5)**2.\nAnswer: -16*sqrt(17) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2105, -2599, -3079, -3539, -3973, -4375, -4739?\nAnswer: -5059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 58*s - 54*s + 31, -4*s + 6*f = 22 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.03 (b) -5\/3 (c) 2 (d) -19 (e) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9622 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2 + 19*b - 215. Calculate the remainder when q(9) is divided by 69.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b**4 + 3*b**3 - 5*b**2 + 5*b + 5. Let m(k) = -8*k**4 + 4*k**3 - 6*k**2 + 6*k + 6. Let l(u) = 5*m(u) - 6*r(u). Solve l(p) = 0 for p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2))**(-34))**(-33\/7)\/(q**(-2)*q*q**7*(q**(-1\/3))**(-9)) assuming q is positive.\nAnswer: q**(-2307\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 122235, 60, 3 in ascending order.\nAnswer: 3, 60, 122235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18534066.\nAnswer: 2, 3, 83, 37217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 267141 and 178094?\nAnswer: 534282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 26. Is (-2)\/(-3)*(b - (-4790)\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 225*c**4 - 117*c**3 + 20943*c**2?\nAnswer: 5400*c - 702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*f - 41*f = 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6\/7, 0.7, 5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13136)\/(-3) - 4\/6. Let d = r - 2977. Suppose 4*y = -173 + d. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 210 = 140. Solve b*k + 11*k = 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 220 + -463400?\nAnswer: -463150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002003 to 6 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 32*p**2 - 19*p - 79. Let a be b(33). Let l = -159 + a. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.94 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 5:59 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 9*h**2 - 9*h - 4. Let c be d(-8). Let a(y) = -8*y - 1 + 2*y - 6*y**2 + c. Let j(l) = -4*l**2 - 4*l + 2. What is 5*a(v) - 7*j(v)?\nAnswer: -2*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*y - 2 = 2*p, -5 = -5*y + 5*p. Suppose -3*d - 12 = 4*v, -2*v - 4*d - 17 + 1 = y. Solve 0*t + 13 = -3*x - 5*t, v = -2*x - 4*t - 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.19 - -0.29. Which is the third smallest value? (a) -3\/5 (b) s (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 4*v = 16, -4*v + 20 = -f - 9*v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 2*n**5\/5 - 17*n**4 + 280*n**3 - 2200*n**2 + 8000*n - 89. Factor q(g).\nAnswer: 2*(g - 10)**3*(g - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3*d + 12, m + m + d = -12. Let x = 5879 + -5881. Put x, -5, m in ascending order.\nAnswer: m, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 3*o - 4*o + (-2 - 1 + 0)*(-6*o + 2*o + 2*o))*(2 + 0 + 0)*(-5 + 1 + 10).\nAnswer: 96*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -59*s - 2. Let f(c) = -118298 + 6*c**2 + 118298 - 2*c**2. Give b(f(l)).\nAnswer: -236*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-2))\/(18\/(-9)*1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.33934 + 3.9505. Let j = b - 12.23984014. Let o = -0.05 + j. What is o rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/18 + (-292)\/(-18). Suppose -3*t + u - 1 = 0. Suppose -16 = 3*m - t*m. Sort m, -5, -2 in ascending order.\nAnswer: -5, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*u + 6, 0 = -4*u + 3*t + 27 - 4. Solve 0 = -m - 3*a + 7, m + a = u*a - 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 1 + (795 - 782)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (1 + -1) - 0. Let z = 4 - u. Let m be z\/(-4)*(-6)\/1. Solve -5*s + 10*s + 9 = m*v, 19 = -5*s - 2*v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6431625*f + 896*f**5 + 9 + 6 - 6431614*f wrt f?\nAnswer: 17920*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/20)\/(180\/(-50)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 11) in base 16?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37? (a) 3 (b) 598 (c) 236 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127838?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(153)*3)\/(sqrt(729)*-1*5 + sqrt(729)).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from esxpe. Give prob of sequence pex.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*s + 6*s - 12, -23 = -4*s + 5*v. Suppose -108 = -5*p + s. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 1579*k**2 - 72*k + 54. Is 195 a factor of w(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (1 - 13) - 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -42, -76, -112, -150, -190?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**4 + 0*a**4 - 3 - 3*a**2 + 2*a + 0*a**4 - 4*a**4 to the form h*a + i*a**2 + m + j*a**4 + r*a**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1614\/(-2152)*232\/6.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000632 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g + 12. Let l be t(-2). Let j(r) be the first derivative of 5\/2*r**2 - 1 + l*r. Let y(v) = -v**2. Calculate y(j(d)).\nAnswer: -25*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/5 (b) -1512 (c) 23990\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**2 - 5*k + 3. Let w(t) be the second derivative of t**4\/2 - t**3 + 2*t**2 + t. Let n = -90 - -92. Let q be (-1)\/1*(2 + n). Give q*w(c) + 5*p(c).\nAnswer: c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3054, -3055, -3056, -3057?\nAnswer: -3058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2090, 8466, 19086, 33956, 53082, 76470, 104126, 136056?\n\"Answer: m**3 + 2116*m**2 + 21*m - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 2. Let b = -6 + d. Let t = b + 5. Sort t, -0.2, 0.3.\nAnswer: -0.2, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**5 + u**2 - 2. Let o(h) = -7*h**2 - 3 + 8 + 15*h**5 + 12. Let q(m) = -6*o(m) - 51*r(m). Find the third derivative of q(j) wrt j.\nAnswer: 720*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03337337 rounded to 5 decimal places?\nAnswer: -0.03337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1107 and 44526.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 57 + -29 + -3 - 63.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*n - 2 = 0, -28 = 3*v - 0*v + 5*n. Let u(l) = -l + 2 - 3*l - 11*l + 5*l - 6. Let b(z) = -9*z - 3. Determine v*b(o) + 5*u(o).\nAnswer: 4*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 5:46 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 6*l**3 - 4*l**2 - 7*l - 7. Let k(n) = -5*n**3 + 4*n**2 + 6*n + 7. Let g(u) = 4*i(u) + 5*k(u). Calculate g(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1321589?\nAnswer: 1321589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -5*y - 19, 4*g - y + 445 = 492 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1998058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k + 5. Let j(b) = 15*b - 6*b - 6*b + 4. Give -4*j(c) + 3*z(c).\nAnswer: -6*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -782, -635, -396, -71, 334, 813?\nAnswer: 1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 48. Let n(k) = -16*k + 251. Determine -4*b(p) + n(p).\nAnswer: -16*p + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3551027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - v - 1. Let k(o) = 10*o**2 + 3*o + 7. Let b(l) = -k(l) - 6*r(l). Let w be b(1). Let h = w + 26. What is the remainder when 21 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-18)*(28\/12)\/(49\/126).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 58149 = -g + 58140, 0 = 3*g + 9 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 17. Solve 5*v = -i*y - 22, 3*y - v + 20 = -5*v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149399 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - 119*u = 221*u - 19*u - 6200 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 + 2*d + 2. Let b(m) = -6*m**2 + 7*m + 7. Let r(k) = -4*b(k) + 14*o(k). Let w(l) = -2*l**2. What is r(w(g))?\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/140*-4 + 1.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5516 in 0.04, 2, 0, 3\/2, -0.3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 p when three letters picked without replacement from ppbpbbppbpppbppp.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*-1*-4)\/((sqrt(6) - sqrt(42)\/(sqrt(21)\/sqrt(3))) + sqrt(6)))\/(((sqrt(275) - 2*-1*sqrt(275)) + sqrt(275))*-1) + -2.\nAnswer: -2 - sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 6*v**5\/11 - 242*v**4 + 366006*v**3\/11 - 15988338*v**2\/11 - 5370212*v\/11 = 0?\nAnswer: -1\/3, 0, 109, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1305 divided by 435.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 7*v**2 + 3. Let y be c(7). Suppose -2*z = -4*k + y*z + 60, 2*z = 2*k - 28. Does 11 divide (52\/k)\/((-1)\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -7\/68, 173, -17, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 3 + 4 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2433000 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 116582989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 133 + 31 = 0. Let u = m - 23. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -903349936616 and -0.02?\nAnswer: 903349936615.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 105*a + 3096.\nAnswer: -(a - 129)*(a + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s - 4. Let w be p(3). Let r = 4 - w. Let f be (r\/(-2))\/(5\/(-4)). Solve n = -f*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 1, -2*k = 4*d - 35 - 89. Solve -4 = k*y - 63*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 = 0, -4*a + a - 2*j = -46. Let s = -129 + 137. Calculate the smallest common multiple of s and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, w: 2, h: 5, c: 4}. Give prob of picking 1 c, 1 h, and 1 r.\nAnswer: 35\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 8 + (7 - 6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -240941 - -41442255\/172. Let y = 4\/43 - s. Which is the nearest to -1\/3? (a) 1\/7 (b) y (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 231 + -217?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73913481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g - 3*g + 9 - 5*g + 0 as d*g + k and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 + 42 = 9*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/3, 1\/20, -3 in descending order.\nAnswer: 2\/3, 1\/20, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 2. Let s(v) = v. Let b(q) = -q + 8. Let r(l) = 3*l - 25. Let n(y) = 17*b(y) + 6*r(y). Let w be n(12). Give w*s(i) - j(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 5*s - 39, 5*n - 72 = 4*s + 6. Calculate the remainder when (21 - -49) + 1 + -2 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*u - 5*j + 6, -3*u - 3*j = -18. Suppose -f + u*f - 30 = 0. Solve 0 = -3*w + 4*v - 7, -f = -2*w + 5*v - 6*v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2287*s - 2294*s + 2 = b - 5, 0 = -3*b - b - 112 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -3*y - 4\/35*y**5 + 2\/21*y**3 + 1\/42*y**4 + 0*y**2 + 1\/21*y**6 + 5. Let p(v) be the first derivative of r(v). Factor p(a).\nAnswer: 2*a*(a - 1)**2*(5*a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*z = -1897318 - 1695722. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2430, -2615, -3114, -4083, -5678, -8055, -11370?\nAnswer: -15779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 6*i**2 + 3*i + 2. Give t(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3205258104399 + 196.\nAnswer: 3205258104595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (293*a**2 + 811*a**2 - 120*a**2 + 251*a**2)*(0 + 3 - 7) to the form t + h*a**2 + p*a and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 7 + 7 - 15 + 3 + 5*g**3 - 5*g**2. Give m(2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -t - 2*p - 9, 3*t + 1 = -2*p. Suppose 0*v = m + 5*v - 7, -t*m + 2*v + 55 = 0. Calculate the lowest common multiple of 10 and m.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1549 (base 16) to base 5.\nAnswer: -133244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -140417860*y. Let u(o) = -2*o**2. Calculate w(u(g)).\nAnswer: 280835720*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a hour in seconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-788)\/1773)\/((-2)\/(-63)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/8)\/(1 - (-22)\/(-24)). Let v be (-36)\/1*f\/(-48)*-8. Let t = 67 + v. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 163, 320, 495, 694, 923, 1188, 1495?\n\"Answer: g**3 + 3*g**2 + 141*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -177\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -5 (c) 2 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -69142.64 to the nearest one hundred.\nAnswer: -69100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t + 2. Let b be h(-2). What is the lowest common multiple of (-2)\/b*(-7 - -1) and (-8)\/6*15\/(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*j + 0*j - 2*j)*(2*j**2 + j - j).\nAnswer: -22*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 232120 * -34.\nAnswer: -7892080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 51. Let g be (-224)\/10 - t\/(-30). Let z = g + 18. Which is the closest to 1\/5? (a) z (b) -2 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 8*s + 1. Let q(i) = -14*i - 36. Let d be q(-4). Suppose -d*h = -25*h + 10. What is z(h)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -940, -8, -35, 3, 2, -4, -6 in descending order.\nAnswer: 3, 2, -4, -6, -8, -35, -940","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 3*a - 2 + (2*a + 0*a + 0*a)*(-2 - 4 + 4) - 14 + 14 + 8*a + (2*a - a + 2*a)*(0 + 1 - 4).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1392 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i + 6*i + 43 + i + i. What is the tens digit of g(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/20*-4*17\/306)\/(1100\/132).\nAnswer: 1\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 - 9*n - 14. Let r be -23 + (0 - 1) + -32 + 35. Let i = -29 - r. List the prime factors of q(i).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.511236l in millilitres?\nAnswer: 2511.236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*y = 2*y - 24, -34 = -n + 3*y. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36321 (base 9) in base 6?\nAnswer: -304331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 9*l - 14. Let j be x(-6). Suppose 4*v + j*h + 0*h - 40 = 0, 0 = 2*v + 3*h - 20. What is the remainder when 19 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15469 = -205*h + 220*h + 1414. Calculate the remainder when h is divided by 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k - 3. Let c be 90\/60*(-8)\/(-6). Suppose -2*d + q + 8 = 0, 7*d - c*d - 2*q = 21. Determine f(d).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12934828 and 316.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q = -17*q - 11665. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*n + 2272 = 32*n. Calculate the remainder when 93 is divided by n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, v: 3, y: 3, u: 3, a: 7, o: 2}. What is prob of picking 1 u and 2 o?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*i - 22 = -6*f, 24 = 3*f + 3*i. Let u be (-32)\/(-3)*5*(-9)\/(-30). Suppose 3*r = -u + 7. Sort f, 9, r.\nAnswer: r, f, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 2:31 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 87\/53, 3, 305?\nAnswer: 87\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126ac (base 13) to base 16.\nAnswer: 853f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000299032 rounded to 6 dps?\nAnswer: -0.000299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.01 or 2.191?\nAnswer: 2.191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of u**7\/210 + u**6\/45 + u**5\/30 + 8*u**3\/3 - 2. Let d(l) be the third derivative of b(l). Find z such that d(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9493003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 498060 to the power of 1\/2, to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 20*o + 72 = 0. Calculate the highest common factor of o and 369.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14304 - 14304. Let j = 0.3 - 0.8. Suppose 3*a + 2*q + 8 = 0, -2*a + 2*q + 3*q - 18 = 0. What is the fourth biggest value in 1, j, y, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 12*w**2 - 11*w - 2. Let v be s(11). Let f(m) = -m**3 + m**2 + 2*m + 4. Let o be f(v). Solve 4*a = -0 - o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*t + 866, -3*t + t + 4*r = -344. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 0) + (5 - 0 - (-11 + -5)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 30*h - 50. Calculate the least common multiple of y(28) and 298.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3779*q**3 + 4*q + 3801*q**3 - 4*q - 7556*q**3.\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*a**3 - 71*a - 20*a**2 - 13*a**3 + 72*a)*(-4*a + 4*a - a)*(0*a - a + 2*a).\nAnswer: 2*a**5 + 20*a**4 - a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1660254\/523 > -3174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.64 + 14.64. Let v = -0.27 - 0.03. What is the closest to 2\/5 in q, v, -1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/25 in 0.1, 1\/40, 113, 2\/15?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/(-24) - (-30)\/8. Suppose 0*d + o*d = 33. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 8*v - 2*v - 7*v + 9*v + 9*v in the form u + k*v and give k.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 723?\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113978, -911658, -3076774, -7293044, -14244186?\nAnswer: -24613918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**2. Let a(p) be the third derivative of 0*p**3 + 0 + 3*p**2 + 0*p - 1\/24*p**4. Determine l(a(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l - 3*l + 6*l)*(-5 - 10 - 50) to the form j + m*l and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*l = 5. Suppose -l*g = -3*t + t - 102, -1 = t. Let y = 5 + 35. Calculate the greatest common factor of g and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1347)\/9 + 1*4\/(-12). Let q = -140 - u. What is the remainder when 34 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 17*v**5\/60 + v**4\/3 + 61*v**3 + v**2 - 75*v. Differentiate n(p) wrt p.\nAnswer: 34*p + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u - 10. Let x be v(-9). Let r(m) be the second derivative of 0 - 3\/4*m**3 - 3\/2*m**2 - x*m - 1\/8*m**4. Factor r(h).\nAnswer: -3*(h + 1)*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 1 - 2923*x**2 - x**4 + 2*x**3 + 2924*x**2 + 0*x**3 to the form n*x**3 + o*x**2 + m*x**4 + g*x + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*n - 10. Let t be n\/(-3) - 29\/12. Let y = t + -11\/8. Find the common denominator of y and -81\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 587174877 - -81.3.\nAnswer: 587174958.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -133.0851 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/1640 and -103\/328614?\nAnswer: 269463480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(17) + 6*(sqrt(17) + sqrt(17)*3)) - (sqrt(68)\/sqrt(4) + 5 - sqrt(17) - ((-1 + sqrt(17) - sqrt(17)) + sqrt(17))*-1))**2.\nAnswer: -1192*sqrt(17) + 377433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -257.89 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011010101110100 - -11?\nAnswer: 1011010101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-10)*(-624)\/2808*8.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2677, -5353, -8029?\nAnswer: -10705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {c: 3, l: 4, u: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = -982 + 5285. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 5\/3 (b) 4 (c) 1.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 4*b**3\/3 + 60*b**2 + 900*b - 45. Find l, given that t(l) = 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 357.135 - 357. Round p to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-12)*0\/((-49)\/(-7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-1 + (-5)\/(-6). Let t be 3 - (-104)\/(-18) - -3. Which is the closest to -0.2? (a) t (b) -3\/2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1068000 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 4 = 10 - 19. Which is the fifth biggest value? (a) 2\/197 (b) g (c) -2\/3 (d) -2 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihsdsshxs. Give prob of picking 1 s and 1 x.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1*(3\/(-4) + (-15)\/(-20))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 8*m = 0, 5*p - m = -25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 93240 and 28?\nAnswer: 93240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-2)*12\/8. Suppose 80 = 245*x - 240*x, -5*b + 2*x = 27. Let d(w) = w**2 - 6*w + 6. Let m(a) = -a + 1. Calculate b*d(r) + c*m(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(7) - sqrt(7))**2*2 - (sqrt(84) + sqrt(84)*-2 + sqrt(84) + sqrt(84) - sqrt(84))\/sqrt(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + ((-15)\/(-1))\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -93.\nAnswer: 8\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 58*i**2 - 605*i + 2. Give y(14).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(((-280)\/(-120))\/((-35)\/90)))\/((-334)\/4).\nAnswer: -1\/167","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5074 is divided by 299.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**3 - 2*s**3 + 2*s**4 - s**2 + s**2 + s**4 + (6*s - 2*s - 3*s)*(2 + 2*s**3 - 2) + s**4 - s**4 - s**4 + 0*s**4 + 19*s**4 - 10*s**4.\nAnswer: 13*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -455336564 divided by 43444\nAnswer: -10481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 208 - 203. Find l such that t + 163*l**2 + 298*l**2 + 259*l**2 - 120*l = 0.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + a - 1. Let i(u) = -24*u**3 - 2*u**2 - 3*u + 3. What is -i(n) - 3*y(n)?\nAnswer: 27*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -23458965 divided by 5\nAnswer: -4691793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 170*u - 387*u - 47*u + 1 - 3 - 373*u to b*u + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/15*s - 14\/15*s**2 + 2\/3*s**3 + 0.\nAnswer: 2*s*(s - 1)*(5*s - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -288 divided by 24\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.79 + -0.29. Put -1.1, 0, b in descending order.\nAnswer: b, 0, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 19.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -8*(-9)\/(-90) - 3234\/(-5)?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 88192 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-9)*9\/2. Suppose -5*h + 2*v + 271 + 62 = 0, -j*h + 175 = 5*v. What are the prime factors of h?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 1512 = 332. Suppose 0 = -3*v - 5*s + w, 4*v = -0*s + 4*s + 368. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-111)\/185 - (-5)\/(-75). Let v = -26 + 31. What is the closest to g in -2, -3, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) -2\/17 (c) 3 (d) 4 (e) 1781\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1966 is divided by 650?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 divided by 22?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 3*s - s)*(7*s - s**2 - 7*s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 0.06 (c) -0.9498\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 290 - 231. Find the third derivative of -7*p + 78*p**6 - o*p**2 + 9*p**6 + 9*p wrt p.\nAnswer: 10440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -4970\nAnswer: 1\/994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w**2 - 9*w + 84. Let m(z) = -7*z**2 + 10*z - 83. Let h(t) = -2*m(t) - 3*x(t). Find the first derivative of h(s) wrt s.\nAnswer: -2*s + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -117 - -121. Solve 0 = 5*r - 2*a + 35, r + 2*a - t = 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 723*q - 5686. Determine g(8).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 359466 and 659021.\nAnswer: 3954126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01 - -0.1. Let x = t + 0.19. Let j be 18\/(-5) - 2\/5. Which is the closest to x? (a) 0.1 (b) -2\/9 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -312222221 (base 5) to base 15\nAnswer: -1a6e26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 96*c**2 - 6*c - 112. Let b(d) = -18*d**2 + d. Determine 5*b(q) + f(q).\nAnswer: 6*q**2 - q - 112","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 9*k**2 - k - 5. Let f be w(9). Let i = 10 - f. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 72*g - 12. Let s(m) = -4 - 4*m + 22*m + 1. Let f(u) = 21*s(u) - 5*w(u). Is f(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(70) + -3*(sqrt(70) + sqrt(70)*1 - sqrt(70)) + sqrt(70))\/(3*sqrt(490)*1)*-2.\nAnswer: -2*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -34*a - 9. Let w be d(-5). Suppose -3*f + 5*x - w = 0, 3*x = -4*f + 2*f - 101. Let i = f + 87. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, l: 5, t: 3}. What is prob of picking 2 l and 2 t?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 10*c**2 + 78*c - 9. Let h be v(15). Let z be (h + 2)*(-2 - -1). Suppose -4*t + 7 = -4*p - 145, -106 = 3*p + 5*t. Is p greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 0*t + 3. Which is the third biggest value? (a) -0.2 (b) 0.3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 + 12*k - 6. Let n(q) = q**2 - q - 1. Let p(s) = 2*n(s) + u(s). Let l be p(9). Let j = l - 6\/5. What is the closest to j in 5, 2\/11, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -13254*g - 26504. Give r(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -2)\/((-16)\/(-64)). Let k be (s - (-6)\/2)*(-7 - -2). Solve 4*p + p = -k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2 (b) -0.02 (c) 2\/11 (d) 8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00052257 rounded to 5 decimal places?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - 0. Let n = 169 - 195. Let r = x - n. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -481 (base 15) to base 2\nAnswer: -1111111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1013736 (base 8) to base 4.\nAnswer: -1001133132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 98 and -793.963.\nAnswer: -77808.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 429, 646, 451, -360, -1991, -4646, -8529?\n\"Answer: -34*h**3 - 2*h**2 + 461*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 80. Let k be 6\/(-33) - 399\/d. Sort 0, -1, k in ascending order.\nAnswer: -1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v + 35. Let h(o) = 7*o - 34. Let p(g) = 3*h(g) + 2*z(g). Calculate the least common multiple of p(8) and 15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90019 is divided by 277.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1109*y**3 - 1093*y**3 + 2198*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6*c + 2 - 5*c + 2 - 6. What is the remainder when 14 is divided by b(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2247, 3260, 4273?\nAnswer: 5286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -503736 + 251865 + 91*m**3 + 251871.\nAnswer: 91*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 4\/10 + 4\/(-10). Suppose t + 0*j + 4*j = -6, t + j - 3 = f. Suppose 4*b - t = 10. Solve 5*w + 25 = -5*z, 0 = 5*z - b*w - 6 - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35978878?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 3*s = 7, 11*i - 10*i + 3*s + 23 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - n = 354. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 0*c**2 + 3*c**2)*(5 - 4 - 3)*(-4*c + 1 - 5 + 2)*(2*c + 0*c - 5*c)*(-37*c - 6*c + 70*c).\nAnswer: -648*c**5 - 324*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183019.\nAnswer: 29, 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18750 = 11*p - 175378. Suppose -5*x - 3*d = d - 22061, p = 4*x + 4*d. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -567198 times -180\nAnswer: 102095640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.778618 decades in months?\nAnswer: 693.43416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 3:08 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243771 is divided by 4353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 16 = -8 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 118289\/24735 + -989\/194. What is the common denominator of m and -131\/204?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -86a4 (base 12) to base 15.\nAnswer: -45c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 203*n - 35. Let h = -626 - -591. Let f(p) = -12*p + 2. Determine h*f(x) - 2*g(x).\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4230 - 2561610?\nAnswer: -2554350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*g**3 + 69*g**3 + 119*g**3 - 316*g**3 + 64*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -23. Suppose 0 = -3*x - d*w + 17, 2*x + 0*w - 2*w = 6. What are the prime factors of (5 - 4 - -55) + x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1055 (base 6) to base 4.\nAnswer: 3323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q + 2. Let r be y(3). Let j(n) = -29*n + 47*n - 29*n + 4. Does 16 divide j(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7641\/2 + 3537. Do -284 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (32\/(-8))\/(-4)*(-4 - 3). Which is the biggest value? (a) 1 (b) y (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 4*w - 14, 0 = -3122*t + 3121*t - 4*w + 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/7, 0.3, 2040, -0.063, 2\/3, 5?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 5*n**2 - 4*n - 7. Let z be 1\/3 - 17\/(-3). Let q be w(z). Suppose 19 = 5*i + 4*j, -i - 3*j = -11 + q. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(26\/9)*w)\/((w\/(w*((w\/(w*w\/w**31))\/w)\/w))\/w) assuming w is positive.\nAnswer: w**(262\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19163145?\nAnswer: 3, 5, 1277543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gi when two letters picked without replacement from {i: 11, g: 5}?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - v + 1, 10*a - 26 = -0*a + 2*v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 21, -3*d - 1925*q + 1920*q + 883 = 0. Solve 0 = -310*j + d*j - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 91*d**3 - 96*d**3 + 7.\nAnswer: -187*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1636\/5 + 37658\/115. Let l = 4\/161 + r. Let a = -67\/21 + 20\/7. What is the nearest to a in 4\/7, l, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.658 rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/15*((-81)\/12)\/((-12)\/8). Solve 8\/3*l + 8\/15 + m*l**2 = 0.\nAnswer: -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 88.05 - 88. Let n = -0.15 - w. Let z = -6 - -10. Which is the closest to -1? (a) -0.4 (b) n (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*a + 10, 0 = a - 5*v - 3 + 1. Suppose -4*d - 5*s - 19 = 0, 5*d + a*s + 32 = 4*s. Let g = -3 - d. Solve 2 - 5 = -3*q + g*k, 3*k = -q - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4263 and 1136800.\nAnswer: 1421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14716194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/55256667 and -17\/7137?\nAnswer: 2155010013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -193.3 and -5385149?\nAnswer: 5384955.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/9 or -89650\/567?\nAnswer: -89650\/567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 50348617?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 216941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 114326220943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(312)\/sqrt(432))\/(1*sqrt(2)*1).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = z + 3*z. Suppose 0 = -z*q + 24 + 21. Solve 5*g + 6 = -q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11676.004242 to the nearest 10.\nAnswer: -11680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -276 + 23. Let d = l - -252.7. Let f = 1 - 0.8. Which is the nearest to f? (a) d (b) -7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 20*r. Let l(x) = 2*x + 782. Give l(i(a)).\nAnswer: 40*a + 782","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 12809*y**2\/3 + 1055*y\/3 = 0.\nAnswer: -1055\/12809, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8459656 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 4*p**2 - 5*p - 4. What is i(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*b - 2*b**2 + 5*b**2 - 4*b**2)*(-22 - 69 + 46)*(-6 + 6 - 2*b**2) as g*b + q*b**3 + r + m*b**2 + d*b**4 and give d.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 201812106 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 12*v - 6*v + v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**4 + 26*f**3 + 144*f**2 - 824*f + 896 = 0. What is f?\nAnswer: -7, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 649 - 2*b + 2*b - 4191 + 8366.\nAnswer: -b**2 + 3526","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -14 - (14 - ((-17 - -15) + 13))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4581 + 4581 - c**2. Let s(f) = 7*f**2 - 2*f. Let w(h) = 55*h**2 - 17*h. Let g(u) = 51*s(u) - 6*w(u). What is o(g(x))?\nAnswer: -729*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1435 + 1435.3. What is the nearest to j in 1, 0.1, -2\/3, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -4\/9*a**3 + 0*a**2 - 31\/10*a**5 + 35\/18*a**6 + 17\/9*a**4 - 7\/18*a**7 - 2*a + 0. Find v, given that h(v) = 0.\nAnswer: 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(5\/(-14)*-7).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 9 + 6)*(-1 + 2 + 1)*(-2*n - n + 5*n).\nAnswer: -28*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(0 - 0\/(-2)). Let d(r) = 19 + 58 - 2*r - 9. What is the tens digit of d(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171995.2 litres in millilitres?\nAnswer: 171995200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.33 + 0.13. Let g = z + 1. Let y = -0.377 + 0.377. What is the closest to y in -2\/17, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001037683128 rounded to six dps?\nAnswer: -0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -609? (a) -1\/3 (b) -4 (c) 2 (d) -5\/6 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-66)\/(-22))\/(4\/((-5704)\/(-6)))?\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82599.52 meters in centimeters?\nAnswer: 8259952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23726 + 474327\/20. Let g = -37\/4 - b. Suppose -2\/5*k**5 + g*k + 4\/5*k**2 - 4\/5*k**4 + 0*k**3 + 0 = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -2, 5, -0.4.\nAnswer: -3, -2, -0.4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/25*(-1)\/38*5.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 3*q - 39, 2*q - 2*s = 207 - 189 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/137977 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.01 and -676074704.\nAnswer: -676074703.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - x**2 - 1. Let w = -19 + 16. Let v(s) = -s**3 + 3. Give w*t(c) - v(c).\nAnswer: -2*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.5 (b) -3\/7 (c) -6 (d) 130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (0 - -1) - 1106. Let k = y - -2409. Round k to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 10*c**3 - 498*c**2 - 91*c + 573. Calculate v(50).\nAnswer: 1023","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 131187?\nAnswer: 1311870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 480 (base 14) to base 7\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5991 (b) 100 (c) 3 (d) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101405682.\nAnswer: 2, 3, 7, 223, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542822 is divided by 647?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5)*j**(8\/9)*j)\/(j\/(j\/j**19)*j**(3\/2)) assuming j is positive.\nAnswer: j**(-425\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 2\/7, -0.4, -20, 35, -337?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 5*o**2 - o - 1. Let x be i(-5). Suppose h + 15 = x*h. Find the second derivative of -h*l - 2*l + l**3 + 3*l**3 wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**3 + 1075*r**2 - 5304.\nAnswer: -3*r**2 + 2150*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p - 5. Let m be f(-8). Suppose -4*c + 3*b + m = -2*c, c = 3*b + 15. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/12 + ((-85)\/30)\/(-1). Let i = -177 + 321. Suppose -u*w - w = -i. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 98*k**2 + 10*k - 5. Is o(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 908893427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 2*t - 2*t)*(-5 + 5 - 2) + (0*t**2 + t**2 - 2*t**2)*(0 - 10 + 0).\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5552000 rounded to the nearest one hundred thousand?\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/21)\/(18\/42)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-4) - 24\/32. Let o be (-16)\/12*z + 6. What is the third derivative of -2*f**3 - 6*f**2 + f**5 + o*f**3 wrt f?\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300931092 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -12. Suppose u*v + 3*p - 63 = v, -5*v + 83 = -2*p. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/27*((-48)\/68)\/2\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 10 (c) -641\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1313 + -7993. Round v to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1183146, 1183147, 1183148, 1183149, 1183150, 1183151?\n\"Answer: i + 1183145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 131 - 135. Suppose -2*n + c = -90, -4*n + 112 = -5*c - 74. Calculate the remainder when n is divided by (-24 - -18)*2\/g*5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 9:27 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 716 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - k - 1. Let m(t) = 132*t**2 - 3*t - 5. Give m(q) - 3*v(q).\nAnswer: 129*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.28 + 0.02. Let s = -0.2 + d. Let t = 20 + -21. Which is the closest to 1\/2? (a) 0.2 (b) s (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1126691956 and -16.54.\nAnswer: 1126691939.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b*l*v**3 + 14*b*l*v**2 - 3*b*l + b*v**3 + 569*l*v**3 + 45*l*v wrt v.\nAnswer: -12*b*l + 6*b + 3414*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**14*z)\/(z*z**14\/z))**15*(z\/(z\/(z\/(z\/(z*z\/(z\/(z\/((z*z\/(z\/z**(-2))*z*z)\/z*z))))*z))))**(4\/15)*(((z**(2\/7)\/z)\/z)\/z)**(-2\/65) assuming z is positive.\nAnswer: z**(13688\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2814)\/1876*(-10)\/(-6)*12\/75\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 304 = 3*a, -1448 = 45*l - 50*l + 3*a. What is the least common multiple of 20 and l?\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11213113 + 20?\nAnswer: -11213033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -353987.4 and -6.\nAnswer: -353993.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**5\/60 + 31*l**2 - 21*l. Let q(j) be the first derivative of u(j). Let g(o) = -19*o + 2. What is q(g(m))?\nAnswer: 361*m**2 - 76*m + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -38853147?\nAnswer: 38853148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 175.48 - 198.480064. Let b = -0.0166 - 22.9834. Let h = p - b. What is h rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 34*v + 152. Let w be b(38). Suppose -c - 3*g + 28 = w, -c - g - 4 = -6*g. Calculate the lowest common multiple of c and 9.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + h**4 - 1 + (2*h + h - h)*(-h**3 - h**3 + 3*h**3) - h**4 + 2*h**4 + h**4 + (-11 - 12 + 25)*(-5*h**3 - h**3 - h**3)*(-2*h + h + 3*h).\nAnswer: -23*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3900004, 7800006, 11700004, 15599998?\nAnswer: 19499988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**7*j**(-5))\/(((j**(4\/9)\/j*j)\/j)\/j**(5\/4)))\/((j**5\/j)\/((j**(-2\/17)*j)\/j))**(29\/3) assuming j is positive.\nAnswer: j**(-29987\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3619, -4901, -6183, -7465, -8747, -10029?\n\"Answer: -1282*z - 2337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 12*j**2 + 10*j - 9. Let t be p(-11). Solve -5 = -4*s + 5*c - 1, -3*c = 2*s - t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 9*s - 10. Let c be v(-7). Suppose x - 3*p + 14 = -6*p, x + 10 = -c*p. Round x to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/9))**(-1\/7)*(z*z\/(z**0\/z))\/z*z**17 assuming z is positive.\nAnswer: z**(1195\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.06 (b) -0.4 (c) 0.0103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-six fifths of a century?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1589 + 2312. Let i = r + -35429\/49. Is 1 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 360 - 361. Let u be w\/(22 - 16 - 5\/1). Put 36, u, 5 in decreasing order.\nAnswer: 36, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.03 + 1.03. Suppose 3*f = -4*k - 0*k - 18, 4*f = 5*k + 7. Which is the third smallest value? (a) 1\/11 (b) z (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 366 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0219 - 3.0219. Let x = 165 + -175. Sort a, -1\/4, x, -5 in decreasing order.\nAnswer: -1\/4, a, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030 (base 4) in base 8?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35910 + -18854. Is 35 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.14, -0.4, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {p: 1, a: 3, u: 3, o: 6, r: 5}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 93689, 93796, 93949, 94172, 94489?\n\"Answer: 4*k**3 - k**2 + 82*k + 93604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g - 3. Let v be t(3). Suppose v = 5*j - 367 - 88. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 2*o. Let t = -5.08 + 0.08. Let i = 5 + t. Which is the nearest to o? (a) -4 (b) -4\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5675 - 5700. Which is the nearest to -0.2? (a) -0.9 (b) 7\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -0.4, 1, -1, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, -11, 4, -0.719 in descending order.\nAnswer: 4, 0.9, -0.719, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) -2\/3 (c) 1\/9 (d) 0.3 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 20, 2*j - 7 = 4*g + 3*j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74481, -74484, -74489, -74496?\nAnswer: -74505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.2775 plus -0.11?\nAnswer: 27.1675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23673416 and 312?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + 3*(sqrt(121) - (sqrt(121) - (sqrt(121) + (sqrt(121) - 2*sqrt(121) - sqrt(121)) + sqrt(121)))))\/(sqrt(11)*1*1).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 76169*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2050314.\nAnswer: 2, 3, 7, 48817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -226, 138, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/24 + (-87153)\/12. Let s = -7275 - t. Calculate the common denominator of 19\/22 and s.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -4*d + 28, 3*d = -5*l - d + 32. Suppose 5*r + l*g - 22 = 0, -3*r - g = 2*r - 13. Is r at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 585 - 153. Let r = 280 - n. Suppose 0 = 2*l + 4*o - r, 0 = 5*l + 2*o - 0*o - 380. Is l a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, y: 5, n: 3, j: 1}. Give prob of picking 2 n and 1 v.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/3*(76\/8 - 8). Let c = -3 + 5. List the prime factors of 8\/t + 64 + c.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123182 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 5, -11, -2.\nAnswer: -11, -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77 - 69. Suppose -3616 = -a*d + 7272. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 - -1201567814849.15\nAnswer: 1201567814849.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d. Let h(q) be the first derivative of -3\/2*q**2 + 0*q + 29. What is h(o(a))?\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -109 and 0.225?\nAnswer: -24.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -178 (base 9) in base 7?\nAnswer: -305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 146290 and -1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-52)\/(-10))\/(1\/5).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 61\/20838 or -1?\nAnswer: 61\/20838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6*l**2 + l + 1. Let q be g(-1). Let u(k) = -7*k**2 - k. Let p be u(1). Let s = q - p. Solve s + 1 = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12532340 (base 6) to base 9.\nAnswer: -704386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**3 + 12*y**2 - 21*y + 2. Let p(s) = 12*s**3 + 38*s**2 - 68*s + 7. What is -7*k(c) + 2*p(c)?\nAnswer: -4*c**3 - 8*c**2 + 11*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71483 is divided by 395?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 806669 is divided by 161053?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 10*s - 9. Let j be a(-9). Let k = 593\/21 - 207\/7. Put -0.4, j, -0.5, k in decreasing order.\nAnswer: j, -0.4, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 7.82054 and -32432990.\nAnswer: -32432982.17946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - 869\/(-182)) + 8 + (-102)\/13 and 153\/606*20\/12.\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3633\/956752 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1488 and 1488.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4 - 3*o**2 - 4. Let g(s) be the second derivative of 0*s**3 - 2*s + 0*s**2 + 0 + 1\/12*s**4. Calculate d(g(n)).\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**5\/5 + 2504*f**4\/5 - 403776*f**3\/5 + 2720344*f**2\/5 - 532916*f - 1158240 = 0 for f.\nAnswer: -760, -1, 3, 5, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5856 rounded to 2 decimal places?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-87017)\/(-49) - (-3 + (-120)\/(-42))?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*p**2\/4 + 1094*p + 8385.\nAnswer: (p + 390)*(11*p + 86)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -6) + (4 - 2) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 2*w - 7. Let x(t) = -3*t**2 - 6*t - 21. What is -6*x(l) + 17*z(l)?\nAnswer: l**2 + 2*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t + 3 - 13 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -1\/72*k**4 - 1\/180*k**5 + 0 + 0*k**3 - k**2 + 0*k. Factor l(a).\nAnswer: -a*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1344 and 496?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 23*z. Let h(d) = 45*d. Let b = -3365 - -3352. Determine b*m(n) + 6*h(n).\nAnswer: -29*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 9:00 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60010 - -36609. Let o = d - -23408.9804. Let y = o + -8. What is y rounded to three dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -306\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10144 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-26 + 4)\/(-3 + 1). Let g = q - 10. What is the least common multiple of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -33*z - 40 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3413*x**3 + 1131*x**3 + 1559*x**3.\nAnswer: -723*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**4\/11 - 34*t**3\/11 - 18*t**2\/11 + 306*t\/11 = 0.\nAnswer: -3, 0, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 1\/1 - ((-9)\/21 + 6325736\/(-644))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2746 - -0.0254. Put 2, -1, b, 0.1 in increasing order.\nAnswer: -1, 0.1, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 917443991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from {d: 1, r: 4, e: 1, v: 1, y: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*x**3 - 70*x**3 + 109 - 109.\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37538, -37547, -37604, -37733, -37958, -38303, -38792?\nAnswer: -39449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**4\/6 + x. Let b(j) = -42*j. Give b(h(d)).\nAnswer: -84*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 163*t - 6029. Let f be w(37). Sort f, 29, 0, 0.5.\nAnswer: 0, 0.5, f, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288284171 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -110148 divided by 804?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/71279214 and -46\/27?\nAnswer: 641512926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 18, x: 2}. Give prob of sequence ii.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -14. Suppose -3*o - 3*y + 12 = 0, 2*o - 2*y - x = -5*y. Let w be o\/(-10)*(-5 - 1). Solve 2*g = w*g + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + 240\/(-84))*28. Let y = -1459\/7 - -211. Which is smaller: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 7 - (1 - -2)) + -2 + 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81030 and 14289585.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017673672 to 4 dps.\nAnswer: -0.0177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - (-4 + 7))\/2. Suppose l = f - 14 - 6. Solve 3*w + 0 = 4*g - 19, -5*g - f = 5*w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h. Let r(y) = 931*y**2. Calculate r(w(i)).\nAnswer: 14896*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113278?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 7:14 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108265693?\nAnswer: 181, 587, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 13. Suppose i = -5*u + 24 + 1. Calculate the lowest common multiple of 11 and u.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240227 = -415*q + 109618. What is the remainder when q is divided by 282?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 - 2*p + 4. Let w = 9 + -3. What is the remainder when r(3) is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 - 2)\/(1 + 1). Factor -4*g - 5*g**3 - 2*g**3 - g**3 - k + 10*g.\nAnswer: -2*(g + 1)*(2*g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 6 = -5*a. Suppose -o + 3 = a*o. Solve -3 = -2*v + o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8\/t*t*t\/t**(-1\/2)*t)**39 assuming t is positive.\nAnswer: t**(819\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -513\/4, 2, 0 in decreasing order.\nAnswer: 2, 0, -513\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*h - 23*h + i + 8 = 28*h, 2*i = h - 37 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (693\/8547)\/(2\/74).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 557415.3um?\nAnswer: 557415300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 28 = 2*m, -302 = 3*b + 15*m - 92 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 20, -3*y - 123 + 483 = 4*j. Calculate the remainder when 1126 is divided by j.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416*l - 6235 - 96 = 4069 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4514 and 1998.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2555 + -2557. Which is smaller: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*q + 2723, -m + 7*q - 424 = -1111. Calculate the greatest common divisor of m and 440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156967017.\nAnswer: 3, 52322339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 292 and 574948.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**5 + s**4 - 2*s**2 - s - 1. Let z(g) = 108*g**5 - 6*g**4 + 10*g**2 + 6*g - 3. Let h(d) = -6*p(d) - z(d). Find the third derivative of h(n) wrt n.\nAnswer: -6840*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 45*z**3 - 2*z**2 - 2*z - 2. Let y be 370\/(-555)*(-4)\/(4\/(-3)). Let c(w) = -46*w**3 + 3*w**2 + 3*w + 3. Determine y*c(d) - 3*q(d).\nAnswer: -43*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55845*l**2 + 18599*l**2 + 18620*l**2 + 18628*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1743 divided by 1768.\nAnswer: -1743\/1768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -6 + 7 + 2 - (-81 + 1 + -1)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 9. Let q be 3\/(-1) - 5761\/(-1827). Let f = q + 2\/29. Which is the smallest value? (a) f (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3206.594t to nanograms.\nAnswer: 3206594000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3484.2 - -3486.1. Sort -0.31, 5, -5, 3, m in increasing order.\nAnswer: -5, -0.31, m, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -173493686 at least as big as -173493689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6048 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*u - 7*u - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3) + (52\/12 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.516 + -1.5. Let n = 4.2 - 5.216. Let f = m + n. What is the second smallest value in -5, f, 2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + 2*c + 2*c**3)*(5*c + 0*c - 2*c) - 201 - 4*c**4 + 19*c**4 + 201 to the form q*c + j*c**3 + w*c**4 + g*c**2 + x and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1102*x**2 - 234*x**2 - 647*x**2 - 218*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 7. Suppose -b*g = -3*g + 2. Find the second derivative of 5*x - 5*x - 3*x**g - 2*x wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 152 divided by 6\nAnswer: 76\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 962388 divided by -68.\nAnswer: -240597\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 5:32 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 26500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.045233 to three decimal places.\nAnswer: -2.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6*c - 3. Let u(b) = 3*b + 210 - 210. Calculate r(u(y)).\nAnswer: 18*y - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 3) + 2\/4. Let j = 1623\/5 - 325. Which is the nearest to j? (a) q (b) 5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(2 - 1) - 6. Let f = 12 + z. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 11*g + 22. Calculate w(2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6126)\/(-45) + -3 + 86\/30. Suppose 3*k = l + 53. Calculate the greatest common divisor of k and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 9*o**2 - 18*o + 8. Calculate the smallest common multiple of 9 and l(6).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.5281728 rounded to 3 decimal places?\nAnswer: -7.528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141437, 282871, 424281, 565655, 706981, 848247, 989441, 1130551?\nAnswer: 1271565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + -232332 + (2 - (-9)\/(-3)). Let z = u - -502335. What is z rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k + 4. Let w be (9\/(-6))\/(-1)*2. Suppose 0*u - 36 = -4*i + 4*u, 0 = -i - 2*u + w. Calculate the remainder when v(-4) is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/5, 2\/5, -78, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 9:27 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + -60. Let r = b - -67. Let d = r + -40.013. What is d rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwdwkdwkgdjjwg. What is prob of sequence gww?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64\/3 + 62\/3. What is the closest to p in 0, -0.1, 12?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**4\/8 - 1337*c**3\/4 + 81831*c**2\/8 + 134793*c\/4 = 0.\nAnswer: -3, 0, 34, 2643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3933999.\nAnswer: 3, 437111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 2\/(52\/30). Let i = -3 - 4. Let x = 5 + i. Which is the closest to x? (a) s (b) -2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17456?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2\/6 - 27751*b\/6 + 152812 = 0. Calculate b.\nAnswer: -27784, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2. Suppose 1 = 3*u + 7. Let x(i) = 2*i**2 + 22*i + 50. Calculate the lowest common multiple of x(-2) and c(u).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90606 is divided by 302.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 633 (base 12) to base 9\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -19, -28, -41?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2815, 2656, 2497, 2338, 2179?\nAnswer: 2020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 1. Suppose -3 = -3*s + 9. Suppose 7*k = 3*k - s. Put k, r, 2 in ascending order.\nAnswer: k, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.35 + -0.15. Let w be 60\/(-27) - (-2)\/1. Sort g, w, 3\/4 in descending order.\nAnswer: 3\/4, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, o: 3, c: 6, j: 5}. Give prob of picking 1 j and 1 c.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.63 + -78.63. Let v = q - -72. Let f = -2 - 1. Which is the second smallest value? (a) -0.6 (b) f (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1421 - -122?\nAnswer: -1266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 9. Suppose v + k = 13. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27770650*g**3 - 13102263.\nAnswer: -83311950*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 16, -31*z = -34*z - f + 4397. What are the prime factors of z?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 5498306.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4)*v**(-2\/9)\/v)\/(v\/(v*v*v\/(v*v**(-1)\/v)*v))**(13\/6))\/(v*(v*v**(-6))\/v*v**(2\/17)*v**6\/v**4) assuming v is positive.\nAnswer: v**(968\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/9 (b) -3 (c) -0.039 (d) -30\/533\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 - 122*o**2 - 139*o - 5. Is x(-62) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 10 = -2*l. Which is greater: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 17. Let y be g(7). Let n = -9 + y. Differentiate -k + n - 1 - 4 - 4*k wrt k.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 3556744*s**2\/3 + 351400379293*s\/3 - 78089148818\/3.\nAnswer: (s + 197597)**2*(9*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -12 - 7) + (7 - 11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-2) + (36 - -1). Let t = x + -6. Calculate the remainder when t is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-4 + -4) - (7 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-1023))\/(3\/9).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2660 + -52401607\nAnswer: -52398947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*((x*(x*x**(-1\/4))\/x)\/x)\/x))**(24\/13)\/(x**(2\/5)\/x*x\/(x\/x**(-22)*x)) assuming x is positive.\nAnswer: x**(1684\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 + -2 - (74\/(-4) + 3) and -35\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 + 0. Let z = 0 - y. Which is the closest to 2\/7? (a) z (b) 4\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*f + 25*f - 147*f**3 - 43*f + (5*f - 3*f + 0*f)*(-4*f**2 + 0*f**2 - 3*f**2) to v*f**3 + x*f + k*f**2 + d and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - f + 18, f + 8 + 4 = 2*z. What is the remainder when 9 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3393 - -10696. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46 or -5894?\nAnswer: -5894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2562275577\/455 - -5631372. Let s = 33\/70 + r. Let p = 37841\/4858 - 150\/347. Calculate the common denominator of p and s.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59844 + 619150\/11. Let d = z + 3554. Let u = -22001\/13 - -1690. Find the common denominator of u and d.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 170 = 2*m + 166, s - 2*m = 72. Let n be s\/12 - (-2)\/(-4). Suppose -4*q = -3*g + 17 - 169, g = n*q - 179. Is 18 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(9)\/(sqrt(12)\/sqrt(4)*-3) + -1.\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48*i**2*y**3 - 2*i**2*y**2 - 4*i**2 + 247*i*y**3 + 304*i*y**2 wrt y.\nAnswer: -288*i**2 + 1482*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-11)\/n**(-50)*(n**(-47))**11 assuming n is positive.\nAnswer: n**(-478)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 468010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*m - 3*m + 2*m)*(7*m - m + 0*m) to j + y*m + o*m**2 and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/18840 and 16\/45.\nAnswer: 56520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*(sqrt(117) + 2*sqrt(117) + sqrt(117)))\/(sqrt(9) + (sqrt(27) - sqrt(27)*1)\/sqrt(3) + -6*sqrt(36)\/sqrt(4)).\nAnswer: -64*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3991*d + 4336*d + 16286 + 15109 for d.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.06, 7291, 17, -3\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + 2 - sqrt(28)\/sqrt(4)*-4)*6.\nAnswer: 12 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -777000 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 5*n - 2*n + 3 = 0, 5 = -5*n for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*y - 46*y - 44*y - 109 = 2*h + 43*y, -5*y + 69 = 3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 - -54 - (7 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 20.7, 0, 0.4?\nAnswer: 20.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1900\/3420)\/(2\/(-9)))\/(4\/(-16))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 864726.4 milliseconds?\nAnswer: 864.7264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -52488*z + 314480. Determine t(6).\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -14. Find the third derivative of o**2 - 2*o**6 + 0*o**6 - o**2 - w*o**2 wrt o.\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -836367230 = -3*h - 2*f, 0 = -f + 6*f - 5. Suppose 24789078 = -5*y + b + h, 0 = 2*y + b - 101600002. Round y to the nearest 1000000.\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(567))**2.\nAnswer: -568 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r + 126. Let y(q) = -5*q - 124. Calculate -7*i(n) - 6*y(n).\nAnswer: 2*n - 138","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 1, 0.5.\nAnswer: 0.5, 1, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + l - 1. Let q be z(14). Calculate the highest common factor of 19 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 796.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11706, -11895, -12210, -12651, -13218?\n\"Answer: -63*j**2 - 11643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 - 263\/3. Let k = -2.1 - -2.5. Let c = -5897.1 - -5892.1. What is the fourth smallest value in k, c, l, -3\/8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**3 + 3*f**3 + 3 + 11*f - 12*f as d*f**3 + l*f**2 + w + x*f and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 382 = -21*b - 1823. Let c = b - -61. Find the common denominator of c and -73\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/56 - 12\/28. Put z, 1.1, 2\/11 in decreasing order.\nAnswer: 1.1, 2\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27006 + 27009. Factor 4*f + 0 - 14\/3*f**2 + 2\/3*f**n.\nAnswer: 2*f*(f - 6)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q + 10. Let r(t) = -2*t - 3. Let w(o) = -5*h(o) - 16*r(o). Let y be w(3). Suppose -y*v = v. Solve v = n - 4*n - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-75))\/((-2)\/5)*-32.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**5 - 5208*j**4 - 1620708*j**3 + 11538352*j**2 - 19887744*j = 0.\nAnswer: -773, -536, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 28*s - 48*s + 12*s + 0*s.\nAnswer: -64*s - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 64 + (-35 - 30)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + sqrt(104)*-2)\/sqrt(8)*5.\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -312604188*w + 202570380 wrt w?\nAnswer: -312604188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-66))\/((-3)\/3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/55)\/(6\/21)*-1?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12222 divided by 1358?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 150 = 4*x - 7*x, -2*s = 4*x - 212. Let f be (-102)\/(-13) + 8\/x + -4. Solve 3 = -f*q + 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166073 is divided by 311.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.37845654 rounded to 0 decimal places?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 1234 = -2*j - 412, 0 = -3*r + 15. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -10, 924?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*k - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 10. What is the nearest to q in -0.2, 0.6, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31471 is divided by 126?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1739860, -6959428, -15658714, -27837724, -43496464, -62634940, -85253158?\n\"Answer: -a**3 - 1739853*a**2 - 2*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 297 - 291. Does 13 divide (29520\/12)\/l + (-2)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 714 and 408?\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3918 in 0.3, 1.85, -2, 3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 550007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1479922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c**(-3\/5)*c*c)*c)\/c**(-17) assuming c is positive.\nAnswer: c**(93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 + 66. Let o(u) = u + 4*u**2 - 1 + 4 + 3*u + u**3. What is the units digit of o(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + (sqrt(228) - 2*sqrt(228)*-6) + sqrt(228))*4*-3)\/((sqrt(1452)*-1 + sqrt(1452) - sqrt(1452))*2*3).\nAnswer: 30*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 38*r = 548 + 388 - 176 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -10*n**3 - n**2 + 3. Let j be x(-2). Let r = j - 77. Let l(a) = -11*a**2 + 0*a**r + 6*a**2. Let c(h) = -2*h. What is l(c(u))?\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(1*sqrt(1088)*3 + sqrt(1088) + -2*(sqrt(1088) + 0)) + 4)*6)**2.\nAnswer: 23040*sqrt(17) + 3917376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0327 - -3.8573. Let u = z + 0.11. Let c = u - 4.4. What is the third smallest value in 2, 3, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 - 16*a**2 + 2*a + 16. Let d be c(-8). Suppose 2*x + 8*x - 18380 = d. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102588.\nAnswer: 2, 3, 83, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 148398, 148396, 148394?\n\"Answer: -2*d + 148400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 1. Let v be y(4). Let i(m) = m**v - 3 - 2*m**3 + 8*m - 3*m**2 + 1 - 1. Does 25 divide i(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xuw when three letters picked without replacement from {u: 8, x: 2, z: 4, w: 1, t: 4}?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67285552663.9943 - 67288985054. Let m = k - -3432246. Let j = m + 144. Round j to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*g**2 - 1 - 4*g**3 + 2*g + 56*g**4 - g**3 + 3*g**4 - 60*g**4 + 2*g**4 to the form i*g + t*g**3 + n*g**2 + v*g**4 + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, l: 3, p: 2, o: 3, t: 1}. What is prob of picking 2 p?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2428 + 4060. Suppose -13*n = -5*n - w. What is the remainder when n is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 69914 at most 69894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 672.01 + -672. Which is the nearest to n? (a) -1\/2 (b) 2\/13 (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - 148*b**2 - 160*b + 304.\nAnswer: 4*(b - 38)*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcrok. Give prob of sequence rk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - 2.5. What is the second biggest value in -2, 0.5, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 2 (b) -1 (c) -1.4 (d) -20 (e) 4 (f) -1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - -0.6. Put w, 5, -0.7 in increasing order.\nAnswer: -0.7, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228\/(-399)*441\/18?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -4)\/(2\/(-3)). Let w = 1076\/5 + -216. Let g = w + 23\/10. Is h equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.48385 and -221?\nAnswer: 106.93085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/(-4))\/(2 + (-8)\/(-80)*-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -10174?\nAnswer: -50870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/300 and 157\/94448190?\nAnswer: 944481900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*sqrt(288) + sqrt(2))*4*-5.\nAnswer: -1560*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2230 - -3370. Suppose -11*p + x = -9*p. Round p to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*w + 3*w + 28. Let n(z) = z - 4. Let k be n(-6). Let f be (-8)\/k - (-3)\/15. What is the closest to f in -1\/7, -0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.345, -3.5, -1, -0.5, -1\/3 in increasing order.\nAnswer: -3.5, -1, -0.5, -0.345, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330*d**2 + 2*d**3 + 3*d**3 - 330*d**2.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41.58895 - 0.054.\nAnswer: -41.64295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 + 0*v**2 + 2*v**2 - 4*v**2 + 4*v - v**3 + 2 as l*v**2 + m + i*v + k*v**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.959*58.\nAnswer: 171.622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r. Let a(n) = 141*n**2. What is a(j(k))?\nAnswer: 2256*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9744 + 0.5744. Which is the third smallest value? (a) -2\/9 (b) 0.088 (c) -1\/4 (d) l (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18173?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 5*v = 2*o + 55, 254*o = 249*o + 6*v - 22 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1) + 0 + (-3 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-10))\/(-2)*28\/112.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-520)\/45 + 4788\/162.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297689608028 - -1504?\nAnswer: 297689609532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.99 in -5, 2, 30\/31, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/(-8))\/((-14)\/56). Let n(c) = 7*c + 4. Let b be n(m). Let j = 36 + b. Sort j, 4, 0, 3.\nAnswer: 0, 3, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2470 - 26*r**3 - 2470.\nAnswer: -26*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -36013360 (base 7) to base 14\nAnswer: -5cad30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/418 and -139\/1026.\nAnswer: 11286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28\/3 of a century?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 3:48 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-112)\/(-1320))\/(150\/279). Let u = g - -3\/125. What is the second biggest value in -47, u, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 1 = 4*w - 7, 4*q = 4*w - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368 = 3*j + 53. What is v in -168*v - j - 3*v**3 + 101 + 39*v**2 + 9 + 123 + 112 = 0?\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201600 is divided by 123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3890145533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12830?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -35. What is the highest common factor of 2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*c + 2290 = 0, s - 5*c = 23 + 451. Let z = 144 + s. Let h be z\/130 + 0 + (-6)\/10. Solve 13*w - 9*w = -h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -1. Suppose 3*q + y*k - 21 = 2, -4*k = 4*q - 24. Suppose o - 2 = 3. Sort o, -2, q in descending order.\nAnswer: o, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70.294 + -0.194. Let h = -2098.4 + 2170.4. Let i = h - m. Round i to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**4\/4 + 5*k**3\/3 + 3*k - 1. Suppose -9*o - 35 = -2*o. List the prime factors of n(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 317313 and 2609018?\nAnswer: 23481162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105911*r**3 - 3873*r + 134 - 1284*r**2 + 105914*r**3 - 2720 = 0.\nAnswer: -2, -1, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(126)*-3)\/(-4*(sqrt(72) + -2*sqrt(72))).\nAnswer: -9*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 32828.\nAnswer: 65656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -3. Let y = t - 1. Suppose -4*g = 2*h, 2*g + h = 7*g - 14. Solve -4*a - 5*l = -5 - g, 4 = -y*l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9436710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, w: 2}. Give prob of picking 2 n and 1 w.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 - 5*i + 32. Suppose -23 = -4*r + 1. What are the prime factors of g(r)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 15 = -25. Suppose -f*z = -5*z + 35. Let i(a) = a**3 - 3*a**2 - 4. Let d be i(3). Sort -5, d, z in decreasing order.\nAnswer: d, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.023244964 to three decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*u + 63*u + 14 - 35*u)*(4*u**2 - 4*u**2 - 2*u**2)*(3*u - 6*u + 4*u) to the form g + w*u + f*u**4 + a*u**2 + s*u**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 402 - 281. Let n = -65 + i. Let g be (-12)\/(-48) + (-110)\/(-8). What is the greatest common factor of n and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, v: 3, c: 5}. What is prob of sequence hv?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-108)\/(-144)*(-91072)\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 + 2*n**3 + n**3 + n**2 + n**3 - n**2 + (3 - 3 + n)*(-2*n**2 + 0*n**2 + 3*n**2) + (2 - n - 2)*(4*n**2 - 3*n**2 + 4*n**2).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 2:47 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-234)\/39)\/(-3*(-75)\/135)?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 + 6 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 16*t**2 - 41*t + 25. Give x(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b = -8*b - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 705 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4\/19 - 6\/209. Suppose 2*m - 6 = -0*m. Suppose -a = -4*g + 21, 2 - 13 = -4*a - m*g. Which is bigger: q or a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240521?\nAnswer: 19, 12659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 4*z**2 - 7*z - 5. Let q be d(-5). Let j = 0.19 - 0.29. What is the nearest to j in -1, 1\/4, q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3660142?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 50*f + 221. What is the lowest common multiple of g(31) and 20?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 6*y + 23. Let r be h(7). Let k be r\/16 + (1 - -758998). Round k to the nearest 10000.\nAnswer: 760000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1108458732 + 1148849.\nAnswer: 1109607581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3971 is divided by 31.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11661 (base 7) in base 13?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**4\/24 + 4*m**3\/3 + 4*m**2. Let q be z(7). Let u(w) = 183*w**3. Is u(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 2432, -4 in decreasing order.\nAnswer: 2432, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04774126 and 0.017?\nAnswer: 0.00081160142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - 11211?\nAnswer: -11204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33427379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -169944, -169943, -169942?\nAnswer: -169941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2 + 16219*u + 259248 = 0. What is u?\nAnswer: -16203, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -5640000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/3*(-4)\/(-1). Let q be (-2 - -2)\/(1*-2). Solve q*f + k = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 + 270*o + 1116. Let t be g(-4). Which is the nearest to -0.11? (a) 2\/5 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 divided by -5?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 5) + 8 + 27 + -8\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**3 - 3*s**2 - 12*s. Suppose 4*r = -19 - 21. Let z(q) = -q + 1. Give r*z(p) - 2*d(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -1\/12*u**4 + 0 - 2\/3*u**3 - 3*u + 1\/2*u**2. Let w be r(-3). Solve -11 = 3*d + j, -3*j - 11 = w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**5 + 2638*t**4 - 38*t**3 - 50110*t**2 + 15972*t + 189936 = 0.\nAnswer: -1319, -4, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 - 2*v**3 + 1254*v**2 + 14 - 33 + 16 - 2*v**3.\nAnswer: -2*v**3 + 1254*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16191581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqci when four letters picked without replacement from icijqiiiqic?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6338 (base 11) in base 9?\nAnswer: -12452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-9 - (-23 - -13)) + (6 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*d + 3*g, 2*d - 3*g = 6*d + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001504258 to seven decimal places.\nAnswer: 0.0001504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -4a57783?\nAnswer: 4a57782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from brrbbbrrrbrbbrbbrbr.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2039*a**2 - 661*a**2 - 675*a**2 - 698*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - m. Let p = -14 + 15. Let l(q) = 11*q**2 - 2*q. Let b(n) = p*l(n) - 5*x(n). Find the second derivative of b(v) wrt v.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*b**3*c**3 - 10529*b**2*c - b*c**3 - 2*b*c**2 + 3*b*c + 821*c**3 wrt b?\nAnswer: 108*b*c**3 - 21058*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 19*h + 28 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 136*v**2 - 7*v + 1. Let u be f(3). Suppose -u = -14*d + 1092. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 371*z**5\/12 + 145*z**4\/6 + z**2 - 958*z. Find the second derivative of x(d) wrt d.\nAnswer: 3710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2068 by 8705.\nAnswer: 2068\/8705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133014?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 13*r**2 - 16*r + 20. Is k(-14) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*j + 68*j - 35*j to q*j + s and give q.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5 - 3 + 0*c - c**2 + 4*c. Let t be n(3). What are the prime factors of (2\/4)\/(t\/150)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22779?\nAnswer: 3, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, k: 1, m: 5, d: 1, o: 2}. What is prob of sequence lm?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47*c**4 + 7*c**3 - 91*c**2?\nAnswer: -1128*c + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 8*l - 110. Let n(b) = -b**2 - 4*b + 23. Let g be n(0). What is the third derivative of -l*q**2 + 37*q**2 + g*q**5 + 15*q**5 - 18*q**5 wrt q?\nAnswer: 1200*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -15*c**3 + 237*c**2 + 50*c - 20. Let g be a(16). Solve g*p - 101 = -149 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11871.\nAnswer: 3, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103 - 62. What is the remainder when r is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c - 18. Let m be p(11). Suppose m*d - 4 = 2*s - 24, 3 = 3*s + 3*d. What is the third derivative of -40*y**4 + 2*y**2 + 21*y**s - 6*y**4 wrt y?\nAnswer: -600*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -3\/4, 0.1, 1\/4, -1.6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 515 + 35?\nAnswer: 54a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11181.\nAnswer: 3, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 614 - 0?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (87\/(-15138))\/(9\/(-162))\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 28 + 20 = 0. Let i be 4\/c - 1\/22. What is the biggest value in 10, 1\/4, 3, i?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 9*t + 137. Determine r(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*h - 158*h - 1336 = -27*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - 1.8. Let p = -6 - -8. Which is the closest to 0.1? (a) q (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*y + 2 - 3 = 0, 5*y - 20 = 0. Suppose 0 = q*s - 3*c - 438, 2*s - s = 5*c + 130. Suppose -11*r = 18 - s. Solve 0 = 4*f - r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h - 10*h = 3*a - 2, 0 = -42*a + 378 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 5*m**2 - 5*m. Let g be t(-4). What is the remainder when 55 is divided by 8\/g - -4*(5 + -2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -3. Let p = n + -4. Which is the third biggest value? (a) -0.2 (b) 0 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 22*h**2 - 83*h + 282. What is the lowest common multiple of 555 and v(-16)?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2043\/(-60) + (-16456)\/(-484)\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 5:50 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -3, 5, 1154, 12, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 1, 4, -3\/4 in increasing order.\nAnswer: -3\/4, 2\/7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 11*q**4\/4 - 35*q**3 + 36*q**2 + 88*q - 1. Factor t(c).\nAnswer: 3*(c - 6)*(11*c - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26) - sqrt(26)*-6)*-5)\/(sqrt(16)\/(sqrt(8) - 3*sqrt(8)) - sqrt(2)).\nAnswer: 70*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 32*w + w. Solve 7*h - 30 = 2*h - 4*x, 0 = w*h - 2*x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -6) + (2 - (17 - 19))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-2*sqrt(2940))\/(sqrt(336)\/(sqrt(21)\/sqrt(3))) + -3)**2*-3.\nAnswer: -2967 - 252*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22354 (base 6) in base 4?\nAnswer: 301132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3 + sqrt(4)\/sqrt(2) + 2)**2.\nAnswer: 2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88 - -148. Let c be (-4)\/(v\/(-415)) + 2\/(-3). Suppose 93 = 5*f - c. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31285440 divided by -55080\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.4 - -1.22. Let q = 6.82 - g. Let p = q - 6.99952. Round p to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -z - 4*p - 16, -4*z + 5*p = 166. Let i = z + 324. Let u = i - 192. Calculate the highest common factor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + sqrt(343) - sqrt(343)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 10:39 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100000 (base 2) to base 12.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*m**2 - 22*m**4 + 22*m**4 - 10*m**5 wrt m?\nAnswer: -600*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*t + 244, 4*r - 3*r - t - 81 = 0. Is r a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -37*x**2. Let s(p) = -p**2 + 131 - 131. Calculate m(s(c)).\nAnswer: -37*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -134 - -189. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c**2 - c**3 + 7*c + 0*c + 0*c**3 + 7 + c**2. Let m be l(-6). Sort m, 3, -1.\nAnswer: -1, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -11 + (-7 + -20 + 10 - 62)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-6*1*sqrt(108) - (1 + sqrt(108) + 4)**2) + 0 + ((sqrt(72)*-2)\/sqrt(8))\/sqrt(3).\nAnswer: -98*sqrt(3) - 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (41 - 42)\/(3*(-3)\/39654)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18526*d - 4*y + 14 = 18528*d, 2*y = -2*d + 10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923301044.\nAnswer: 2, 230825261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 454 - 461. Let v(d) = 3*d**2 + 4*d + 20. What is the hundreds digit of v(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - x = -3390, 17*s - 12*s = -4*x + 8481. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -31*o - 2980. Let k(r) = 3*r + 331. Determine -4*c(j) - 38*k(j).\nAnswer: 10*j - 658","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, k: 1}. Give prob of picking 1 t and 1 k.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqv when three letters picked without replacement from rqgqqggrglv?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 13*j**4 - 319*j**3 - j**2 + 311*j. Let z(u) = 11*u**4 - 318*u**3 - 2*u**2 + 312*u. Let i(x) = 3*c(x) - 4*z(x). What is h in i(h) = 0?\nAnswer: -1, 0, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 5:34 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -16*y**3 + 11*y**2 - 3*y - 3. Let s(b) = 15*b**3 - 11*b**2 + 2*b + 2. Let p(f) = -2*d(f) - 3*s(f). Find the third derivative of p(k) wrt k.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 31 (b) 745\/4 (c) 54\/19 (d) -0.2 (e) 1 (f) -2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 36. Suppose p*x + 1357 = 9*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 791317828.\nAnswer: 2, 7, 523, 54037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449*a**2 + 148*a**3 - 451*a**2 - 426*a**3 - 413*a**3.\nAnswer: -691*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -5*f**5 + 30*f**4 - 40*f**3 - 30*f**2 + 45*f = 0?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 6*i - 2. Let z be x(-5). Let v = -27 - -25. Let s be -3 - (-32)\/4 - v. Solve -z*d = 0, -2*y + s*y = d + 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*j - 4, 4 - 1 = -3*m. Let l(v) = 6*v**2 - v - 1. Let y be l(-1). Let g be (y - 2) + j - 0. Solve 3 - 9 = g*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 762 + 596 = -97*j for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 3, -0.29, 648.\nAnswer: -22, -0.29, 3, 648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2584207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 9:17 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.07 (b) 17 (c) 0.05 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 132711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 78.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22\/7 + -20\/7. Let x(b) be the third derivative of b**6\/120 - b**5\/30 + b**4\/24 + 3*b**3\/2 + 3*b**2. Let r be x(3). Is m at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 - -49.72. Let f = q + 9. Round f to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -21 + 19 + -23 + (-8)\/(-2). Let s be (3\/5)\/(j\/(-9030)). What is the greatest common divisor of 172 and s?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84942 and 67639.\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3067291 is divided by 25349?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46515621 and 3417?\nAnswer: 3417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49779625309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 7, v: 8, d: 5}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 418820 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.5 and 404223.\nAnswer: -1010557.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.63 (b) 0.4 (c) 3\/7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5904 and 5718?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.8 + -3.3. Which is the nearest to -1? (a) w (b) -12 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*h = -54*h + 4*a + 7, -5*a - 15 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96344 by 48172.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 154199089.8 milliseconds?\nAnswer: 0.2549588125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1500*p + 1409*p = 1001 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335 = -28*s + 29*s. Let w = s + -1001\/3. Let f = 0.5 + -4.5. Which is the closest to -1? (a) w (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 24*f + 39. Suppose 4*w = 3*w + 25. Let x be s(w). Let y = 22 - x. Solve j + j = y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105033?\nAnswer: 3, 157, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**4 + 4*k**4 - 7*k - k**4 wrt k.\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 261.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50486*v - 50486*v + 48567*v**2 - 1.\nAnswer: 48567*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4\/5 (b) 5 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 481878911.\nAnswer: 23, 31, 419, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2019\/15 - (-2)\/(40\/(-12)). Suppose -94 + 554 = 5*c. Let z = t - c. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/91 - (-184)\/13. Let v(r) = r**2 - 11*r - 4. List the prime factors of v(g).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 69*u**2 + 4. Let t(f) = -257*f**2 + 28*f**2 + 366*f**2 + 9. Determine -9*a(w) + 4*t(w).\nAnswer: -73*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1729\/12 - 144. Let z = 7\/12 + r. What is the third smallest value in 2\/13, -0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -88868*n**3 - 11*n - 12584458 wrt n?\nAnswer: -266604*n**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -90880065 - 3?\nAnswer: -90880068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 11:43 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31337 + 8447?\nAnswer: 40785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9023152.2 rounded to the nearest one hundred thousand?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 + 7*f + 16. Let j(s) = 3*s**2 + 12*s + 32. Calculate -5*b(g) + 3*j(g).\nAnswer: -g**2 + g + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (5\/2)\/(5*(-11)\/(-88))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 - 18*g - 120.\nAnswer: 3*(g - 10)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41436 + -10461?\nAnswer: -52230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -26. Solve z + p*z - 9 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234*f + 4849373 = 34*f - 1778535. What is the thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -196 - -196. Solve -5*p = h - 9 - 10, p + h - 3 = z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -38. Find the common denominator of 8\/j - 48\/55 and 40.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 6:32 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 - 7527.625\nAnswer: -7527.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/62744093 or -1?\nAnswer: -7\/62744093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -3\/1690, -1630, -2\/9?\nAnswer: -1630","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1900.48555 + 2029.485547. Let u = g + -129. Round u to 7 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 - 125 - t + 9*t - 5*t + 2*t**4 - 3*t in the form c*t**4 + y*t + b + j*t**2 + u*t**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - ((-2)\/(-7) + (-464)\/56). Suppose 0 = -13*p + x*p + 12. Solve -p*k - 20 = -8*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 312777292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1, 4, 1.20083, -11 in decreasing order.\nAnswer: 4, 1.20083, -0.1, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2980 and 447?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4 + (-6 - (-1 + -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 12:10 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*f - 54 - 202. Let z(x) = 2*x + 43. Is 5 a factor of z(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -86330813980.\nAnswer: -86330813979.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*a - 2161 - 3299. Let i = 368 - a. Let s = 8 - 4. Solve 5*p - i = s*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/7 - 530*y**2\/7 - 4032*y + 953856\/7.\nAnswer: -2*(y - 23)*(y + 144)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90977444 divided by 46703.\nAnswer: 1948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2892.2005184 + 2892.2. Round t to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - h + 1. Let m be f(-4). Let n be (-7)\/(m\/(-18)) + -2. Suppose 4*j - n*g - 30 = 2*j, 50 = 4*j - 3*g. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 523 * -2.\nAnswer: -1046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.2163741 hours to weeks.\nAnswer: 0.0727165125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 16 = -5*c + 21, -3*c + 5*h + 30 = 0. Let o = -79121\/93060 - -1\/4653. What is the common denominator of o and (-7)\/(-36) + c + -3?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = 68*a - 71*a. Calculate the highest common factor of a and 616.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2643*a**4 + 50 - 2637*a**4 + 19 - a - a**5 wrt a.\nAnswer: -20*a**3 + 72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11303 - 11304.46. Sort c, -0.3, -4\/7, 5, 0.\nAnswer: c, -4\/7, -0.3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 1\/12*t**6 - 1\/18*t**3 - 18 - 1\/8*t**4 + 0*t**2 + 1\/30*t**5 + 0*t. Determine n, given that s(n) = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 11\/28701 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-4\/5))\/l)\/l**25)\/((l\/(l**(-3\/2)*l))\/l**(4\/3)) assuming l is positive.\nAnswer: l**(-731\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*h**2*p**3 - 3*h**2*p + 440*h**2 + 52*h*p**3 - h*p - 24*p**3 + 5*p**2 wrt p.\nAnswer: 108*h**2 + 312*h - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -3. Let t = 0.207 + -0.707. Let z be 16\/((-10)\/40*-8). What is the second smallest value in 0.5, d, z, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 31*n**2 - 4*n + 8. Let o be i(5). Suppose -4*b + o = -b - y, -y = 1. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.005 in 1\/4, -2\/7, 2, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88456098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 7*j + 7. Let g be k(-5). Suppose 3*i - 75 = -0*i. Suppose -v + 9 = -l, 0*l + 5*l = -i. Put v, 1, g in descending order.\nAnswer: v, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11479*w + 14 = -11480*w + 3*b, -2*w - 17 = 5*b for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2025 + -2016. Sort -20, o, 1 in increasing order.\nAnswer: -20, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*g**2*s**5 + 321*g**2*s**2*z - 2*g*s**2*z + 19*s**3*z wrt s.\nAnswer: -900*g**2*s**2 + 114*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -132? (a) -6 (b) 0.5 (c) 9 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**4 + 2*r - 2*r**4 + 1 + 12*r**3 + 4*r**2 - 20*r**3 + 5*r**3 to t*r**2 + u + s*r**3 + h*r + a*r**4 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywop when four letters picked without replacement from wwwopwywynwwwwwww.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u**2 + 15*u - 8. Give k(22).\nAnswer: 3226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1542.5645 plus 16?\nAnswer: 1558.5645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/9))**(37\/3)\/(w*w**(2\/5))**(-4\/5))**(2\/5) assuming w is positive.\nAnswer: w**(5212\/3375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 + 97 - 97.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 166\/43431 + 1628530381\/477741. Let x = g + -3404. What is the common denominator of -18\/5 and x?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3195, 12810, 28825, 51228, 80007, 115150?\n\"Answer: -2*p**3 + 3212*p**2 - 7*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 110.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 18*w. Let p(r) = -r**2. Give p(g(n)).\nAnswer: -n**4 - 36*n**3 - 324*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -1) + 14\/26. Let h = 1851 + -120319\/65. Let x = o - h. Is 1\/3 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36313 divided by 5.\nAnswer: -36313\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -6.3, -67, 0.6, 4, 0 in decreasing order.\nAnswer: 4, 0.6, 0, -0.07, -6.3, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -3, 2 in ascending order.\nAnswer: -51, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80959763.\nAnswer: 17, 167, 28517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1317006751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 6*n**2 - 5*n - 6. Let b(p) = 2*p**3 + 17*p**2 + 14*p + 17. Let l(h) = -6*b(h) - 17*m(h). What is the second derivative of l(r) wrt r?\nAnswer: 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239.76402 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -677008 divided by 4.\nAnswer: -169252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 914429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 608*y**3 + 16*y - 609*y**3 - 16*y.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 3*z**4\/4 - 17*z**2. Let h(t) = -6*t + 0*t + 5*t. Give x(h(b)).\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 33*v - 270. Calculate the smallest common multiple of 1406 and g(7).\nAnswer: 7030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9591385, 0, 3 in increasing order.\nAnswer: 0, 3, 9591385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1023*h**2 - 147294*h - 2592.\nAnswer: 3*(h - 144)*(341*h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 3*q - 2, -3*c - 4*q = -8*q + 22. Let d be c + 2 + -1 + -6. Let p = d - -7. Solve v = -p*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -688, -730, -808, -934, -1120, -1378, -1720?\n\"Answer: -2*p**3 - 6*p**2 - 10*p - 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 483*z - 483*z - 87*z**3.\nAnswer: -87*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 79605*n + 79600.\nAnswer: 5*(n + 1)*(n + 15920)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.67 + 0.67. Let b = -0.2 - -0.1. Let q = -0.9 + b. Which is greater: q or y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 + -1.95. Let c be (-6)\/27 - (-164)\/9. Let h = 23 - c. What is the closest to -0.1 in t, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-111)\/74)\/((-90)\/8)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(50) + sqrt(350)\/(sqrt(28)\/sqrt(4))) + 2*(1*sqrt(2450) + sqrt(2450)).\nAnswer: 100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*s**2 + 79*s**2 - 39*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 13 + 17 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 9:32 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*t - 47*t + 23*t + 11*t**3.\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3 - 289*r**2 - 19280*r - 89300 = 0. What is r?\nAnswer: -190, -94, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-303)\/(-808))\/(6\/112) - (-53)\/1. Solve 21*b - 33*b = p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -455 - -112880?\nAnswer: 112427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 18*r**2 + 2*r - 92. Let f(d) = -10*d**2 - d + 46. Calculate 7*f(g) + 4*k(g).\nAnswer: 2*g**2 + g - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222905, 222943, 222985, 223031?\nAnswer: 223081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 152 = -2*q. Let a = q - -53. Solve 5*b - 4*m + 3 + 0 = 0, 5*m + a = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 3*m - 4*m + 2, -9880*m - 134 = -9813*m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120112 + 211020111112?\nAnswer: 211012221000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 12:07 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 13*k - 3. Calculate the remainder when 25 is divided by c(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3151.8 - -3152. What is the second smallest value in 1, -5, v, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 65*b**2 - 762*b + 894. Calculate d(75).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*u - 62*u - 2*d - 641, 421 = 3*u + 4*d. Is u <= 148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b - 3. Let u(s) = 9*s - 13. Give -26*i(o) + 6*u(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5100 = 295. Let d = 2065 + j. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 148\/37*20*13\/(-13)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 19*h**2 - 12*h + 12. What are the prime factors of a(18)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -m - 4*b + 14, b = 2*m - 28. Solve -11*d + m*d - 32 = -5*o, 0 = 3*d - 4*o + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43399 divided by 39.\nAnswer: 43399\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ftfttftt. What is prob of sequence ttft?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -52*h**2 + 1658*h + 141. Give x(32).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)\/b**(-4\/3))**(-35)*((b**3*b)\/(b*b**(-3)))\/((b**4*b*b)\/b**5) assuming b is positive.\nAnswer: b**(295\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + sqrt(405)))**2.\nAnswer: 450*sqrt(5) + 10150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1664 and 672?\nAnswer: -1118208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1702409072 a multiple of 2072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 11*g**2 + g + 3. Let t be o(-3). Let x = t + 781. Calculate the greatest common factor of 20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rtl when three letters picked without replacement from {l: 8, r: 4, n: 2, t: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*z + 31*z + 12*z.\nAnswer: 95*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -140 - -135. Which is the nearest to y? (a) -0.2 (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.2, 0.03, -3\/5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kne when three letters picked without replacement from ekn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((((sqrt(147) - (sqrt(147)*1 - sqrt(147))) + -3)**2 - sqrt(147)) + sqrt(147) + sqrt(147) + (sqrt(147) - 5*sqrt(147)*2)) + 4 + -2 + -3.\nAnswer: -588*sqrt(3) + 935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j + 2. Let m(g) = 4*g - 3. Suppose -2 = -4*y + 10. Let f(i) = y*t(i) + 2*m(i). Let o(a) = 5*a - 3. Calculate 6*f(l) + o(l).\nAnswer: -l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*a - 4*a + 18, 5*a = -4*i + 12. Let f be 4\/6*18\/a. Let k be -5 - (2 - (4 + -2)). Sort 0, k, f in decreasing order.\nAnswer: f, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*n - 2 + 2)*(-2*n**2 + 5 - 5) + 2*n**2 - 2*n**2 - n**3 + 3 - n**3 - 3)*(-9*n + 12*n - 8*n).\nAnswer: 30*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2536*b - 239 + 187 + 2535*b + 2*b + 0*b - b + (-2*b + 5*b - 4*b)*(2 - 2 - 1) + 4*b - 2*b - b)*(3*b + 2*b + 0*b) to t*b + v*b**2 + j and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjw when three letters picked without replacement from jwwwjwewweewj.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2097.268mg to micrograms.\nAnswer: 2097268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2. Let l(n) be the first derivative of -27*n**2\/2 + 11. What is l(y(s))?\nAnswer: -54*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + 2*g - 2*g)*((4 + g - 4)*(0 + 2*g + 0) - 11*g**2 + 5*g + 0*g + 13*g**2) + 2*g**3 - 6*g**3 + 2*g**3 to t + i*g**2 + q*g**3 + r*g and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 7. Let f = -13.5 + i. Let s = f + 9. Which is the third smallest value? (a) -2 (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-144)\/3960 + (-3063)\/165 + (-16)\/(-10)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70 + 106. Let b = -182476 + 182530. What is the least common multiple of n and b?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 236, 234, 232, 230, 228?\n\"Answer: -2*r + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -15*c - 28. Let s be g(-2). Suppose -28 = -r + 2*w, -13 = s*r + 2*w - 45. 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 18 (base 12) in base 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23 + -154?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1167 + 29.2694.\nAnswer: -1137.7306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*t - 42*t - 6*h + 14 = -82*t + 42, t = -h - 7 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113662 is divided by 198?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 + (-5)\/(-5) + -4. Suppose -q = 4*s - 13 + w, s - 9 = 2*q. Suppose 2*k + b = 0, 2 = -5*k - 0*b - s*b. Solve k*f + 6 = -0*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75*30\/(-5400))\/(2\/(-12)*10).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2088*v - 2088*v - 4*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(300) - (5*(sqrt(300) + 2) - sqrt(300))))**2 + (-4 + sqrt(243) + 0 - sqrt(243))*6.\nAnswer: 5400*sqrt(3) + 25176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5793132932?\nAnswer: 2, 1448283233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93*w**5 - 3*w**3 + 226*w**2 - 3*w wrt w?\nAnswer: 5580*w**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -10. Let h(i) = i**3 - 6*i**2 + 6*i - 4. Give h(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -5*g + 3*x - 13, 0 = -2*g - 4*x. Let d(a) = a**3 + 4*a**2 + 2*a - 2. Let j be d(g). What is the second derivative of j*q - 27 - 4*q**2 + 27 wrt q?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 6*q**2 + 9*q. Let o be c(-7). Let u(g) = g**2 + 2*g + 19. List the prime factors of u(o).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 - k. Let l be x(1). Let n = l + 0. Suppose -4*y + 14 = 2*h, 0 = h + 3*h - 3*y + 16. Sort n, h, 4 in ascending order.\nAnswer: h, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 81\/255 + (-23)\/115. Put 6, x, -0.3 in ascending order.\nAnswer: -0.3, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 r when three letters picked without replacement from {v: 2, r: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 5*k**2 + 5*k + 11. Let l be n(-3). Suppose -l = -g - 12. Solve -2*r + 2*j = -10, 4*r - g*j + j = 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 2 (c) -5 (d) -43\/2 (e) 18 (f) -1\/6 (g) -0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -10) + (7 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 95?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 99349 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (182924\/(-6))\/((-6)\/(-27)). Let b be q\/28 + (-1)\/4. What is b rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*u + 20. Let v = u + -4. Solve 0 = 3*k - 15 - v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/108 and 43\/2929116.\nAnswer: 26362044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 489 + -325. What is the highest common factor of 8 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m + 18. Let x be ((-17)\/(85\/6))\/(4\/(-1270)). Let n = x - 392. Give g(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -311934*d**6 + 363541*d**2 wrt d.\nAnswer: -37432080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -42930851, -42930853, -42930855?\n\"Answer: -2*p - 42930849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 - 4*m - 2. Let q be h(-3). Suppose -3*z + 4*n + 6 + 7 = 0, n - q = -5*z. What is the remainder when 32 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 657943419 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ocooooiocohc. Give prob of sequence cco.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -9\/4 (c) 1 (d) 2 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 639.4943 millilitres to litres.\nAnswer: 0.6394943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 307 - 217. Suppose 5*o - s = -o. Is 12 a factor of (2 - o)\/(-4 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 107*s - 1. Let b be z(1). Suppose -5*h - 4*g + 208 + 222 = 0, -4*g = 0. Let o = b - h. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 6. Let g be b(6). Suppose -4*l + 4 + 4 = g. Let h be -1 + 1 + -4 + l. Which is bigger: h or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*16\/(-288))\/(3\/108).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(153) + sqrt(153)*2*5))\/((sqrt(864)*-2 + sqrt(54))\/sqrt(6)).\nAnswer: 22*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5564 + -5538. Solve -4*s - 6 = 4*h + a, -5*s - h - 20 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 5 - 4. Let m be ((3 - p)\/(-1))\/1. Suppose 5*w - 8*w = 10*w + 13. What is the closest to -2 in -2, m, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 553499\/369 - 1500. Let p = -187\/21771 + z. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 11830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a microgram in nanograms?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**4\/12 - 2*p**3 - 13*p**2\/2 + p. Let s be k(-9). What is the highest common factor of s and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 224269 from 4444.\nAnswer: -219825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, 8 in increasing order.\nAnswer: -9, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 73*s**3 + 23*s - 24. What is the units digit of g(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-45)\/(-210))\/((-2)\/((-144)\/(-27))). Let u = -0.27 + -0.03. Sort u, 9, z, 0.01 in decreasing order.\nAnswer: 9, 0.01, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 58, 127, 232, 379, 574, 823?\nAnswer: 1132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 839440402 to the nearest integer?\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 221 + 10*i - 222 - 2*i. Let u(t) = t**2 + 6. Let n be u(0). Let s be o(n). What is the greatest common factor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19c772 (base 14) to base 10.\nAnswer: -917968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 177*o - 49. Let w be s(20). Suppose -3*k - 16*y + 17*y = -w, 0 = 5*k + 2*y - 5811. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 274975147*q**3 - 84831837 wrt q.\nAnswer: 824925441*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 2*v + 15, 7*o - 5*o = -v + 6. Suppose 5*z - 22720 = -o*g, 0 = 2*z - 2*g - 3*g - 9119. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 51 = 3*u. Suppose 25 = u*l, 2*j - j - 2*l = -4. Let i = 4 - 2. Solve -y = -i + j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 2 = -2*o. Let n be (76\/80)\/(48\/o). Let u = n + 733\/192. Calculate the common denominator of u and -35\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 14*l + 15. Let r be v(13). Let p = 4 + -1. Let b be 12*p\/(-12)*-2. Calculate the highest common factor of r and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6460.804 days?\nAnswer: 9303557.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 5. Let c be n(-16). Let w = c + 69. Suppose 2*a + 3*a - w = 0. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -508.5 - -508.6. Suppose 2*h + 25 = -3*h. Put w, h, 2, -0.5 in ascending order.\nAnswer: h, -0.5, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - -1)*(-20)\/(-720). Let x(q) be the second derivative of 0*q**2 - n*q**4 + 0*q**3 + 0 - 4*q. Let j(r) = -6*r**2. What is x(j(c))?\nAnswer: -36*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43341757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 7*r - 1. Let m be n(7). Let d(o) = 5*o**3 - 4*o**3 + 2*o - 3*o**3 + 2*o**2. Let s(a) = 2 - a**2 - a - 2 + 0 - 1. Give m*d(y) - 2*s(y).\nAnswer: 2*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 6*g - 25. Calculate the highest common factor of g and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 163*g**5 - 4*g**3 + 229*g**2 - 4. Let u(i) = i**3 + 2*i**2 + 1. Let d(s) = c(s) + 4*u(s). What is the third derivative of d(t) wrt t?\nAnswer: 9780*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -764 (c) -0.1 (d) -1\/45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 91*(-90)\/(-693).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -203320123012?\nAnswer: -203320123013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**4\/4 + 7*o**3\/3 + 2*o**2 + 6*o - 3. Is w(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/370366 and -10\/1296281?\nAnswer: 2592562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuyc. Give prob of picking 2 u and 1 c.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 526*-3*(-13)\/26?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 46*p - 17. Let a(x) = 80*x - 29. Let o(v) = 6*a(v) - 11*y(v). What is o(-2)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 692.6064ml?\nAnswer: 0.6926064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1623 + -553157?\nAnswer: -551334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 7*f**2 + 13*f - 22. Let m be d(11). Let v = m - -386. Calculate the remainder when 36 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 - ((78 - 69) + -38)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 896 > 851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11456 (base 11) to base 6\nAnswer: 204245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -f + 2. Suppose 15 = z + 3*l, -z = -l + f + 4. What is the units digit of 21 - 0 - (z + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/43 - -133\/86. Suppose -181*z + 458 = 96. What is the nearest to 8 in d, 4, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58820 is divided by 265?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-3) - (-22)\/6. Which is the third smallest value? (a) -0.3 (b) 3\/4 (c) 0.4 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 11:43 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 - 2*s - 3. Let x be (0 - 4\/(-2)) + 1. Let h be -1*(x - 0) + 5. Let q(i) = -1. Let t(u) = h*q(u) - l(u). Give t(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3177*x - 352783 = 1644*x + 251097 - 150706 for x.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 0.1, -0.03, -4, -5 in decreasing order.\nAnswer: 0.1, -0.03, -4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -279.5926 minus 1097.9?\nAnswer: -1377.4926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 51, 53, 55, 57?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11650 is divided by 1940.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536*v + 4131 = -33463 + 7042 for v.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35548288?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -330*1581.387.\nAnswer: -521857.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -5*l**2\/2 + 7*l + 18. Let i be h(4). Let u = -5 - i. Calculate the remainder when 25 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 259 + -244. Solve -5*b - 3*o - 2*o - 25 = 0, 5*b - 5*o = g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/7)\/(y**17*y*y)*y*y**(2\/31)*(y**(-3)*y)\/y)**12 assuming y is positive.\nAnswer: y**(-53400\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -v**8\/33600 + v**7\/6300 + v**4\/2 - 4*v. Let n(y) be the third derivative of p(y). Factor n(w).\nAnswer: -w**2*(w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -4*k - 4*s, -s + 2 = 11*k + 2*k - 8*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 4*d + 2. Let u be (-1)\/6 - 3\/(-20 + 2). Let a be x(u). Is a*(-41)\/(-3)*9\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**4\/78 - 76*l**3\/13 + 229*l**2\/13 + 8660*l. Find i such that a(i) = 0.\nAnswer: -229, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 2*s = 4*x, s - 6*s - 10 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 + 209*x + 3634. Let h be g(-22). Is h greater than or equal to 134\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1900) + sqrt(1900)*2)*5)**2 - ((sqrt(1900) - (5*sqrt(1900)*2 - sqrt(1900)))**2 - (sqrt(1900) + 2*sqrt(1900) + 1)**2).\nAnswer: 60*sqrt(19) + 6735501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94\/2*2\/6*(-1157)\/(355199\/(-1842)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**6\/120 - u**5\/12 - u**4\/6 - 5*u**3\/6 + 2*u**2 - 21*u. Does 7 divide i(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 5:05 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -0*b + 3*b - 13, -23 = -5*b - 2*d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 199256244443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27329 is divided by 79.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -901?\nAnswer: -9\/901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.237061524 rounded to 3 decimal places?\nAnswer: 1.237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + (3 - 4) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72411 + -42643. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 60*t**3 - 946*t**2 + 6*t + 13. What is the tens digit of k(19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -224, -5.\nAnswer: -224, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 11*a**2 - 11. Let i(c) = 21*c**2 - 23. Let s(r) = -3*i(r) + 7*o(r). Find the first derivative of s(m) wrt m.\nAnswer: 28*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -48*b**2 + 1831*b - 54. Let t be j(39). Do t and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3730737731.\nAnswer: 7, 532962533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 2. Let v = 9 + 7. What is the remainder when (-135)\/((-6)\/w) - -1 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.98 and -23378035571.\nAnswer: -23378035571.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + 4. Let m = -17 + o. Suppose -2*r + 4*z = -5*r - 25, 3*r - z + 5 = 0. Sort -0.5, r, m in increasing order.\nAnswer: m, r, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, v: 8, p: 1, t: 1, a: 1}. Give prob of sequence zta.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11967 + 47867\/4. Which is smaller: -85\/61 or j?\nAnswer: -85\/61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*m + 5. Calculate the greatest common factor of 63 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104393751?\nAnswer: 3, 7, 11, 451921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -12644 (base 14) to base 9\nAnswer: -67825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5\/5397 + 64153\/172704. Find the common denominator of q and 35\/128.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkp. What is prob of sequence kkp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**3 + 52*f*z + 1853*z wrt f.\nAnswer: 6*f**2 + 52*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16244 and 2096.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222102 - -20221?\nAnswer: -1201111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (119\/(-4))\/(43\/((-1376)\/(-56))*1\/7)?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 173.163 - 177.1. Let q = -0.063 + l. Let y = -174 + 1564\/9. Which is the smallest value? (a) 0.5 (b) y (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.421 - -20.121. Let w = f + -34.8. What is w rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 4, 2\/7, 1, -3.8 in ascending order.\nAnswer: -3.8, 2\/7, 1\/2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4839 - -4840. What is the biggest value in 3, 2\/495, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 117*n + 62*n**2 - 117*n + (8 + 0*n - 2*n + 0*n)*(4 - 4 - n) in the form o*n + v*n**2 + i and give v.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 5*t + 235 - 245. Which is the smallest value? (a) 2\/3 (b) t (c) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 4)*(-88)\/(-264). Let i(k) be the third derivative of -175*k**4\/24 + k**3\/3 + 3*k**2. Is i(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 5*m + 5 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -274*d*y**2 + 168*y**2 wrt d?\nAnswer: -274*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(24)\/sqrt(4)*3).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/60 + (-17)\/(-20)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 212181543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -4*w - l + 5, -5*l = -121*w + 117*w + 40 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l**2 - 293 + 293 - 3*l to x + c*l**2 + n*l and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3954371?\nAnswer: 3954371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3*q = 33, 1 - 28 = -2*m - 5*q. Let n(v) = 6*v**2 + 224*v - 131. What is the remainder when n(-38) is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*120\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -390 divided by 44\nAnswer: -195\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 15) in base 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50 + -197\/4. Let o = -119\/78 - -1\/39. Which is the nearest to -0.1? (a) j (b) o (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 0.3, -1\/8, 37?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2979 at most -0.45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 3*y - 36 - 89, -4*c = 5*y - 100. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47809?\nAnswer: 47809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6654 - 420 = -18*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/13, 0.2, 3, 2\/7, -7.4 in decreasing order.\nAnswer: 5, 3, 2\/7, 0.2, 2\/13, -7.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 179841 by 487.\nAnswer: 179841\/487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**7\/84 - k**6\/180 + 7*k**3\/6 + 18*k**2. Let g(l) be the first derivative of w(l). Factor g(t).\nAnswer: 2*t**2*(5*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24059 is divided by 350.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/18*(-613)\/2*4. Let r = -339 - w. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2384, 2385, 2386, 2387?\n\"Answer: k + 2383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m. Let n = 142 - 137. Let y(p) = p**2 + 13*p. Calculate n*k(r) + 2*y(r).\nAnswer: 2*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 87d7 (base 16) to base 15\nAnswer: a485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**4 + 208*x**3 + 1868*x**2 + 3096*x + 1440.\nAnswer: -4*(x - 60)*(x + 1)**2*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 167.6 + -168. Let t be 0 + (57\/(-27) - -2). Which is the closest to 2\/7? (a) -3 (b) t (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -123?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 70?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1462?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, 17, -5 in ascending order.\nAnswer: -6, -5, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*g**5 + 22*g**5 + 4*g**5 + (-2 - 1 + 5)*(-2*g**5 + 0*g**5 + g**5) + 0*g**3 - 2*g**5 + 0*g**3 - g**5 - g**5 + 3*g**5.\nAnswer: 41*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o + 16 = -5*o - 8*k, k + 6 = -5*o - 7*k + 5*k for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 9*d**2 - 13*d - 2. Let y be x(-10). Calculate the highest common divisor of 308 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + g - 1. Let i be g - 1 - 20\/(-5). Solve i*n - 3 = -7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -3, -82\/33?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 2:30 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12252*1142.\nAnswer: 13991784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 331 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1552 + -23272\/15. What is x in -p*x**5 + 2\/5*x**3 + 0 + 8\/15*x**2 - 8\/15*x**4 + 2\/15*x = 0?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*j**3 - 2166504*j**2\/7 - 10477406775*j\/7 - 2993367938\/7.\nAnswer: -(4*j + 38687)**2*(7*j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**3 - 31068*c**2 + 186532*c - 155460 = 0.\nAnswer: -7773, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 13*r + 4. Let l be u(7). Let m(b) = 46 - l - 7*b. Let x(a) = -2*a**2. Calculate m(x(d)).\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t = -6. Suppose -4*k = -t*a - 8 - 23, -2*a = 3*k - 2. Suppose 3*b = 2*b + 28. Calculate the highest common factor of b and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*a**2*i + 111*a**2 - 3915*a*i**2 - 8*a - 192072*i**2 + 21*i - 2 wrt a?\nAnswer: 16*a*i + 222*a - 3915*i**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -527\nAnswer: 4\/527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 223?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 5*p = 29, -5*n - 4*p = -45 + 15 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 31753*k - 31754*k, 0 = -88*g + k - 273 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 8 + -15 + 76 + 2 + -195 + 206.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 2. Find the first derivative of 4*k**2 + d*k**2 + 5 - 3*k**2 wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 203, 210, 219, 230, 243, 258, 275?\n\"Answer: u**2 + 4*u + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + (sqrt(320) + 0)*4 + 5).\nAnswer: -192*sqrt(5) - 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*i**2*j*s**2 - 4*i**2*j - 74*i**2*s**2 + i*s**2 + 64*j*s**2 - 8*j wrt i?\nAnswer: -8*j*s**2 - 8*j - 148*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c. Let m(o) = o**2 - 49*o - 154. Let a(v) = m(v) - 6*p(v). Calculate the lowest common multiple of a(41) and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 64933056 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 1 - 2. Suppose 3*a + i*n - 20 = 16, -5*n + 32 = a. Calculate the smallest common multiple of 4 and (-4)\/(-14) + 19\/a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/20*(10\/(-4) - 0). What is the biggest value in w, 1\/5, -1\/11, -1\/12?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12700 and 1609100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560 is divided by 187.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -0.32 (c) -3319 (d) 59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*70\/(-720)*(-102)\/(-561)*22\/168.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3\/2*o**3 - 2664*o - 5280 - 342*o**2 = 0?\nAnswer: -220, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5394.09593 rounded to 0 dps?\nAnswer: -5394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, p: 3, z: 2, l: 1, d: 6, q: 1}. Give prob of picking 1 p, 1 z, and 1 q.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2750.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 6*i**2 + 156 - 3\/2*i**3 + 327\/2*i = 0.\nAnswer: -8, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 12. Let c be (z\/8)\/(3 + (-52)\/16). Which is bigger: -54 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.025 + -0.415. Let c = 0.439993 + k. Round c to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5391 is divided by 5382.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335145 is divided by 259.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011146849 rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhddn. Give prob of sequence ddn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1245 and -20.\nAnswer: -19.8755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 10:06 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2*6*1. Suppose 5*z - b + u = 0, 3*b - 5*b = 4*z - 6. Let n = 14 - z. Calculate the smallest common multiple of n and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 - 3*l**2 - 3*l + 2. Let j = -43 + 25. Let n be (-25)\/(-9) + (-4)\/j. Is w(n) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 7*m - 2*m - 132 = 0, 0 = -2*m. Let r = 92 - k. Calculate the remainder when r is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.2 + -2940.5?\nAnswer: -2934.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*a**3*g**4 + 947*a**3*g**2 - 2*a**3 + 7308*a*g**5 + 81*g**2 wrt g?\nAnswer: 624*a**3*g + 438480*a*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19125328?\nAnswer: 2, 23, 51971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 < 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 2*z - 3*z)*(0*z**3 + 2*z**4 + 0*z**3) - 12*z**5 + 4*z**3 + 30*z**4 - 30*z**4.\nAnswer: -14*z**5 + 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110982990 by -55491495.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3452 divided by 6.\nAnswer: -1726\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (446*s**2 - 529*s**2 + 10*s**3 - 623*s**2)*(s - 3*s + 3*s).\nAnswer: 10*s**4 - 706*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -92*s**2 + 652 - 652 + (-5*s - 9 + 9)*(2*s - 2*s + s).\nAnswer: -97*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 4 - 1\/10*y**4 + 11*y + 3\/5*y**2 + 1\/15*y**3 - 1\/50*y**5. Let c(q) be the first derivative of v(q). Factor c(d).\nAnswer: -2*(d - 1)*(d + 1)*(d + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 29255 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 377517449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s**2 - 25692*s - 13632 with respect to s.\nAnswer: 4*s - 25692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -89 - 4*d**2 + 92 - 3*d - d**3 + 0*d**3 + d**2. Let c(u) = 2*u**3 + 8*u**2 + 8*u - 8. Give -3*c(m) - 8*z(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 4. Let o be ((-84)\/8)\/((-2)\/y). Let p be 1 + (-60)\/o - -1. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*y**3 - y**2 + 18*y**3 + 0*y**3 + 3*y**3 to b*y + q + w*y**2 + t*y**3 and give t.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*z + 8665 = 10510 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 6*l**2 - 5*l - 7. Let j be w(7). Suppose -8*d + 27 - 11 = 0. Solve j*z - 25 = d*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 39. Suppose -4*s - 5*w = -w - 24, n = 4*s + w. Let o be (3 - 3)\/((-1)\/1). Solve -3*q = -o*q + 4*x, s*q + 28 = 4*x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -11 + 1. Let u be (p + 3)*(-80)\/(-2). Suppose 5*k = 5*z + u, 0 = -0*k - 4*k - 4*z. Solve -k*t - 13 = -5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 1 + 0*g + g - 2*g. Let v(z) = -8*z + 391. Let t be v(49). Determine s(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, u: 1, z: 7, n: 2, x: 4}. Give prob of picking 3 z and 1 n.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**5\/60 - d**4\/4 + 3*d**3\/2 + 16*d**2. Determine q, given that k(q) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**6\/120 - 2*g**5\/3 - g**4\/24 + 1707*g**3\/2 + 2*g**2 + 51*g - 7. What is the derivative of q(z) wrt z?\nAnswer: -3*z**2 - 80*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 g when three letters picked without replacement from {r: 7, g: 6}.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/101407933?\nAnswer: 3\/101407933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**6\/24 + b**3\/6 - b**2. Let o be y(-1). Suppose -t = 3 - 5. Sort 0, o, t.\nAnswer: o, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0 = -3. Let b(h) = 2*h**2 + 4*h - 1. Let v be b(o). Let c be 28 + 4 + -7 + 55\/(-11). Solve c = -0*i + v*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -333*b**5\/5 - 1430*b - 2475. Differentiate i(d) with respect to d.\nAnswer: -1332*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*u + 148*u - 317*u = -44. What is o in -12\/7*o - 38\/7*o**2 - 16\/7*o**3 + 0 + 10\/7*o**u = 0?\nAnswer: -1, -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 5:05 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 126768488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 2. Solve 4*h = w - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33396 - 6893 = -12*v + 3595. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = 3*l - 4*l - z, -4*l + z + 278 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -36. Suppose d - 9 = -v. Suppose d*k - 10 = 3*k. Calculate the least common multiple of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 33, 15854\/7, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*n**2 - 52*n**2 + 21 + 121*n**2 - 3 - 18.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73722 by -6.\nAnswer: -12287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121 - 83. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105583574.\nAnswer: 2, 52791787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 + 14*w + 3. Let c(i) = -i**2 - 13*i - 3. Let k(p) = -3*c(p) - 2*d(p). What is the units digit of k(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -460, -510, -740, -1240, -2100, -3410, -5260, -7740?\n\"Answer: -15*y**3 + 55*y - 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*t - 4*t + 26, 3*y + 3*t - 60 = 0. Let o be (-4)\/y + (-434)\/(-9). Suppose 0 = -x - 2*x + o. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -67 in 10, -2\/9, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8327989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/31)\/u)\/u*u**(3\/10))**(-6\/5) assuming u is positive.\nAnswer: u**(1641\/775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 7)*(-7*u + 69*u + u).\nAnswer: -504*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2\/13*j**2 - 10\/13*j - 8\/13 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -1 + 2)\/(2\/4). What is the greatest common divisor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g - 9. Let p = 9 - 13. Let o be f(p). Suppose 2*u - 5 = -t, -3*u + 0*t = -o*t + 15. Put u, -2, 4 in decreasing order.\nAnswer: 4, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 498752303 to the nearest integer?\nAnswer: 22333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 953 >= -296\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48144863 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2182 + 729 - 3*n**2 + 729 + 725. What is x(3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (5*33\/(-2365))\/(-1)*131\/54 and -31\/645.\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -3, 0, -1\/2, 2, -1.07?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4534 (base 14) to base 13\nAnswer: -5603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 + 55.2. What is the closest to -2 in 2\/7, 2\/15, i?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (8 - -4) - -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 4*g**2 + 0*g**2 + (-g - 2*g + 2*g)*(-2*g - 4*g + 3*g))*(0 + g**2 + 0).\nAnswer: 5*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31\/(-806))\/((-56)\/52).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57*p**4 + 3*p**2 - 1538 wrt p.\nAnswer: 228*p**3 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 16*l**2 + 408*l - 616. Determine h(-27).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2154846181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -1\/131, 4?\nAnswer: -1\/131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and 4.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91 - 53. Calculate the remainder when b is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8700 or -121803\/14?\nAnswer: -8700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-309)\/(-108150))\/((-3)\/(-15))).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-990)\/2310)\/(66\/(-28))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -s**5\/20 + 5*s**4\/6 - 3*s**3\/2 - s**2 - 8*s - 14. Let k(t) be the first derivative of a(t). List the prime factors of k(5).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 + 67. Suppose 0 = -a - 3*a + 5*n - d, -5*a = 5*n - 25. Solve a = 4*l - 2*l - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.7 + -9. Let b = -15 - -10. Sort b, q, 0.4, 3.\nAnswer: b, q, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (316*v - 7 - 310*v + 1)*(-4*v**4 + 4*v**4 + v**4).\nAnswer: 6*v**5 - 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147)*1*-3 + 0 + -1*sqrt(147))*5)**2.\nAnswer: 58800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -84 - -164. Let w = 80.04 - r. Let v = 0.3 + 4.7. Put w, v, -2 in ascending order.\nAnswer: -2, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -49, 0.4, -20, -2 in descending order.\nAnswer: 0.4, -0.3, -2, -20, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 11*c - 3. Is w(-17) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -418*m - 13791. What is r(-33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/48 + 22\/132\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1476 divided by -246.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x. Let a(j) = 0*j + 6*j - 4*j. Calculate b(a(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1664 and 2396992?\nAnswer: 4793984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13344287, 13344289, 13344291, 13344293, 13344295?\n\"Answer: 2*m + 13344285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + -2 - -7 - (-417 - -421)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 4:40 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 4*o**2 + 7*o - 26. Let p be c(4). Sort -3, p, 5.\nAnswer: -3, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -5*q**4\/6 - 8374925*q**3\/6 - 584501020780*q**2 - 15781221877760*q\/3 - 14027723002880\/3 = 0.\nAnswer: -837488, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 9*j + 109. Suppose 3*y - 4*i + 29 = 0, 21 = -2*y + 2*i - i. What is the lowest common multiple of 55 and k(y)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 208.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d. Let t(v) = v + 2. Let n be t(-4). Let s be (5 - 0 - 1) + n. Let a(z) = -s*z + z - z. Determine a(b(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (80\/(-12))\/((-2)\/105). Suppose 2*t - 3*l - p = -l, 0 = -4*t - 5*l + 655. Let r = t + -96. What are the prime factors of r?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, -58\/2213, 1\/3, -15, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/v**(-8))\/v*v\/v**13)**(18\/13))**(1\/13) assuming v is positive.\nAnswer: v**(-54\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b**4 - 51*b**3\/5 + 6*b**2\/5 = 0. What is b?\nAnswer: -2\/3, 0, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 102467073.2.\nAnswer: 102467076.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3118 is divided by 115?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c + 59. Let w(p) = -2*p - 27. Let h(d) = 6*u(d) + 13*w(d). Calculate h(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3144737.\nAnswer: 3144737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 5*z = -21, k - 254*z = -256*z - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**9)\/(z**(-4\/5)*z) assuming z is positive.\nAnswer: z**(-41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 6*o = -5*r + 34, 4*r - 4 = 5*o. Let j(h) = 8*h - 12. What is j(r)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 0 + 0)*(0*c + 2*c**3 + 0*c + (-5 + 2*c + 5)*(-c**2 + 0*c**2 - c**2) + c**3 + 2*c**2 - 2*c**2 + 49432 - 49432 + 50*c**3).\nAnswer: -147*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3564443090 to the power of 1\/3, to the nearest integer?\nAnswer: 1528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 165.7 plus -0.1546?\nAnswer: 165.5454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 146609, 146561, 146475, 146345, 146165, 145929?\n\"Answer: -c**3 - 13*c**2 - 2*c + 146625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1206657 and 6759?\nAnswer: 906199407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*((q**(-3\/16)\/q)\/q)\/q))\/(q\/q**(13\/3)*q) assuming q is positive.\nAnswer: q**(265\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -142, 0.1, -407, -2\/11, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 81*p - 83*p. Let x be (3 - 16 - 3) + p\/(-4). Let o = x - -15. Which is the closest to -2? (a) -14 (b) 0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 11*v + 12. Let b be w(-4). Let a = 116 + b. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 - y + 4. Let g = -7 - -9. Suppose r = 4*o - 8, g*r = r. List the prime factors of x(o).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -45*t + 93*t + 46*t**2 - 6*t**2 - 48*t. Let q(a) = 17*a. Give q(j(r)).\nAnswer: 680*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*c - 2*c = 0, -w + 5*c = 0. Let h(g) = -27*g**3 + 1. Let z be h(-1). Suppose w = 2*u - 4*u + z. What is the smallest common multiple of u and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 9*k**2 - 4*k + 16. Let d be g(-8). Let h = 4\/277 + -3633\/2216. Calculate the common denominator of h and (99\/d)\/((-11)\/44).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 908857*q**4 + 932345?\nAnswer: 3635428*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59.9117 + -59.8. Round j to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3644)\/19131*(21\/2)\/3*-1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/19, -3, -3644.\nAnswer: -3644, -3, 10\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*(-10)\/660*-24.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/53 and 54\/11?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14520 (base 7) to base 15.\nAnswer: 12dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3750 and 875?\nAnswer: 26250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -15*q - 11. Suppose 27*p = 25*p + 44. Let v(h) = -3*h - 2. What is p*v(k) - 4*r(k)?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -133 divided by -2\nAnswer: 133\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**39*s**5\/s*s**(6\/11)*s**(-2\/17)*s)**(1\/4) assuming s is positive.\nAnswer: s**(2077\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10.8 - -2.2551\nAnswer: -8.5449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2320471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/5, 80, -1\/5, -6 in increasing order.\nAnswer: -6, -5, -1\/5, 1\/5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q = 166 - 136 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 - t + 1. Let n(z) = -2*z**3 + 18*z**2 + z + 16. Let r be n(8). Let p = -70 + r. What is the remainder when p is divided by m(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 321*d**2 + 3204*d - 95. Determine a(-10).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-17 - (-2660)\/154).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/4 - 12\/16. Solve 4*v - 4*j + 8 = w, 3*v + 2*j - 5 = -1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 240, 223, 204, 189, 184, 195?\n\"Answer: x**3 - 7*x**2 - 3*x + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/(-21) + (-244)\/(-6). Let t = i - 28. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 335.\nAnswer: -100.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 11:28 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**2 - 1380*q - 1384 = 0?\nAnswer: -1, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/8 of a micrometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 4:09 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 - -61. Let g = 107 - u. Does 45 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.886201 grams in micrograms?\nAnswer: 886201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*z**2 + 7*z + 0*z - 5*z - 75*z**2 + 80*z**5 - z wrt z.\nAnswer: 4800*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 477692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 432974?\nAnswer: -432978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/((sqrt(2) - -1*sqrt(2))*-1).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*i + 5*o + 1, -3*i - o + 5 = 0. Let m(b) = b - i - 5 - 1 - 3. Let t(n) = 1. What is -4*m(r) - 44*t(r)?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -1007522?\nAnswer: 1007515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*y - 57 = 0. Let w = -35 + y. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26987\/1338 - 2\/669. What is the common denominator of 96\/(-20) - (-1 + 1) and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z + 20 = -25*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 0. Let r = 703.8 - 460. Let h = -244 + r. Which is the biggest value? (a) h (b) n (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*f + 9 = 0. What is the remainder when f is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603411 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 812473.3 nanoseconds in seconds?\nAnswer: 0.0008124733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, p: 1, k: 11, o: 4, l: 1}. What is prob of picking 1 v, 1 l, and 1 p?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 390 + 5e18?\nAnswer: 62a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14ed (base 16) in base 6?\nAnswer: -40445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 5*d**2 - 32150*d + 51681125 = 0?\nAnswer: 3215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25048194037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*i + 81, 0*d + 5*i = -d + 33. Suppose 5*c - 108 = -5*k - d, -5*c + 62 = k. What is the smallest common multiple of 9 and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 2182.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27295 or 27294?\nAnswer: 27294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/7 + 214*i\/7 + 2088\/7.\nAnswer: -2*(i - 116)*(i + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/3))**(-1)\/(n\/(n**8\/n)*n**(1\/2)))**25 assuming n is positive.\nAnswer: n**(725\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = -12*t - 7*g + 649, -5*g + 15 = 0. Which is greater: t or -317?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 2*f + 5*f**2 - 2*f**2. Suppose -15 = -4*t - 3*h, 6 = 2*t + 3*h - 9. Let q = -2 + t. Give z(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-1) + 2 - 0. Let n = -528 - -331. Let q = n + 196. Which is the nearest to -1? (a) 3 (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 != -57\/103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54112776 divided by 27056388.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-6))\/((-6)\/18). Let d = -674 + 27636\/41. Let l = -580\/123 + d. Which is bigger: l or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 145 or -1\/33?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - (sqrt(275) - (sqrt(275) - (3 + sqrt(275))))**2) + sqrt(275))*-6.\nAnswer: 120*sqrt(11) + 1704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-1)\/((-1)\/642). Let l = -436 + q. Suppose 0*w - 23 = -w. Calculate the greatest common divisor of l and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8023 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2457.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 11. Let h be ((-10)\/4)\/(i\/(-2)). Solve -4*p = p - h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 + 1. Let i = -8 + 5. Let y = 6 + i. Does 10 divide b(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 5*c - 20, 4*s - 2*c = 5 + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 72382.49 milligrams in grams?\nAnswer: 72.38249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9 + -1)\/((-14)\/(-42)). Suppose 4*s = 50 - 2. Suppose 3*o + 5*h = 2*h + f, 0 = -3*h - s. Calculate the remainder when 83 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1458724*k**5 + 2*k**3*q**3 - 41*k*q**3 - 251*k*q**2 + 2*k*q - 27*q**3 wrt k.\nAnswer: -29174480*k**3 + 12*k*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -363172 (base 8) in base 14?\nAnswer: -33558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1990.4953139 - -1990.5. What is g rounded to four dps?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 2. Let n(m) = 11*m + 9. Let g(c) = -n(c) + 6*v(c). Let u(y) = -5*y. What is g(u(a))?\nAnswer: 25*a + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -123, -134, -149, -168?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -283, -947, -2241, -4375, -7559, -12003?\nAnswer: -17917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) -225 (c) -9 (d) 1\/8 (e) 1\/4 (f) 3 (g) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -146.\nAnswer: -5\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*-1 + 9570\/1305?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 26*b**2. Let z(m) = -m - 562. What is i(z(d))?\nAnswer: 26*d**2 + 29224*d + 8211944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10224 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 2, -27, -5 in descending order.\nAnswer: 2, 1, -4, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 503328*f - 31667384448.\nAnswer: -2*(f - 125832)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5753, 44798, 150779, 357164, 697421, 1205018?\nAnswer: 1913423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313*s = 319*s - 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 42\/8*(-2088)\/609\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*u = 0. Let d be u*(28\/16)\/7. Suppose d*m - 4*m + 168 = 0. What is the remainder when m is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-6)*6\/2. Suppose 0 = 5*n - 4*n - 1. Let h be 2\/6*(n + -1). Solve 0 = j*t - 8 - h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.1, 1\/2, 1965, 3, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 123*(-26)\/6 - (-2)\/(-1). Let z = 552 + o. Solve -18 = -4*t + w, -4 = t + 4*w - z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) 6 (c) -1519\/148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3582, 14328, 32242, 57324?\n\"Answer: 3584*k**2 - 6*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(648) + 5 + sqrt(648).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j - 2*p + 370 = 22*j, -5*p = 3*j - 551. Calculate the highest common divisor of j and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1684.1518 and -0.1?\nAnswer: 168.41518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2693530 and 68110?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 6*o**2 - 5*o + 4. Let a be q(-5). Let z = -58 + 64. What is the greatest common divisor of z and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15999333 divided by 147.\nAnswer: 108839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 4*f - 35 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 72783, 4, -6, 9 in ascending order.\nAnswer: -6, 1, 4, 9, 72783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**6\/6 - 3*f**5\/4 - 25*f**4\/4 - 85*f**3\/6 - 15*f**2 - 35*f. Factor c(v).\nAnswer: 5*(v - 6)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/22 + 416\/(-22). Let x(t) = 4*t**2 + 72*t + 6. Let g be x(c). What is the highest common factor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/4 in 14\/15, -2, 3\/8?\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 0 + 0\/2. Suppose 2*t = u*a + 15 + 5, 5*a = -25. Find the third derivative of 2*h**2 + t*h**2 + 0*h**3 - 3*h**3 wrt h.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 9:59 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 + 4*d - 4. Let b = 8 + -11. Let m be -2 - -1 - (-8)\/4. Let q(s) = m - 3*s**2 + 5*s + 1 - 7. Give b*q(w) + 4*t(w).\nAnswer: w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 3:36 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 7. Suppose -2*n = r*n - 95. Find the first derivative of -n*q - 3 + 19*q - q**3 wrt q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 10. Let f be w(6). Let b(d) = d + 6. Calculate the lowest common multiple of b(f) and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*a - 5 = -30*a. Solve 14*s - 15*s + a = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 15*r - 5. Let j(f) = -2*f**2 + 31*f + 11. Give 4*j(s) + 9*t(s).\nAnswer: s**2 - 11*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 28813 (b) 0.5 (c) 2\/547 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5236 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10973?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 643b?\nAnswer: 643b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -362, -2034, -6482, -15092, -29250, -50342, -79754?\nAnswer: -118872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 - (60291000\/(-7614))\/110.\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-35))\/((-58)\/174)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g**2 + 0*g**2 - 4*g**2)*(-6648*g - 6660*g - 8194*g) in the form m*g**3 + z + t*g + n*g**2 and give m.\nAnswer: 21502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2337 is divided by 75.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirteen eighths of a minute?\nAnswer: 97500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -83226, -88380, -93534, -98688, -103842?\n\"Answer: -5154*g - 78072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q - 9. Calculate w(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-68 - -24)*(-2 - 0). Calculate the highest common factor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**4\/4 + l**3 - l**2\/2 + l - 4. Let u = -16 + 28. Calculate the remainder when u is divided by v(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14a1 (base 14) to base 16.\nAnswer: e55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 3*p + 11, -3*p - 10 = -7*p + 6*p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5399954953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3717 = -540*l + 4214 + 18403 for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1764, 3530, 5296, 7062?\nAnswer: 8828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1222 - 1222.043572. What is c rounded to three dps?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4956229 + 2*o + 4956229 + 354*o**2)*(0 + 0 + 2*o)*(9 + 0 - 2).\nAnswer: 4956*o**3 + 28*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9309421 and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 54 in descending order.\nAnswer: 54, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 d when three letters picked without replacement from ddgddzgzgzddggzgdgdz?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2\/11 (b) -0.2 (c) 140\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 33*c**2 - 476*c - 5. Calculate q(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 - 55.0000033. Round o to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 14*x = -770. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -4. Let p = -1 + -5. Let j be -1 - -3 - (-2)\/p. Put u, -0.3, j in descending order.\nAnswer: j, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6909 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*o - 6, -4*d + 111 = -3*o + 99. Solve 4*n - d*q - 32 = 0, -24 - 6 = -2*n + 5*q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 37 = -6*x + 27, -20 = 5*x + 5*g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.188 + -3.\nAnswer: -1.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-418*f + 5*f**2 + 193*f + 1 + 183*f)*(-3*f**3 - 7*f + 7*f).\nAnswer: -15*f**5 + 126*f**4 - 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 577.5 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 13*v + 10 = 0. Let d(y) = -y + 3. Let r be d(v). Sort -1, r, 5 in increasing order.\nAnswer: r, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**3 + 21*m**2 + 3*m - 18. Does 24 divide c(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42289?\nAnswer: 13, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7c01d2 (base 15) in base 14?\nAnswer: b02a27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.7 - -0.7. Let n = g - -1.3. Let j(c) = -c**3 + 86*c**2 + 1870*c - 38. Let d be j(-18). What is the closest to 1 in 2\/65, n, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 67612380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49577\/9 + 5509. Factor 8\/9 + c*f**3 - 8\/9*f**2 - 4\/9*f.\nAnswer: 4*(f - 2)*(f - 1)*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14f (base 16) to base 3\nAnswer: -110102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -171. Let c = 140.0083 + g. What is c rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-1 - -1) + (-35 - -21 - -14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-14)*x\/(x\/x**(-2\/31))*(x*x**(2\/83))\/(x*x\/(x**24*x)))**(7\/5) assuming x is positive.\nAnswer: x**(179382\/12865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/3))**(-13\/4))**(-1\/89)*((l**(-1\/3))**(-45))**(7\/5) assuming l is positive.\nAnswer: l**(5620\/267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2428 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10520702.\nAnswer: 2, 1949, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 11:45 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1129202*i**2 - 1008669*i?\nAnswer: -2258404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 475914.9l?\nAnswer: 475914900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9101 - 9378. Is j bigger than -284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 2*t = 11, -t + 4*t = -2*j + 1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2005578 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (946\/(-77) + 13)*4\/10\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14928432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**5 + 126*v**4 + 2208*v**3 - 28744*v**2 - 137280*v - 144000 = 0.\nAnswer: -20, -2, 12, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2587 - 1138. What are the prime factors of u?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*v + 102*v - 3 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 99363.75 micrometers?\nAnswer: 0.09936375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1449 is divided by 38?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3119158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -143*j + 23. Let t be r(-13). Suppose 435 = -4*q - 3325. What are the prime factors of (2\/5)\/(-2 - t\/q)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - n + 1. Let j(z) = -6*z**2 + 3*z - 8. Let c(a) = j(a) - 5*x(a). Let b be c(6). Are 1\/13 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 132\/5? (a) 0.2 (b) -2\/13 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 425779196 to the power of 1\/3, to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**3 - 2663 - 4*h**3 + 0*h**3 + 2663.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.8 - 0.044433.\nAnswer: -4.844433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 19 + 4 = 0. Suppose 68 = g*a - 32. Calculate the greatest common factor of 220 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -697 + 1376. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/58, -2\/7, -3.\nAnswer: -3, -2\/7, 3\/58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2502377239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 8*g - 14. What is k(-10)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 3*q - 20, -25851*u + 25848*u = -3*q + 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144, -146, -148, -150, -152?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*r = -82*r + 57. Is r at least 10\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or 6416\/147?\nAnswer: 6416\/147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11355247?\nAnswer: 47, 241601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 8. Let f be c(7). Let t(n) = -n + 15. Let l be t(7). Suppose -2*i - l = -24. What is the highest common divisor of i and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -92 + -5?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*g = 112, 3*k + 51 = -3*g - 0*g. Let y be (2 + 147\/(-74))\/(10\/k). Is 1 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*j + 6*j - 94, -5*w = 5*j - 225. Suppose -130 + 10 = 4*d. Let g = d + w. What is the remainder when 54 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.03 from -1.\nAnswer: -3.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*r**3 - 66*r**3 + 13*r**3.\nAnswer: -145*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i**3 - 4*i**2 + 6. Let j(z) = -z**3 - z**2 + 4*z - 3. Let c(d) = d**3 - d**2 + d + 1. Let n(q) = 4*c(q) - j(q). What is -4*n(r) + 3*s(r)?\nAnswer: -2*r**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 10:48 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1372, -2755, -4144, -5539, -6940, -8347?\nAnswer: -9760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 - 3)*(4*p**2 - p**2 - 2*p**2) - p**2 + 3*p**2 - 3*p**2 in the form x*p**2 + w*p + g and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -9 + (0 + 3 - -1) + 17. Suppose 11 = u - 21. Suppose -j*w = -4*w - u. Calculate the least common multiple of w and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 v, and 1 i when four letters picked without replacement from vigiggiiiivgggvggig.\nAnswer: 63\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 162*g**2*l**2*n**2 - 2*g**2*l*n + 2*g**2*l + 2*g**2 - 1205*g*l**2*n**2 - 208*g*l - 2*g*n**2 - 234*l*n**2 wrt l?\nAnswer: 324*g**2*n**2 - 2410*g*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/6*52\/2. Suppose 2*m + m = 3*w - t, 0 = 3*m + w + 39. Let o = m - -22. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 4:28 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 50*t**2 - 93*t - 87. Calculate c(48).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*l**3 + 18*l**3 - 43*l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 26*s**2 + 20*s - 20*s.\nAnswer: 26*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-3)*(-8)\/((-64)\/744). Solve 7*h = -131 + s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -7, -4150, 5 in decreasing order.\nAnswer: 5, 4, -3, -7, -4150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*b**3 + 185*b**2 - 245*b - 410.\nAnswer: 5*(b - 2)*(b + 1)*(4*b + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 1. Let r(i) = 2*i + 9. Let q(c) = -4*k(c) + r(c). Suppose -5*x + 5*h - 21 = -66, -3 = -3*x + h. Let n(p) = -2*p + 6. Determine x*n(g) + 4*q(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -97679 - -97681 - (0 + 24 - (1 + 0 + 0)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 6*r)*(-360628 - 1771*r + 360628) in the form y*r + x + j*r**2 and give j.\nAnswer: 10626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1800653 and -2.\nAnswer: -0.3601306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*i - 4. Let n be (i + -3)*(-6)\/15. Suppose -b + 10 = -3*w, -2*b + 16 = -0*b - n*w. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 5. Suppose 2*c - 6*n = -2*n + 60, s*c + 2*n - 66 = 0. Suppose -7*i + 32 = -220. What is the highest common factor of c and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.8 - 15. Let g be (-8 - 9\/(-2)) + 10\/2. Which is the nearest to -1\/3? (a) l (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39193 - -39189) + (-49 + 4 + -2 - (1 - 2))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**4\/12 + h**3\/2 + 364*h**2 + 18*h. Let r be p(0). Let m = 645 + r. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256537302 to the power of 1\/2, to the nearest integer?\nAnswer: 35448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -20 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d + 6. Let z be p(7). Suppose -5*t = -125 - z. Find j, given that 33*j**2 + j - 10*j + 12*j**5 + 3*j - t*j**3 - 3*j**4 = 0.\nAnswer: -2, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -38797*s - 3336548. Calculate h(-86).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1416 divided by 12?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16357980?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g**2 + 3*g**2 + 0*g**2)*(2*g**3 + 6*g**3 + 4*g**3)*(1 - 2 + 3)*(-3 + 0 + 5).\nAnswer: 432*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j\/(j*j*j**(-6\/13)))\/j)\/j**(3\/7))**(-42))**(16\/3) assuming j is positive.\nAnswer: j**(2816\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7841 is divided by 160.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 - -59. Let s(n) = -n + 7. What is the least common multiple of s(y) and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 3. Let g = 0 + z. Suppose 0 = 529*v - 538*v + 18. What is the second biggest value in v, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 5*w**2 + 2*w - 10. Let p be x(5). Let u(f) = -2*f + p*f + 0*f. Let k(l) be the third derivative of 3*l**4\/8 - 3*l**2. Determine k(u(r)).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -0.1, -0.172, 0.2, -2.\nAnswer: -2, -1\/2, -0.172, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -11*s**4\/24 + s**2. Let h(p) be the first derivative of -5*p**2\/2 - 4084. Calculate -5*h(i) + 2*t(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 476.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 445561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**3 - 2*h**2 + 3*h - 2. Let z = 10 + -13. What is the units digit of v(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 + 39*b - 7. Let n be m(-13). Let g(t) = 10*t**2 - 7*t**2 - 7 + 0 + 8*t. What is the units digit of g(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - y**2 + y + 3. Let d be p(0). Let q = -1 + d. Suppose -12 = -q*b + 68. Calculate the highest common divisor of 16 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q - 10. Determine k(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21042451?\nAnswer: 613, 34327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -s*x**2 - 14*s*x + 10*s + 6*x**2 + x + 482 wrt x.\nAnswer: -2*s*x - 14*s + 12*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 353283*o**4 + 26201*o.\nAnswer: 4239396*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-45)*3\/2\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 + 28. Suppose -5*i + 0 = 2*q - 9, -5*q = -3*i - 7. What is the least common multiple of (-3)\/(-12) + n\/4 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + -60)\/(3 - 8 - -4). Suppose -59*a = -p*a + 285. Is 28 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3716003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 24*d**2 - 933*d - 12518. What is s(-13)?\nAnswer: 3667","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 5 + 1. Let c(g) = 968*g - 1006*g - 1 + y. Let m(q) = 3*q. Give m(c(l)).\nAnswer: -114*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 144?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2708.95 - 2709. Which is the biggest value? (a) 3 (b) 4 (c) w (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -5*p**2 - 170*p - 1445 = 0.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 991412 is divided by 11528.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/89 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 21109.41.\nAnswer: 126656.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29476002 by 2.\nAnswer: -14738001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 513\/68 - 5016\/697. Find the common denominator of v and 83\/22.\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o + 10*o + 14560 = 0. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 6 - 4, w - 4*o = 29. What is the remainder when 1 + (-7)\/((-14)\/(-4)) + w is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y. Let v(i) = 19879*i - 1 - 19874*i - 1 + 4*i**2. Calculate 4*l(r) - v(r).\nAnswer: -4*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 143*q**2 - 656*q - 137149. Give i(-145).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 990 and 1107690.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 - 62. Calculate the remainder when 51 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*a + 4)*(-6 - 4 + 8) + 2*a + 3*a - 3*a - 2 - 2*a + 2.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -60. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 427767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 828410, 828558, 828694, 828812, 828906, 828970, 828998?\nAnswer: 828984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6647605 (base 8) to base 13.\nAnswer: -4a8892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 221815 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbefbqfehefhvhh. Give prob of sequence ehbv.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 66*t - 295*t**2 + 4 - 429*t + 298*t**2 - 5 in the form p*t + j*t**2 + v and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25440*m - 7410 = 51040*m - 25505*m for m.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4346521?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 19\/4 of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15561590*n**3 + 16*n**2 - 132890*n.\nAnswer: -93369540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, 7, -3, -69?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 25 = -2*r + 21, -3*m + 2*r = -64. 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: Suppose -d + 0*d = 2. What is the remainder when 50 is divided by 26*1*(d + 3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2017*d - 56476. Calculate u(28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 581246530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21374 is divided by 156.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 612 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1752 plus 2.4?\nAnswer: 1754.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = 7*d - 19 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z - 5*z)*(-6*z + 7*z + 12*z)*(z + 138 - 138).\nAnswer: -52*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 4 = -w, -3*i + 0*w + 2*w - 12 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 176*q**2 - 2*q - 1. Determine c(-1).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175963 is divided by 56.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**2\/3 + 8*q\/3 + 8\/3 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 144.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*k + 10. Suppose -k*j + 11*j - 540 = 0. Suppose -3*q = -4*d - j, -q + 27 = 3*d - 9. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/424 and -20\/1240547?\nAnswer: 525991928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7061304?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-800)\/90*(-1446)\/1205\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307693271.\nAnswer: 307693271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 + 27 = -3*j - d, 0 = -5*j - 5*d - 345. Let p(w) = -5*w**2 - 8*w - 4. Let v be p(-6). Let t = j - v. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 10:53 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + (-2 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4 + 10280*i**3 - 8813376*i**2 + 2526473728*i - 5017776128.\nAnswer: -4*(i - 856)**3*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 h when four letters picked without replacement from hhguhrt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1425?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8 - 16\/(-4) - -9. Let g = 1 + i. What is the smallest common multiple of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -2) + 7 + (0 - (18 - 34))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -98 - -4?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -11, -14, -17, -20?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1792, -14005, -46968, -111055, -216640, -374097?\n\"Answer: -1729*n**3 - n**2 - 107*n + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 38366756379 - 38366756379.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 48.4 and -0.3?\nAnswer: -14.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 195 + 821. Let b be 8\/(-36) - k\/18. What is the highest common factor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (-5)\/((-25)\/12). Let a = -1825 - -1825. Factor -2\/5*l**3 + c*l + a + 0*l**2.\nAnswer: -2*l*(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.04 (c) -0.1 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 340 + 0. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 5784 - 5784. Let c(v) = -36*v + 1. What is c(j(l))?\nAnswer: -36*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 257408 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*j + 5*z + 205 = 0, -3*z - 86 - 113 = 5*j. Let v(w) = 3*w**2 + 4*w - 7. Let m be v(-6). Let q = j + m. List the prime factors of q.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 416037, 1666668, 3751053, 6669192, 10421085, 15006732?\n\"Answer: 416877*b**2 - 840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5 - 1 - 5*t - 4*t**2 + 3 - t**3. Let k be s(-3). Suppose 0 = k*h - 10 - 5. Let q(i) = i + 2. What is q(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -9*o + 28. Let c(u) = -22*u + 70. Let d(t) = -12*b(t) + 5*c(t). What is the units digit of d(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/3)\/((12\/20)\/3). Suppose -3*h + 2 + 4 = 0. Suppose d = 5*g, 4 - 60 = -m + h*g. Is 21 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/25 of a second?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-50)\/(-12)*32\/(-40)*4\/(-30). Let m = 0.5 - 1. What is the nearest to 5.4 in l, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**3 + 2*q**2 + 2*q - 2. Let z be d(2). Let h(n) = 16*n**2 + 27*n**3 - 3*n - 34 - 12*n**3 - 14*n**3 + 8*n. What is the hundreds digit of h(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/(-36)*(-196)\/4459?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18665.\nAnswer: 5, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-15)*j)**11)**(35\/2) assuming j is positive.\nAnswer: j**(-2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tua when three letters picked without replacement from {y: 5, t: 3, a: 2, u: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 689 a factor of 29885375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -5 - 2*6\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a3 - 0?\nAnswer: a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (22 - (13 - (6 - -2)))) + 38.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 104611, 211571, 318517, 425443, 532343, 639211, 746041?\n\"Answer: -t**3 - t**2 + 106970*t - 2357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 196.25 - 196.25. Let s(g) = -g - 7. Let k be s(-5). Let z be 4\/(-18)*3\/k. Put z, n, -2\/5 in descending order.\nAnswer: z, n, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 3*q + 2*q)*(60*q - 9*q + 12*q).\nAnswer: -63*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 377280 and 3175440?\nAnswer: 38105280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*g - 4938 = 1476 + 690. What is the remainder when 159 is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 9*o**2 + 7*o - 6. Let q be p(-8). What is the third derivative of 7*t**2 - 13*t**q - 2*t**5 + 14*t**5 - t**5 wrt t?\nAnswer: 660*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(78))\/sqrt(6))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65464 and 167.\nAnswer: 65464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.04849km in millimeters?\nAnswer: 8048490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35149\/9 + 3913. Let g = -30938\/13 + 2381. Find the common denominator of s and g.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (4 - 4 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -16*b + 4*b + 5*b. Let q(s) = 2 - s - 2. Calculate p(q(f)).\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n - 6*n - 1398 + 164*n**2 + 1398 as h + b*n + f*n**2 and give f.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/9, -1582, 0.5, -4, 0.2 in increasing order.\nAnswer: -1582, -4, 0.2, 2\/9, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-56 - 0) + 10 + (25 - (46 - 21))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 454, 1456, 2464, 3478, 4498, 5524?\nAnswer: 6556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 - i**2 - 2*i + 26. Calculate v(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 18*p**2 - 16*p - 36. Let r be k(19). Find the common denominator of 31\/12 and 143\/(-6) - (-14)\/r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4136*z = -2137*z + 5016*z - 408*z - 66070 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 - 226 = -19*v - 33 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + a = -3, -45 + 21 = -4*q + 4*a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -408 (base 11) to base 15\nAnswer: -22c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 6:21 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**4 - 4 - 3*k**2 - 6*k**2 + 2 + 7*k**2 - 2*k to q*k**3 + r*k**4 + o*k + w*k**2 + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 6:21 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10824 + -248993\/23. Let u = 2607\/7 - 372. What is the common denominator of f and u?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37480450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 79558768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/6 + (0 - 4). Let s be (-8 - 1)*((-12)\/v)\/(-1). Let o = s - 22. Solve -3*f = -o*f + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 6*(sqrt(1700)*-4 + sqrt(1700)) + 3)**2 + 4)*-5.\nAnswer: -2754265 + 12600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 0, 12047, 5.\nAnswer: -3, 0, 4, 5, 12047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.2 - 1.7. Let u = 0.12 - -0.88. What is the closest to u in 0.1, -4\/3, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 120*v**2 - 50*v - 2.\nAnswer: -120*v**2 - 50*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**4 + 615*g**3 + 24864*g**2 - 715008*g = 0.\nAnswer: -112, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**4 + 11*j**4 + 5*j**4 + (4*j**3 + 2*j**3 - 3*j**3)*(2*j - j + 0*j) + 2*j**4 - 1 + 1 as i*j**2 + k*j**3 + c*j + t + q*j**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32818 and 0.5?\nAnswer: 16409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**3 + 11*s**2 + s - 11. Let z(q) = 10*q**3 - 33*q**2 - 3*q + 33. Let j(a) = -7*u(a) - 2*z(a). Solve j(v) = 0 for v.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jdt when three letters picked without replacement from {t: 3, j: 1, d: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 12312451205?\nAnswer: -12312451200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*k = 155*k - 39*k - 7952 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7605093, 7605097, 7605103, 7605111, 7605121, 7605133?\nAnswer: 7605147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 5:13 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -37*c - 48 + 15 - 36. What is the tens digit of k(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 6. Suppose 4*d - 455 = m - 4*m, 4*d + 5*m - 465 = 0. Suppose 0 = -r - j + 6*j + d, 0 = 5*r + 2*j - 685. Let n = r + -132. Determine v(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1864 is divided by 593?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.105? (a) -0.05 (b) -1 (c) 3\/2 (d) 3 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4294*l - 3*w + 8 = 4295*l - 14, l - 65*w = -365 - 157 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47951.2793 - 47890.3. Let z = -0.0793 + g. What is z rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c + 3 - 4*c**4 - 2*c**2 - 5 + 3*c**4 + 1 in the form x*c + l + f*c**4 + p*c**2 + k*c**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c*c\/c**(-12))*c)\/c)\/(c*c**(-31)\/c*c) assuming c is positive.\nAnswer: c**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**(-5\/11)*i**7\/(i*i**(2\/3)\/i) assuming i is positive.\nAnswer: i**(194\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3255 - -3265. Let s(h) = -2*h - 1. Let l be s(-1). Let i be 4 + -2*l\/1. Solve -k = i, o - 2*o - 4*k - z = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54831100 to the nearest 100000.\nAnswer: -54800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5 - 4 + 2 - 2*d + 4. Let l = 3 + -8. Is w(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*f = -106 + 118, 0 = -q - f + 4. Let u(h) be the first derivative of q*h**2 + 0*h**3 - 15*h + 29\/4*h**4 + 3. Differentiate u(d) wrt d.\nAnswer: 87*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274236 is divided by 3705?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: a72999 (base 11) to base 13\nAnswer: 4815bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 5*c + 1, -2*l - 31*c + 2 = -30*c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*f*t - 50059*f - 4017*t - 3 with respect to t.\nAnswer: -6*f - 4017","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 315, -2, -2\/7, -0.7, 1016?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 - 46*t - 39. Let c be l(-22). Suppose -c*x + 115 = -185. Does 20 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -383*v + 384*v - 20 = 0. What is the greatest common divisor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69.975 - 0.025. Let b = 143 + n. Let l = b + -72.999495. What is l rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*p - 877947 = -193557. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -11*u**5\/20 + u**4\/6 + u**3\/2 - u**2\/2 - 20*u. Calculate the remainder when g(-2) is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -3922768?\nAnswer: 3922767.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 3459568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -13. Suppose o = -0 + h. Solve -o*m = 4*r, 2 = r - 3*m + 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a day in minutes?\nAnswer: 8928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 10. Let k be f(7). Suppose 0 = -s - 0*n + 2*n - 112, -336 = 3*s + k*n. Let d = 51 - s. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543573 is divided by 116?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 20*i**2 + 66*i + 35. Let a be n(-16). Solve -f = 2*g - 13 + a, 11 = -3*g + 5*f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o - 13 + o - o**2 + 11 + 0*o + 5*o**4 to the form g*o**2 + u*o + m*o**3 + f + k*o**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 4:09 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381 = 17*d - 398 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1772.34 + -1772.340255486. What is k rounded to five dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1*0\/((-96)\/(-12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 121*y - 125*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480 = 23*w - 15*w. Let x be (-3 - 2)*(1 - 4). Calculate the highest common factor of w and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -3\/8 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3535 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1937 and 745.\nAnswer: 9685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 34*q + 3*q**2 + 2*q**2 - 69*q + 36*q)*(72 - 72 + 20*q**2).\nAnswer: 100*q**4 + 20*q**3 + 180*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/11 - 14*i**3\/11 - 30*i**2\/11 - 26*i\/11 - 8\/11.\nAnswer: -2*(i + 1)**3*(i + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t + 5*t - 10*t + 6*t in the form j*t + d and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 11*a**2 - 10*a - 13. Is l(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rah when three letters picked without replacement from {a: 2, r: 3, j: 1, h: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -106, -41, 71 in descending order.\nAnswer: 71, -2, -5, -41, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*b + 11328 = 461*b + 79051 + 2883 for b.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 754\/(-39)*1 - -18. Which is the third smallest value? (a) -0.3 (b) 15 (c) -3 (d) i (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2039*z + 1. Let y be a(-7). Let u(x) = 0 - 8368*x - 1 - y*x + 3141*x. Let c be u(-1). Round c to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) -17 (b) 0 (c) -4 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -651453 times 0.12?\nAnswer: -78174.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 9*l**2 + 6*l - 8. Let n be t(-8). Let y = 73 - n. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003541 rounded to four decimal places?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 2:58 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y**(1\/2))*y))**(1\/7)\/(y**(-6)\/(y*y**(-6)))*(((y**(-2\/7)*y)\/y)**25)**(4\/11) assuming y is positive.\nAnswer: y**(-235\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 3*k**2 - k + 4. Let d = 24 - 20. Let j be ((-2)\/4)\/(d\/(-24)). Give m(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/2*24\/20 - 588\/21?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/77)\/((-44)\/(-132))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -z - 21, y + 19 + 60 = -5*z. Let h = -12 - z. Solve -h*g - g + 15 = -5*a, -3*g + a = -9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 4*h**2 - 4*h - 5. Let i be o(2). Put -1, -4, 0, i in increasing order.\nAnswer: i, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 8*m**2 + 16*m + 6. Let d(n) be the first derivative of n**3 + 5*n**2\/2 + 2*n + 40. Calculate 16*d(i) - 5*q(i).\nAnswer: 8*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 6. What is the nearest to -1\/4 in 0.5, o, 1\/18?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 7) + 4 - -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 968274 divided by 834?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.02011 and 5.\nAnswer: 5.02011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 j, and 1 r when three letters picked without replacement from jivrrvijrvjrrrj.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 93, 200, 347?\nAnswer: 534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 218948516 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 42. Which is bigger: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 divided by 263?\nAnswer: -116\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-1) + (-3 - -2). Let d(z) = z**3 - z - 3. What is the remainder when d(p) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -167 + 4339\/26. Is 1 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -927914, -1855828, -2783740, -3711650?\nAnswer: -4639558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 139 + -98. Let h = 51 - s. Find the third derivative of -h*o**2 + 12*o**2 + 6*o**4 + 19*o**2 wrt o.\nAnswer: 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*v - v. Let d = 17 - v. Solve 5*n + 14 = w, -2*n - 5*w + d - 3 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**3\/3 - 35*w**2\/2 + 141. Solve l(i) = 0.\nAnswer: -35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15603586 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.04 (b) -3 (c) -4 (d) -2\/9 (e) 21\/4 (f) -2\/17 (g) -86\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 19 (b) 50 (c) -1\/7 (d) 2 (e) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 310\/41, -0.3, -1.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*w - 3*i = -661, 395*i + 85 = -10*w + 201*i + 199*i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 37939970 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 3*n. Suppose -l + 2*l = n. Suppose l*v + 107 = 4*t - 3*v, 101 = 4*t + 3*v. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -143499088?\nAnswer: -143499086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/(-21)*(-98)\/21. Let w(g) be the second derivative of -1\/20*g**5 + 0*g**2 - 1\/12*g**z + 4*g + 1\/3*g**3 + 0. Let w(q) = 0. What is q?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**4\/2 + 6909*c**2\/2 - 3444*c + 2520. Find the first derivative of t(y) wrt y.\nAnswer: -6*y**2 + 6909","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 7:53 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a6 - bc?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 115643, 4, -5, -4 in descending order.\nAnswer: 115643, 4, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 72 = -4*v. Suppose m = -4*b + v, 2*b - 15 = -3*m + 3*b. Suppose m*o = 3*o + 15. Solve 5*f - 16 = s + o, 0 = 4*f + 4*s - 36 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-14\/3)*t*t**(-1\/37) assuming t is positive.\nAnswer: t**(-410\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 31\/((-496)\/132).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -10, -0.2, -3, -1.7 in descending order.\nAnswer: 0.2, -0.2, -1.7, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 + 2 - (3 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3506 is divided by 82?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + l + 25 = -l, 0 = 3*i + l + 23. Let g(b) be the third derivative of 0 - 1\/12*b**4 - 1\/6*b**3 + 0*b + 31*b**2. What is g(i)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/3)*d**(-1))**(2\/61)\/(((d*d**(-4)*d)\/d**(-4))\/(d**(-2\/5)\/d)**(2\/15)) assuming d is positive.\nAnswer: d**(-3418\/1525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-2)*(-7 - 12). Let p = 27 + j. Find the second derivative of 5*l**2 + 4*l + p*l**2 - l**2 wrt l.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 - 68.79. Let j = 0.01 - h. Which is greater: j or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 - -106?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4877\/306 + 372\/17. Let x = j - 37\/6. Let p(z) = -z**2 - 2384*z - 267392. Let d be p(-118). Which is the third smallest value? (a) 2\/7 (b) x (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44816\/373 or 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, q: 2, c: 3}. What is prob of sequence ccq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqzzazatazzz. What is prob of picking 2 a, 1 z, and 1 t?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 118*w - 14*w + 14479*w**2 + 0 + 5 - 14481*w**2 to the form j*w**2 + t + v*w and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10560 and 2183280.\nAnswer: 8733120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-1)*n))\/(n\/n**(1\/3)*n*n)*((n\/(n**0*n*n*n))\/n)**(2\/5) assuming n is positive.\nAnswer: n**(-58\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k - 5. Let p be r(-5). Suppose p = -3*g + 8*g. Solve g*z + 5*b = z + 6, 0 = 5*z - 3*b - 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 + 3507*z\/4.\nAnswer: z*(z + 3507)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -11, -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20018861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*w = 18. Suppose -6*n = -7*n + 28. Solve 5*s + n = -4*t, 4*t - w*s = -s + 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3525*n + 3520*n = -4*l + 328, 0 = -2*l - 5*n + 134. Let y be 348\/9 + (-2)\/3. Suppose -y = -5*q + 347. Is q at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22474718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**2\/2 + 14*p + 3. Let y be l(-7). Let b = -22 - y. Round b to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 6*r**2 - 5*r + 5. Let z(n) = -3*n**2 + 2*n - 2. Let q = -209 + 205. Let a(u) = q*x(u) - 10*z(u). Let p(i) = 4*i**2. Determine p(a(b)).\nAnswer: 144*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m - 1978 = 3*i, -5*m + i = 4979. Let c = -548 - m. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -6*b**2 + 89*b + 589. What is z(-6)?\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7 and 6009629.\nAnswer: 6009622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -3*b - b + 12, -3*c = -2*b + 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -24305.87 less than 5\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 9*u + 3. What is l(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + u = -114, 0*u - 5*u = -4*k + 460. Suppose -2*y + k = 24. What is the remainder when y is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**5\/15 - 175*z**2. Let i(k) be the first derivative of -k**3 + 1. Give f(i(r)).\nAnswer: 36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-30))\/((-12)\/(-162)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -13\/14*u**4 - 16\/7*u + 4\/7*u**2 + 4\/3*u**3 - 12 + 6\/35*u**5. Solve r(s) = 0.\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 10:36 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 0*n**2 + 3*n**3 + n**2)*(-2*n**2 + 6*n**2 - 3*n**2).\nAnswer: 3*n**5 - n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 3\/2*h**2 + 2*h**3 - 14 + 3*h. Let c = -4 + 7. Let q(u) = -5*u**2 - 2*u - 2. What is c*q(a) + 2*n(a)?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22679093 by -22679093.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/3)\/(4\/28). Which is bigger: a or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wieaeaieeaiaieea. What is prob of picking 1 a, 1 w, and 1 e?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-3) - (0 + -7 + 4). What is the hundreds digit of (0 + i)\/((-19)\/(-17841))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18445 (base 14) to base 2.\nAnswer: -1110111100011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 7 = -b + 5*u, 17 = 4*b - u. Suppose 4*g = 3 + b. Suppose -5*w - g*r + 480 = 3*r, -2*w + 187 = r. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 26 + 10\/(-5) + -2. Let d = k - 5. Calculate the remainder when 43 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppgppgp. Give prob of sequence gp.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a factor of 199524192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -405, 2, 5, -0.4, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28235 and 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -49*m - 678. What is the tens digit of d(-38)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 208099.1 centuries?\nAnswer: 249718920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18 + -17)*(-338)\/(-2)*-1. Let j = a + 202. Solve 12*v - j = 27 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-5) + 2\/(-5). Let m(t) = -3*t - 4. Let r be m(d). Suppose 78 = -0*x + r*x. What is the remainder when x is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 959*j - 471*j - 472*j.\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*w = -16, 0*h - 2*w - 13 = h. Let t be (-3)\/(-1*(-3)\/h). Suppose -t*q = 3*d - 12, 5 + 8 = 3*d + 4*q. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 12*b + 5. Suppose 32*j - 34*j = 48. Let u(d) = 4*d**2 + 60*d + 24. Let h(o) = j*i(o) + 5*u(o). Factor h(s).\nAnswer: -4*s*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1022 is divided by 202?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17386 or -17385?\nAnswer: -17386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*g = -g + 16, -3*s + 4*g = -52. Let a be 62 - 9*4\/s. Let x = 24 - a. Is x >= -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2299 - -2295. Let l(q) be the third derivative of -q**6\/120 - q**5\/10 - 5*q**4\/24 - 3*q**2. Let k be l(-5). Is b greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - 30 - 7*r in the form a + i*r and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.491 - 1.5. Let o = 16.491 - c. Let w = o - 17. Sort 0.4, w, -2\/5 in descending order.\nAnswer: 0.4, -2\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l + l + 17*l - 8*l + 8*l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*b - 3*b. Let x be -3 - (-1 + b)*37. Let m = x - -64. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nine tenths of a minute?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1795*f = -1800*f - 25. Let v(z) = z**3 + 9*z**2 + 9*z - 1. Give v(f).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 120 = 4*g + 10*j, 45 = g - 4*j. Let f = -33 + g. Let u(n) = -n**3 - 5*n**2 - 4*n + 1. Calculate u(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -12 + 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71598 and 31971.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 96 = -4*n - 99, -32*r - 3*n = -0*n - 88 - 229 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1787\/10866 + -4\/1811. Which is the nearest to 144? (a) 2 (b) -0.3 (c) g (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 - 44. Which is the nearest to -1? (a) 0.1 (b) -2\/13 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -42.7 and -89185536.\nAnswer: -89185578.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**3\/3 + 7*y**2 - y + 446. What is z(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 26*n + 33. Let a(u) = 5*u + 6. Let d(i) = -11*a(i) + 2*c(i). Let q(x) = -x**2 + x. Give d(q(o)).\nAnswer: 3*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 6*d + 2. Let f be j(0). Suppose 5*z - 6*z - 91995 = 2*u, -f*z = -2*u - 92010. Round u to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215521331 (base 6) to base 8\nAnswer: 16735027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a**2 + 2*a**2 + 5*a**3)*(-7*a - 28 - 30 + 60) to r + g*a**3 + y*a + m*a**4 + p*a**2 and give m.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**6\/240 - y**5\/60 - 7*y**4\/12 + 3*y. Let u(v) be the third derivative of z(v). Let o = 4 - 1. Calculate u(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*46\/(-36) - 3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2701, 5397, 8093, 10789?\nAnswer: 13485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 17*n = 160. Let p = n - 61. Are p and -29 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30*4\/(-760)*-19. Let a(p) = 5*p + 8*p - 5 - 5*p. Let m(y) = 4*y - 2. What is w*a(t) - 7*m(t)?\nAnswer: -4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 70*p - 10045. Calculate n(154).\nAnswer: 735","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (0 - 1 - -5) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-112)\/(-49) - -2 - 6\/21. Suppose u*r - x - 39458 = x, 5*r - 5*x - 49330 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 4*s**2 - 5*s + 4. Let p be j(3). Let g(c) = -c. Let y be (-2)\/3 + (-2)\/(-3). Let m(r) = -1 + y*r + 0*r - r**2. Determine p*g(o) + m(o).\nAnswer: -o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1958 and 3916?\nAnswer: 3916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(108)*-1 + -4 + -2 - 2*(-4*sqrt(108)*1 + -4))**2 + 4.\nAnswer: 588*sqrt(3) + 5345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 1013947.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5 - 16106758903020?\nAnswer: -16106758903023.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 6*s - 4. Let v(q) = -5*q**2. Let h be v(-1). What is the units digit of l(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 12. Suppose 408*n = 409*n + 7. Let a(m) = -m - 10. Let c(y) = n*a(y) - 6*i(y). Let o(j) = j - j + j - 3*j. Calculate o(c(w)).\nAnswer: -14*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6147 + 8387. What is the lowest common multiple of 25 and r?\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 120437799, 120437800, 120437801, 120437802, 120437803, 120437804?\n\"Answer: l + 120437798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 = 12*x + 195 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 7. Let j be ((-4)\/(-6))\/(3\/81). Let h = j + m. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (-15 - -13) - 58.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*v**3\/3 - 112*v**2\/3 + 50*v\/3 - 2 = 0.\nAnswer: 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 6*b - 1717 = 77. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 4*g - 12. Let z = 3 + 3. Let t be h(z). Is t greater than or equal to 2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 5. Does 5 divide (r - (-1 - 0))*10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/9357 + -149572\/327495. Calculate the common denominator of r and (-5 + -1)\/((-400)\/(-148)).\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5 - 12*b + 22*b - 9*b. Let d be l(5). Which is smaller: d or -7\/6?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -1722\nAnswer: 172.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7.3 and 6578?\nAnswer: 6570.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 74569045 to the power of 1\/3, to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 818 a factor of 265456542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 101110 (base 2) in base 15?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -2\/3, 0, 1\/4, 1, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2. Let p(d) = -34*d - 10. Let q(b) = -4*n(b) - p(b). Let h(s) = 1. Determine -2*h(f) + q(f).\nAnswer: 34*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**2 + 3*a**2 - 9 + 9 + 5*a**2 - 3*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -100001010001 (base 2) to base 13\nAnswer: -c7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15278 - 7537.8147.\nAnswer: -22815.8147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - -2) + 2731*2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69495623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(11)*1 + 1))**2 + -6*((sqrt(176) + 2*sqrt(176) + sqrt(176))**2 + sqrt(176)) + (3*(1 + sqrt(275)*-2)*-4)**2.\nAnswer: -2902*sqrt(11) + 141660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2613335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 28*q - 127 - 11. Calculate the remainder when 842 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.7 - 0.7. Let c = -0.51232 + 0.01232. Sort b, 26, c in increasing order.\nAnswer: c, b, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 279.35?\nAnswer: -279.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75980 and 1834.\nAnswer: 531860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 13 = -5*k, -k + 4*q - 8 = -5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.69887 - -0.05887. Which is the third smallest value? (a) o (b) 0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 5*a - 485, 228 + 375 = 5*y - 3*a. Let t be (-18 - -16)\/(28\/15 - 2). What is the highest common divisor of t and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2772 divided by -1386.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 10*y**2 + 6 - y - 3 - 2 + 2*y. Is r(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -219630 divided by 43926?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 5*t + 10, t - 2 = -i + 2. Calculate the common denominator of i and 30\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffn when three letters picked without replacement from ffjnffffwffwffwfwjw.\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5*(sqrt(2057) + 3) - sqrt(2057)))**2.\nAnswer: 1320*sqrt(17) + 33137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a. Let l(j) = 12*j - 26*j + 11*j. Give q(l(r)).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 201 + 651481*c**3 - 651479*c**3 + c**2.\nAnswer: 2*c**3 + 201","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 8*j**2 - 13*j - 7. What is the units digit of q(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81 - -161. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 12:57 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 76809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 1:59 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 8 + 3)*(-21 + 21 - 87*u + (2 - 3 + 2)*(-2*u + 2*u + 2*u)) to the form o + a*u and give a.\nAnswer: -1105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8955\/390 + -23)\/((-2)\/(-362)) + 1 + 6.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 12*b - 13. Let y be v(5). Let m = 49 - y. Solve -m*p - z + 3 = -8, 4*p = -4*z + 32 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 66, 160, 286, 444, 634?\n\"Answer: 16*l**2 + 46*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 12:39 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/6 + (-4)\/8. Let p be -3 - -3 - r\/(-2). Suppose 3*h = -2*h - 5. Which is the closest to p? (a) 5\/2 (b) -1\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2350, 4419, 6394, 8227, 9870, 11275, 12394?\n\"Answer: -8*d**3 + d**2 + 2122*d + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*s + 10*s + 3. Suppose -n = -6*n - o + 89, -4*o - s = -n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7854 = -335*d - 379*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64 - -53. Let g(d) = -63*d + 113. Calculate the remainder when g(x) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3 + (-8)\/(-8) - -1116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11012828?\nAnswer: 2, 37, 74411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jjjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-98)*4375\/(-1875)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.046 in 4, 1, 1\/4, -113, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 256*c**2*n**3 - 4*c**2 - 142*c*n**2 wrt n?\nAnswer: 1536*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-10)*(-25)\/(-5). Let z(j) = 145000*j**2 + j - 2. Let x be z(t). Round x to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*x - 31 - 6 = 0, -5*x - 10 = 5*y. Let i = 3 + 3. Suppose i = h + y. Solve -3*l - 4*b - h = 0, -2*l + 3*b = l + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -6425\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6704 by -8.\nAnswer: -838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15379?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*z + 16 = 0, 3*z - 4 = -n - n. Suppose 6*a = 3*r + 2*a - 52, -3*a - 83 = -n*r. What is the tens digit of 1*2\/2*r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 11. Suppose -6 = -3*g - r*m, g + g + m - 4 = 0. Let f be g*(-1 - (-12)\/9). What is the biggest value in 2\/9, 5, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 110\/19*k + 2\/19*k**2 + 108\/19 = 0. What is k?\nAnswer: -54, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12373296.\nAnswer: 2, 3, 13, 79, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28a884a + -5?\nAnswer: -28a8851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nrnnrnnnrnrnrn. Give prob of picking 2 n and 2 r.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.027 - 6.473. Let z = h + 6.5035. Round z to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -7*c**2 + 3*c - 2. Let n(l) = 14*l**2 + 9*l + 25. Let d(w) = -14*w**2 - 7*w - 22. Let p(g) = 7*d(g) + 6*n(g). What is 5*b(y) - 3*p(y)?\nAnswer: 7*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9251 and 116899?\nAnswer: 1285889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21674805 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/9, -8, 0, 0.9, -3.6 in decreasing order.\nAnswer: 3, 0.9, 0, -2\/9, -3.6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12702093 divided by -7.\nAnswer: 12702093\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2010 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in -4, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 12:27 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 16\/20 - (-536)\/2345.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u - 26*u + 44*u**3 + 9*u.\nAnswer: 44*u**3 - 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*w**2 + 409*w + w**3 + 435*w - 1 - 842*w as j*w**2 + s*w**3 + v + p*w and give j.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - 6*b - 3. Is y(-6) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehp when three letters picked without replacement from {p: 3, e: 2, k: 3, r: 1, b: 3, h: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.3 and -139.3.\nAnswer: -140.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - v - 3 = 3*d, 0 = -2*v - 4*d - 4. Suppose 0 = 2*y + 5*i - 26, 8 = 4*y - 0*i - i. Suppose -3*g + y + v = 0. Solve 0 = k - g + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -5*w**3\/2 + 345*w**2\/2 + 10*w - 690 = 0.\nAnswer: -2, 2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*m - 24, -7*z = 2*m - 5*z. Suppose 0 = m*k + 5*h - 165, 3*k - 5*h - 100 = -4*h. Calculate the remainder when 208 is divided by k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*h - 4*y - 2, 2*h - y - 8 = 0. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(2\/3))\/d)**6\/(d\/d**(-2\/5))**(-1\/21) assuming d is positive.\nAnswer: d**(-59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2 + 19591*j - 844262 = 0 for j.\nAnswer: -19634, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/(-21))\/(8\/552). Which is the third biggest value? (a) x (b) 7 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - (3 - 0)) + (-18)\/(-15). Sort -2, u, -5 in descending order.\nAnswer: -2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/20 and 91\/18086?\nAnswer: 180860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m + 19. Let f(z) = 31 + 40 - 3*z - 89. Let t(a) = -5*f(a) - 4*p(a). Let n(h) = -3*h + 33. Let y be n(11). Calculate t(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 525 and 22713.\nAnswer: 3974775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -267*r. Let v(q) = -36912*q**2. What is a(v(l))?\nAnswer: 9855504*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68 - -139. Suppose l + 3*f = i, 9 = f + 2*f. What are the prime factors of l?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*y = -1040*y + 12013 + 22651 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(108)))**2*6 + 4.\nAnswer: 288*sqrt(3) + 2620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1384950 divided by 35\nAnswer: -39570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11072 by 2.\nAnswer: -5536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*40.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25.5 - 13.5. Let p(o) = -2*o + 22. Let b be p(9). What is the fourth smallest value in h, 0.1, -5, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -122031031?\nAnswer: -122031034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/30)\/((-16)\/177). Let y = 15\/8 + j. Suppose 11 - 16 = 8*l - 3*l. Is y >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 3:38 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4704.2 times 9?\nAnswer: 42337.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14659358 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**9\/5040 - l**7\/2520 - l**4\/4 + 6*l**2. Let s(y) be the second derivative of i(y). Find the third derivative of s(d) wrt d.\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 41 - (0\/(-4) + 2). Suppose 2*c = 5*c + k. Let q = c + 18. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2 + 17*d. Let g(a) = a**2 + 4*a. Let f be (-3 - (1 + -5))*-6. Let s be f + (4 - 3)*(4 + 0). What is s*p(r) + 9*g(r)?\nAnswer: 3*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14153242 (base 7) to base 6.\nAnswer: 44214044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -433 divided by 110361?\nAnswer: -433\/110361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7269.\nAnswer: 3, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5597265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -6. Let f = -5.07 + 0.07. What is the nearest to 0 in 0.2, f, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4332.748 days?\nAnswer: 374349427200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 z when two letters picked without replacement from {x: 5, i: 1, v: 4, z: 1, h: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 11.1. Let s = n + 2. Let u = -0.2 + s. Which is the third biggest value? (a) -2 (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2\/5 + 14704*c\/5 + 14706\/5 = 0. What is c?\nAnswer: -1, 7353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -599*s**2 - 164*s wrt s.\nAnswer: -1198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6a2 - -a?\nAnswer: 6ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -7*a + 4. Let f be i(-2). Suppose j + f = 2*m - 3*j, 0 = 2*j + 6. Suppose -3*t + 2 = -h, 0 = -4*t + m*t + 4*h - 14. Solve -2*b - t*b = -16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*s - 4*o, o = s - 4*o - 25. Solve s = 5*l + h - 20, 3*h = -23 + 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*z + 3696 = 43*z. Let f be ((-4000)\/(-15))\/(4\/z). What is f rounded to the nearest one thousand?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 78*x + 113*x + 573. Let i(z) = -z**3 - 4*z**2 - 4*z. Determine i(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -33, -315, -1087, -2595, -5085, -8803, -13995?\n\"Answer: -41*q**3 + q**2 + 2*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((3 - 3) + -26)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205958 = -112*v + 83*v. Calculate the remainder when v is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/39))**(-40) assuming w is positive.\nAnswer: w**(-80\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**5 - 24697*x**4 + 43574*x**3 + 2112893*x**2 + 4329530*x + 951104 = 0.\nAnswer: -6176, -7, -2, -1\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**2 + 378*q**3 + 7*q**2.\nAnswer: 378*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24197 = -10*o + 8863. Let q be (-4)\/78*o\/76. Is q <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n - 4*n + 3 + n. Suppose -5*o - 3*a = -25, o + 4*a = -4*o + 30. What is d(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, o: 2}. Give prob of picking 2 o and 2 r.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23746113, 23746136, 23746195, 23746308, 23746493, 23746768, 23747151?\n\"Answer: 3*j**3 + 2*j + 23746108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -57 + 135 + 16*c + c**2 - 58. Let l be f(-15). Suppose 3*w - 12 = -4*n - 0*w, -l*n + 3*w + 15 = 0. Solve -2*x - 8 = -j - n*j, -5*j + 28 = 2*x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 343\/60, -2\/9, 0.03 in decreasing order.\nAnswer: 343\/60, 0.03, -2\/9, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -598193578*v**3 + 3*v**2 + 2325885*v - 5.\nAnswer: -3589161468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.03, -53.89 in ascending order.\nAnswer: -53.89, -5, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -56?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/8, 0.1, -5, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11330031020 (base 4) to base 11.\nAnswer: 974046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b80 - 3?\nAnswer: -2b83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/4 and -11\/128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-1)\/u))\/u)**10*u*u**(-3)*u**(2\/5)*(u\/(u*(u**0\/u)\/u))**(-3\/5)*((u\/(u\/u**(4\/5)))\/u)\/(u*u**(-3\/5)) assuming u is positive.\nAnswer: u**(83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 2*i = 3 - 8, 0 = -5*a - 5*i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -291*n**2 + 353*n - 187071 wrt n.\nAnswer: -582*n + 353","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767.\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) 4442 (c) 3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 676, 2, 4, -1 in increasing order.\nAnswer: -1, 2, 4, 5, 676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 685597860 to the nearest integer?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/7? (a) 1 (b) 6 (c) -0.5 (d) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -270*p**3 - p**2 + 131*p?\nAnswer: -1620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 12 - 7 - 2*c)*(3 - 2 - 4).\nAnswer: -3*c - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310497 is divided by 108.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 291 and 27.\nAnswer: 2619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3251?\nAnswer: 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.411827 - -15050.\nAnswer: 15037.588173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2 - 13. Let r(a) = -22*a**2 - 3. Give r(i(s)).\nAnswer: -198*s**4 - 1716*s**2 - 3721","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269145 = -336*g - 271161 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 10. Is 1 + n - (-89*32 + 5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -m + 173. Does 18 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59329\/448 + 777\/64. Let s = 145 - t. Are s and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -161 and 0.4.\nAnswer: -64.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 293 + 2.127.\nAnswer: 295.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38.2 + 38. Put v, -0.5, -0.02 in decreasing order.\nAnswer: -0.02, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 47.4.\nAnswer: -14.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/34248 and 47\/1608.\nAnswer: 2294616","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.1 (c) -3\/20 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-18\/5)*j)\/j*j**(-10)*j*j assuming j is positive.\nAnswer: j**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 699589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2\/3*u**2 - 30*u + 0 = 0.\nAnswer: 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(468) + -3 + sqrt(468)) + (sqrt(39)\/(-3*sqrt(3)))**2 + 1)*1.\nAnswer: -140\/9 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4325688, -4325690, -4325694, -4325700, -4325708, -4325718?\nAnswer: -4325730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*u = 48*u - 2*o - 4, -2*u = -4*o. Which is the nearest to u? (a) 20 (b) -1\/6 (c) 22 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*l**2*u**3 - l**2*u**2 - 17*l**2 - 5*u**3 - 9*u wrt u?\nAnswer: 150*l**2*u - 2*l**2 - 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v - 14. Let m(t) = 6134*t**2 - t + 23*t - 6133*t**2 - 7*t. Determine m(o(c)).\nAnswer: 4*c**2 + 26*c - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2584 + 2632. What is the greatest common divisor of i and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36591300?\nAnswer: 2, 3, 5, 109, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 22. Let g be 44 + (22\/(-6) - 1\/3). What is the greatest common factor of g and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 5*c**2 + 3*c + 2. Let j be y(-3). Suppose 2*h = j + 19. What is the greatest common divisor of 135 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-318)\/7791)\/((-25)\/35)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -f - 4*c, -2*f + 2*c - 7*c = -14. Is -1 - 7*f\/(-3) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -1138*q**2. Let t(m) = 1121*m. Give t(b(y)).\nAnswer: -1275698*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 3*b - 19928. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3494386 is divided by 111?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -0.246?\nAnswer: 0.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4708324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-2) + 205\/287*35\/10. Let a(y) = 4*y - 1. Let m be a(1). Solve -10 = -5*d - 5*z, -d - 4*z + m + 2 = x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 338 = 362 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 19*d**5\/30 + d**4\/24 + d**3\/6 - 3*d**2\/2 + 7*d. Let i(z) be the first derivative of s(z). What is the tens digit of i(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n. Let g be t(2). What is the third derivative of 5*y**g + 2*y - y**6 - 2*y wrt y?\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - -3)*(-6 - (-75)\/12). What is the third biggest value in q, -0.1, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/3)\/(b*b\/(b\/((b**18\/b)\/b*b*b*b)))*b**18\/b**(-2) assuming b is positive.\nAnswer: b**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9160 is divided by 92.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 24*h**2 - 3954*h + 101473. Give x(26).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 40*x**3 - 2*x**2 - 18*x - 26. Determine l(-3).\nAnswer: -1070","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/7, 0.2, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 3, -3\/2, -1\/4, 0.27, 768?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 2:10 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 342824881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 + -22226?\nAnswer: -22203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + z**2 - z. Let t be u(0). Find p such that 6*p**4 - 5*p**2 + p**2 - 16*p**5 + 6*p - 2 + 14*p**5 + t*p**2 - 4*p**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**2\/3 - 85*o + 490\/3 = 0. What is o?\nAnswer: 2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/6 - 103\/3. Let a = -21 - w. Let p(t) = 5*t**2 - 3*t + 5. What is the remainder when p(3) is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2300 = n - 3*h, -4*n + 2*h = 9200. What is n rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 9. Solve t*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 15 = -h - 2*w, 3*h - 10 = -w. Let l be 12\/h*45\/(-6). Round l to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/2524270 and 67\/170?\nAnswer: 42912590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7034524s to milliseconds.\nAnswer: 703.4524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*(sqrt(78) + sqrt(78) + sqrt(78) + (sqrt(78) - (sqrt(78)*4*1 - sqrt(78)))))\/(1*(sqrt(1350) - sqrt(54) - sqrt(6) - sqrt(66)\/sqrt(99))).\nAnswer: 15*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8338596 divided by 7\nAnswer: 1191228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 - 4550*v - 4542*v + 9092*v.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*v - 26*v + 87. Calculate the remainder when 56 is divided by v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 3*f - 14, -22 = -5*f + 4*j - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 665502?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 2165798.\nAnswer: 1\/1082899","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 17 - 11 - 2\/(-4 - -2). Suppose -v - m = -c, 16*v + m - 17 = 13*v. Solve 15 = -2*b - v*u, -18 = -b + 2*u - 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -744, -2871, -6366, -11223, -17436, -24999, -33906, -44151?\nAnswer: -55728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13814302 by -39134.\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*w + 1130 - 866 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -9597.5\nAnswer: 9598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 247 + -247.1. Which is the nearest to -1? (a) 12 (b) 2\/9 (c) 1 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133635590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04256 equal to 1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-3) + -2)\/((-4)\/2). Suppose h = -x*h + 4. Solve -2*y - 16 = 2*q, 3*q + h*y + 21 = 2*y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*a**3 - 277*a**3 + 1 + 556*a**3 - 1.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41010232191 minus 2337?\nAnswer: -2336.58989767809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 86*z - 78*z + z - 47*z**2.\nAnswer: -47*z**2 - 163*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*b + 11, -4*b - 5*v + 0 = -14. Let y be 77\/(-55) + 2\/5. Let f be (b - (-4)\/y)*-1. Solve 0 = -2*n - 2*u, -n - f*u = -5 + 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -2*p**3\/3 - 3*p. Let q(y) = y**2. Calculate q(b(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/20635370 and -33\/179438.\nAnswer: 20635370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 148473 and 369044?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 - -5840?\nAnswer: 6153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27\/4 - 13\/2. Let w be ((-43)\/(-258))\/((-1)\/3). What is the closest to w in j, -8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 521326.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 4927923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/3)\/j*j**(4\/7))**(-2\/95)\/(j**(-3)*j*j*j\/(j\/(j\/j**(1\/2)*j*j)*j*j)*j*(j**(-2\/7))**30) assuming j is positive.\nAnswer: j**(32269\/3990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 25*p**3 + 5*p**2 - 11*p - 7. Let k(f) = -12*f**3 - 2*f**2 + 5*f + 3. Let t(g) = -4*c(g) - 9*k(g). Let y be ((10\/8)\/5)\/(10\/80). Does 11 divide t(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -570621*w**3 + 18*w**2 + 199*w - 628679?\nAnswer: -3423726*w + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 8*u - 8*u = 20 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence il when two letters picked without replacement from {i: 6, d: 3, l: 2, n: 3, s: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.453, -12\/17, -4\/11, -2, 1 in decreasing order.\nAnswer: 1, 0.453, -4\/11, -12\/17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a factor of 470449375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1210554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 344812362?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -47, -116, -223, -374?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 5 - (-5 + 1) - -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/3 + 11144*a - 160265690\/3.\nAnswer: 2*(a - 3889)*(a + 20605)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95808 is divided by 1475.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11220 + -12?\nAnswer: -12002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1342378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6 and -645596.\nAnswer: -645602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*w - 4*w + 20*w - 1311*w**2 + 86*w + 1225*w**2 + (2*w**2 + 3*w**2 - 3*w**2)*(-1 + 1 - 1).\nAnswer: -88*w**2 + 126*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 29*z**2 + 8*z - 14. Let d(v) = 10*v**2 + 3*v - 5. Let o(q) = -4*b(q) + 11*d(q). Let r be o(-1). List the prime factors of ((-4)\/r - 1)*-57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -57\/17, 2, 5, -2, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -7*v**2 - 4*v - 10. Let p(h) = -13*h**2 - 9*h - 19. Let n(f) = -11*j(f) + 6*p(f). What is the units digit of n(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4\/f)**(-42)\/(f**(5\/4)*f*f*f**(-13)) assuming f is positive.\nAnswer: f**(-465\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1914 divided by -4973?\nAnswer: 1914\/4973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.7 - 6. Let w = -79\/140 + 17\/20. Sort -3, g, w in descending order.\nAnswer: w, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/4332 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 7. Let v(j) = -4*j - 19. Let r be v(c). Solve 3*o + 7 = -w, 5*o - r*w + 5 = -0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 12:12 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 4:15 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j + 0*j - 4*j + 0*j + 122 as x*j + a and give a.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 9*x**2. Let f(k) = -47*k - 3. Determine f(m(d)).\nAnswer: -423*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1282\/5 - -10471\/40. What is the common denominator of i and 91\/(-520)*(-5940)\/210?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (234\/(-4))\/((-56)\/672)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 * -1.31.\nAnswer: -1.441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-21)*((-4)\/(-2))\/(-2)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = -h + 44*j - 45*j, 4*j = 4*h - 892. Solve 121 = 12*u + h for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1903709574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107\/9 - 92\/9. Let l(m) be the first derivative of -j*m**3 + 0*m + 3*m**2 + 5. What is the second derivative of l(h) wrt h?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/3)\/(14\/126). Solve 8*j - 4*j - 2*c = 12, 0 = 2*j - y*c - 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 + 12*s - 552. Let j be l(14). What is w in 0*w - j*w**5 - 1\/2*w**2 + 7\/2*w**3 + 0 - 4*w**4 = 0?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.57 * -0.5\nAnswer: -4.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**5\/30 + 3*y**4\/8 - y**3 - 35*y**2 + 3*y. Determine l(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14.4 (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71557*o**3 + 2*o - 834.\nAnswer: -429342*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -100001110010011010000?\nAnswer: -100001110010011010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 1. Let a(d) = -3*d + 2. Suppose y = -0*y - 2. Let r(b) = y*f(b) + a(b). What is r(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 181*w = -180*w - 34, -3*v + 4*w = 19. Let f(m) = -m**2 - 12*m + 2. Determine f(v).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -121 - -360. Let r = -15 - -20. Suppose -6*g + n + 233 = -g, -2*n = r*g - a. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3748 and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 12:53 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, j: 6, a: 4}. Give prob of picking 2 a.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 735*b + 737*b - 3698*b + 749*b + 754*b + 747*b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2\/124*-1)\/(((-703)\/76)\/(-37))\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.05 (b) -3\/8 (c) -4 (d) 1\/6 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + 55?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o - 18834. Let n(k) = -k**2. Give n(w(s)).\nAnswer: -4*s**2 - 75336*s - 354719556","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*i + 70*i - 3 - 282*i + 81*i + 73*i.\nAnswer: 29*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -11.435 equal to -0.045?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, -160674, -2 in ascending order.\nAnswer: -160674, -2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 111436433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -53 (b) 4 (c) -5 (d) -0.31 (e) -6 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10475634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-5*p + 4*p + 2*p)*(0*p + 4*p - 3*p + (p - 3 + 3)*(1 + 0 - 3) + 34 + 22*p - 34 - p + 0*p - p - 3*p + 0*p + 4*p).\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/5380 and -7\/1614?\nAnswer: 16140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2202\/((0 + 2)*1).\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 169588.84000035 - 169603.84. Let l = 15 + t. What is l rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1705?\nAnswer: 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*n - 346 = -396*n + 2166 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-6) - 65\/(-3). Suppose -g = 4*w - 107 + z, 3*g + 5*w - 276 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-4)))\/y*y\/(y*y*y**(-1\/4))*y)**(17\/4) assuming y is positive.\nAnswer: y**(221\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1840349620 to the nearest integer?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-2)*14\/(-84)*-9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 26\/38225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a - 5. Let j(v) = 4*v**3 - 3*v**2 - 4*v - 2. Let w be j(-2). Let l = -63 - w. Let n be (-10)\/l*10\/1. Determine f(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(-4))\/c**(6\/7))**(-6\/17) assuming c is positive.\nAnswer: c**(-216\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c0 - -20aa2?\nAnswer: 20b82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 6:52 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50863\/(-5354))\/(3\/36)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1134 and -107\/27216.\nAnswer: 27216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300)\/sqrt(4) - (sqrt(208) + -3).\nAnswer: 3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -539344, -539200, -539056, -538912, -538768?\nAnswer: -538624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - -0.1. Let p = -8.35 + 0.35. Put f, 1, p in decreasing order.\nAnswer: 1, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**4 - u**3 + 3. Let x(h) = -5*h**4 + 2*h**3 - 6*h**2 - 9. Let c(n) = 6*q(n) + 2*x(n). What is y in c(y) = 0?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 + 6*y**2 + 3*y - 5. Let k be n(3). Solve -1 = -3*q - k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 27383218?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - x - 5 = 0, 4*o + 3*x - 2*x - 15 = 0. Suppose s + s = o. Suppose 3*b - s*t - 15 = -5*t, -t - 20 = -4*b. Solve f = -2*i, -f + 0*i + 3*i = b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13095?\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m + 25*m**2 + 15 - 14 - 44*m**2 + 3*m**3 to z*m**2 + p*m**3 + k + s*m and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*0.083\nAnswer: 0.0083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -167*f - 3018. Is 2 a factor of l(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 95\/(-30))\/((-2)\/(-4))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 - 4*a**4 + 0*a**4 + a**4 - a**4 - a**4 + (0*a**3 + 2*a**3 + 0*a**3)*(a - 3*a + a) - a**4 - a**3 + a**3 + 7 - 7 - 3*a**4.\nAnswer: -9*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g. Let j(f) = 394288088*f. Determine b(j(c)).\nAnswer: -1577152352*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m**2*u**2 + 177770*m**2 - 10*m*u**2 - m*u - 2*m + 3*u**2 + 23 wrt m.\nAnswer: 6*u**2 + 355540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 13) + (11 - -10)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -32. Let v = -25 + 17.4. Let w = v + h. Put w, -2, 0.2 in decreasing order.\nAnswer: w, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - f = -106, f - 21430 + 21314 = 6*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2831.\nAnswer: 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 29, 92, 167, 260, 377, 524, 707, 932?\n\"Answer: c**3 + 56*c - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*c = -3*o + 21, -5*o + 28 = 4*c. Is 14\/(-98) + 21120\/c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 11*h - 8. Let s be m(-13). Let f be 27\/s - 5\/2. Sort 1\/6, -5, f.\nAnswer: -5, f, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1045\/27197, -0.3 in increasing order.\nAnswer: -0.3, -0.1, -1045\/27197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -3 - -26 - 3. Suppose -t - 3 + u = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -4 - 13) + 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -6*n + 21. What is the third derivative of 2*g**3 + 6*g**n + 17*g**2 + g**3 wrt g?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*n + 2*o, 2*n - o = -6*o - 18. Which is smaller: n or -2\/267?\nAnswer: -2\/267","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 2:02 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 19*p - 6. Let i(v) = 19*v - 7. Let n(c) = -3*i(c) + 2*m(c). Find the first derivative of n(r) wrt r.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9c9 (base 15) to base 16.\nAnswer: -8a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3659994 and 375384?\nAnswer: 14639976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 5*a**2 - 2 + 4*a - 2 - 1221*a**3 + 1. Let w be o(-3). Let c be (-8)\/(2 - 66003\/w). What is c rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(-12)*3832*(-367)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + -8. Let m = b - -44. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29.1 - -29. Is x at most as big as -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(4\/13)\/u*u**(-2\/17)\/u*u assuming u is positive.\nAnswer: u**(-179\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -5 - (-5 + 3 + (-4 - -4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 44*k**3 + k**2 - 3*k + 3. Let q be a(1). Calculate the highest common factor of 18 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 283331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*z - 196*z - 73*z - 2 + 2 + 299*z.\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.21082 nanograms to kilograms.\nAnswer: 0.00000000003821082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oeowooweee. What is prob of sequence wew?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**4 - 2855*b - 2654.\nAnswer: -8*b**3 - 2855","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**6\/120 + 3*k**5\/10 - 3*k**4\/8 - 17*k**3\/6 - 7*k**2. Is b(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrz when three letters picked without replacement from srjjsrsisrzrrrs.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 10 - -2) + (1 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.025041991578 to four decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2*c + 0*c + (c - c + 3*c)*(-3 + 4 - 3))*(4 - 4*c - 19 + 13).\nAnswer: 28*c**2 + 14*c","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, l: 2, a: 1, o: 1}. What is prob of picking 1 p and 1 l?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z - 58*z + 3350 - 2198 = 0 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-11460186.\nAnswer: 5730093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32 + -24?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*w**4 - w**2 + w**2 + 2 + (-w + w - w)*(w**3 - w**3 + 2*w**3).\nAnswer: 4*w**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 4 (b) -5\/11 (c) -0.4 (d) -1\/11 (e) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*o - 18, 2*o = 6*r - r - 17. What is the first derivative of p**4 - 3*p**o + p + 9 + 17*p**4 + 2*p wrt p?\nAnswer: 60*p**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**3\/7 + 8439*g**2\/7 + 833784*g - 138739956\/7 = 0.\nAnswer: -1418, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/3 - 15038*c**2\/3 - 329822*c\/3 + 114954 = 0 for c.\nAnswer: -7497, -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1014 and 390.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*g = 59*g + 72. What is the highest common factor of 36 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - i = 3*h + 159, 3*h + 171 = -5*i. Let k = h - -57. Suppose 0 = k*d + 4*d. Solve 5*m + 5 + 10 = d for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/379 - 748\/1895. Let z = 41 + -37. Let p = -5 + 2. What is the closest to -0.3 in p, z, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -270 + 534 - 266 - 6*v to p*v + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + z - 3*z + 3*z - 2 + z**3 as t*z + l + n*z**2 + j*z**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 - 11*b**2 + 95*b**3 - 21*b + 38 - 3*b**2 - 94*b**3.\nAnswer: (b - 19)*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.228 - -2.292. Let p = -0.52 + i. Suppose 2*j = -2 - 2. Which is the nearest to 0.2? (a) p (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31\/((-2511)\/108)*((-12)\/(-3))\/(-8)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/((-65)\/30))\/(((-165)\/(-2))\/(-11))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2773172820 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 48687109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 47972*h + 191824.\nAnswer: 4*(h + 4)*(h + 11989)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.40907 rounded to 2 decimal places?\nAnswer: 4.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/2, 9.2, 3, -1\/8.\nAnswer: -1\/2, -1\/8, 2, 3, 9.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**4 - q. Let s(w) = 29*w**5 - 14*w**4 - w**3 + 1112*w**2 + 7*w. Let y(m) = 7*p(m) + s(m). Find the third derivative of y(c) wrt c.\nAnswer: 1740*c**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -32*q. Let s(k) be the first derivative of k**6\/360 + 65*k**3\/3 + 40. Let p(t) be the third derivative of s(t). What is p(m(a))?\nAnswer: 1024*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -1001, -3442, -8205, -16064, -27793?\nAnswer: -44166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 471664518 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: Solve 1911*b + 4624 = 755*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -317.485794 - -18.\nAnswer: -299.485794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 2*z**2 + 28424*z + 170425. Determine v(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451220590.\nAnswer: 2, 5, 1013, 44543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79745 and 105985?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2471.03 + -2471. Let f be 1\/3 + 6\/36. What is the fourth smallest value in o, -0.3, f, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + o + 1. Let l(f) = -2*f**2 + f + 4. Suppose 4 = -12*m - 8. Suppose -5*r + 4 = -3*r - 2*j, 4*r + 4*j = 24. Calculate m*l(n) + r*y(n).\nAnswer: -2*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -37\/1291716?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*25\/20*3\/(-5). Let g(s) be the third derivative of 1\/8*s**4 + 0 + 1\/15*s**5 + s**2 + 1\/120*s**6 + 0*s**3 + 0*s. Determine g(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 936728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 - 3*i**2 - 2*i - 4. Let b be n(4). Let y be (-6)\/21 + b\/42. Let l = 3983 + -3981. What is the second biggest value in l, 0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 4:36 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysgb when four letters picked without replacement from ussbyyuysubyug.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 8, -2*h = 4*j + 9 - 21. Find the second derivative of 14*d**2 - 8*d - 15*d - 14*d**j + 25*d**2 wrt d.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 160*v + 21. Let d = -328 + 338. What is the hundreds digit of m(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*1*2\/5. Let v be 46\/14 - r\/(-7). Let g = 2110\/11 + -192. Which is the biggest value? (a) v (b) g (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5 = q. Let i(j) = -3 - q + 2 - j - 2*j. Let f be i(-3). Which is greater: 5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, 0, 0.3 in increasing order.\nAnswer: 0, 0.3, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 j, and 1 t when three letters picked without replacement from {d: 1, t: 7, j: 3, n: 6}?\nAnswer: 63\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 3*h - h - 76, h = 2*v - 30. Let l be 12\/(-102) - 393\/(-17). Solve 3*c = l - v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264 = 129*r - 3360 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.68 - 0.32. What is the second biggest value in c, 6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 25. Which is the biggest value? (a) 0.1 (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 241788*m - 99245.\nAnswer: 241788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12294 divided by 1366.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -27, 16 in descending order.\nAnswer: 16, 4, 3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -6, 3*k - 5*q + 4 = -0*k. Let d be 0\/2 - (-2 + (-9 - k)). Solve -2*z = 5*p - 1, -4*z + 5*p = 4*p - d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(20) + sqrt(240)\/(sqrt(24)\/sqrt(2)) - (sqrt(20) + 1*sqrt(20)*2)))\/((sqrt(120)\/sqrt(3)*2)\/(sqrt(40)*-2 - sqrt(10))).\nAnswer: -25*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**3 - t - 7. Let x(y) = 5*y**3 + 2*y**2 - 2*y - 1. Let l(a) = 12*a**3 + 5*a**2 - 5*a - 3. Let f(r) = -2*l(r) + 5*x(r). Calculate 6*f(h) + o(h).\nAnswer: 4*h**3 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**4\/6 - 37*u**2. What is a(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/11 >= 6.0088?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-147)*(-14)\/4*9\/(-21).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 63840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 = -4*q - 3*a - 1219, 0 = -q + a - 208. Let v = q - -213. Solve z + 0*z - 2 = v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**3 - 40965790*c**2 - 784034*c - 52?\nAnswer: 18*c - 81931580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1587167 is divided by 3511.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1*24)\/((-392)\/784)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -b8a5a3 (base 12) to base 14\nAnswer: -5607c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3852 = -4*t + 4*d, -721 = -2*t + 5*d + 1220. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26146 and 4614?\nAnswer: 78438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 6143*v + 0 + 6133*v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 754423330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -89 times 4.863\nAnswer: -432.807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -276988579 - 483.56?\nAnswer: -276989062.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**3 + 12*a**2 + 9*a - 14. What is c(-8)?\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 1196*y + 4. Let c(s) = 800*s + 3. What is 8*c(b) - 5*n(b)?\nAnswer: 420*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1648*d + 3*y + 1252 = 1649*d, 5*d - 6260 = -5*y. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 * 3062\nAnswer: -82674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*a + 5*a - 3*a in the form l*a + c and give l.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.4, 189847?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 - 9)*(-4 - -2). Let r be (p*(-49)\/42)\/(1\/(-18)). Calculate the greatest common factor of r and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 15, -32 = -5*k - 2*n + 12. Suppose f - 4*f = -4*h - k, 5*f = -3*h + 65. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/1124357 and 89\/130.\nAnswer: 11243570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -14.3, 0.05, -0.3 in increasing order.\nAnswer: -14.3, -0.3, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77.14423 or 10?\nAnswer: 77.14423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 37855, -2\/11, 1\/3?\nAnswer: 37855","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2*15\/(-2) + 0.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -62, -926, 1, -8 in ascending order.\nAnswer: -926, -62, -8, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -43*j**6 + j**2 - j + 13. Find the second derivative of h(d) wrt d.\nAnswer: -5160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -671656.\nAnswer: -9\/671656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*v = 151*v + 648. Suppose -4*a + 47 = 5*s - 30, -3*a + 55 = s. What is the greatest common divisor of a and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 18*i**2 - 38*i - 282. What is the units digit of b(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - -3 - (-13 + 19).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -86, -110, -134?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.9 + -0.1. Let q = -623 - -329. Let u = 294.3 + q. Which is the second smallest value? (a) -5 (b) u (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4890.4 rounded to the nearest ten?\nAnswer: 4890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 119. Suppose 130*v + 25 = q*v. Let k be ((-6)\/(-1) + v)*0. Solve -3*x + 5*x - 2 = k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2347*k**2 - 799*k**2 - 2*k**3 - 805*k**2 - 811*k**2.\nAnswer: -2*k**3 - 68*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (19 + -1)*-2 - -4. Let u be (-45)\/(-30)*b\/(-6). Suppose 5 = -t + 3*k, -5*k + 24 = 4. Solve u = 4*v - 2*i, 2*v - t*v + 16 = -4*i for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 43 = 4*v + 12, -4 = -v - j. Let t(b) = -b**2 + 8*b + 9. Let d be t(v). Solve -2*z - 5*h + h - 18 = d, 0 = 4*z + 2*h + 24 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2\/11 + 46*y\/11 + 4 = 0. Calculate y.\nAnswer: -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/85704 and -47\/157124?\nAnswer: 942744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101067763.\nAnswer: 367, 275389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o - 4545*o**2 - 56 + 4541*o**2 + 0*o. What is h(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 18*z + 472. Let h be i(-26). Solve -17*p = 64 + h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2971 - 2725.2. Let q = 246 - g. Let a = 5 + -7. Put -0.3, -2\/13, q, a in ascending order.\nAnswer: a, -0.3, -2\/13, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2916*l + 77645 - 77645.\nAnswer: 2916*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1735047.\nAnswer: 3, 179, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 561 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (3\/14)\/((-76)\/(-399)*-3)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-94.\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1934*d + 6598 = -39818 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + c + 0)*(5 + 4 + 0)*(0*c + 6*c - 4*c) to q + m*c**2 + o*c and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 2\/11, 3, -19, -3.52?\nAnswer: -3.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11083 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/72*(19595 + 3 + 0). Let h = y - -12279\/5. What is the common denominator of 87\/8 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23\/7 - 193\/63. Let r be (-3)\/(-60) - (-1)\/(-4). What is the nearest to b in r, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 189, -2\/11, 9, 7384 in descending order.\nAnswer: 7384, 189, 9, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 13. Suppose -d*w + 18 = -6*w. Let t = 4 - w. Sort 0, t, -1 in ascending order.\nAnswer: t, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 20 = t. Let h = t + -5. Differentiate 0*z - 1 + h*z - 3*z with respect to z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1822 is divided by 303.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -19, 691, 858, 3, 2 in ascending order.\nAnswer: -19, 2, 3, 4, 691, 858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 14205251?\nAnswer: 14205243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -1\/4 (c) 441\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 20 = -4. Let h(n) = -2 + 5*n + 5*n**2 - 1 + 2 - 4*n**2. Calculate h(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 174*g*w**2 - 2*g*w + 2*g - 8*w wrt w?\nAnswer: 348*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 31*c**5\/30 + c**4\/3 - 66*c**2. What is the second derivative of o(l) wrt l?\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uj when two letters picked without replacement from jjjjujjjuu?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20196104?\nAnswer: 2, 607, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 337*r**2 + 2*r + 45?\nAnswer: 674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - 6. Let k(o) = -4*o**2 - o + 13. Give -5*f(i) - 2*k(i).\nAnswer: -2*i**2 + 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -a + 12, -b = 2*a - 65 - 4. Calculate the remainder when 2025 is divided by a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -5.9. Let k = 8 - j. Let y = 2.5 + 0.5. What is the second biggest value in -1\/3, y, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (2 - 0)) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/5 and -27\/35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 713.9 + -714. Which is the closest to 0.3? (a) -2\/9 (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 5*l**3\/3 - l + 3. Let j be o(1). Find z, given that 0*z + 1\/3*z**2 + 1\/3*z**3 - 1\/3*z**5 + 0 - 1\/3*z**j = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108304882 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 4*s**2 + 4*s - 2. Let x(n) = n**2 + n + 1. Let w be x(-2). Suppose 0 = w*r + r - 8. Suppose o = -r*o + 6. Give y(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18.978 - 21.478. Let h be (-12)\/21*7\/(-10). Which is the third smallest value? (a) o (b) h (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(2\/11)*i*i\/i**(-2\/3)*(i\/(i\/(i*i**(-1))*i)*i)**(2\/7) assuming i is positive.\nAnswer: i**(115\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 4 (c) 3 (d) -0.097\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.049*-56.5\nAnswer: -2.7685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*y - 2*y - 3*y + (2*y + y - y)*(-3 + 3 - 1) - 5*y + 5*y + y + 3*y - 2*y + y + 7*y - 23 + 23 + (3 + 1 - 2)*(-2*y + 0*y + 0*y).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, 0.3, 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/(-304) + (172716\/(-57))\/(-1) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggbnneengennbynhn. Give prob of picking 1 b, 1 y, and 1 g.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201 = 5*i - 2*n, -i - 2*n = -4*n - 37. Calculate the greatest common factor of i and 246.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, t: 2, n: 8, d: 3}. Give prob of picking 1 x, 1 d, and 2 t.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.3? (a) 27 (b) -13 (c) -2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4718 + 11224. Let z = n + -3849. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 6:43 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.927 + 0.173. Let k = 22 - i. Suppose 4*u + 0 + 4 = 0. Which is the nearest to u? (a) -4 (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 - 44 = 31*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (33*(-3)\/42)\/((-7)\/(-14)). Is -5 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, i: 5, m: 3}. What is prob of sequence immm?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/4 + 947*f\/2 + 946.\nAnswer: (f + 2)*(f + 1892)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -f + 2096, -6*h - 2098 = -f - 11*h. Is f a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 10 + 16 - 4 - 3 + 3*t. Let a be k(-5). Calculate the greatest common divisor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 26 (c) -1 (d) 195\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 1 - 90)*129\/(-12). Suppose p = 10*n - 2751. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -488b4a (base 16) to base 7\nAnswer: -55260534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, e: 3, l: 1, t: 1, b: 1, s: 5}. Give prob of picking 3 e.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 625697162 to the nearest integer?\nAnswer: 25014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22101276 to the power of 1\/2, to the nearest integer?\nAnswer: 4701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a kilogram in grams?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((20 - 10) + -21 - -3) + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -1500.\nAnswer: 1\/500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4654268 (base 9) in base 2?\nAnswer: 1001100110010000100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, q: 1, d: 1, c: 1}. Give prob of sequence dq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 28*q + 4554 = 0. Let t = -3 + q. What are the prime factors of t?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11926, 95275, 321498, 762031, 1488310, 2571771, 4083850?\nAnswer: 6095983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, x: 2}. What is prob of sequence ox?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5853*s**3 - 6182*s**3 + 18*s - 20*s - 17 + 47*s**2 wrt s?\nAnswer: -72210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 148*f + 13964. Let n(x) = 81*x + 6983. Calculate -11*n(s) + 6*y(s).\nAnswer: -3*s + 6971","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 9 + 45 = 0. Let l(v) = -20*v + k*v + 17*v. Let m(d) = 4*d**2. Calculate l(m(b)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 724*m - 722*m + 24 + 20 = b, -3*b = 3*m + 84 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*o + 20. Let i be 2 + (5 + 0)*o. Suppose 0 = -2*d + 4*n + 32, -5*n - i = -3*d + 23. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*60\/(-110).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*3.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 241 = 93*u, -4*s - 1479 = u - 1521 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -525, -1415, -2643, -4215, -6137, -8415?\n\"Answer: -v**3 - 163*v**2 - 394*v + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1474*c - 56 = 1467*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 10096 (c) -90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -102, -153?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/6)\/2)\/(6\/(-4))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -h - 536. Let t = -64 + h. Suppose 0 = -3*l + 7*l + 2*v - 80, 4*l - 3*v = t. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -0.4, -224 in ascending order.\nAnswer: -224, -4, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 71*i**2 - 5*i - 60. Let u(s) = 35*s**2 - 3*s - 29. Let z(b) = 9*u(b) - 4*w(b). What are the prime factors of z(-4)?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 12, -3*l = -3*b + 11 + 124. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -86*v - 14*v + 200. Solve o = 3*x + 10, -x + 19*o + v = 16*o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27201830.\nAnswer: 2, 5, 2720183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h**3\/3 + 3*h**2\/2 + 4*h - 1. Suppose 2 = -0*x + x, -29 = 3*f + 2*x. Let a = f + 15. Determine l(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j - 17. Give w(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3 - 36408*b**2 + 168105210*b - 21877168300 = 0. Calculate b.\nAnswer: 134, 9035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -9 - (151 - 122)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10012120210 (base 3) in base 2?\nAnswer: 1111011010010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1 + sqrt(405))**2 - (sqrt(560) + sqrt(35))\/sqrt(7)).\nAnswer: -1624 - 52*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 139021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10320, 20642, 30964, 41286?\nAnswer: 51608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.964509.\nAnswer: -1.929018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 37*k**3 + 6*k**2 - 8*k - 2. Let f be l(2). Suppose -5*i + 228 + f = 0. List the prime factors of i.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*(2 + sqrt(2) - sqrt(2)) - sqrt(2))**2.\nAnswer: -12 - 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29194*z**3 - 3*z**2 + 1929 wrt z.\nAnswer: 175164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + t + 204, 5*z + 5*t - 280 = -0*z. Calculate the least common multiple of 2 and z.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, f: 2}. Give prob of sequence fs.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 104490.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4480501817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 3:46 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5163 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 + (-2 - (1 + -3)) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1730500 divided by -865250\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5)\/7)\/(216\/(-504)))\/(-1*6\/36).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, -1, 20 in decreasing order.\nAnswer: 20, 1, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*f = -3*p + 9, -2*p - 5*f - 93 = 0. Let h = p - -39. Let m(x) = x**3 - 6*x**2 - 8*x + 7. Let q be m(7). Solve -h*t = -5 - q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v - 278. Let u(s) = 8*s**2. What is r(u(c))?\nAnswer: 16*c**2 - 278","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4612102 a multiple of 638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 339 + 6a?\nAnswer: 3a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(429) - sqrt(429)*-2) - sqrt(429))\/(sqrt(11) + (sqrt(539) - sqrt(539)*-1) + sqrt(11)))\/(-1*sqrt(6)\/sqrt(2) + sqrt(12)*1) + -4.\nAnswer: -4 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 14*p**2 - 30*p + 22. Let h be c(16). Let b = 168 - h. Is 36 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i - 552*i**2 + 69*i**2 - 135654 + 135653 + i**2 + 0*i**2 + 0*i**2 + (0*i - i + 0*i)*(i + 1 - 1) - 4*i**2 + 6*i**2 - 4*i**2.\nAnswer: -485*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 31 - 6 + 6*o - 58 - 19.\nAnswer: 6*o - 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10830 less than 12102.87?\nAnswer: 22932.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -229, 165, 549, 917, 1263?\n\"Answer: -i**3 + i**2 + 398*i - 627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/sqrt(48) + (sqrt(17)*-1*4)**2.\nAnswer: sqrt(17)\/2 + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -0.54 (b) 1.1 (c) -11\/8 (d) 0.1 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 99 = -438. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 h, and 1 f when four letters picked without replacement from {g: 1, a: 5, f: 3, b: 2, v: 1, h: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 28. Suppose o*h - 3 = -7. Let x(u) = -12*u - 1. Let a(f) = -2*f. Let w(t) = -11*a(t) + 2*x(t). Let b(r) = -r - 1. Determine h*b(p) + w(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + -10222?\nAnswer: -11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 722\/4*47*(-720)\/(-107160).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3313 + -1985. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 23*i**4 - 19*i**2 + 41*i**2 + 27*i**4 + 4*i**3 - 13*i**2 to a*i**3 + h*i + d*i**2 + g*i**4 + b and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -142, -140, -136, -130, -122, -112, -100?\n\"Answer: z**2 - z - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -8 + ((-33536)\/528)\/(-16)\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/72*-2 + (-1207)\/4260. What is the second smallest value in 14.8, -2\/11, 2, b?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 415789 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 12775 + 2405 = 0. What is the highest common factor of f and 792?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -478 (base 10) in base 12?\nAnswer: -33a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -70*v + 4. Let q = 25 - 31. Let m be (-3)\/((q\/4)\/(-1)). What is the units digit of p(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**20*f**(-21) assuming f is positive.\nAnswer: 1\/f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2403.002083 - 2403. What is z rounded to 4 dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 12592.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.437 to 2 dps.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3780 and 28035.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -19, -7\/6, -1\/3, 3, -0.31?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-4) - (-19)\/44?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -60\/31?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**5\/20 - x**4\/2 - 5*x**3\/6 - 3*x**2 + x + 25. Let y be -2 + 9 - (-1 + 1). What is b(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 757696 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((275\/(-132))\/(-5))\/((-130)\/884).\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 10532253.7 to the nearest one thousand.\nAnswer: 10532000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 24 - 36 = 0. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -140 - -145. Suppose 0 = 3*f + 2*m + 4, -3*f - 3*m = -6*m - 21. What is the third derivative of -6*o**2 - q*o**2 + 16*o**f + 10*o**5 wrt o?\nAnswer: 600*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 10 = 5*b. Is (17 - 11)\/(195\/(-98) - b) a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 - 16*t + 2. Let h be n(8). Suppose -z - 1205 = h*l, z = -5*l - 2*z - 3011. Let j = 1327 - l. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.802 - 0.462. Let i = 0.36 + p. Round i to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16781096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -19 (b) -2 (c) -2.44 (d) 3 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/5)\/r*r*r**1*(r**(2\/3))**9 assuming r is positive.\nAnswer: r**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -g - i + 38, -3*i = -g + 5. Suppose 13*p = g*p + 273000. What is p rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 214 - 2?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5423 to 2 dps.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4957 divided by -76817?\nAnswer: -4957\/76817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 804170, 804172, 804184, 804212, 804262, 804340?\n\"Answer: v**3 - v**2 - 2*v + 804172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 7. Let g(z) = z - 1 + r*z - 4*z. Let q(j) = 13*j + 5. Let v(k) = -6*k - 2. Let a(s) = 3*q(s) + 7*v(s). Determine 3*a(l) + 2*g(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (60\/8)\/5*2. Solve 2 = k*f - 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312, -306, -298, -288, -276?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1 = 3. Let z be (x\/3)\/((-1)\/3). Let i be (-2)\/(-2) + 1 + z. Solve i = -6*c + c + 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 27, 0 in decreasing order.\nAnswer: 27, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-2))\/b*b*b**(-5))**0\/(((b\/b**3*b*b)\/(b\/b**(-6)))\/(b\/(b*b**(2\/7)))**(2\/33)) assuming b is positive.\nAnswer: b**(1613\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*c + 4*c - 159, 2*j - 383 = -5*c. Let y = c - 54. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hguj when four letters picked without replacement from {u: 1, h: 2, j: 1, i: 1, v: 1, g: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 2*v + 49. What is the lowest common multiple of q(-7) and 21\/2*8\/6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0.3. Let v be (-14 - -13)*(0 - (-3)\/15). Which is smaller: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2.3, 5, -2, 4, 2\/3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2015.389um to centimeters.\nAnswer: 0.2015389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*q + 1626 - 4398. Suppose -q*a = -61*a - 935. What is the remainder when a is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -165099\/26 + 6351. Let b = 73\/1901 - 230751\/19010. Find the common denominator of u and b.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 80*w**3 - 2*w + 2. Let n be b(1). Does 21 divide (((-56)\/6)\/2)\/(n\/(-3600))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + t**2 - 1. Let o be p(0). Let l be (-19)\/(-4) + o\/(-4). Suppose 2*a + a = 3*h - 18, h - 26 = l*a. Solve 3 = n + h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**3 + 0*p**3 + 2*p**3 - 2*p**3 + 5*p**2 - 5*p**2 + (-2 - 3 + 3)*(2*p**3 - p**3 + p**3) + 10*p**3 - 5*p**3 + 11*p**3 + 5*p**3 + p + 1 - 4 - 3*p**3.\nAnswer: 14*p**3 + p - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3882 rounded to two dps?\nAnswer: 1.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 203696764487 and 0.08.\nAnswer: 203696764487.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 42498603 divided by 79\nAnswer: 537957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 5 - ((-1 - 0) + 8)) + 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18903 - -18905.0459. Round f to one decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0.3. What is the closest to 1\/3 in c, -4, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 10 = 4*v, k + 2*k = v + 4. Sort -3\/4, -2, v in descending order.\nAnswer: v, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b = -13*b + 38*b + 3*u - 36, b - 5*u = -4 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62852 (base 9) to base 13.\nAnswer: 15b8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -2. Let t(h) = 5*h - j*h**2 - 6 + h + 2*h**2. Suppose -5 = -p + 5*r, -2*r = -p - 4*r + 5. Give t(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**3 - 6*d**2 - 7*d + 6. Let v = -18 + 5. Let i(f) = -9*f**3 - 13*f**2 - 15*f + 13. Let w(n) = v*s(n) + 6*i(n). What is w(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 20 = 6*o. Suppose p + 119 = 5*p - u, 0 = o*p + u - 151. What is the highest common divisor of p and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 20 = 5*n. Let b be -9*(0 - -4)\/(-12) - n. Solve 0 = -b*i + 5 + 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b. Let k(w) = 195*w - 6. Suppose -3*x = -5*y + 4, -1 + 2 = x - 4*y. Let h(s) = -196*s + 4. Let c(m) = x*h(m) - 2*k(m). What is a(c(u))?\nAnswer: -594*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0531 + 302.9469. Let k = -303.0000026 + b. What is k rounded to 7 decimal places?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67 - -130. Suppose 4*j - 82 = 14. Calculate the remainder when k is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2521*p = 2513*p. Solve -5*n - 2*y - 14 = p, 3*n - 5*y = n + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32140296 divided by 8035074.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -3*c + v, 2*c + 41*v - 49*v = 58 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 72 = -2*s, -2*s - 3*r = -0*s + 79. Let i = s + 23. Let y = 19 + i. Does y = 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w - 5. Let s(r) = -4*r + 11. What is -6*s(l) - 13*u(l)?\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = -5*p + w, 4*p = 2*w + 3*w - 57. Let b = p + 30. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 3:07 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*z - 1772 + 2432 = 0 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 532082 + -452700110.\nAnswer: -452168028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(0*h + 4*h - 2*h) + 6*h - 2 + 0*h - 2*h - 1 + 6 + 3*h + 18*h.\nAnswer: 27*h + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3125, 6213, 9313, 12431, 15573, 18745?\nAnswer: 21953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 636*f + 350*f + 52*f - 118*f + 92*f + 360*f.\nAnswer: 1372*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*g - 16158 - 3346 = -805 for g.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y. Let l(p) = -382*p + 6. Give t(l(j)).\nAnswer: 1146*j - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - f - 10 - 41 = 0, 3*r - 2*f - 42 = 0. Solve 0 = -2*d + 4*d + 3*a - 13, 3*d - 3*a = r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 129511*-57\nAnswer: -7382127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 225?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 9*t = -1946. Let b = t + 626. What are the prime factors of b?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, 34\/5, -1\/7, 2\/13, 31, -14?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -151 + 155. Suppose 101 - 29 = s*m. Let i(a) = a**3 - a**2 - 4*a + 7. Calculate the remainder when i(5) is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*g - 2*r + 63, 20 = g + 4*r. Let y = g - 16. Let j(t) = -4*t + y*t + 3*t. Let x(a) = -a**2 + 3*a - 1. Calculate -3*j(l) - x(l).\nAnswer: l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 67\/5 of a gram?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -8*o + 3. Let f be 30 + -2 - (-1 - (-4 + -1)). Let x be (-2)\/8 - (78\/f)\/(-1). Suppose -3*j + 0*j + 16 = -4*s, -11 = -x*j - s. What is h(j)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from xoffnnofnfxonxofnff.\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 6:09 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -174 - h + 174 - h**3 + 5*h**4 to the form v + y*h**3 + m*h**4 + c*h**2 + q*h and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.8 + 9. Let h = w + -4.2. What is the closest to -1\/2 in 6, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 74*l + 3181. What is the tens digit of m(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.94 * -18033\nAnswer: -71050.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4.819 and 1?\nAnswer: 3.819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -394 and 89.\nAnswer: -35066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.062 + 0.938. Let s = -0.02 - 1.98. Let o = -0.04 - 3.96. What is the second smallest value in o, q, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2448)\/(-16)*(-2)\/(-6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170 + 2*x + 170 - 4*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i + 33. Let q be a(15). Suppose 4*m + 2*t = 90, q*t - 35 = -m - m. Suppose -p = 4*p - m. Solve -p*x + 3*x = -10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-15\/2))**(8\/15)\/(r*r**25*r*r*r**7) assuming r is positive.\nAnswer: r**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*z - 38*z + 9*z)*(2 + 2 - 5 + (3 - 2 - 3)*(-5 - 2 + 2)).\nAnswer: -162*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 3*s - 33, 63*i - 60*i - 5*s - 32 = 0. Sort -0.1, 1\/92, i in increasing order.\nAnswer: -0.1, 1\/92, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 378 = 3*c. Suppose o = 24 + 8. Let j = o - 21. Calculate the remainder when c is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 662*r**5 + r**4 - 4*r**3 - 553780*r**2 wrt r.\nAnswer: 39720*r**2 + 24*r - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 + 52. What is the nearest to 7 in -5, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10485*y**3 - y**2 + 42*y + 51.\nAnswer: -62910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11137 - 11135. Solve -4*n - 5*o + 19 = -2*n, -v*n + 1 = -o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-665)\/2584 - 8\/68. Let u = -0.5 - 0. What is the second smallest value in 5, u, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18507 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 465 = -2*u. What is the common denominator of -83\/14 and (-2)\/4*u\/(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 92.6 + 0.153754.\nAnswer: 92.753754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2. Let v(z) = -28 - 162*z + 7 + 8 + 1. Let s(m) = -2*m - 1. Let g(n) = 12*s(n) - v(n). Determine p(g(c)).\nAnswer: 38088*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.018, -4, 10\/11 in increasing order.\nAnswer: -4, -0.018, 10\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*g**2 + 302*g**2 + 326*g**2 + 971*g**2.\nAnswer: 1316*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 8 = -1. What is the smallest value in h, -5, -1\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 61*z**2 + 82*z - 55. What is the hundreds digit of w(62)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (225 - 215) + (2 - 2 - 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -699*i - 693. What is v(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 355\/497*(-105)\/(-225)*1\/(19\/9)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-89)\/((-33108)\/2108)*-3.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6585 is divided by 387.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 1446 = m - 116, 15 = 3*t. Is 32 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 - 55. Calculate the greatest common divisor of 30 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 3 - (4 - 9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2006 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 22220022111012 (base 3) to base 5\nAnswer: 2202330413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -190*y - 4 + 6 - 2 to l*y + d and give l.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**2 + 3*u + 2. Let q(v) = 4*v + 4*v**2 + 2 - 1 + 2. Let a(g) = -3*m(g) + 2*q(g). Find the second derivative of a(f) wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446406?\nAnswer: 2, 3, 47, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-19)\/(v*v**0\/v) assuming v is positive.\nAnswer: v**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 6:38 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -g - 2*b + 151, 3*b = 4*g - 1012. Round g to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*f + 4*l - 20, -5*l = f - 17. Calculate the common denominator of (f\/(-30))\/((-24)\/(-20)) and (54\/100)\/((-6)\/5).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-16 + 12)) + 3 + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 - 2*u - 3. Suppose -197 = 7*y - 50. Let g = y - -27. Is a(g) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 400, 399, 398, 397?\n\"Answer: -u + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3335\/276 + (-4)\/(-6). Which is smaller: d or 13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*o + 469 = 97, 4*o = -3*u + 279. Suppose -4*d - 2*k + 480 - 126 = 0, 0 = -d + k + u. Suppose -5*x = -d - 10. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 1 (c) -1062\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-1 - -17 - 330\/11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(660)\/(sqrt(44)\/sqrt(4)) - sqrt(7260)*3)\/(-6*-2*sqrt(1452) - (((sqrt(1452) + sqrt(1452)*1 - sqrt(1452)) + sqrt(1452))*-1 + sqrt(1452))).\nAnswer: -32*sqrt(5)\/143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((17\/30)\/(-17))\/(12\/30)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 19*x**2 - 43*x - 19. Let s be v(-21). What is the second derivative of 90*r - 10*r**2 + 11*r**2 + 2*r**s + 4*r**2 wrt r?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5600) - 2*sqrt(5600))\/((sqrt(8) - (sqrt(8)*1 + sqrt(8)))*4 - sqrt(8)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2067\/10 - -40369\/195. Let s = r - -1\/78. Which is the second biggest value? (a) s (b) -5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 6 + 3 + 10 - 2 - 1 - 1 + 0 + (1 - 2 + 3)*(0 - 2 + 4))*(-920*c + 451*c - 9 + 371*c) as t + u*c and give u.\nAnswer: -1078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (525\/14)\/(-15)*(-6)\/(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 516\/26 - (-218)\/1417. Put x, 0.3, -1\/3 in increasing order.\nAnswer: -1\/3, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -182 times 3.5?\nAnswer: -637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*h + 6*h - 320. Let b be (-24)\/476*h + (-10)\/85. Factor b*m**2 + 6\/7 - 8\/7*m.\nAnswer: 2*(m - 3)*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1638248?\nAnswer: 2, 204781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1954, 7935, 17912, 31891, 49878?\nAnswer: 71879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 177*l + 2651. What is m(0)?\nAnswer: 2651","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -4071\nAnswer: -407.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28.35 - 518.96.\nAnswer: -490.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -221*g**2. Let l(u) = -8*u. Let d(z) = 3*z. Let y(f) = -4*d(f) - l(f). Give y(s(n)).\nAnswer: 884*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 4:50 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3854*g**3*i + 118*g**3 + 3*g**2*i + 108*g**2 + 637*g*i wrt g.\nAnswer: -23124*i + 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2. Let s = -13 - -18. Suppose 5*w - 15 = s*u, 2*u - 3*w = -7*w + 24. Let m(h) = -h**u + 2*h**2 + h**2. What is p(m(b))?\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2478 and 2722062.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 182*r - 2875. Calculate h(15).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -1536783*p + 15367831. What is v(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23362.\nAnswer: 2, 11681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(500) - -2*sqrt(500))\/sqrt(10))**2.\nAnswer: 120*sqrt(2) + 466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*p + 11*p - 5*p - 15 to z + h*p and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-50)\/4)\/((-1)\/2). Suppose -965 = w*m - 5690. Calculate the greatest common factor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24396159 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 234 or 220?\nAnswer: 234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -20393 - 20388 - 9580*m + 40781 as n + o*m and give o.\nAnswer: -9580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/5 - 8*j**3\/5 + 2*j**2\/5 + 12*j\/5.\nAnswer: 2*j*(j - 3)*(j - 2)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 + 4*u + 3. Let c be z(-3). Suppose 4*x - c = x. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {w: 1, n: 5, a: 3, t: 3, c: 6}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*j - 27. Solve 3*d - 3*l + 2*l - 15 = 0, -d + j = 2*l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 810 = -k + 4738, 22141 = 4*k + 5*p. What is the greatest common factor of 764 and k?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 9*r**3 - 6*r**2 - 18*r - 262. Is o(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - k + 6 = -3, 9 = x + 5*k. Suppose -3*z - 8 = -x*z - 4*i, 2*z = i + 7. Solve a = -z + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z - 3477*z**2 - 8*z + 19*z.\nAnswer: -3477*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 13*b**2 - 7*b + 5. Suppose 53 = 11*y - 178. Suppose -m - 10 + y = 0. What is the tens digit of w(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -11*j**3 + 7*j - 19. Let u be ((-7)\/2)\/((-1)\/(-2)). Let q(z) = 12*z**3 - 6*z + 19. Let f(k) = u*q(k) - 6*p(k). Differentiate f(b) with respect to b.\nAnswer: -54*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -25\/3, -2\/7, 0.3, 4\/9, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 + -55. Is 18 a factor of (40\/24)\/(n\/(-48))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -15. Let t be 3*(-16)\/132*2\/4. Which is the third smallest value? (a) t (b) 3\/5 (c) y (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 121*t**2\/2 + 63. Let u(o) = -o**2. Determine m(u(c)).\nAnswer: -121*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 285*n**3 + 18*n**2. Let k(u) = 15*u**3 + u**2. Let o(w) = 117*k(w) - 6*x(w). What is the third derivative of o(g) wrt g?\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 3*f = 14, -147*o - 2*f = -152*o - 15 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290735?\nAnswer: 5, 58147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 z, and 1 h when three letters picked without replacement from vkvzzkkvzkhkzhv.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3 = 0, 4*q + 266*f + 263*f - 24 = 533*f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -145*h + 455*h + 1 - 176*h - 3*h**2 + 6*h**3 - 182*h to d*h + u*h**2 + f + t*h**3 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*i + 6*i + 25324. Let z = i - -979. Let s(v) = 4*v**3 - 4*v**2 + 3*v + 6. Let q(n) = -3*n**3 + 3*n**2 - 3*n - 5. What is z*s(u) + 6*q(u)?\nAnswer: 2*u**3 - 2*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 5*q**2 + 4. Let u be w(5). Solve -u*o + 5 = 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 299.5718 decades to years.\nAnswer: 2995.718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 12*f**2 + 11. Let n be a(12). What is the highest common divisor of n and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14217731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3692 and 5964?\nAnswer: 77532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 - 67648*q + 135296*q - 67648*q.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/13)\/(i*i**(-4\/7)))**(-44)\/((i\/(i*i\/(i**(3\/5)\/i))*i**5)\/(i\/(i\/(i**(2\/5)\/i*i)))**37) assuming i is positive.\nAnswer: i**(10596\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 1. Let h(l) = 9*l**2 - 3. Let q(j) = h(j) + 3*p(j). Let m(i) = -i. Determine m(q(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 75*y**2. Let b(x) = -20*x**2. Determine t(b(r)).\nAnswer: 30000*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -82 - -78 - (2 + -13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -116b (base 12) to base 3\nAnswer: -2200102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-22)\/w**(1\/4)*(w**(-2\/51)\/w)**(-1\/35))**40 assuming w is positive.\nAnswer: w**(-317306\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.52 - -3.32. Suppose -2*x + 3 = x. Let o be (3\/(-3))\/(0 + x). Which is the nearest to v? (a) o (b) -2\/17 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -345 + -261. Let n = a + 1132. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -530*l**5 - 706*l**6 + 530*l**5 - 110*l**3 - 792*l**2 + 110*l**3 wrt l?\nAnswer: -84720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 183 = 43. What is the highest common factor of r and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8582 - 8565. Solve j*w + 255 = -34*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 880 (base 14) in base 4?\nAnswer: 122100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -502, 5, -0.2, -531 in ascending order.\nAnswer: -531, -502, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 7*j - 2*n - 83, -5*n - 63 = 4*j. Let z = 37 + j. Solve q - 2*l = l - z, -5*q + l - 30 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*c + 11 = -3*m, -4*c = 4*m - 20. Solve 0*f + m*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -245*l + 1. Let n(c) = 1. Let u(w) = i(w) - 5*n(w). Let h be u(-2). Let o = h - 219. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) 5 (c) 0.1 (d) -4 (e) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from udcdcuccdcdcucdc. Give prob of picking 1 c and 3 d.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(0 - -6 - 3). Let d = 0.2 - 0.7. What is the second biggest value in d, m, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 992.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -9*p - 10. Calculate the remainder when l(-8) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r - 30 = 22 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-2*6 - ((sqrt(99)*3 + sqrt(99) - sqrt(99))*-4 - sqrt(99)))\/((-1*sqrt(4032))\/(sqrt(77)\/(sqrt(11)*2))).\nAnswer: -sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 5*p**2 - 5*p - 8. Let d = -217 - -232. Calculate the remainder when o(-6) is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6599 = 15*x + 1846. Let j = 588 + x. Calculate the remainder when 597 is divided by j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -406513825.73 less than 3.9?\nAnswer: 406513829.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-48)\/48)\/(4957\/2479 + -2) a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -15*k**4 + 9*k**3 + 156*k**2 + 144*k + 24. Let u(h) = 15*h**4 - 8*h**3 - 157*h**2 - 142*h - 24. Let p(l) = -3*u(l) - 4*y(l). Let p(b) = 0. What is b?\nAnswer: -2, -1, -1\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 1:14 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 5\/6*w + 5\/3*w**2 + 5\/6*w**3.\nAnswer: 5*w*(w + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 + 18*w - 18. Let z be y(-10). Suppose -z*l + 15 = -37. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2. Let q(f) = -f. Let v(r) = 2*r. Let p(t) = -3*q(t) - v(t). What is s(p(c))?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178, -338, -498, -658?\nAnswer: -818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*l**3 - 4*l**5 - 23*l + 3*l**5 - 15*l**4 + l**2 + 15*l**4 wrt l.\nAnswer: -60*l**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 484.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**4 + 6*g**4 - 2*g**4 + (g + 0*g - 3*g)*(-2*g**3 + g**3 - 2*g**3))*(0*g - 4*g + 5*g + (2 - 3 - 3)*(-75*g + 92 - 92) - 3*g + 11 - 11).\nAnswer: 2384*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and -0.07.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(-24) - (-839223)\/56?\nAnswer: 2, 59, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*q**3 + 15*q**2 - 43*q wrt q.\nAnswer: 18*q + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + n - 2*n - 3 = 0, 5*z + 5*n = 35. Suppose -5*y = p - y - 26, z*p = -y + 66. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nzsgttztszgzzz. Give prob of sequence sst.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 972 = d + 970, -2*d - 3*c + 24 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218 a factor of 17432016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 5*p**2 - p - 13. Let m be v(4). Let b(s) = -3*s**3 + 6*s**2 - 5*s + 4. Let j(y) = -y**2 + y - 1. Give m*b(r) - 5*j(r).\nAnswer: 3*r**3 - r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a century?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 277816 divided by 41?\nAnswer: 6776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/((-7805)\/670328) + 1\/(-5). Let t = j + -601. Is 1 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 6.4552863.\nAnswer: 6.4552863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 533105015 (base 6) to base 8.\nAnswer: 43635343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -1378058.\nAnswer: -551223.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + -50 + (-6 - 0 - (20 - -46))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1642, -3281, -4920, -6559?\nAnswer: -8198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 39761756 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26669157?\nAnswer: 3, 8889719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -780 greater than or equal to -794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (206\/6 + -1)\/((-4)\/(-778800)). Round j to the nearest one hundred thousand.\nAnswer: 6500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -6. Let b be (1\/2)\/(p\/12). Differentiate b*i**2 + 1 - 5 - 1 with respect to i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -11*i**7\/210 + i**4\/24 + 9*i**3 - 3*i**2 - 6*i. Differentiate l(t) with respect to t.\nAnswer: -44*t**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {e: 10, f: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -234 in increasing order.\nAnswer: -234, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4704856 and 3952.\nAnswer: 9409712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*r, 3*r + 6 = 2*j - 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 26*k**3 - 6*k**2 + 3*k - 5. Let h be n(4). Suppose -142 = -t + 2*q + h, -4*t + 4*q = -6852. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -139*p - 244*p - 130*p + 223*p as d + c*p and give c.\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 182\/27 - 179\/27. What is the smallest value in o, -41\/4, -5?\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 16 = 39. Let j(g) = -2*g - 7. Let r(x) = 2*x + 8. Let y(h) = -7*j(h) - 6*r(h). Let w(q) = 5*q + 3. Give m*y(i) - 4*w(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -1 + (-26 - -20).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 22. Sort j, 1\/5, -2\/11, -0.1 in increasing order.\nAnswer: -2\/11, -0.1, 1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkf when four letters picked without replacement from ffffkfffkffkkf?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, -11.8, -1\/6, 5\/6 in increasing order.\nAnswer: -11.8, -1\/6, -2\/21, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k - 12. Let t be v(-7). Suppose 0 = 3*i - 3. Let c(o) = 0 - 2 + 2 - i - 2*o. Give c(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -24. Suppose 0*j - j = -2*s - 70, -175 = 5*s - g*j. Let v = 37 + s. Solve v - 4 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6972 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -161 - -125. Let a = 44 - o. Calculate the greatest common divisor of 20 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shh when three letters picked without replacement from {v: 2, s: 1, h: 4, w: 7}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43887*n - 69061*n - 70521*n.\nAnswer: -95695*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 15) to base 11\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -330 + -11521?\nAnswer: -12251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162137?\nAnswer: 281, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -55 + 53 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 995106 + -287.019\nAnswer: 994818.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4167, 4174, 4185, 4200, 4219?\nAnswer: 4242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -680 + 45*z**3 + 154*z**3 + 674 to g + s*z**3 + b*z + j*z**2 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9984890 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 260809055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 278915813 a multiple of 2711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**2. Let t(d) be the second derivative of -10*d - 1\/2*d**4 + 0*d**2 + 0 + 0*d**3. Calculate r(t(a)).\nAnswer: 144*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -5. Let t = g + -4.9. Which is greater: 4 or t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9053.28 to the nearest 100.\nAnswer: -9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-3)\/12*1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 13, k: 2, d: 5}. What is prob of picking 1 k and 1 q?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - -17 - 17) + -9 + 15.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2129 and 1.18.\nAnswer: 1.431222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*c + 79, 2*g - 5*c = -7*c + 22. What is the greatest common factor of g and 688?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**4 - 3*n**3 - 2*n**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3103.\nAnswer: 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -9*v**3 - 4*v**2 - v - 1. Let f(c) = c - 4. Let t be f(1). Is n(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 38 - 50 = 0. Let z = 42 + -36.6. Let m = -5 + z. Which is the smallest value? (a) 0 (b) m (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 11 and -4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*x = -12. Calculate the common denominator of (-75)\/8 - (-8 - x) and -3\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - n - 1. Let w be o(-1). Let f = w + 1. Let z be (f + 2\/(-6))*-6. Solve -2*k = z*q - 4, -2*q + 23 = -3*q + 4*k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**3 - 4*z**2 - 2*z + 4. What is a(3)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 3 - 4 - 1. Let p(z) = z - 2. Let f(g) = -4*p(g) + 3*r(g). Suppose -5*c - 2*v = -10, -5*c - 5*v = -6 - 4. Calculate f(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 2*x - 3. Let q be m(3). Suppose 2*s + 4*j = 52, 0 = 5*j - j + q. Let i = s - 19. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 29*p - 116. Let u be g(8). Let j(i) = u*i - 229*i + 118*i + 4. Determine j(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168636877 less than 3?\nAnswer: -168636874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/3)\/(1\/(-3)). Let l(f) = -2*f**2 - 18*f + 1. Let d(n) = -7*n**2 - 72*n + 4. Let z(w) = -d(w) + 4*l(w). Let b(p) = -p**2. Calculate k*z(x) - 2*b(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -5 - (9 + -4 + -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9783371 is divided by 981.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10655, 22167, 33681, 45197?\n\"Answer: i**2 + 11509*i - 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 214*t**2 + 3179*t + 2181. Let c be j(-198). Let 2\/9*b**5 + 0 - 2\/3*b**c + 16\/9*b + 20\/9*b**2 - 8\/9*b**4 = 0. What is b?\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/13 - 1490*q**2\/13 + 291126*q\/13 - 5007222\/13.\nAnswer: 2*(q - 363)**2*(q - 19)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25726 - -27439. Calculate the greatest common divisor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 3 - 1 + 1 - 2 + (-2 + 0 + 3)*(0 - 3 - 1) + 0 + 4 - 3)*(-2*t**3 + 0*t**3 + t**3).\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24144, 24154, 24170, 24192, 24220?\nAnswer: 24254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 2*a + 5*a)*(0 - 5 - 33)*(0 + 0 + a).\nAnswer: -38*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 103660 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(0*f**2 - f**4 + 0*f**2) + 2*f**4 - 3*f**4 + 0*f**4 + 51*f**4 - 16*f**4 + 37*f**4 + (f + 0*f + 6*f)*(-f**3 - 3*f**3 + f**3).\nAnswer: 48*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 1)*(-2*g - 2 + 2)*(-5 + 0 + 4)*(4*g - 6*g - g).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b + 15*b - 35*b.\nAnswer: -36*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.4 (b) -1\/15 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (29\/58)\/((-1)\/(-3))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12087024 to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -1\/3, -1\/5, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + s + 12 - 29 = 0, 10*c - 49 - 70 = -6*s - 39 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50014 = 120*s - 97*s - 208599. Does 197 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -538*j**2 + 1614*j. Let x(v) = v**2 - 2*v. Determine s(n) + 807*x(n).\nAnswer: 269*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*(sqrt(1900) + 0) + sqrt(1900)*1 + -3 - ((sqrt(1900) - (sqrt(1900) + -1 + (sqrt(1900) + -2 - sqrt(1900)))) + 2 + -3)**2.\nAnswer: -2 + 70*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112638375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -4*x**4 + 14152*x**3 - 12172932*x**2 - 609906880*x - 6584010752 = 0.\nAnswer: -32, -16, 1793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1801 and -2.66.\nAnswer: -2.8401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b - 12. Let o(u) = -u**2 - 4*u - 3. Let h be (1\/(-2))\/(2\/20). Let m be o(h). Does 6 divide w(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -4. Let g(k) = 6*k + 5. What is the remainder when g(j) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3430508, -6860919, -10291330, -13721741, -17152152, -20582563?\n\"Answer: -3430411*n - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of f**4\/4 + 1034*f**3 + 1603734*f**2 + 1105507304*f - 1783. Let v(p) = 0. Calculate p.\nAnswer: -1034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**(-18)\/(d\/(d\/(d**(-5\/6)\/d))*d**(-3\/2)) assuming d is positive.\nAnswer: d**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/33 - 3\/((93654\/(-44))\/43). Let g = -0.04 + -0.02. Which is the nearest to 2\/5? (a) n (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, i: 3, h: 1, z: 1, p: 1, y: 3}. What is prob of sequence zphy?\nAnswer: 1\/2640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2591 + -2589. Let v be (-3)\/(-12) + 38\/8. Let w = v + -9. Put d, w, -2\/5 in ascending order.\nAnswer: w, -2\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4584315339?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 + 57 - p - 230 + 57 + 61.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8020, -31999, -71924, -127789, -199588, -287315, -390964, -510529?\n\"Answer: g**3 - 7979*g**2 - 49*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5783 + 679?\nAnswer: -510a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 2\/5, 3\/5, 22\/7, 1\/6, 27?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a8 + -8?\nAnswer: 1a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*m**3 - 2 + (-1184 + 11*m**2 + 1184)*(-m + 0*m + 2*m) - 2*m**2 - 3*m**2 + 2*m**3 + 4*m**2 to the form g*m**3 + y*m**2 + w + q*m and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251888360.\nAnswer: 2, 5, 6297209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 6:21 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 11 = o - 2*w, -2*w = -4. Let b = o + 35. Suppose -5*m + b = -43. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2774 divided by 13?\nAnswer: 2774\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4540914 by 55377.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -781104*i*m**3*w**2 + 3*i*m**3 + 476*i*m + 216*i*w + 2*i + m**3*w**5 - 4*m**3*w wrt w.\nAnswer: -1562208*i*m**3 + 20*m**3*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 472058 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**3 + 5934*m**2 + 4361292*m + 4355360 = 0.\nAnswer: -1630, -1336, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.377809 kilograms to micrograms.\nAnswer: 4377809000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen quarters of a week?\nAnswer: 32760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in -0.4, 0.1, -0.5, -16.4, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(8)\/sqrt(4)) - (sqrt(1216) - (-2 + sqrt(1216))))**2 + -1.\nAnswer: -4*sqrt(19) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*h, -c + 18*h = 15*h - 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.5, -174, 0?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 8 = 0, -3*c + 2*p + p = 57. Let w = c - -19. Let f(q) = 9*q**w + 4*q**2 - 19*q**2. Let x(m) = -2*m. Determine f(x(i)).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -509 in 2\/5, -0.2, 6.9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**5\/20 - z**4\/4 - 4*z. What is k(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(325) + -2 + 1 + (sqrt(13)*1*2)**2 + 2.\nAnswer: 5*sqrt(13) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 1477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 2124?\nAnswer: -2125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 d, and 1 o when three letters picked without replacement from khdkkkwkwkadkkhhkko?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*c = -25*c - 152. Solve 9*s - c = -44 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (53 - 53 + 19*z**2)*(-2 + 5 - 4) in the form a*z**2 + n*z + v and give a.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/3))**(-15))**(1\/31)*(i**(1\/7)*i*i**0)**43 assuming i is positive.\nAnswer: i**(10699\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 219984, 439271, 658558, 877845, 1097132?\n\"Answer: 219287*s + 697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -196.8800009901 - -196.88. What is f rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-10))\/((-13)\/130). Let f = -5 + 8. Solve -f = -d*t + t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i**3 + i + 1. Let g be s(-1). Suppose -7*a - 1164 = -1199. Calculate the least common multiple of (-270)\/(-35) - g\/(-14) and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83589, 83374, 83145, 82896, 82621, 82314, 81969?\nAnswer: 81580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13201 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133295.\nAnswer: 5, 53, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -43. Suppose -6*b = -n*b + 68. Suppose -116 = -2*i + 5*a, -2*i - a + 106 - 14 = 0. What is the remainder when i is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104561 is divided by 51289.\nAnswer: 1983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -116 + 145. Suppose -3*l = -4*l + h. List the prime factors of l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 797, 1589, 2377, 3161, 3941?\nAnswer: 4717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*((-9)\/6)\/(-3) + 4. Suppose -f*z + 68 - 53 = 0. Solve -2*t - z*t + 20 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-186)\/30)\/(12\/(-4380)). What is the greatest common factor of m and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 12 = 3*i. Is 14 a factor of i\/(-9) - (-273)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -85*f**3 + f**2 + 6*f + 3. Let u be s(-2). Suppose 0 = 4*b - b - 3*g - u, 2*b - 438 = -4*g. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*a**2 - 308*a + 26743?\nAnswer: 14*a - 308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6*p = 0. What is the least common multiple of 2 and 16 + (8\/2 - p)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3029998*p**2 + 6*p + 8. Let n = 271 + -272. Let l be y(n). Round l to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21455 (base 6) to base 7\nAnswer: 11465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64197280 divided by 1849.\nAnswer: 34720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3273813 is divided by 91?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + 0.1. Put w, 1, 2 in ascending order.\nAnswer: w, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jpjpbjijgb?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6074952 litres to millilitres.\nAnswer: 607.4952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -194\/7 - -28. Let t = -5 - 0. Which is the nearest to p? (a) t (b) 2\/19 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0317708 + 12.\nAnswer: 12.0317708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128 = 7*o + 86 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -7. Let y(q) = q**2 - 34*q + 169. Let t be y(37). Let k = -1121\/4 + t. Which is the nearest to 0.1? (a) k (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a micrometer in nanometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14.6 in 2, 3, 5, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -157 times -3552\nAnswer: 557664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1638 divided by -9\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3783, -3, 288 in decreasing order.\nAnswer: 288, -3, -3783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5641 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60048920 is divided by 357434?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 11616, 0, 19?\nAnswer: 11616","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(28)\/sqrt(4) - (sqrt(21) - 1*sqrt(21))\/sqrt(3).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 10:03 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-8))\/((2\/3)\/(864\/(-486))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14479, 13518, 10903, 5806, -2601, -15146, -32657?\nAnswer: -55962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9923000 rounded to the nearest 100000?\nAnswer: -9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 5535.76 to the nearest 10.\nAnswer: 5540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19814.326 times -1?\nAnswer: -19814.326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (1 + sqrt(1872) + 5 + sqrt(1872) - (sqrt(1872) + -1 + sqrt(1872)*-1)) + 2 + (5*sqrt(1872)*1 - sqrt(1872)*1*-1))*5)**2.\nAnswer: 57600*sqrt(13) + 2998800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1856, -1858, -1860, -1862, -1864?\n\"Answer: -2*x - 1854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10439 + -166947\/16. Let u = 27705388\/38115 + -6542\/9. Let z = -6267\/1694 - u. What is the common denominator of r and z?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 700 - 700.2. Sort 0.2, t, 34 in ascending order.\nAnswer: t, 0.2, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -39*g**2 - 1. Let s be w(-1). What is the units digit of (s\/14)\/(7\/(-49))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*k - 14622 = 6*k, -3*n = 2*k - 43910. Round n to the nearest one hundred.\nAnswer: 14600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.361708 micrometers to kilometers.\nAnswer: 0.000000000361708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 915847 to the power of 1\/2, to the nearest integer?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 16167802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnntnnttnnnnnnnn. Give prob of picking 2 t.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.1 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 2*r**2 + 3*r + 2. Let k be d(-2). Suppose -2*b = b + 2*w + 38, 54 = -5*b - w. Let u = b - -7. Are u and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72786677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18878 and 12?\nAnswer: 113268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-24)*(35\/(-25))\/(-7). Which is the third biggest value? (a) 1 (b) -4\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06454772 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 525728 by -4.\nAnswer: -131432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6108*a**3 + 3313*a**3 + 4739*a**3)*(4*a + 0*a - 3*a).\nAnswer: 14160*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 6*h - 7. Let q be n(7). Suppose -2*t - t - 6 = q. Let y = 4 + t. Solve -4*i = -x + 1 + 7, -4*i = y*x - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**4\/4 + 9*q**3\/4 - 3*q**2\/4 - 25*q\/4 + 9\/2 = 0.\nAnswer: -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*k - 6 = 0, l + l - 3*k = 15. What is the smallest value in -0.1, l, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167879941 a multiple of 2890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**4 - 3*v**4 + 0*v**4 - 5*v**4 - 2*v + 2*v + (-13*v**3 + 9*v**3 - 13*v**3)*(-1 + 2*v + 1).\nAnswer: -46*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*y**4 + 0*y**4 + y**4 + 0*y - 4*y wrt y?\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14414*d*h**3 - 3*d - 6957*h**3 - 47*h**2 - 23*h + 164 wrt h.\nAnswer: -86484*d - 41742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -89.2 * 0.2\nAnswer: -17.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002152254181 rounded to 7 dps?\nAnswer: 0.0000215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/15)\/(-1 + (-370)\/(-350))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4559.\nAnswer: 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7738.975s?\nAnswer: 7738975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + 0 + -3)*-6.\nAnswer: -60*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 211955 divided by 63?\nAnswer: 211955\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3*f - 4*f)*(51*f - 94*f**2 - 51*f).\nAnswer: 376*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-1883)\/245 - (-4)\/14.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -49*m - 438. Give x(-15).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -0.6, 8, 22, -0.4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556553458?\nAnswer: 2, 137, 2031217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4 - 8*k**2 + k**2 - 4 - 4*k. Let t(i) = -16*i - 76. Let j be t(-5). Let q(w) = 7*w**2 + 5*w. What is j*q(z) + 5*v(z)?\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2. Let s(c) = -5*c**2 + 10*c + 22. Let f(y) = s(y) - 6*u(y). Give f(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -145*x**4\/2 - 1375*x**2\/2 - 11*x + 17. Differentiate l(o) wrt o.\nAnswer: -1740*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqv when three letters picked without replacement from {c: 1, k: 1, g: 2, q: 2, v: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8425 - -8425.01. Sort 0, -2\/3, d, 4, -3\/7 in decreasing order.\nAnswer: 4, d, 0, -3\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/20 + (-22)\/(-5). Let v(t) = t**3 + 8*t**2 + 2*t + 25. Let q be v(-8). Is h equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 57*m - 734. Calculate o(64).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 53. What is the least common multiple of q and 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 393.7 times 25718?\nAnswer: 10125176.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24932144?\nAnswer: 2, 571, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*o**4 - o - 7*o - o**4 wrt o?\nAnswer: 108*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-2 + 0 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, p: 11}. What is prob of picking 1 z and 2 p?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 56645 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: Which is the second biggest value? (a) -0.052 (b) 7 (c) 5.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o + 90 = 14*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1328 - -3?\nAnswer: 132b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjtt when four letters picked without replacement from {t: 4, j: 10}.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1068 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.182, -0.06104, 6 in decreasing order.\nAnswer: 6, 0.182, -0.06104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -1\/8, 2 in ascending order.\nAnswer: -13, -1\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59183143 is divided by 7397891.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 r when three letters picked without replacement from jjjjrjrr?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 66\/13?\nAnswer: 66\/13","meta":{"dup_signals":{},"source":"comparison__pair_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: Simplify v\/v**(2\/11)*v*v**(-4\/5)*(v**(2\/3))**(-9\/2) assuming v is positive.\nAnswer: v**(-109\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4770117 is divided by 622.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -8. Let v be -2 - 1\/(h\/(-2)). Suppose v = 5*i - u + 2*u + 2851, i + 571 = -u. Round i to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60536.3835817 - -60891.38355. Let a = -355 + u. What is a rounded to six dps?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8106 + -8111. What is the third biggest value in -6, k, 0.01?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from {n: 1, t: 2, a: 2, e: 2, z: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 656\/(-2952)*2610\/20?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 1:16 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1018 and 16?\nAnswer: 16.1018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 0.03, 3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m - 14. Let r be x(6). Suppose -10*a - r = -6*a. Let h(f) = -f**3 - 8*f**2 - 16*f + 1. What is the units digit of h(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 913363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 11. Let x be c(-10). What is the units digit of (x*1)\/((-6)\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 499 = 15*d - 476. Suppose -3*j - 29 = -d. Suppose 3*o - 25 - 11 = 0. Calculate the lowest common multiple of j and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.1 + 5. Let i = 0.14 - n. Let h = -0.12 - i. Round h to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 398690.\nAnswer: 398690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-5 + -263)\/((-4)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 3*d**2 - 2*d**2)*(-3 + 0 + 2)*(0*d - 2*d + 4*d).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 12:36 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 655808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2 - 42*q - 131. Calculate d(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*s + 92 - 312 = 0, 0 = -4*f + 2*s + 902. Suppose 4*n = 3*n + f. Let j be ((-1)\/3)\/((-5)\/n). Calculate the greatest common factor of j and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*9\/12*(-2)\/(-3). Let j be 3 + -1 - m - (6 - 9). Which is the smallest value? (a) j (b) 1 (c) -2\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12532 and 1.\nAnswer: 12532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/5548 and 77\/12.\nAnswer: 16644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 780 and 975?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -349 - -824. Calculate the highest common factor of w and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 114*s**2 + 2875*s - 992. Determine c(-76).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*q - 5*q - 4*q - 196 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g - 1. Suppose -2*o - 2*o = 4. Let b be i(o). Solve 2*r = -11 + b for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) - (1 + (sqrt(1377) - 4*sqrt(1377) - sqrt(1377) - sqrt(1377)) + sqrt(1377)))**2.\nAnswer: -90*sqrt(17) + 34426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60748*t - 30367*t - 31122*t.\nAnswer: -741*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3*p - 4 + 6.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3139063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/4*-3*(-2)\/(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (104\/44)\/(60\/110).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s. Let a(g) = g**2 - 1. Let p(l) = -4*l + 81. Let u be p(20). Let i(d) = -9. Let f(t) = u*i(t) - 9*a(t). Give y(f(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6*w**2 - 12*w + 17. Let j(m) = 20*m + m**2 - 16 - 8*m + 4*m**2. Let o(z) = 4*a(z) + 5*j(z). What is the tens digit of o(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence euiz when four letters picked without replacement from izjjziijuezzieejji?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*y**2 - 6*y**2 + 63*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2569.65264 microseconds in days?\nAnswer: 0.00000002974135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d6 (base 16) in base 10?\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -17*j**8\/56 - 517*j**5\/20 - 366*j**2. What is the third derivative of h(b) wrt b?\nAnswer: -6120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a8 (base 12) in base 7?\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 divided by -8706.\nAnswer: 9\/1451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 38. Suppose -2*t + 1302 = -j*t. Let n be 6\/(-21) + t\/(-14). Solve 18 = -3*g + 3, 0 = 2*q - g - n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 - 4*m + 3. Let p(v) = 5*v**2 - 10*v + 7. Let r(d) = 3*p(d) - 7*t(d). Suppose 5*s = 4*s + 3. Let x be r(s). Solve -b + 4 = x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 6:57 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 7. Sort f, -4, 2 in decreasing order.\nAnswer: 2, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 - (-44 + 14) - -15.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + 0 + sqrt(112) + -4)**2 + -2)*4.\nAnswer: -256*sqrt(7) + 1848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51815663843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v + 3. Let x be f(-9). Suppose 8*t - x = 19. Solve 17 = -4*a + t*w, -3*a - w - 4 = -3*w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1151940 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-596)\/(-1490) - -1*6\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1107*v = 19528 + 31394 for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 750503.2 grams to milligrams.\nAnswer: 750503200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 2*x - 2*s, x = -2*s - 10. Let f be -1*(9\/x + 4)*0. Suppose -5*p - 230 + 845 = f. Is p a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*z - 2*s, 5*s - 5 = -z - 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 13. Let j be b(-8). Suppose -j*y = 3*u - 140, -3*u + 5 = y - 11. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -42, 228, 7, -5 in ascending order.\nAnswer: -42, -5, 2, 7, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 2 - (9 - 2 - 14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and 84.3.\nAnswer: 5.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2791626 divided by 930542.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 855.9 + -896.97. Let g = 442 + -483. Let l = g - w. Which is the closest to l? (a) 3 (b) 0.2 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 2554.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*d**3*u**2 + 34034674*d**3 + 10968*d*u + 9*u**2 wrt u.\nAnswer: 22*d**3*u + 10968*d + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/15 - (-366695)\/50. Let b = -7344 + z. Find the common denominator of b and 165\/(-156) - (-1)\/4.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**2\/13 - 1822*l\/13 + 32148\/13 = 0.\nAnswer: 18, 893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -0.047, 0.02?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/18 or -56\/421?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.41, 0.2, -0.2, 4, -9.419?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**3 - 3*n**2 + 3*n - 16. Let a be p(3). Solve 4*t + 5*x - a = 3*x, 3*t = -4*x + 25 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 557151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268 + 5*t - 7*t**2 + 128*t**3 + 2*t**2 - 3*t.\nAnswer: 128*t**3 - 5*t**2 + 2*t - 268","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -16, 3716, 8, -3?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 7*c**4\/6 + c**3\/6 - c**2 + c. What is the units digit of u(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-350)\/(-798) + 1\/(-3).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v - 14. Let c be z(-6). Suppose 2*r + 4*q = 10, -q + 14 = 4*r - 27. What is the smallest common multiple of r and (-2 - 0)\/(c\/(-30))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23958?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2308*y + 2304*y - 5*h, 0 = 4*h - 16 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9761566 to the power of 1\/2, to the nearest integer?\nAnswer: 3124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 22*k + 27. Let i be m(-23). Solve -2*j + 3*x + 2 = -x, -i*x + 8 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -104?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*z - 15 + 3 = 0, 3*z + 12 = 0. Let m be ((-4)\/(-5))\/(80\/(-200)). Let u = t + m. Solve 3*n - 5 = -u*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zbedddddkdazzaakazkd. What is prob of sequence kabd?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -522 - -591. Which is smaller: j or 70?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 5*a + 470, 8*b = 5*b + 2*a + 281. Suppose b*w - 97*w = 20. Sort -2, w, -4, 137 in ascending order.\nAnswer: w, -4, -2, 137","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 2*m**2 - 2*m - 4. Let p(a) = -2*a + 3. Let y be p(2). Let r be 14\/(-4) + y\/(-2). Is n(r) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 59 = -x + 50, 2*x = -3*k + 164. Suppose 5*i = 541 + k. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 + 5*v**2 - 5*v - 2. Let w = -28 - -25. Let y be j(w). Suppose 2*g + 3 - 19 = 4*i, 0 = g - 3*i - 10. Is g < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + p**3 + 4 + 6 - 5*p**3.\nAnswer: -4*p**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, -0.35, -0.3, 10, 2, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -1\/4 (c) 2 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -114*o - 13. Let p(x) = -3*x**2 - 112*x. Determine p(h(w)).\nAnswer: -38988*w**2 + 3876*w + 949","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 342 + -352.6. Let b = -1053.26 + 1065. Let s = b + o. Round s to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 8a4b?\nAnswer: -8a48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/16 and 95\/52598976.\nAnswer: 52598976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1069166112 to the nearest integer?\nAnswer: 32698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*z + 91*z = 64. Let s = 1.6 - -2.4. Which is the nearest to 2\/3? (a) z (b) s (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 3053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106235771.\nAnswer: 17, 1087, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 235 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*k - 53*k. Suppose 0*n + 5*j = 5*n - 30, 4*j + 28 = 5*n. Suppose -4*x - u + 487 = k, 2*x - 230 = -0*x + n*u. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 0. Let s = 72 + -72. Is w at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13140903 and 351703.\nAnswer: 144549933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -58*c. Let n(y) be the third derivative of y**6\/360 + 13*y**3\/6 - 323*y**2. Let k(h) be the first derivative of n(h). Give k(w(j)).\nAnswer: 3364*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.034635 - -0.034635. Let r = -3.12 - -3. Which is the fourth biggest value? (a) -2 (b) x (c) r (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 792919 is divided by 792903?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3 = -2. Let c(z) = -z**3 + z. Let v be c(1). Suppose v = -4*k + 13 + 3. Put y, -5, k in ascending order.\nAnswer: -5, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 8:54 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 412.1 + -412. Which is the closest to j? (a) -1 (b) 2\/13 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - (-5 + 3))*(4 + -8). Let r(t) = 25*t**2 + 6*t + 15. Let y be r(q). What is the highest common factor of 23 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3916, 0.12, -42 in decreasing order.\nAnswer: 3916, 0.12, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 a when three letters picked without replacement from fjalrpr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2\/7 (b) 2\/9 (c) -1.9 (d) 1 (e) 95 (f) 3 (g) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*r - 1. Let m = -8 + r. Sort 4, m, -5 in ascending order.\nAnswer: -5, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z**2 - 61*z**2 + 20*z**2 + 8*z**2 + 39*z**2.\nAnswer: 19*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*n - 130, 2*h - 2*n = 3*h - 28. Let t = -266 + 255. Let m(a) = a**3 + 10*a**2 - 10*a + 18. What is the remainder when h is divided by m(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 7901?\nAnswer: 7897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, m: 2, f: 3, n: 2, g: 2, i: 1}. Give prob of sequence mmiy.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 10. Let q(o) = -5*o**2 + 3*o - 9. Let p(m) = -3*m**2 + m - 5. Let a(t) = 7*p(t) - 4*q(t). Calculate a(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 22\/5, 11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 1. Let s be d(0). Let z(x) = -s + 1 + x**2. Let l(w) = 2 - 2046*w + 2048*w - 2. Calculate l(z(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 + (1\/(-2))\/((-9)\/18). Suppose 12 = b - 2*u, 3*u + l = b - 0*b. Let c = b + -18. Is -1 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 2. Let o be u(0). Suppose 4*s - s = -o*x + 25, 5*s - 44 = -x. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297834 is divided by 676?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49106135.\nAnswer: 5, 13, 29, 109, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 8*h - 28. Let m = -54 - -54. Let q be 1*10 + (8\/4 - m). Calculate the remainder when j(q) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -677*y**3 + 259*y**2 - 259*y**2 + 675*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 104521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 0.4506439?\nAnswer: 12.5493561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t - 12. Let x(u) = u + 1. Let d(z) = f(z) + 2*x(z). Let y be d(-19). Let l(w) = -2 + 1 - 8*w + y*w. Let s(o) = o + 3. Give -2*l(g) - s(g).\nAnswer: -3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (3 + (-6 - -3)) - (20 + -5)) + 58.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 z when three letters picked without replacement from mccmjooqjmmmzz.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45092 is divided by 45051?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3308 is divided by 1097?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 83 = 3*c, c + 3*b - 17 = -b. Suppose -7 = 2*z - c. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 2. Suppose -o*t - 2 = 3. Let l be t - 1 - (-30)\/6. Put l, 2, -5 in descending order.\nAnswer: l, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 0 + 2. Suppose -3*b = -b - 8. Let i = l + b. Solve i*j - 7 = 2*x, -4*x = -5*j - 2*x + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1623948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccijccjctjijccjct. What is prob of picking 3 c and 1 i?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9359, -18660, -27925, -37136, -46275, -55324, -64265?\n\"Answer: 3*q**3 - 9322*q - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d41 (base 15) to base 6.\nAnswer: -45241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-2 + 3 - 2)*(-34 + 51 + 79)*(-2 + 2 + 4*r).\nAnswer: -384*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-54)\/(-8))\/((-18)\/(-48)). Suppose y*l - 6*l = 120. Suppose -2*h + 6*h + 4*q = 12, 2*q - l = -3*h. Sort -5, 8, 5, h in decreasing order.\nAnswer: 8, 5, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*6*(-2)\/4. Suppose v*y = -5*b - 0*b - 60, -5*y = -5*b + 100. Let a be (y\/3)\/(2\/(-1920000)). What is a rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13475371*h**2 + 11159155 wrt h?\nAnswer: -26950742*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 264, -10, 3250 in ascending order.\nAnswer: -10, -5, 264, 3250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5494, -1\/3, -3, 0.2?\nAnswer: -5494","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1348, 1471, 1594?\nAnswer: 1717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1285*c - 450*c - 10528 - 38240 + 1173 for c.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64475 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.39 and -0.078881.\nAnswer: 0.03076359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 a factor of 1075659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*t = r - 70, -5*r = -2*t - 363. Let h = 179 - r. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4, 2*z - 6*z - 4*s = -76. Let f = -9 + 12. Calculate the smallest common multiple of z and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 6*c - 2. Suppose -4*h + 0*h - 40 = 3*b, b + h + 14 = 0. Suppose -6*f + 10*f - 4*t - 76 = 0, -2*f + 4*t + 30 = 0. Let z = b + f. Give p(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/((-140)\/84).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-13)\/26*27)*(-1 + -1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 60*i + 418. Let h be l(-52). Suppose -3*u + 7*w = h*w - 9062, 0 = u - 3*w - 3022. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptptbbbbpbbg. What is prob of picking 1 p and 1 t?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 74\/(-40) + ((-39)\/(-15) - 2). Are -1\/3 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-147)\/(-28))\/((-9)\/(-4910604)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -94 - 8.46934.\nAnswer: -102.46934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8714.\nAnswer: 2, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2 = -10. Let s be -18*((-3)\/(-1))\/(-6). Let r = s - x. Sort r, 0, -2.\nAnswer: -2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12519833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 8*g**6 - 7*g**3 - 3*g**2 - 153*g. Let s(k) = 3*k**6 - 2*k**3 - k**2 - 51*k. Let c(v) = -17*s(v) + 6*w(v). Find the third derivative of c(z) wrt z.\nAnswer: -360*z**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111589?\nAnswer: 151, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*r = 45*r - 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(84) + 2*sqrt(84)*1)\/((sqrt(48) - sqrt(432))\/sqrt(4)*1).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, 1.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202608 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2084094 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6015?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -55*x**3 - 2*x - 1. Let i = 4 - 5. Calculate the remainder when f(i) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11810 divided by 5905.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4 + 15*f**3 + 6*f**4 - 18*f**3.\nAnswer: 3*f**3*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/2)\/(2\/4). Suppose -u*c + 4*q - 25 = 0, -2*q + 5 = 5*c - 0. Let s be ((-6)\/(-8))\/((-54)\/12). Which is greater: c or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**5\/4 - 16227*n**4\/4 - 16686885*n**3\/4 - 4838709501*n**2\/4 - 2406855810*n - 1201346100 = 0.\nAnswer: -4167, -620, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**2 - 171*y + 172 = 0.\nAnswer: -172, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**3\/10 - 3*j**2\/10 - 23*j\/5 - 36\/5 = 0.\nAnswer: -4, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21114*u**3 - 10563*u**3 - 10559*u**3.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*a - 38*a - 16*a - 8*a - 2952*a**3.\nAnswer: -2952*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w**2 - 11*w - 2. Let n(r) be the first derivative of -5*r**3 + 16*r**2 + 6*r - 173. Determine 17*c(f) + 6*n(f).\nAnswer: -5*f**2 + 5*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -136 + 464. Round w to the nearest 10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/7741?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550117869?\nAnswer: 3, 7, 41, 71, 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n*x**3 - 21848*n*x**2 + 41693*x**3 with respect to n.\nAnswer: 2*x**3 - 21848*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 636 and 108.\nAnswer: 5724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6*j - 1. Let a be z(-1). Suppose 2*w - y + 8 = -5*y, -a*w + 2*y = -28. Let v be (-2 - -3)\/((-2)\/(-10)). Which is bigger: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 17 - 11 = 0. Suppose 6*v = -p*v + 24. Suppose -23 = 3*c + d, 0 = v*c - 5*d + d + 34. Which is bigger: c or -43\/5?\nAnswer: -43\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (-1*101 - 0). Let b = -1614 - -1614. Suppose -m - r + 106 = b, -7*r + 2*r - o = -m. Is 21 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + -1 + 1)**2.\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in millimeters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*v + 5*q + 7, -4*q = 125*v - 120*v - 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -474, -475, -476?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 9 + -3 - (37 - (-30 - (10 + -27))).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 2:49 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20461\/3588 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -620*p**4*w - 7*p**2*w - w wrt p.\nAnswer: -14880*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*w + 18 - 59 = 0, -2*g - w = -37. Solve -5*v - g = -13*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -596 + 627. Suppose b = 2*b - 31. Let j(z) = 5*z**2 + b - r. Let d(q) = q**2. What is j(d(o))?\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 1 - 42\/6. Let v be 10\/((-10)\/a - 1). Calculate the greatest common factor of v and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.3 - -0.3. Let o(d) = d**2 - 36*d. Let k be o(36). What is the nearest to k in 0, y, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**3 - 41*z**2 - 510*z - 1026. Give g(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.02 + -8.02. What is the biggest value in -16, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -449*z**2 - 29*z - 382*z**2 + 29*z + 107*z**2.\nAnswer: -724*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9187*h**2 + 781*h - 2. Let j(z) = -3063*z**2 + 261*z - 1. Let o(l) = -13*j(l) + 4*n(l). What is the second derivative of o(b) wrt b?\nAnswer: 6142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43945 divided by 3995\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-1\/4)\/z)*z)**(-3\/14)*(z*z**(-1\/3))**(6\/17) assuming z is positive.\nAnswer: z**(-439\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 964673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v + 60 = 27*v. Suppose -3*g = -0*g + v, -28 = 4*f + 5*g. Is 442 + (-6 - (-5 - f)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least as big as -3207\/662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1561)\/14)\/(43\/(-14) - -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*9*(-11)\/(-495).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-318)\/(-1007) + 592\/(-2356) - 2838\/372*16?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -466827 (base 10) in base 3?\nAnswer: -212201100220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 - 91 - 98 = 45*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1829127 seconds to milliseconds.\nAnswer: 182.9127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -22 + 6 + 3*r**2 - 29*r + 30*r. Let d be h(-4). Let b = -140 + 210. What is the greatest common divisor of b and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -63097, -63107, -63121, -63139, -63161?\n\"Answer: -2*s**2 - 4*s - 63091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014916 to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 14*q**2 + q. Let c be l(1). Suppose -c + 48 = f. Let d = 286 + -123. Calculate the remainder when d is divided by f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 56*i - 57*i = -5, h = 2*i + 5. Solve -7*a + 10*a + h*z = -22, 2*a = 4*z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/365 and 45\/16?\nAnswer: 5840","meta":{"dup_signals":{},"source":"numbers__lcm_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: Four letters picked without replacement from wwiwwiiwiwiwwwwwwi. Give prob of sequence wiiw.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 603\/5 - 120. Let m = 17 - 8. Let x = 14 - m. Put x, d, -0.3 in decreasing order.\nAnswer: x, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -131 + 138. Let c(m) be the third derivative of 0*m**4 - 2\/105*m**d + m**2 + 1\/90*m**5 + 1\/120*m**6 + 0 + 0*m + 1\/144*m**8 + 0*m**3. Factor c(t).\nAnswer: t**2*(t - 1)**2*(7*t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1455 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 - -1 - 4 - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 + -73 + 49 - 61) + -37.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -4*q - 10 - 9, 2*h - 2 = q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -1 + 11*y**2 + 2*y**2 - 5. Let q(a) be the second derivative of -a**4\/6 - 1898*a + 1. Calculate q(u(t)).\nAnswer: -338*t**4 + 312*t**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 9:46 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -17*x**2 - 18 + 7 - 4*x**2. Let f(r) = 4*r**2 + 2. What is -11*f(c) - 2*o(c)?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214444 is divided by 16492.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2792996 to two dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 1347 in decreasing order.\nAnswer: 1347, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222266.\nAnswer: 2, 11, 10103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1138267 divided by -1\nAnswer: -1138267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -s, -s - 6*x = -x - 8. Let j be (-15)\/(-5)*(-1 + 2). Suppose 0*n + n - s*b - 22 = 0, 0 = j*n + 4*b - 1. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -13 + 5. Suppose 3*b = x + 3*x + 57, -l*x = 12. Suppose -6 = 3*o - b. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -0.3 (c) 0 (d) -0.01 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 578961318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 5*p**2 - 364840*p = 0?\nAnswer: 0, 72968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/((w**(-9)*w)\/w))\/w)\/w*w*w*w**20*w*w\/(w**(-19)*w*w)*(w*((((w\/w**6)\/w)\/w)\/w*w)\/w)\/w*w)**(-1\/7) assuming w is positive.\nAnswer: w**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((3 + -3*-5*sqrt(76))**2 + 1).\nAnswer: -34220 - 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1327a (base 12) in base 4?\nAnswer: -12122332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -328 - -327. Let l be ((-56)\/(-252))\/(4\/(-3)). Which is the nearest to 1? (a) -2 (b) 2\/27 (c) x (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -124*a**2 - 4*a - 53 + 76*a**2 - 19*a + 47*a**2. Calculate n(-20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 3*u**6\/70 - 3*u**5\/35 + 3*u + 2. Suppose m(r) = 0. What is r?\nAnswer: 0, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15048 by -792.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**6\/180 + 11*z**5\/18 + 29*z**4\/18 - 112*z**3\/9 - 947*z**2. Factor p(l).\nAnswer: -2*(l - 56)*(l - 1)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*g*i**4 + 932629*g*i**3 - 2*g*i**2 - 85*g*i + 3*g + 30*i**2 + 69 wrt i?\nAnswer: -960*g*i + 5595774*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 508 and 6477?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/7, 33, 2\/5, -0.06, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j + 4. Let i be k(0). Suppose 0 = -i*r + 2*g - 2, -g + 2 = r + 1. Solve -4*s + 5*t - 16 = 0, r = -4*s + t + t - 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 22 = 3*h - 4*o, -2*o - 18 = -2*h. Sort 5, h, 2, 1.\nAnswer: 1, 2, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-2)\/(-1)))\/(20\/((-3800)\/(-1539))*-5)\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-434)\/(-93))\/(-1 - 3\/(-9))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*b - 720002 = 0. Let u be (-2 - (-1)\/2)*b. Let n be u*-1 - 3\/(-1). Round n to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 2*m + 3. Let b be w(2). Suppose -t - b*t + 3*s + 12 = 0, 5*t + s = -4. Suppose t = 3*g + 9, 5*i = -5*g + g + 403. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -9*d - 4. Let f(q) = 63*q + 27. Let j(x) = 4*f(x) + 27*r(x). Let p(g) be the third derivative of -g**5\/60 - 11*g**2. What is j(p(c))?\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3524.3 + 3255. Let n = 269 + v. Which is the third smallest value? (a) -4 (b) n (c) -3\/5 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 9 + t - 6)*(0 + 0 - 2*t**3).\nAnswer: -2*t**4 + 30*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-8) + 26\/(-40). Let u = -12.1 + -5.9. Let l = -5 - u. What is the second smallest value in l, 4, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32073816 to the power of 1\/3, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1)*4\/20?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -43.03079.\nAnswer: -4.303079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 w when four letters picked without replacement from eeweww.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8437, 67361, 227299, 538759, 1052249, 1818277, 2887351?\nAnswer: 4309979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 249020\/2923 less than or equal to 85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1648\/12 - 4\/3. Let i be (4\/5)\/((-3)\/(-15)). Suppose -3*f = 2*b - 97, -2*b - y = -i*f + 2*b. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 15*w + 5. Let x be s(-15). Suppose -3*g = -x*d + 215, -3*d + 8*d = -3*g + 245. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6695 - -0.06063\nAnswer: -6694.93937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.9508 grams to milligrams.\nAnswer: 13950.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -670*h + 100459 = 1295*h - 88181 for h.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(51\/(-85) + 329\/490)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*r + d + 47 = 84*r, r = 74*d - 122 for r.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1460 and 14308.\nAnswer: 71540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7620312.\nAnswer: 2, 3, 7, 67, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 1020, -3, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -17*i + 2. Let q be m(-2). Let l = 211 + -199. Factor -9*r + 39*r**4 + 3*r - 33*r**2 - q*r**3 - l*r**4.\nAnswer: 3*r*(r - 2)*(3*r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 - (-27 + -22 + 24 + 59).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7*j**2 - 3*j - 3. Let v(c) = c**2 - c - 1. Suppose 5*b - 1 = -2*t, -4*b + 3*t - 8 = 5. Let h(m) = b*i(m) + 3*v(m). Let o(s) = s**2. What is h(o(z))?\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 = -364\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b2989 (base 16) to base 7.\nAnswer: -6134511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 495629.3 micrometers in nanometers?\nAnswer: 495629300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**5\/60 + n**3\/3 + 1. Let c(z) be the third derivative of w(z). Let h(o) = o - o - 2*o + 3*o. What is c(h(j))?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 1 - 1\/16*k**4 + 0*k - 4*k**3 + 1\/144*k**6 + 0*k**2 - 1\/120*k**5. Let j(h) be the third derivative of i(h). Factor j(q).\nAnswer: (q - 1)*(5*q + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*-10*(-2)\/5. Suppose 18 = 2*z + 7*z. Suppose z*i - p + 4 = 0, i = 5*p - 7 - 13. Sort -4, -5, x, i in decreasing order.\nAnswer: i, -4, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330.800806 minus -0.2?\nAnswer: 331.000806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -5, 4238772, 0.3 in ascending order.\nAnswer: -5, 0.1, 0.3, 4238772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 36 - 138. Suppose -t*d + 32*d = -18. Solve -d = 2*f + f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*z + 37*z - 140*z as s*z + w and give s.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 125410 from 123.\nAnswer: -125287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - 54 + 3*q**2 + 7*q**2 - 9*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67890*t**3 - 270*t**2 + t - 49.\nAnswer: -407340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -508 - -1495. List the prime factors of z.\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -533, -804, -1249, -1862, -2637, -3568, -4649?\nAnswer: -5874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 12, -15, -62, -135, -240?\nAnswer: -383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 62*u**2 + 5*u - 3. What is the smallest common multiple of f(1) and 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 9. Let -15*a**2 - 3*a - a + r*a**2 = 0. Calculate a.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h = -23*h + 14. Let u(t) = 6*t + 19. Let k be u(h). Let n = k - -156. What are the prime factors of n?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-287883)\/(-2206))\/((-18)\/(-4))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3\/3 + 23*y**2\/6 - 13*y\/6 - 2 = 0. What is y?\nAnswer: -12, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**4\/24 + 35*r**3\/6 - r**2. Suppose 4*t + 4 = -2*c - 2, 2*t = -4*c - 12. Is v(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 i when three letters picked without replacement from ijmmvmvvciciccjmivj.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2 - 6*r**3 - 11*r**2 + 5*r**3 + 0*r**3. Let q be h(-11). Let v be 31 - (q - 2)\/(-4). What is the highest common divisor of v and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 8) + -14 - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 483299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 - 4 + 3 + f**3 - 15*f + 33*f to y + q*f**3 + l*f**2 + g*f and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 16.6+-88455.975\nAnswer: -88439.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29971*c**2 - 14982*c**2 - 14987*c**2 - 4.\nAnswer: 2*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -11, -4, 15, 46, 89?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -12 - 1496\/136.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - 39*f - 61. Let q be d(21). Let i(r) be the first derivative of -2\/3*r**3 + 0*r**q + 20 + 0*r. Let g(l) = 23*l**2. Calculate g(i(p)).\nAnswer: 92*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + (-3 + -2*sqrt(612) - sqrt(612))**2 + sqrt(612)*2 + 3 + -1) + -1.\nAnswer: 120*sqrt(17) + 5519","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (u**2 - 5*u**2 + 3*u**2)*((-7 + 2 - 1)*(-3*u + 5*u - 4*u) + 12*u + 8*u + 2*u) in the form g*u**3 + o + y*u**2 + d*u and give g.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1439217284 to the power of 1\/2, to the nearest integer?\nAnswer: 37937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017 plus 733558239?\nAnswer: 733558239.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1303\/5536 or -1?\nAnswer: -1303\/5536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 11:04 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**5 + 1444*b**4 + 3*b**3 - 4330*b**2 - 2888*b = 0?\nAnswer: -1, 0, 2, 1444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1680, -4, 2\/9?\nAnswer: -1680","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 10:17 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a factor of 749508493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t - 159. Calculate h(32).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68\/245 + 694\/735. Which is the closest to h? (a) -1\/3 (b) -5 (c) 0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -22402?\nAnswer: -22410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*l - 44 = 0, 2*i = 2*l + l + 47. Suppose w - 5*w - i = 0. Let t = 8 + w. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 120, 1, -25 in ascending order.\nAnswer: -25, 1, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24089 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1467*b**3 - 4734*b**2 wrt b?\nAnswer: -8802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 - 3*g**2 + 2*g**2 - 2*g**2 - g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is b0 (base 15) in base 6?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) -0.1 (b) -2\/5 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-13)*k)\/((k**23*k)\/k)*k**38\/k*k**(8\/11)*k assuming k is positive.\nAnswer: k**(52\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -4, -1, -16, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 9 - ((-25 - -15) + -46 - -22).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - -9) + 14 + 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in -9, -4, -94, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 510 and 32640.\nAnswer: 32640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(9\/6))\/(77\/(20328\/(-64)))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) - (0 + sqrt(245)*2))*5*-4 + 2)**2.\nAnswer: 560*sqrt(5) + 98004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000012586701788 rounded to 7 dps?\nAnswer: 0.0000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*q - 4278 = 47 - 1637 for q.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/5)\/((-13986)\/89910).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1298.7 - -1294.7. What is the closest to 11 in 0.06, a, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**2 + 1662107*d - 18613005 wrt d.\nAnswer: -4*d + 1662107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 968 + -1001. Let y be (-4)\/1 - u\/12. Put y, 1, -1 in descending order.\nAnswer: 1, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10647)\/68445 - (-50)\/9\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*u - 27884 = 28733 - 59477 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 13*i**2 - 13*i + 8. Let t be o(12). Which is the third smallest value? (a) 0.5 (b) -5 (c) t (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17883424883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-4 + z + 4) - 2*z + 20*z - z + (-1 - 4 + 4)*(-3*z + 2*z + 0*z).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*s**2 - 1947463*s - 49099018 wrt s?\nAnswer: 6*s - 1947463","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3*f - 29*j = 155, -2*f + 26462*j = 26463*j - 105 for f.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/4 + 56\/32. Does 5 divide ((-34)\/(1 - 2))\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/628 and -7\/16.\nAnswer: 2512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342918901.\nAnswer: 13, 26378377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.068 and 44.\nAnswer: 44.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/4599000 and 46\/63.\nAnswer: 4599000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 123312 (c) -4.79 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**4 - 5*z**3 + 47*z**2 + 341*z - 2. Let i(b) = 4*b**4 + 4*b**3 - 46*b**2 - 340*b + 3. Let p(g) = 3*d(g) + 2*i(g). Factor p(w).\nAnswer: -w*(w - 7)*(w + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(15\/8))\/((-156)\/780).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79.3 + -79. Suppose -6 = 4*a + 10. What is the nearest to 2\/3 in 4, a, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*l**5 - 3 + 3 - 366*l**5 + 37*l**5)*(5 - 2 + 4).\nAnswer: -2611*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -7. Suppose 57 = -2*j - x, -x = -4*j - 104 - q. Let l be 8\/j + (-37)\/(-7). Solve -g + l*u = u - 4, 0 = u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 10*q + 25. Let s be f(-6). Suppose -n = 4*o - s, -o - n + 3 = 2. Solve o = -v + 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*s**3 - 10*s + 10*s.\nAnswer: -43*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 7:16 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 684841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/8473?\nAnswer: -1\/8473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**25*j**(-30))\/(j**8\/(j\/((j*j**(-2\/83))\/j))) assuming j is positive.\nAnswer: j**(-994\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 80 + -75. Let z = b + -4.9999959. Round z to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 27*d**2 - 6627*d + 209. Let i be l(69). Suppose 0 = -4*h - 3*w + 8, 2*h + 4*w = 4*h - 4. Let x be 1 + h*2\/(-4). Solve -i*m + m + 3 = x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9259 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/11)*s)\/(s\/(s**(1\/7)*s*s)) assuming s is positive.\nAnswer: s**(172\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1787292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12646417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 4, -3 = -5*u - f + 31. Suppose -2*m = -i + 5*i - 154, 5*m - 385 = -3*i. Calculate the greatest common factor of m and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/18735896 - -1320180413785\/637020464. Let v = f + -4145\/2. Find the common denominator of 65\/12 and v.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 1327, 5 in increasing order.\nAnswer: -5, 3, 5, 1327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2374.999996292 + 2375. What is h rounded to seven dps?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spge when four letters picked without replacement from gspeo.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 232960 and 2528768?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/21 or 729436?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -719*r**2 + 145*r - 1. Let x(g) = g. What is x(b(i))?\nAnswer: -719*i**2 + 145*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -161*p**5 + 146*p**2.\nAnswer: -9660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -164209950 by -121637.\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d - 9. Let m be 11 - 7 - (-6 + 2 - -2). Let w be f(m). Suppose -3*p = -w, n + 3*p - 90 = -26. What is the remainder when n is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 49074 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 5. Suppose 7*s - 2*s - k - 58 = 0, -5*k - 37 = -2*s. Let h(u) = -2*u + s*u**2 - 9*u**2 + 3*u**3 - 2*u**3 - 2. Give h(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, 0.4, -2\/9, 0.45?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 8*f = 0. Suppose 5*g - 25 + 0 = f. List the prime factors of 96\/10 - (-2)\/g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 11:57 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 times -0.098\nAnswer: -0.2744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43.9 + -44. What is the smallest value in -0.5, 2, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in 0.4, -1\/7, 4, 9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 8, 5*i - i = -t + 536. Suppose i = 9*k - 6*k. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25a3bb8 (base 13) in base 8?\nAnswer: 55017206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -317*o**2 - 5*o. Let r(b) = 640*b**2 + 10*b - 1. Let l(s) = 7*d(s) + 4*r(s). What is the second derivative of l(f) wrt f?\nAnswer: 682","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -963*v + 3371 - 1900 = -3390 - 3806 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/((-720)\/270*9\/(-12)*-1*1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*t = 0. Suppose t = -m + 4 + 1. Suppose -17 - m = -2*d. Solve 3*r = x + d, x - 5*x + 5*r - 16 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 25*g**3 + 2*g**2 - g - 2. Let w be m(2). Suppose 0 = 7*l - w + 78. What is the greatest common divisor of l and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1987*b**4 + 5*b**3 - 51731*b wrt b.\nAnswer: -23844*b**2 + 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 2*b + 13)*((3 - 2 + 0)*(-2*b - 2*b + 2*b) - 2 + b + 2)*(11*b + 4*b - 6*b + (b + 0*b - 2*b)*(1 + 0 - 3)).\nAnswer: -22*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 966*x**3 + 3119*x**3 - 143*x**3 + 67*x**3.\nAnswer: 4009*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - ((-1 - -11) + (3 - 28 - -25))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -880753, -3522759, -7926019, -14090533, -22016301?\n\"Answer: -880627*v**2 - 125*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 34*q**2 + 885*q + 58. What is i(-26)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) -12\/13 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 - 5*i + 5. Let n(v) = 3*v**2 - 5*v + 4. What is -5*n(q) + 4*r(q)?\nAnswer: -3*q**2 + 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c - 7. Let l be v(-5). Let h be 3 - 9*(-4)\/(-12). Let n be l - h*3\/18. Solve 8*w = n*w + 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 - 57. Let a = 245 - 247.915. Let y = x - a. What is y rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-5) - (-58)\/145. Let t be (60\/(-28) - -2)*k. Which is the biggest value? (a) -1 (b) t (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -19. Let w = l + 14. What is the third derivative of -3*k**w - k**2 + 0*k**2 - k**3 wrt k?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/5 and 3 + (1 - (-131)\/(-8))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 - h**3 - h**3)*(-4 + 6 + 2)*(h + 5*h - 4*h + 3*h + 2*h - 3*h + (-5 + 0 + 3)*(-h - 1 + 1) + 2*h - 2*h + 2*h).\nAnswer: 32*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000139 to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*u = 96*u. Sort -4, 10, u in ascending order.\nAnswer: -4, u, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-10))\/(-7*(-11)\/154)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + p + 7 = 0, 0 = 2*p + 10 - 0. Let r(l) = 3*l**2 - 14*l - 47. Let i be r(7). Solve 3 = -i*c + m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6040345772.\nAnswer: 2, 1510086443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/640800 and 137\/6647232.\nAnswer: 498542400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525 is divided by 495?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 0.4 (c) -0.005\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**3 + 4*a**2 + 7*a + 4. Let l be s(-3). Let y = -13 - l. Let j = 243 + y. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqcb when four letters picked without replacement from apbqcpappwbpbwpbc?\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -66. Let y(f) = -f + 18. Let q be y(2). Suppose -a = 14*b - q*b. Solve 2*d + b = 5*p - 3*d, 4 = 2*d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 63 + 2. Let l be (-1 + k\/2)*4. Let q = -4 + l. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14725 + -3?\nAnswer: -14730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k - 53. Let u be i(27). Let r be 11\/18 + 2\/(-4). Is r at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4442142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 1:05 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1088, 2172, 3256?\n\"Answer: 1084*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -482254 by 1.\nAnswer: -482254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*sqrt(168)\/sqrt(3))\/sqrt(8) + -2*sqrt(4032) + -1)**2.\nAnswer: 106*sqrt(7) + 19664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, d: 4, r: 3, q: 2}. Give prob of picking 1 q, 1 d, and 1 m.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -69, -115, -187, -291, -433?\nAnswer: -619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**3*c**3 + 8*a**3*c**2*t + 240*a**3*c*t - 2*a**2*c**3*t - a**2*c*t + a**2*c - 5*a*c**2*t - 58*c**3*t wrt a.\nAnswer: -6*c**3 + 48*c**2*t + 1440*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4087 is divided by 283.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**(-1)))\/n)**(2\/13)\/((n\/((n\/(n**(-1\/4)*n))\/n))\/((n*n**(-1\/4)*n*n)\/n)))**(-26) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 4. Suppose 32 = 2*w - 0*w - 4*k, -2*w + a = k. Calculate the remainder when 23 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 9 = -3. Suppose 2*l - 4 = w. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b - 8. Let v be p(5). Let a be v\/6*(-317)\/65. Let o = 7\/13 - a. What is the common denominator of 8\/3 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2442 (base 6) to base 4\nAnswer: -21122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k - 4*u = -25*k - 14, -2*k + 3*u = 5. Sort -5, k, -21 in descending order.\nAnswer: k, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -68*l**5\/11 - 279815*l**4\/11 - 288263642*l**3\/11 - 841635896*l**2\/11 - 447911936*l\/11 + 169085440\/11 = 0.\nAnswer: -2056, -2, -20\/17, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34058509*d - 5922 = 34058572*d for d.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (18 + -4 + -3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n**4 + n**4 + 2*n**4)*(-3*n + n + n + (-n + n + n)*(5 - 2 - 1) - 6*n + 3*n + n)*(1 - 6 + 4).\nAnswer: 11*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1598380 - 1598380.9000008. Let f = 3.2 + -2.3. Let n = f + k. What is n rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 150276.1 + -157543.072. Let g = h + 7280. Let d = g + -13. What is d rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 143*v**3 + v + 226. Let w(b) = -2*b**3 + b - 1. Let z(y) = d(y) - 3*w(y). Find the second derivative of z(l) wrt l.\nAnswer: 894*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/(45*2\/4572). What is the greatest common divisor of j and 10033?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2543.152 rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (-16 + (-500)\/(-35))*4718\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/(-20))\/(5\/(-18)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 17230?\nAnswer: -1\/8615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2707123465 to the nearest integer?\nAnswer: 1394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5948 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -21, -5485 in ascending order.\nAnswer: -5485, -21, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*g - 668 = -2099 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*a = 105*a - 246*a - 225*a - 36281 for a.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 5:06 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 49*i**5\/330 + 14*i**4\/33 + 16*i**3\/33 + 7*i**2 + 307*i. Let o(h) be the first derivative of m(h). What is d in o(d) = 0?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (38\/(-4))\/((-1)\/2). Let w = -2997 + 3012. Let r = w - t. Put -3, 0, 5, r in descending order.\nAnswer: 5, 0, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 88676?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*m**3 + 103 + 14*m**3 - 82 to r + i*m**3 + n*m**2 + u*m and give r.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = -17*h + 486. Suppose 3*f + 4 = 4*g + 2, -14 = -3*g - 4*f. Suppose g*r = -3*r + 50. Calculate the remainder when h is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001430149 rounded to 5 dps?\nAnswer: 0.00143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 177.\nAnswer: 2655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-35 + (-23 - -25) - (-5 + 0))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4383.969 grams in micrograms?\nAnswer: 4383969000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -172474858778 less than 0?\nAnswer: 172474858778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26581861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -244, -517, -812, -1135, -1492, -1889, -2332?\n\"Answer: -c**3 - 5*c**2 - 251*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -9, s - 2*t = 3220 + 697. What are the prime factors of s?\nAnswer: 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*a = -163*a. Let o be 2\/5 + 16\/10. Suppose 3 - 2 = -b + 5*w, a = -4*b - o*w + 18. Calculate the least common multiple of 18 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.240736 - -0.282892. Let l = 0.22364 - y. Let r = l - -0.3. Round r to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 32858, 32859, 32860, 32861, 32862?\n\"Answer: r + 32857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2)*(136\/(-48) + 3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -7. Let q = -580 - -583. Calculate the highest common divisor of t and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nccwcqcccnww. Give prob of sequence wnqc.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 4*c**2 + 8\/3*c**3 + 2 + 1\/4*c**4 + 4*c. What are the prime factors of v(-5)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.080593 + 0.6493887. Let w = -0.73 + r. Round w to six decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 11 = i, 0 = i + 2*i - 4*f. Suppose -i*o = 3*u - 10, -5*u = 5 + 5. Find the third derivative of -3*z**2 - z**4 + 2*z**o + z**4 - z**4 wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5.205 from 0.3.\nAnswer: -4.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from ggxggxggxggg?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12925, 0.0482, 0.4 in ascending order.\nAnswer: -12925, 0.0482, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 - 10136*h**2 + 151356*h - 544104.\nAnswer: 4*(h - 2519)*(h - 9)*(h - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhkk when four letters picked without replacement from khoyl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225 = -26*q - 173 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**4\/24 + t**3\/2 - 4*t**2 + 2. What is l(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64 + c**3 + 0*c**3 + 52 to the form k + p*c + s*c**2 + o*c**3 and give k.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -2, 2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11555982?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-16) + (-45900)\/(-544). What is the greatest common factor of 63 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 16*f = 4*l + 200, -194 = -3*f + l. Let o(j) be the first derivative of -4\/3*j**3 + 6 - f*j + 16*j**2. Factor o(k).\nAnswer: -4*(k - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -202428967913 - 2.9.\nAnswer: -202428967915.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 - 5854*r.\nAnswer: r*(r - 5854)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - -14) + -20 - (-10 + -14).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 divide 152352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -9 - (-4 - -14)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (1 - (-48)\/9))*(-97)\/(4947\/306).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 5:39 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/22)\/((8778\/266)\/(-25773)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -804 - -809. What is the lowest common multiple of u and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2853\/25 - -114. Calculate the common denominator of m and 71\/2.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w = 29*w - 150 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*g*j**2 - 79*g + 2*j**3 - j wrt j.\nAnswer: 82*g + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25558269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110110 - -11?\nAnswer: 1111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 12, 0.05, -2\/27, 3 in ascending order.\nAnswer: -5, -2\/27, 0.05, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 + 40. Let f = 190 + -190. Let b = f - 0.2. What is the nearest to 4 in -0.5, u, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 5 (b) -0.06 (c) -1\/4 (d) 247 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, n: 1, l: 1, g: 5, p: 1}. What is prob of picking 1 u, 1 n, 1 l, and 1 p?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from kkkffkkf?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 + 3)*(2 + 0 - 1)*(1297 - 1297 + 260*x) in the form v + n*x and give n.\nAnswer: 2080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6*16\/(-60))\/(6\/15). Solve m*s + 8 = -0*y + 4*y, 0 = s - 5*y - 6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-10) - (-345)\/25. Suppose u - 16 = 3*b. Which is smaller: -3\/2 or b?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*n = 71 + 1257 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 197720 - 3?\nAnswer: 19771d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 61 = -5*x + 79, k = x - 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17599 is divided by 275.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**4 - 6*x**4 - 2*x**4 + (-2*x**3 + 4*x**3 + 0*x**3)*(-3*x + 0*x + 4*x) - 6 + 4*x**4 + 6 to c + a*x**4 + j*x**2 + y*x**3 + f*x and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 4*w**2 - 4*w + 18. Calculate g(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 15) to base 2\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 90353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 67457 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1191.5 + -1191. What is the nearest to -0.1 in w, 28, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1646080.38 microseconds in weeks?\nAnswer: 0.00000272169375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18125574?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 121*w**2 + 16*w**3 + w**4 - 120*w**2 - 141*w - 81*w - 16*w**3 to the form b + o*w + i*w**3 + g*w**2 + x*w**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*p + 8*p + 7820. What are the prime factors of p?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 - -57.0000081. Round w to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17\/14 + 41\/28. Let x(b) = b**3 + 5*b**2 + 5*b + 3. Let c be x(-4). What is the closest to 0.2 in -2\/3, c, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*u + 6, 4*u - 5*x + 7 = -7. What is the third smallest value in 4\/7, 1\/4, u, -3\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r + 424 - 484 = 5*r. Factor 2\/3*b**4 + 2\/3*b**3 + 0 + 2\/9*b**r + 0*b + 2\/9*b**2.\nAnswer: 2*b**2*(b + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-1) + 0\/(-4). Suppose 5*x + 5 = 2*x + h, 0 = -3*x - 4*h + 20. Sort 1, x, 4, g in decreasing order.\nAnswer: 4, 1, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27 - -27) + (-1)\/((-1)\/(-3)). Is 1257\/(-15)*(-2 + x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m + 5. Let l(y) = -y**2 - 14*y + 4. Let q be l(-14). Determine n(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/4048611 and -73\/21.\nAnswer: 4048611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -611 (base 12) to base 14\nAnswer: -469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bp when two letters picked without replacement from bbkkkpkbkzbhkkbbb?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/403 and 36\/24*(-1065)\/27900.\nAnswer: 16120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6462 - -3?\nAnswer: -645e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30951, 32207, 34301, 37233, 41003, 45611?\n\"Answer: 419*j**2 - j + 30533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 23*m - 2. Let v be p(-23). Which is the nearest to -1? (a) v (b) -3 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -192*t**2 + 367*t**2 + 225*t**2 + (-3*t + 4*t - 3*t)*(-t - t + 0*t).\nAnswer: 404*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -6*w**2 - w + 2. Give c(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 230232232 (base 4) in base 10?\nAnswer: 183214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 257 + -152. Let t = -1261\/12 + i. Let d = -4 - -3. Which is the closest to d? (a) -2\/3 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 179, 621, 1335, 2321, 3579?\n\"Answer: 136*i**2 + 34*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -28\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/81606 and 93\/10318.\nAnswer: 897666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20893 + -20889. What is the fifth smallest value in t, -0.4, -73, 1, 5\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9380295.\nAnswer: 3, 5, 149, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 9*y + 50. Let z(n) be the third derivative of 0*n + 5*n**2 - 1\/12*n**4 + 4\/15*n**3 + 0 + 1\/150*n**y. Factor z(k).\nAnswer: 2*(k - 4)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 9 + 6 + -17 + (-7 - -110) + -8\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406*r + 406*r - 2*r**2 + 694.\nAnswer: -2*r**2 + 694","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 2:36 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -29\/10 = -8\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqvqqqqqqqqq. What is prob of picking 1 v and 3 q?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6056 - -6398. Solve w*t - 24 = 346*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3147935*j - 11752741 wrt j.\nAnswer: -3147935","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 - 2*g**3 - 2*g**3)*(0*g**2 + 0*g**2 - g**2) + (-g**3 + 2*g**3 + 0*g**3)*(-7*g**2 - 2*g**2 - 3*g**2).\nAnswer: -6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = 10*n - 29. Is n > -46\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-1 - (55\/26 - 3). Let l = -8\/13 - f. What is the smallest value in -7, l, 0.3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8757408?\nAnswer: 2, 3, 11, 8293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -12\/5, 54365 in ascending order.\nAnswer: -12\/5, 2\/5, 54365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s + 10*s - 72 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 22. Let d(m) = -2140*m**2 - 2*m - 4. What is d(i(q))?\nAnswer: -2140*q**2 + 94158*q - 1035720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, -4, 4, -65 in descending order.\nAnswer: 4, 3, -4, -9, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 148072063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 45*i - 47. Let s be v(3). What is the highest common factor of 33 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 1475*y + 11800. Let p be u(-8). Put -1, -74, p, 3, -12 in decreasing order.\nAnswer: 3, p, -1, -12, -74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 6*o - 3*o. Let f = 67 + o. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 43935, 175878, 395775, 703620, 1099407, 1583130, 2154783, 2814360?\n\"Answer: -z**3 + 43983*z**2 + z - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85701?\nAnswer: 3, 7, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28321, 56645, 84969?\nAnswer: 113293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(76) + ((1*sqrt(2299) - sqrt(2299)) + sqrt(2299))**2 + -2.\nAnswer: 2*sqrt(19) + 2296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4597 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -40*(2 - 5\/2)*-1. Let b = g + 25. Suppose -3*c - 4*i = i - 23, b*i + 1 = c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + t - 35 = 0. Suppose -n + 6*n = 10. Let o be ((-7)\/t)\/(n\/34). Round o to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -39*d - 53. Let x(h) = 40*h + 53. Suppose 5 = -6*q - 13. Let l(g) = q*i(g) - 4*x(g). Differentiate l(m) wrt m.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**3\/3 - 326*q\/3 - 308 = 0?\nAnswer: -11, -3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26136610*g**3*u**3 + g**3 - 9*g**2*u**3 + 20921*g**2*u - g*u wrt g.\nAnswer: -156819660*u**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/22 + 46\/11. Suppose 5*i = -15, -5*o - n*i + 2*i = 16. Let w(l) be the second derivative of -l**4\/4 - l**3\/3 + l**2 - l. Give w(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 244 = -2*o. Calculate the remainder when o is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 131*z**2 + 9*z + 4. Let c be 28\/(-7)*(1 + (-3)\/6). List the prime factors of n(c).\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wqwwwq. Give prob of sequence qwwq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -28*k**3 + 446*k**2 + 34*k + 15. Determine h(16).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2685997 at most 169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 3 - 14)*(-q + 0*q - 3*q + (9 - 2 - 2)*(2*q - q + 0*q)) as n*q + o and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8857.648ml?\nAnswer: 8.857648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/16 and 36\/(-3492)*158\/(-4)?\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 2*f + 3*s, -766*f - 2*s + 72 = -790*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 693.9344 meters in millimeters?\nAnswer: 693934.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (3 + -13 - 5) - -7.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + v + 83. Let t be 6\/27 - 60\/27. Let x = t - -2. Is k(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3645043, 5, -3, 3.\nAnswer: -3, 3, 5, 3645043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -16*q - 190. Give h(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2752 divided by 4.\nAnswer: -688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.5 - -19.5. Let v = c - 26. Sort v, -5, 2 in descending order.\nAnswer: 2, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11747, 0.4, 10484, -1\/6 in descending order.\nAnswer: 11747, 10484, 0.4, 0, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -322.\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**4 + 114594*r**3 + 8611884*r**2 - 17567538*r + 8841063 = 0. Calculate r.\nAnswer: -77, 1, 38273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13, -19, -9, 23, 83, 177?\n\"Answer: i**3 + 2*i**2 - 19*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qphqqsoqqqqsqoshqh. What is prob of sequence hs?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0958 - -0.3958. Let f = -0.2 + 0.2. What is the biggest value in f, c, 1\/10?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2239 + 2237. Let z = -79 - -79. Let g = 1\/2 + 1\/10. Which is the second biggest value? (a) w (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 4*q**2 + 0*q**2)*(-9354*q**2 - 9350*q**2 + 18696*q**2 + 2*q).\nAnswer: 16*q**4 - 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 24. Suppose 402 = l*z - 5*a, a + 317 = 5*z - 642. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 12442 = 4*n, -78*b = -82*b + n + 9941. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2411 is divided by 142?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 2912*l + 2910*l = 16, l = 3*g - 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjhef. What is prob of picking 1 h and 2 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/2 + 38 + -41\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578280 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/6)\/(2 + 0). Suppose f - a + 0 = 0. Let y(z) = -99999*z**3 - 2*z**2 + z. Let r be y(f). What is r rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = m + 3*m. Solve 3*l - 9 = -3*u + m, -4*u - l = -7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -12*d - 10. Let n be c(-1). Suppose n*h = h + t + 12, -20 = -2*h + t. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-61)\/(-9) - 7)*3\/(-5).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-381)\/(-6))\/(18\/(-36)). Are t and -128 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.35 + -1.55. Which is the closest to k? (a) 6 (b) 2\/9 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -18*y + 35*y + 351*y**2 - 18*y. What is the tens digit of h(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9625643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 8. Suppose z = 3*u + 2*u - 125. 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 third derivative of -2583*h**3 + 4419*h**2?\nAnswer: -15498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/(-896)*(-6)\/15*-1.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -8*b + 12*b + 40, -3*b = 3*v + 3. Suppose k - 150 = -2*q, -v*k = -4*q - q - 626. What is the remainder when k is divided by 45?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**15\/(s\/((s\/s**(2\/3))\/s))**(2\/29))\/((s**(-9)*s**(-1\/2))\/((s\/s**7)\/(s*s**(-1\/4)))) assuming s is positive.\nAnswer: s**(917\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + -1. Let t = o - -4. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 327 divided by -44.\nAnswer: -327\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 2*g - 10, g - 40 = -5*h - 53 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 - ((-18 - -17 - 9) + -9)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(6 + 140\/(-30))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0262 and -85488?\nAnswer: 2239.7856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 72618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1230146*1.6\nAnswer: 1968233.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111002220220 + 301?\nAnswer: -111002213313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) 2\/13 (c) -0.2 (d) 16 (e) 0.5 (f) 6 (g) 593\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -58, 0.72, 0.01 in descending order.\nAnswer: 0.72, 0.01, -1\/4, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 960 + -673. Suppose 5*h - 4*h - s = -2*n, 5*n = -h + 290. What are the prime factors of h?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389 = 7*g - 206. Let y(q) = -86*q**2 + g*q**2 - 4 + 0*q - 4*q. Let m be ((-1)\/(-2))\/(3\/(-24)). Determine y(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22770936 is divided by 237?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -245*v**4\/2 + 2541*v**3\/2 - 6985*v**2\/2 + 7443*v\/2 - 1377 = 0.\nAnswer: 1, 9\/7, 34\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 0 + 6*u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2*3)\/(3\/(-9)). Suppose a = -c + 3*c. Let n = c + -13. Sort -2, n, 3.\nAnswer: n, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -356 by -4.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/7? (a) 0 (b) 78 (c) -4.983\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*a = 264*a - 6*g + 13 + 8, -11*g = -3*a + 72 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(95) + (sqrt(95) - (sqrt(95) + (4*sqrt(95) - sqrt(95)))))*-6)\/((-3*sqrt(60))\/sqrt(12)*3).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 11. Suppose 5*u = 73 - 23. Let s be q(u). Does 7 divide -2 + s*1 + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**4\/3 + 5918*f**3\/3 + 411866*f**2 + 3665338*f\/3 + 2435660\/3 = 0.\nAnswer: -193, -2, -1, 3155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 11:09 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1035 and 1845405?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (46*(-16)\/(-2208))\/(((-86)\/3)\/((-64)\/80))?\nAnswer: 2\/215","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7277.361 minutes in milliseconds?\nAnswer: 436641660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 40 = -12*v. Let h be 8\/12 - v*(-2)\/6. Solve 2*o = 2*c - 2*o + 12, 0 = -2*c + 2*o - h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-15)*105\/14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i = -2849 - 15. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-91)\/(-14) + (-9)\/6. Which is the fourth biggest value? (a) -18 (b) 3 (c) x (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**13*y)**(1\/9)\/((y*y**(-11)*y)\/y*y\/y**16) assuming y is positive.\nAnswer: y**(239\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2240 = -10*z + 2180 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**7\/(q\/(q*q**(-4)*q)*q))\/((q*((q\/q**(-3\/2)*q)\/q)\/q*q)\/(q\/(q*(q*q\/(q\/((q**9\/q)\/q)))\/q*q))))**(-1\/7) assuming q is positive.\nAnswer: q**(17\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**4 - 3*h**3 - 3*h - 6. Let a(v) = -2*v**4 + 2*v**3 + 2*v + 7. Let d(k) = 3*a(k) + 2*w(k). Differentiate d(p) with respect to p.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 + 1 + 53*m - 52*m + (m + 4 - 4)*(-4 + 2 + 0) - 5*m - 10*m + 3*m.\nAnswer: -13*m + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 + 713. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 12:48 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3) + 1 + 11 + -8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124 (base 5) to base 16.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2655?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**7\/2520 + z**6\/240 - z**5\/8 + z**4\/12 - 7*z. Let s(i) be the third derivative of h(i). List the prime factors of s(7).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 416034 divided by 6.\nAnswer: 69339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x - 4. Let p be b(4). Let w = p + 4. Suppose 0 = w*u - 4*g - 940, 4*g - 470 = -2*u + 3*g. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*h + c, -5 = -3*h - 0*c - c. Solve -h*l + 4*p - 2*p = 8, 5*l - p + 4 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3*-1)\/((-5)\/(-50)*-6). Suppose 0 = 4*s - 6*s + 30. Let q be (-2)\/8 + (-42)\/(-8). Solve x = q*b + s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xws when three letters picked without replacement from {x: 1, u: 2, w: 1, s: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-5 + -7 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 697*x = 851*x + 3234 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -8. Suppose 0*x - 2*x = 8, 5*j = -x + 11. Let h be r\/j + 1 + -2. Let w(f) = 3*f. Determine w(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbuhuvvh. What is prob of sequence ubhu?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8637342, 17274683, 25912022, 34549359?\n\"Answer: -k**2 + 8637344*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1639*g + 765*g - 4 + 4 + 898*g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*d - 662 - 946. Let o be 1*-2 + (1 - 2). Is 3560\/d + (-4)\/18*o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-2)*(-1392)\/(-580)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2788 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f - 3337 - 128 = 0. Let r = -231 - f. What is the nearest to 2 in -28, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + 0.1. Let x = -0.002 + -0.048. Sort x, t, 5.\nAnswer: t, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 3007100.\nAnswer: -300710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(2\/13)\/p)*p)**(-38) assuming p is positive.\nAnswer: p**(-1406\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**5 - 3*c**4 - 23820*c**3 - 39751196*c**2 wrt c.\nAnswer: 120*c**2 - 72*c - 142920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (113*u - 113*u + 24*u**2)*(-16 + 4 + 0) as n + g*u**2 + r*u and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1314, 1267, 1216, 1155, 1078?\n\"Answer: -n**3 + 4*n**2 - 52*n + 1363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 37\/(-4 + 3)*-1. Let x = w - 27. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*3\/(-7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/21)\/(1\/(-7)). Suppose 3*m + t = 4*m - 14, t = w. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 269012692 to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 10*i**2 + 39*i - 15. Let v be t(-5). What is the greatest common divisor of v and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -288, -2, 6, 8, -12, -4, 3 in decreasing order.\nAnswer: 8, 6, 3, -2, -4, -12, -288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yibx when four letters picked without replacement from {l: 5, b: 1, y: 1, x: 5, i: 3}.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p - 312 = 0. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**2\/7 + 78472*u\/7 - 2830176\/7 = 0. Calculate u.\nAnswer: -19654, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 2172*o**2 - 298080*o + 874800.\nAnswer: -4*(o - 270)**2*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*l = 2*w + 53*l + 155, -l - 235 = 3*w. Is w != -1365\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -52. Suppose -t*c = 6*p - 2*p - 55, -3*p = -4*c + 65. Solve -4*z = 1 - c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123212022 (base 5) to base 6\nAnswer: 20513515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2 + 7*j - 5 + 3 - 7*j**2 + j**3. Let m(p) = 5*p - 9. Suppose 0 = 5*l - 6 - 9. Let r be m(l). What is x(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -2604\nAnswer: -23436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*l = -71*l + 12 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a millennium?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 + 5*n**2 + 7*n + 2. Let s be b(5). Let a be (1\/(-2))\/(16\/2144). Let l = a - s. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*x + 7 - 0 + 225 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*u + 6 - 6.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(3*sqrt(80))\/sqrt(2))\/(sqrt(80)\/((2*sqrt(110) + sqrt(110))\/sqrt(11) - sqrt(10))))**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvqqqvvvvvqvqeqv. Give prob of sequence eqq.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 - 40. Suppose r - 93 = -15. Suppose -3*w = -4*v + 62, 4*w = 5*v - 0*w - r. Calculate the lowest common multiple of d and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkgqxxkkkkxxo. Give prob of sequence kk.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 223 - 377 = 0. Calculate the highest common factor of 30 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41161 + 41185. Which is the third smallest value? (a) 7 (b) v (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056 (base 9) in base 11?\nAnswer: 64a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/233 (b) -43 (c) 2\/7 (d) -0.3 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 - 16*s - 16. Give w(-16).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**3\/3 + 92*w**2\/3 + 2365*w\/3 + 3698 = 0.\nAnswer: -43, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -193\/55800 and -103\/71610?\nAnswer: 4296600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*m**2 - 11*m**2 + 6 - m - 11*m**2 - 5*m**2 in the form k + o*m + a*m**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 11.9857. What is v rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-10)*-8 - (3 - 1). Suppose -g*p = 2*r + 4, -30 = 3*r - 3*p - 0*p. What is the lowest common multiple of (-428)\/(-72)*4 - r\/27 and 20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0439734642 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10905*o - 4565 with respect to o.\nAnswer: -10905","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 129456 and 494016?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -10. Let f = 2 - d. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*c + 7. Suppose -c*z + 6 = -6. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1947 less than -52385038?\nAnswer: -52383091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-9 - (-12 - -8))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2020, 7858, 17580, 31180, 48652, 69990, 95188?\nAnswer: 124240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 + -62. What is the lowest common multiple of 2 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 200309681 - 79444091. Let p = 120865477.999914 - j. Let h = -112 - p. Round h to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 232 and 32896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 26*d - 108. Calculate the remainder when b(11) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 207.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*a - p, -p = -2*a - 12 + 31. Let n be 1*a - (-13 + 15). Suppose n*k - 8 = 4*k. Solve -k*w + 0*w + 16 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 3. Suppose -m + 2*m - u*k - 6 = 0, 0 = 4*m - 4*k - 32. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gww when three letters picked without replacement from fffwgowof.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/88*444)\/((-17)\/(4488\/(-48))).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 20. Suppose t*u = 2*r - 80, 0 = 5*u - 2*u + 15. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 6 (c) 0.2 (d) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30921.\nAnswer: 3, 11, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3892 divided by 2.\nAnswer: -1946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o - 2. Let m be z(-5). Let l = m + 0. Suppose l + 4 = 4*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -119 - -381. Is 21 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85*f**5 - 25*f**4 - 33*f**3 + 28139*f**2 - 3*f - 1 wrt f?\nAnswer: -5100*f**2 - 600*f - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-6*(((sqrt(847) - (1 + sqrt(847)))*6 - (-3 + (2*sqrt(847) - sqrt(847))))*2*-4 + -3))**2.\nAnswer: 532224*sqrt(7) + 7869456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-3\/11))**(4\/17) assuming l is positive.\nAnswer: l**(32\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*-429.\nAnswer: -5577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 11. Suppose 2*h = h - 3*o + 8, z*h - 10 = -3*o. Solve -h*k - 8 = -0*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.06 and -1.6726891067.\nAnswer: -1.7326891067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -259774, -512276, -764776, -1017274, -1269770, -1522264?\n\"Answer: v**2 - 252505*v - 7270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + t - 1. Let w(b) = 5 - 4*b**2 - 5*b - 6*b**2 + 5*b**2 + b**2. Give 5*f(a) + w(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 558.6977 nanometers?\nAnswer: 0.5586977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 167222, 167532, 167842, 168152, 168462, 168772?\n\"Answer: 310*u + 166912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1361061*a**4*q + 2*a**3*q**2 + 6*a**2*q**2 + 9*a**2 + 14*q**2 + 79 wrt a?\nAnswer: 32665464*a*q + 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -15*12\/(-90). Let y(a) = -4*a**2 - 2*a + 1. Let s be y(1). Let r(v) = -v**3 + 7*v**2 - 6*v - 2. Let f be r(6). Sort f, s, n in decreasing order.\nAnswer: n, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i + 29. Let a be t(-8). Let u be ((-5)\/3)\/(a*4\/36). Suppose 0 = u*p + r - 5017, r - 3 = -1. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/6 + (-1)\/3. Let v = 149927999\/176 - 851866. Let h = 35\/16 + v. Do h and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28440.\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 5 = 4*y, 0 = 4*g + 4*y - 0*y - 32 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 35*f**2 - 486*f + 2113. Calculate o(13).\nAnswer: 1710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1050191655 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*t + 25 = 0. Let d be 150\/35 + (-2)\/14*2. Suppose -d*j - 46 = -t*j. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1351 divided by -2?\nAnswer: -1351\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2 - 0 - 2. Suppose -5*r + 0*r - 3*j = 10, -2*r = 2*j. Sort r, t, -4 in decreasing order.\nAnswer: t, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 4*h**2 - 5*h - 5. Let j be t(-4). Suppose -18 = -2*u - 4*q, -u + 4*u + 3*q - j = 0. Solve 0 = c + u - 6, c - 5 = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 20162952*z + 25409039584644.\nAnswer: 4*(z + 2520369)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 248452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26806372?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 690 divide 21342390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 66573707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15306287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**5\/6 + 167*s**4\/3 + 5334*s**3 + 110619*s**2 + 210681*s\/2 = 0.\nAnswer: -153, -27, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 694, 116, -3, -31 in ascending order.\nAnswer: -31, -3, 116, 694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.21 (b) 0 (c) -0.14 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*f + 416 = 0, -4*r - 148 = -f - 485. Calculate the greatest common factor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/189 and 13\/42.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*j**2*w**4 + 430*j**2*w + 29*j**2 - 2*j + 2*w + 44 with respect to w.\nAnswer: -20*j**2*w**3 + 430*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d + 2*d - d - 182*d**2 - 398*d**2 to c*d + q + b*d**2 and give b.\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -135 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 2*d - 12 = 0, 4*a + 4*d + 17 + 19 = 2*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by 6.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k. Let z(t) = t + 94. Calculate z(l(m)).\nAnswer: -3*m + 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*m**4 + 65*m**4 - 33*m**4 - 2*m**2)*(-3 + 3 - 1).\nAnswer: -5*m**4 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 3:07 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -105776.845 rounded to the nearest one thousand?\nAnswer: -106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**2 - 7*g**3 - 3*g**2 + 5*g**2 + 8*g**2.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -95248\/7, -2, -3?\nAnswer: -95248\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1396 + -1395. Let j = -3 + 5. Suppose -z = -0*z - j. Which is the nearest to m? (a) -0.04 (b) 2\/17 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 3*j**2 + 2 - 6*j**2)*(-51 + 51 - 11*j).\nAnswer: 22*j**3 - 22*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 295233 + -493533. What is r rounded to the nearest one thousand?\nAnswer: -198000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13550 + -29040. Round q to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*r - 50. Suppose -880 = -r*f + 820. List the prime factors of f.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from qqqqkhqqqqqqqh.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k**3 + 249*k**2 - 1082*k + 76. Calculate f(45).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -8*y + 4*y + 39, 0 = 4*h + 3*y + 25. Let x = -108 + 115. Let u = h + x. Solve u = -a + 3*w - w - 11, -2*a + 23 = 5*w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -1 - (-2 + (-6 - -6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2725800 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25414339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (0 - -15) - -21?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y + 3*y - 2*y**2)*(-3*y + 2*y + 9*y)*(0 - 5 + 4)*(1 - 2 - 1) as a + o*y**3 + p*y**2 + l*y and give o.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1092 is divided by 169?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 - 19*t + 19*t + 4*t**2 + 2*t**3.\nAnswer: 2*t**3 + 4*t**2 + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 3*s**4\/2 + 2*s**2 + s + 4. Let q be r(3). Let h = -60 + q. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + v**2 + 3*v - 2. Suppose 13*l = 15*l - 6. Calculate m(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 40*g - 107 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4001324 (base 6) in base 15?\nAnswer: -3a5e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**2*g**2*m + a**2*g*m**2 + 2*a*g*m + 12*a*g - 2*a*m**3 + 6*g**2*m**3 wrt g?\nAnswer: -8*a**2*m + 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + (-5 - ((14 - -6) + -7)) - 25.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -13886458?\nAnswer: -3\/13886458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 202*w + 1447. What is the remainder when 12306 is divided by m(-7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/8328123 and 40\/189.\nAnswer: 58296861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -11*f**3 + 87*f**2 + f. Calculate n(8).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.9 in 2\/9, -0.1, 0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 452030137, 452030135, 452030133, 452030131, 452030129, 452030127?\n\"Answer: -2*f + 452030139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 e, and 1 p when four letters picked without replacement from {i: 1, n: 2, e: 2, h: 1, j: 1, p: 2}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172932203 is divided by 95.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from mcmwdyn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 769173305639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 12:29 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/29)\/v*v)**(3\/22))**19 assuming v is positive.\nAnswer: v**(-57\/638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 5774?\nAnswer: 5777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -53*f + 7. Let x(h) = -35*h + 5. Let a(i) = 7*x(i) - 5*z(i). Let y(d) = -d. What is y(a(l))?\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/((-16)\/(-4)))\/((-17)\/(-34))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/1 - 2)*1\/(-2). Suppose -4*w + 440 + 132 = -4*n, c = 4*n - 8. Suppose 575 = 16*d - w. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 8, 1\/2, 1\/4, 5, -3\/32, 2\/309, 3?\nAnswer: 2\/309","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.935 - -14. Let w = p + -0.0649937. Round w to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 110 + 110.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.92 + -1.6. Let z = 0.32000076 - d. Round z to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531*w + 4552 = -6047 - 2676 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -890, -1781, -2672?\n\"Answer: -891*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -10*p + 14 + 19\/24*p**4 - p**2 - 7\/40*p**5 - 2\/3*p**3. Let i(x) be the first derivative of b(x). What is m in i(m) = 0?\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 501202 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + -9 + 23 + 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.00909404 times 134\nAnswer: 1.21860136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d + d + d + 1 - 2. Let k be h(-6). Suppose 0 = k*p - 7*p + 4. Solve 0 = 5*o - 6*f + f - 45, -3*o + 7 = p*f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 5 - 29*a**5 + 18*a**5 - 5*a**4 + 5*a**4 - 2*a**5 + 1 - 1 + a**5 + 2*a**5 + a - a + (-3*a**4 + 2*a**4 - a**4)*(-a - 2 + 2) + a**5 + 3*a**5 - 2*a**5.\nAnswer: -6*a**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4657*z**2 - 3004*z wrt z.\nAnswer: -9314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -207.884 to the nearest integer.\nAnswer: -208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-4 + sqrt(405)*-2 + sqrt(405) + 5 - (-1 + (sqrt(405) - (sqrt(405) - (-1 + (sqrt(405) - (sqrt(405) + 1)) + sqrt(405)))))))**2.\nAnswer: -216*sqrt(5) + 1656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 53 + 6 + 93*s.\nAnswer: 93*s - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*(991 + (-12)\/(-4)).\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -73*q - 561. List the prime factors of y(-48).\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -703098*y**3 - y**2 + 1493.\nAnswer: -4218588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s + 0*s + 0*s + 0*s + s + 0*s + (4 - 6 + 3)*(2*s + 0*s - s) - 4*s + 5*s - 10*s to the form p + n*s and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6345210533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115 - -117. Suppose 8*q + 33 = 3*p + 9*q, -5*p + 44 = -2*q. Solve 4*c - p + u = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/3 + 4 + 24\/(-6). Let g = 45 + -36. Let y = g + -6. Do b and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3326 = -f, -4*l = -2*f + 2964 + 3688. List the prime factors of f.\nAnswer: 2, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 6*g**3 + 735*g**2 + 21*g + 37. Let m(p) = -5*p**3 - 736*p**2 - 23*p - 37. Let k(t) = 3*m(t) + 2*v(t). Find the second derivative of k(h) wrt h.\nAnswer: -18*h - 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -14*m**2 + 226*m - 21. Give t(16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u*u*u**(-2)))**(-1\/55)\/(u\/u**(-3\/8)*(u*u**(-4)*u)\/u))**(1\/27) assuming u is positive.\nAnswer: u**(707\/11880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*h + 13908 - 8298 = 0. Calculate the remainder when 348 is divided by h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*i + 50, -3*i + 0*i - 7 = 5*b. Calculate the highest common divisor of i and 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 5)\/(-2*(-3)\/(-36)). Let g = 106 + c. Suppose 0*l = -2*l + g. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*u + b + 15*d*u + 6*d + 9 with respect to u.\nAnswer: b + 15*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qd when two letters picked without replacement from qdmppmppprhqqrr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((-756)\/(-14))*(-18)\/42.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 p, and 1 t when three letters picked without replacement from {s: 3, d: 3, p: 2, t: 7, j: 1, n: 1}?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 878.1 - 853.1. Which is the smallest value? (a) n (b) -1 (c) -2\/129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26124438 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millennium in years?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 8*l**2 - 5*l - 12. Calculate the remainder when i(-8) is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20\/(-6))\/(6\/(-9)). Suppose 0*w - f*w - 10 = 0. Let l(t) be the first derivative of -2*t**2 + 4*t - 4. Let o(b) = -b + 1. Determine w*l(n) + 7*o(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-2 + 0 + sqrt(2448) - (sqrt(2448) + (sqrt(2448) + 0)*-2)) + -5)**2*-5*4.\nAnswer: -196816 + 6720*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 13 - 27 = 0. Suppose 4*p - f = 2*p. Let g(j) = j**3 + 83*j**2 + 96*j + 1168. Calculate the lowest common multiple of g(-82) and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 421412 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r**3 + 53*r**2 - 44*r - 309. Calculate s(-12).\nAnswer: -789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from akkkknfaknak.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73562 - -113985. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 773*g - 6966. Calculate the lowest common multiple of 1890 and s(12).\nAnswer: 20790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 61 (b) 5 (c) 28680 (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -305. Let y = 313 - g. Solve 0 = w + 1 - y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 - d**2 - d + 1\/4*d**5 + 3\/4*d**3 + 0.\nAnswer: d*(d - 1)*(d + 1)*(d + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5417, 5411, 5397, 5375, 5345, 5307, 5261?\nAnswer: 5207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -760331231 and -1.\nAnswer: -760331232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 28. Let q(k) = -4*k - 168. Let l(t) = -6*p(t) + q(t). Let n(w) be the first derivative of 0*w + 0*w**2 + 3 + 10\/3*w**3. Calculate n(l(o)).\nAnswer: 40*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2142*u + 1331*u + 812*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -w**4 - 1496010*w**3 + 13039471.\nAnswer: -4*w**3 - 4488030*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1407211679?\nAnswer: 43, 911, 35923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdro when four letters picked without replacement from {o: 6, h: 3, d: 2, r: 2}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -11*f**2 - 2*f - 5. Let p(m) = 6*m**2 + m + 2. Let b be (-315)\/(-84)*11\/((-66)\/16). Give b*p(z) - 4*y(z).\nAnswer: -16*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.5 - 1. Let v = 0.8 - l. What is the second smallest value in -1\/4, -1\/6, v?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 e when three letters picked without replacement from {h: 4, e: 3}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 - 0.83556?\nAnswer: -41.83556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**4 + 2*v**4 - 3*v**4)*(16 + 11 + 2).\nAnswer: -29*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-297)\/132)\/(219\/4088*4\/(-2))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 687944 to the power of 1\/2, to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/21)\/((-52)\/(-14) + -4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -37*j - 183. Let s be d(-5). Which is the biggest value? (a) -4 (b) 0.28 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 5*j - 19. Let t be d(-7). Let o(k) = -k**3 - 6*k**2 - 7*k + 2. Give o(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7372037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2120 - -2117. Let r(b) = 2*b - 1 + 3*b**2 - 5 - b**3 - 7*b**2 + 2. Give r(d).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 38616 = 11236. Is 68\/51 + k\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-150)\/(87\/(18444\/(-530)))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or 2\/4699?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 53*a**4 + 6*a**3 - 22*a - 92379 wrt a?\nAnswer: 212*a**3 + 18*a**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*v**3*x**2 + 43*v**3*x + 7*v**3 - v**2*x**2 + 48*v*x**2 + 13*v*x wrt v?\nAnswer: 24*x**2 + 258*x + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216*0.4.\nAnswer: 86.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/y**(-5)*y)\/y)\/y)**(6\/5)\/((y\/y**4)\/y*y*y**3) assuming y is positive.\nAnswer: y**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 5 + 0 - (0 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 908788?\nAnswer: 2, 67, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - 6994384.6.\nAnswer: -6994358.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*a**5*z**2 - 274166*a**2*z**2 - 2496*a*z + 4*a - 148*z**2 - 2*z wrt a?\nAnswer: -760*a**3*z**2 - 548332*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12, -0.5, -1.5, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 + (32\/(-14) - 4\/(-14)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -808, -3407, -7738, -13801, -21596, -31123, -42382?\n\"Answer: -866*y**2 - y + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 452 and 3?\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 + 2085*s. Let h(w) = -142*w**2. What is t(h(f))?\nAnswer: -40328*f**4 - 296070*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(1*sqrt(11))*2*3.\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) -0.5 (c) -3.7 (d) -3 (e) -8 (f) -2\/3 (g) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 - 2*w - 13*w - 5 + 11. Let q be y(7). Let t = 0.22 + 0.08. Which is the closest to q? (a) t (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {t: 14, k: 5, l: 1}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 59135676 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 129472 a multiple of 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 2) + 13 + 16 + -26\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 7*p + 17. Let d be b(-3). Suppose 0 = -2*g - d*s + 11, -4*g + 0*s = -2*s - 10. Solve -5*u + 36 = 4*n, -u + 16 = g*u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 - 3*n**2 + 4*n**2)*(-3*n**3 + 0*n**3 + n**3).\nAnswer: 8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.1 + -5.1. Which is the nearest to -0.1? (a) -0.07 (b) -2\/15 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppvppppppppvp. Give prob of picking 2 v.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 976.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 + -250 - (1 + -2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1403154 (base 6) in base 2?\nAnswer: 10011001010001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8951563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.8 + 7.2. Let p = 8 - 8.2. Which is the nearest to -1? (a) 2\/9 (b) d (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 22, 20, 4, -32?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10412341355 + 14?\nAnswer: 10412341413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(204)\/(sqrt(24)\/sqrt(2)).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4044252 - 4*w**3 + 4044252.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**5 + 2*o**5 - 2*o**5 + (-9*o**3 + 10*o**3 + 16*o**3)*(3 - o**2 - 3) + 25*o + 2*o**5 - 25*o.\nAnswer: -16*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 190, 5 in decreasing order.\nAnswer: 190, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bab when three letters picked without replacement from {a: 4, b: 10}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 28 = -x - 6, a + 3*x = 11. Let q = 471 + -468. Suppose -37 = -5*r + 2*b + 73, 0 = -r + q*b + 22. What is the highest common factor of a and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 16. Suppose -3*d - 5*f = -c, -2*d + 7 = 2*f - 1. Calculate the remainder when 20 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/505820 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/3 - 548*k\/3 - 550\/3.\nAnswer: 2*(k - 275)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 13*i - 6. What is the smallest common multiple of 40 and v(-11)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**5\/60 + b**4\/6 + 2*b**2. Suppose 4*d + 3*n + 27 = 0, -d - 2 - 6 = 2*n. What is the units digit of m(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 520618 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44 in 0.02, -1\/4, -0.2, -10?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 429029.2 millilitres?\nAnswer: 429.0292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20982278.\nAnswer: 2, 10491139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4392400 rounded to the nearest 10000?\nAnswer: -4390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*w = -409*w + 51*f - 177, -2*w + 4*f - 28 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsnnndnkddnsnsdnnsn. Give prob of sequence ss.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3286 is divided by 253.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -14*t - 33. Let p(u) = -12 + 92*u - 193*u + 96*u. Let m(g) = 4*k(g) - 11*p(g). Let b(d) = -2*d**2 + 35*d. Calculate m(b(i)).\nAnswer: 2*i**2 - 35*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**4 + o**3 - o**2 - 2*o - 1. Let u(t) = -9*t**4 - 72*t**3 + 934*t**2 - 16*t - 8. Let p(x) = u(x) - 8*w(x). Find the third derivative of p(q) wrt q.\nAnswer: -24*q - 480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3*j. List the prime factors of -9 + 5 - (j - 37).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6 or 8\/9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/9 and -133\/624.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 2 - ((5 - -6) + -9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/sqrt(3)*-2)\/(-1*sqrt(3)*-1).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -8*j + 0*j**2 + 2 + 11\/3*j**3. Let n(c) = -11*c. Give 6*i(u) + 13*n(u).\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**3\/3 + b**2\/2 + 6*b - 4. What is d(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132031100 (base 4) to base 5.\nAnswer: -12424403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -216 - 217 - 1787*p + 433 + 12843*p to y*p + k and give y.\nAnswer: 11056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3932481 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 655.5298g in milligrams?\nAnswer: 655529.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 368\/(-46) - (-66)\/8. Factor -1\/4*c + 1\/4 + s*c**4 + 1\/2*c**3 - 1\/4*c**5 - 1\/2*c**2.\nAnswer: -(c - 1)**3*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -9*n - 16. Let y = 710 + -622. What is the remainder when y is divided by s(-7)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77 (base 12) to base 7.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -10. Calculate the smallest common multiple of 9 and x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -1 + -3 + 50. Suppose -3*w + j = -2*w. What is w rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*t - 5 - 6*t**2 + 34*t + (-8 + 6 - 6)*(-t**2 - 3*t**2 + 3*t**2) + t**2 + 4*t**2 - 3*t**2.\nAnswer: 4*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14 (b) 16.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 5*j - 4. Let o(a) = -2 + a**2 + 2 - 4*a + 1. Let p be o(2). Let s be b(p). Solve -s*n - 1 + 5 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51912)\/2472*41\/(-21)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -k - 8, 0 = 4*r + 2*k + 14 + 18. Let f be (0 - -2)\/((-2)\/109). What are the prime factors of (f - r)\/(0 - 1)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 504 and 7.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.212228 to three decimal places.\nAnswer: 4.212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + 1. Let z(d) = 5 - 4 + 2*d - 7*d - g*d. What are the prime factors of z(-2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2526 + 2526.06471. What is m rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (54\/4)\/(12\/32). Determine y so that -11 + 0*y**3 + 11 + 24*y**4 - b*y**2 - 8*y - 28*y**3 = 0.\nAnswer: -1\/2, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/3)\/(2\/3). Suppose -5*v + 2 - 22 = 0. Which is the second smallest value? (a) v (b) -1\/9 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 135*d + 2*d**2 - 135*d. Let p(t) = 4*t. What is p(n(i))?\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -55\/5616?\nAnswer: -55\/5616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*s**3 - 37*s**3 - 11*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -87819353 and -1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 139\/6. Let c(s) be the first derivative of 0*s + i*s**6 + 0*s**3 - 1 + 0*s**5 + 0*s**4 + 2*s**2. What is the second derivative of c(v) wrt v?\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 1 = t - 2*p, 0 = 3*t + 4*p - 26. Solve t*y + 9 = -c, -17 = 3*y + 3*c + 2*c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4412752l to millilitres.\nAnswer: 441.2752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + 61. Let v be d\/(-9) + 12\/(-54). Let b = -10 - v. Put 2, b, -6 in ascending order.\nAnswer: -6, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 237842938 to the nearest integer?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -2181\nAnswer: -8724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 753 by -12.\nAnswer: -251\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21377, 21378, 21367, 21338, 21285?\n\"Answer: -o**3 + 8*o + 21370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 1)*(10 + (-182)\/6 + 15)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**4 - 26*j**3 - 4*j**2 - 2*j + 700. Let h(n) = 3*n**4 + 77*n**3 + 14*n**2 + 7*n - 2101. Let i(c) = 2*h(c) + 7*t(c). Differentiate i(v) wrt v.\nAnswer: -4*v**3 - 84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -12. Suppose -2*l - 14 = 0, 4*h - 394 = 12*l - 10*l. Suppose h - 23 = r*b. Solve 3*a + b = -3*s, 3*s = -s - 3*a - 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 - 5*j**2 - 6*j + 30. Let q be (-1)\/3*-25 - (-13)\/(-39). List the prime factors of y(q).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**2 + 20*d - 100 = 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 + 6*l - 6*l)*(1 - 7 + 2)*(36 + 22 + 13).\nAnswer: 284*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140811164.\nAnswer: 2, 13, 1319, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p - 19 = 25*p - w, 4*p + 22*w - 76 = -14 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/3*-6*(-1)\/(8\/6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7\/1557 + 109495\/3114. Let f be (-4)\/(-22) + (-3422)\/66. Let o = p + f. Find the common denominator of o and 89\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from fvwbhzfz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1439 - -1439.0000004205. Round w to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -169 - -168.33. Let w = l + 0.7. Let d = w - -0.07. Which is the third smallest value? (a) -0.4 (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 2*v + 217. Let f = 81 + -81. List the prime factors of h(f).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2\/5 (b) -34 (c) 2\/11 (d) -1849 (e) 1 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**4\/4 + 133*t**3\/2 + 6961*t**2\/4 - 133*t\/2 - 1740 = 0. What is t?\nAnswer: -24, -1, 1, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73\/4 + 18. Let h = 8 - -2. Let w = h + -9. Which is the closest to w? (a) -4 (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*9*(-61 + -4). Suppose q - 185 = 4*s. Round s to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573431 a multiple of 593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (14 - 13) + (10 - (5 - -14))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13935.\nAnswer: 3, 5, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -0.6 (c) 1\/54 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48.9 + -51. Let n = w - -0.1. Which is bigger: n or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*k**2 + k + 5*k**4 - 10*k**2 + 21*k**2 - k**2 - 4*k to s*k**3 + t*k**2 + r + p*k + o*k**4 and give t.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*g**2 - 6*g**2 - 3*g**3)*(-13 + 3 - 2) in the form n*g + o*g**2 + j*g**3 + y and give j.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 3. Let p be (-9)\/(-7) - 2\/v. Are 1\/9 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*u + 3*c, -3*u + 3*c = 5*c - 8. Factor -u*w**2 + 6*w - 316 + 316.\nAnswer: -2*w*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 324827, 324834, 324843, 324854?\nAnswer: 324867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 62*j - 60. Let k be l(1). Let p = -14 + 32. What is the greatest common divisor of p and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -23.98. Which is greater: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356*n**2 - 117*n**2 - 117*n**2 - 120*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/(x**(-1)\/x*x))*x))**(18\/11)\/(x*x**(1\/4)*x*x**(-4)*x)*((x*x\/(x\/(x**(-4)*x))*x)\/(x*(x\/x**(-4))\/x*x))**18 assuming x is positive.\nAnswer: x**(-5439\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.93 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/(-3)*8\/(-224)*-2 and 2\/(-1) + 101\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/618222 and -113\/5610.\nAnswer: 3091110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m - 3. Let i(y) = -1. Let z(p) = -4*i(p) + l(p). Let t(v) = -v. Give -3*t(o) + z(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9505 - 4922. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.61 - -6.01. Which is the biggest value? (a) -35 (b) 1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4*a**4\/5 + 144*a**3\/5 - 136*a**2\/5 - 144*a\/5 + 28 = 0.\nAnswer: -1, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**3\/3 + 389. Let y(o) = 3*o - 33. Determine y(r(m)).\nAnswer: -3*m**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 6*u + 10. Let q(o) = -o - 9. Let p be q(-3). Let m(b) = b**2 - b. Calculate the lowest common multiple of m(-3) and w(p).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**5 - 23*p**6 - 18*p**2 + 27*p**6 + 0*p**5 wrt p?\nAnswer: 480*p**3 + 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**6\/120 - v**5\/10 + 5*v**4\/24 + 7*v**3\/6 + 21*v**2. Determine n(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - ((-90)\/1125 - 992\/100).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**2 - 9*w + 0*w**2 + 6*w**2 - w**2. Is d(8) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 193060119 to the nearest ten thousand.\nAnswer: 193060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 2\/7, 750, -2\/13?\nAnswer: 750","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3007 times 737\nAnswer: 221.6159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.092 + 1.092. Let j = -1.12 - 0.08. Which is the third smallest value? (a) m (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 798 = -p, -p = 4*l - 0*l - 633. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - p = 10, -66 = -12*w + 3*p - 18 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 175*g**5 - 49345*g**4 - 404815*g**3 - 764315*g**2 + 47400*g + 130500 = 0.\nAnswer: -5, -3, -3\/7, 2\/5, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -105a7 - 132?\nAnswer: -10719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkkqvrazrrrzzqzkkz. What is prob of sequence aq?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.03 (b) 894034 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kckckrcrckk.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - 0.8. Let i = 0.025 + -0.225. Sort -3, i, b in ascending order.\nAnswer: -3, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 1 (c) 6 (d) 0.86\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 2:36 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((sqrt(12) - sqrt(36)\/sqrt(3)*5) + sqrt(12) - sqrt(12) - -6*(sqrt(12) - sqrt(108))))\/(sqrt(864)*-2 - sqrt(864) - (-2*sqrt(294) + sqrt(6))))**2.\nAnswer: 18432\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1788*w**3 + w**2 + 1254*w + 5138231 wrt w?\nAnswer: 5364*w**2 + 2*w + 1254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 10*q = -3*j + 4, 2*j - q = 2. Let p(v) be the second derivative of 7*v + 0 - 14\/15*v**6 - v**5 + j*v**2 + 2\/3*v**4 + 0*v**3. Factor p(k).\nAnswer: -4*k**2*(k + 1)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 188 = -q. Let v be 816\/(-10) + 8\/(-20). Let c = q - v. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12078995\/(-1575) + (-6)\/15. Let b = x - -7669. Calculate the common denominator of 22\/45 and b.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1670 and 835.\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 6 - 5)*(-2*r - r + r) + (2*r + 5*r - 4*r)*(10 - 29 + 31) + (0 + 0 + 1)*(0 + r + 0) to the form g*r + y and give g.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*g + 334*g = -159*g - 5760 for g.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2 - (-28)\/(-11)) + -1 and 11\/(5\/(10\/(-14))).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, e: 1, h: 4, w: 11}. What is prob of picking 1 e and 1 i?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, 470\/11, 5, 36?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/4, 2\/3, -5\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1787, 1771, 1745, 1703, 1639, 1547?\n\"Answer: -f**3 + f**2 - 12*f + 1799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -x**3 + 0*x + 0 + 1\/60*x**5 - 1\/24*x**4 + 5*x**2. Suppose t(m) = 0. Calculate m.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29955*h - 16427.\nAnswer: -29955","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 232 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-182)*9\/3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 7 - m - 10*m**3 - 6 + 9*m**3. Let a(j) = -j**2 + 2*j - 2. Give a(v) + 2*o(v).\nAnswer: -2*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + ((-1400)\/(-45))\/8?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38*s**2 + 36*s**2 - 80*s**2 + (2*s + 4*s - 4*s)*(-5*s + 4*s + 2*s) - s**2 + 5*s**2 - 2*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 40214.56 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -54 in descending order.\nAnswer: 2, -1, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 30. Let x(u) be the third derivative of 0*u**5 + 0*u**4 + 1\/420*u**7 + s*u + 0 - u**2 + 1\/240*u**6 + 0*u**3. Factor x(g).\nAnswer: g**3*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.194946, -1\/4, 8, 6 in decreasing order.\nAnswer: 8, 6, -0.194946, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -245*x**2 + 6580*x - 44180.\nAnswer: -5*(7*x - 94)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - w**2 + 1. Let y(s) = 4*s**3 + 20*s**2 - 5. Calculate 6*p(k) + y(k).\nAnswer: -2*k**3 + 14*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231, 461, 691?\nAnswer: 921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 6) to base 12\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.85 + -1.8005. Round q to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -10. Let c = 0 - y. Suppose -4*u - t + 3*t + 42 = c, -4*t = -2*u + 12. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -164, 13, 2, 0.8, 3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 1. Suppose 0 = -3*z - 3*n + 18, -3*z - 2 = -5*z + 3*n. Let d(y) = 2*y**2 + 4*y. Determine z*s(o) + d(o).\nAnswer: 2*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28153376 rounded to four dps?\nAnswer: 0.2815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -4*d - 30*x + 24*x, 3*x - 6 = 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/50)\/((3\/5)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*h - 2*h. Let z be 4 + ((-20)\/4 - h). Factor 5 - 3*r**3 - 6*r**2 - 4 - z.\nAnswer: -3*r**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1233 (base 4) in base 12?\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6*m = -3*o - 72, 0 = 5*m + 2*o - 106. Calculate the highest common divisor of m and 1342.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 841117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1306 is divided by 1179?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-4)*1833\/235)\/(((-30)\/28)\/(-5))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*s = 282 - 142 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-2) - (-63 - -63). Let x(z) = z**3 + z**2 + 2. Suppose -4*l + 2 = -2*a, l - 5*a - 5 = -0*l. Let w be x(l). Solve u = m + w*m + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 8*m + 6*m - 19, 25 = 3*o - 5*m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9090042*w + 9090045*w + 1 - 1.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 + 577370*q**2 + 9236640*q.\nAnswer: 5*q*(q + 16)*(q + 115458)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 7:19 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f. Let t(b) = b - 3. Let p be t(4). Let x = p + 1. Let r be ((-15)\/(-6)*x)\/(-1). Let m(l) = -l. Calculate r*m(u) - 6*s(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1494)\/(-470) + 241\/11327\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -8*d**3 - 12*d**2 + 171. Give q(4).\nAnswer: -533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282, 268, 232, 162, 46, -128, -372?\nAnswer: -698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8281106404 - 2423?\nAnswer: -8281108827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -t + 4, 0 = w - 4*t + 7*t + 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2207269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -12485738*n. Let k(r) = 8*r**2. Calculate k(c(l)).\nAnswer: 1247149227237152*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**4\/24 - 32*t**2 - 3*t. Let b(s) = 30*s**2 - 3*s. Calculate -b(l) - 3*k(l).\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1047576, -1047583, -1047590, -1047597?\nAnswer: -1047604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -32, -53, -86, -131, -188, -257?\n\"Answer: -6*z**2 - 3*z - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-14)*4\/12*-3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2200\/(-242))\/(-25) - (-161)\/11?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -2\/3, 12 in descending order.\nAnswer: 12, 3\/2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*a**3 + 2691438*a**2 - 258704673183*a - 739178180180.\nAnswer: -(a - 192247)**2*(7*a + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 525 and 2325?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.2, -0.42, 243?\nAnswer: 243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (220 + -151 + -190).\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/351*(-9)\/6.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 5 + -10 - -1 - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 12:05 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56 - -14. Let n(o) = 11*o - 5. Suppose -9*z + 6*z + 9 = 0. Let u be n(z). Calculate the highest common divisor of u and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 21 = -5*q, 6*q + 2*y = 3*q - 13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -19. Let j = 14 - h. Which is the third biggest value? (a) 0 (b) 3\/4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 4 - 6)*(-p + 2*p - 3*p) + 28*p + 87 - 90 - 30*p + 3 - p - 3)*(3*p - 3*p + 2*p).\nAnswer: -10*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 780 = -0*p. Calculate the remainder when p is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(171) + -2 + -4)**2 + 2.\nAnswer: 144*sqrt(19) + 2774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**3 - 3*b**2 - b - 4. Let i(m) = -m**3 - 4*m**2 + 4*m + 3. Let f be i(-5). Suppose 0 = 4*n - 5*p - f, 2*p + 2 = n - 3. Is r(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -38.5. Which is the fourth biggest value? (a) -4 (b) t (c) -1\/3 (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33965931 divided by -11321977?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-6 + (-91)\/(-21)). Solve d*g - 5*u - 5 = 2, 4*g - 2 = 3*u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 4 (c) -28.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -29*m**2 - 3*m + 35. Let b(l) = -16*l**2 - 2*l + 19. Let w(u) = -11*b(u) + 6*k(u). Let g = 6 + -3. Suppose 2*j = g*j + 3. Determine w(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 8 = 3*x. What is the least common multiple of x and (20\/(-15))\/(12\/(-198))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 n when three letters picked without replacement from {n: 9, s: 7}.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2*d + 5)*(110514*d + 504*d**2 - 110514*d).\nAnswer: 1008*d**3 + 1008*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 1\/4, -139, -0.3, 2\/15, -45\/11, 0.07?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70 + -65. Let r = 8 - 6.5. Let z = r + -2. Which is the smallest value? (a) w (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86908183 and 3101?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/2897 + -95629\/40558. Calculate the common denominator of 1\/441 and o.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102 and 4250?\nAnswer: 12750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 10*k + 6 = 0. Suppose -5*f = l - 27 - 62, -f = -k*l - 9. Let m = 30 - f. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -157.571913*0.1\nAnswer: -15.7571913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-175)\/(-49) - (-4)\/(-56)*-6. Solve 4*v = k*h + 32, -h + 5 = 5*v - 11 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 9*l = 231. Calculate the remainder when l is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/122 and -123\/145180.\nAnswer: 145180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 116689763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 830, 2841, 6034, 10403, 15942, 22645?\n\"Answer: -p**3 + 597*p**2 + 227*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232699 is divided by 374?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379*p**2 - 98*p**2 - 67*p**2 - 76*p**2 - 117*p**2.\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*q - 7. Is q bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 43, 1\/7 in ascending order.\nAnswer: -16, 1\/7, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/35, 3, 0.07 in ascending order.\nAnswer: 1\/35, 0.07, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3059)\/(-56) - -4 - (-45)\/120 - -4\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p**2 + 9*p + 2. Let k be h(0). Solve 3*g + 5*r = 11, -11 = -g - k*r - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2329 and 131383.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -608*u**2 - 434*u**2 - 2*u + 21 + 332*u**2 - 463*u**2.\nAnswer: -1173*u**2 - 2*u + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9\/10 of a micrometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 10\/11?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 z, and 2 g when four letters picked without replacement from ooozuoguug?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m + 19 - 124 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 160 - 239\/2. Let k = -607\/7 + 548\/7. Find the common denominator of o and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423 is divided by 164?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1943, 1935, 1929, 1925, 1923?\n\"Answer: l**2 - 11*l + 1953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l**2 + 0 - 2*l**2 + 9*l**2 + 2.\nAnswer: 25*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) -0.02 (c) -38774 (d) -18 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*v - 46*v - 24. What is the greatest common divisor of v and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 54, 132, 250, 414, 630, 904, 1242?\nAnswer: 1650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-65)\/(-3)*(-6216)\/(-370)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*c = 3*c - 3877, -4*l = 2*c + 5166. Let b be l\/(-18) - 4\/(-18). What is the greatest common factor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**4 - 57*a**2 - 622. Let v(q) = -q**4 + 59*q**2 + 621. Let p(s) = -6*t(s) - 5*v(s). Differentiate p(c) with respect to c.\nAnswer: -4*c**3 + 94*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -j - 3*j - 10, 3*j + 4*x + 14 = 0. Let k be (3\/j*-2)\/(3\/5). Suppose 4*t - k*f - 25 = 0, 0*t - t = f + 5. Solve -2*l + 0*l - 8 = t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 68\/20 + 3\/5. Let i = -38.7 + 39. Which is the biggest value? (a) -4 (b) i (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b - b + 0*b)*(-40 - 51 + 227) + (2*b - 3*b - 2*b)*(1 - 4 + 1) in the form o*b + z and give o.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d**2. Let q(j) = -6*j**2. Calculate b(q(a)).\nAnswer: -216*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 divided by -3?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -54 + 53 - (-1 - (-14 + (11 - 1)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352*w - 332*w - 93960 = 0. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -167738?\nAnswer: -5\/167738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104 - 104. Suppose i*a - 2060 = -4*j - 4*a, -j + 540 = -4*a. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**0*(x**(-1\/5)\/x)\/x)**(1\/17) assuming x is positive.\nAnswer: x**(-1\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 2*s - 3*s)*(-4*s**2 + 2*s**4 + 4*s**2) + 0 + 0 - 2*s**5 + 26*s**5 - 176 + 176.\nAnswer: 28*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1626 by 191.\nAnswer: -1626\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259*v - 231*v - 107608 = 173260. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9*(3 + 16\/(-6)). Let n(m) = -m**2 + m. Let j be n(1). Suppose j = -h + 30 - 35. Put 2, h, c in descending order.\nAnswer: 2, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 30. Let z be -4 + y\/((-27)\/30). Suppose -5*l + 81 = z. Solve t = -h - 3*h - l, -12 = 3*t + h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 438 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 divided by 7?\nAnswer: -131\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -288*u**4 + 919*u**3 - 739*u**2 + 104*u + 4 = 0. What is u?\nAnswer: -1\/32, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -98.9 - -106.39. What is n rounded to one dp?\nAnswer: 7.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 9*t**2 + t. Give f(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 52514*t + 14126268. Give j(-269).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26337 less than 13?\nAnswer: -26324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 300954888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 448, 447, 446, 445?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 2\/(-3)*-303. Suppose -3*z + d = 2*z - 3*q, -4*q + 91 = 3*z. Let w = -622\/105 + 61\/15. Calculate the common denominator of w and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 4*q - 1913248, -59*y = -57*y - 4*q - 956678. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -9746*q**2. Let n(u) = -41*u**2 - 2. Give n(s(l)).\nAnswer: -3894365156*l**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85*(-1)\/(-4)*161\/((-56350)\/(-140))?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/65)\/(o*o**(-19)*o))\/(o**(-17)\/(o**(2\/87)\/o)) assuming o is positive.\nAnswer: o**(186919\/5655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 0*n + 20*n)*(-3*n + n + n) + (1 - 1 - n)*(n + n + 0*n).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -5*h + 3*k, -5*h = -2*h - 3*k + 24 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 376 in 1, 9, 19, -5?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -15*p**3 + 5*p**2 + 6*p - 5. Let y(v) = 8*v**3 - 3*v**2 - 3*v + 3. Determine 3*t(h) + 5*y(h).\nAnswer: -5*h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 - 2051*d + 83 - 160.\nAnswer: -2051*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (-8 + (282 - -24))*(-1 + 18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 19*c + 14. Let q = 51 + -37. Let o be t(q). Suppose -6*j = -13*j + o. What is the remainder when 34 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49068 and 2211444?\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1172.2 - -968.2. Which is the biggest value? (a) -12 (b) -4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.663 take away 8946222?\nAnswer: -8946218.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by -9.\nAnswer: 64\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 divided by -28.\nAnswer: 25\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 0. Let z be m\/2*-2 + 6. Suppose -r - 6 = -32. Solve 0 = z*s - 11 + r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 21*a**2 - 46*a - 49. Calculate h(-19).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/37)*l**6 assuming l is positive.\nAnswer: l**(224\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 2:06 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 877, 1690, 2491, 3274, 4033, 4762?\nAnswer: 5455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304 - 304 + 42*n.\nAnswer: 42*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 681 in 0, 0.03, 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gggbbgbbbgbggggggg?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3293798776 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 205 = 2*k + 51, -a + 24 = -3*k. Calculate the least common multiple of a and 183.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/20 and -1\/1795754.\nAnswer: 17957540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -14\/2481, -0.3 in increasing order.\nAnswer: -0.3, -14\/2481, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**5 + 0*d**5 + 0*d**5 + (2*d**4 + 4*d**4 - 4*d**4)*(d + 0*d + d) - 2*d**5 - 3*d**4 + 3*d**4 + (5*d**4 - d**4 - 3*d**4)*(-10*d + 23*d - 8*d).\nAnswer: 9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1033 divided by 105\nAnswer: 1033\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -33*t + 522 - 25. Solve -19*w + 5 = -t*w - 5*p, 0 = -2*w + p - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/1 - (52 - 47).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 14 + 18*h**2 - 13.\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*g + 543*g + 734*g - 153*g.\nAnswer: 1196*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**5\/60 + 156*m**2 + 1. Let l(g) = -198*g**2 - 1. What is l(z(v))?\nAnswer: -198*v**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - -3190.191?\nAnswer: 3190.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 170667 times -5?\nAnswer: -853335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - 0. Let q = g - 0. Is q\/(-15) - 43\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.06 - 0.14. Let y = 1.64 + m. What is y rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 + -31 - (0 + -2)) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -50, -693, -2440, -5843, -11454?\n\"Answer: -92*f**3 + f + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 595\/8 - 599\/8. What is the second biggest value in 5\/3, d, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**3 - 5*t**2 - 6 - t**3 + 2*t**3 + 5*t + 0*t**3. Let c be q(-6). Suppose 0 = 5*u - 20, c*g - 2*g + 3*u - 6 = 0. Solve 1 = -g*l - 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z = 36. Let k be ((-15)\/(-12))\/(-1*(-3)\/z). What is the second biggest value in k, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*w**3 + 6*w - 6*w + (0*w**2 + 2*w**2 - w**2)*(4*w - 6*w - 4*w) in the form t + h*w**2 + v*w + m*w**3 and give m.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17827, -17828, -17829, -17830?\n\"Answer: -w - 17826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*i + 5 = v + 56*i, -3*v = 5*i + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4400, 4047, 3694, 3341, 2988?\nAnswer: 2635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -385*i**4 + 100*i**2 + 1 wrt i.\nAnswer: -9240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*y**3 - 2894272*y**2 + 348162154 wrt y.\nAnswer: -45*y**2 - 5788544*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**2 + 8*x + 39. Let b be a(-5). Calculate the least common multiple of 330\/b*138\/10 and 7.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35234*f**3 - 82912*f**3 - 19488*f**3 - 3556*f**3.\nAnswer: -141190*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 6 + 10. Let x be -2 + 3 + (-2)\/(-1). Let k be (5 - x)*-11*-4. Calculate the greatest common factor of q and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -2. Let r be f - 2\/(6\/(-9)). Solve -r*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f + 543006 - 2229096 = 0. What is f rounded to the nearest one thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9638400 and 384?\nAnswer: 9638400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (31*t - 83*t - 24*t)*((-2 + 0 + 4)*(4 - 5 - 1) + 1 + 1 + 1) in the form k + x*t and give x.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.79 + -21.39. What is the fifth smallest value in i, 0, 0.5, 102, 1?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 1. Let p(z) be the first derivative of 3*z**4\/2 - 4*z**3 + 10*z + 49. Calculate -12*a(m) - p(m).\nAnswer: -6*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -75 + 74.915. Let i = -1.235 - h. Let s = i + 1.1499714. Round s to 6 dps.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9623, -38507, -86647, -154043, -240695, -346603?\nAnswer: -471767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 664893335 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.039, -637, 5?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 1188520*j**3 - j + 1188519*j**3 - 2377046*j**3.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7a7 - 462?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 116 and 18734.\nAnswer: 37468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 925420 by 605.\nAnswer: 185084\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/22))**(-5\/3)\/(m**(3\/7)*m)**(31\/4) assuming m is positive.\nAnswer: m**(-2575\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, -2, 13, 0.4 in ascending order.\nAnswer: -2, -2\/21, 0.4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 + x - 1. Let l be u(1). Let r(q) be the third derivative of 3*q**6\/40 - q**5\/15 + q**4\/12 - 3*q**3\/2 + 49*q**2. Is r(l) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 146 = 5*i, -2*i = -3*q + 7*q + 160. Let m = -41 - q. What is the remainder when m + -3 + 780\/5 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r. Let u(o) = -4*o - 1. Let p(a) = u(a) - 2*y(a). Let g be p(-1). List the prime factors of (14 - 3)\/g + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 16 = 32 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8466.\nAnswer: 2, 3, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 6*v**2 - 4. Let c be g(6). Let u be (1\/c)\/((-11)\/(-8)). Which is bigger: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 334113 and 201279?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w*z**2 - 266*w*z + 281*z**5 wrt z?\nAnswer: 4*w + 5620*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 1522753\nAnswer: 3\/1522753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 7*t**2 + 58*t + 40. What is the lowest common multiple of b(-10) and 2?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*(-5 + (6*1*sqrt(567) - sqrt(567) - (-4*(sqrt(567) + 0) + sqrt(567)))))**2.\nAnswer: -6480*sqrt(7) + 326818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-2)\/12*1*(-49)\/14?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27\/6 - 8\/(-16)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*g)*(-49 + 0 + 11) + (-4 + 4 + 4)*(g + g + 5 - 4) + (0*g + g + 2*g)*(2 + 6 - 5).\nAnswer: 93*g + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 12:01 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.4 (b) -0.8584 (c) 7 (d) -9\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*c + 0*c + 3*c)*(-c + 0 + 0) + (-c - 3*c + 5*c)*(2*c + 2*c - 3*c) + 3*c**2 + c**2 - 2*c**2)*(-25 + 13 + 32).\nAnswer: 40*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.07935 (b) 34.7 (c) 0.2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1801306 and 124228?\nAnswer: 3602612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-3)*(-9 + (-105)\/(-7))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/65)\/((64\/(-20))\/(-1)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-3)*(-6 - -11)*(-693)\/210. Let u(h) be the first derivative of h + 29\/2*h**2 - s. What is the derivative of u(f) wrt f?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (312\/(-30))\/(8\/(-30)). Solve -5*p - u = 3*v - 12, 21 = -3*p - 3*v for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-4)*(-4)\/39. Let q be 4 + -2 + -2*1. Let g be 5 - 6 - (q + -2). Is t <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18730 and 30980.\nAnswer: 58025540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*h - 44330000 = -39*h. What is h rounded to the nearest 100000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -5*m, -m = 3*m - 2*a - 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 30 - (68\/18 - 0)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4070, 6939, 9808, 12677, 15546, 18415?\nAnswer: 21284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 8076 and 362 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g + 6. Let v(y) = 16*y + 17. Let x(m) = 8*i(m) - 3*v(m). Let n be x(-1). Solve -n*u + s = -2*s, -3*s + 21 = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 351 and 174769569.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, m: 1, v: 1}. Give prob of sequence mzv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4753 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**2 + 302*m - 892. Let q be y(96). Calculate the greatest common factor of q and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133 - -256. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120814 and 406?\nAnswer: 845698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 f, and 1 c when three letters picked without replacement from {q: 1, f: 1, n: 1, c: 1, m: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5110 = -l + 5*u, -l - 3*u + 0*u = -5142. Suppose 0 = -101*y + 106*y - l. List the prime factors of y.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*5\/108)\/(((-20900)\/(-342))\/(-55)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5634 + -5632. Let a(j) be the first derivative of 11 + 4*j**b - 12*j - 4\/9*j**3. Find r, given that a(r) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 19 + 5*i**2 - 377*i + 377*i. Is v(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14139 divided by -7\nAnswer: -14139\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61133436.\nAnswer: 2, 3, 7, 13, 18661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -75 + 1 - 26 - 254*b + 259*b. Let w be k(21). Solve 7 = -w*f - 13 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 100.267 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 66 - 96 = 0. Solve g + 9 = -2*f, 4*f + z = 2*g + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*d = -52690 + 55290 for d.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1763084*g**2*j*s**3 - g**2*j*s**2 + 7*g**2*s**3 - 5*g**2*s**2 + g*j - 1067*g*s**2 - 12*j wrt s.\nAnswer: -10578504*g**2*j + 42*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-17))\/(j\/(j\/(j\/j**21))))**(15\/4) assuming j is positive.\nAnswer: j**(285\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (151\/(-1))\/((-20)\/4 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 1. Let b(m) = m**2 - m - 3. Let s(l) = -b(l) + 2*z(l). Let x be s(4). Let d be -2*x*3\/6. Solve 2*h + d*h = 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 178 + 258 = 2*k, -2*k = -n - 439. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**3 - 4*i**2 + 2*i - 1. Let n(t) = -13*t**3 + 17*t**2 - 9*t + 4. Determine -9*f(c) - 2*n(c).\nAnswer: -c**3 + 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -527, 2, 1, 0.\nAnswer: -527, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -5*d**8\/336 - d**6\/10 + 7*d**5\/4 + 315*d**2. Find the third derivative of k(g) wrt g.\nAnswer: -300*g**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3845, 9\/4, -22, 2\/15 in increasing order.\nAnswer: -22, 2\/15, 9\/4, 3845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 9:47 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275116 + 275116 - 22*b**2.\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**2*z + 3*c*x*z + 142*c*z - 2*x*z + 116*z with respect to c.\nAnswer: 4*c*z + 3*x*z + 142*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 46 = -14. Solve l*g + 16*g = -21 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 23 = -3, -5*j - 13 = 4*q. Suppose -q*a = a - 108. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/80 and -115\/224.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 1, -2\/11, 2\/1078467, 2, 0.1, 1\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 218.62ng in milligrams?\nAnswer: 0.00021862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.02 (b) -1\/9 (c) -4\/9 (d) -9 (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/9*1542\/4112?\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 38*t**2 + 15*t - 14. Calculate the remainder when 145 is divided by m(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.650408 litres to millilitres.\nAnswer: 9650.408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31953686 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2750446524 and 3360.\nAnswer: 2750449884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506413 is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92727 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((0 + sqrt(320))**2*-4 + sqrt(320) + 2 + 3) + -4.\nAnswer: -1279 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-486)\/(-405)*(-11610)\/(-4).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6328?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 3 + 2)*18\/(-4). Let l(b) = -b**3 + 12*b**2 + 17*b - 7. Is l(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 670272*v**3 - 145*v**2 + 145*v**2 + 117743*v**3.\nAnswer: 788015*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 64\/11 + -1. Let f = -325 + 330. Is g > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6*4\/40)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-11 - (-18 + 21)) + 4 - 61.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.28216357124 to 5 dps.\nAnswer: -0.28216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*k - 3, 3*x + k + 7 = -4*k. Suppose -j = -m + 3 - 0, -5*m + 3*j + 5 = 0. Let w be 1\/((-2)\/44*m). Calculate the highest common factor of w and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p\/p**(-2))\/p)\/p)\/(p\/p**7))\/(p*((p**(-1)\/p)\/p)\/p*p**(2\/7)))**(-1\/43) assuming p is positive.\nAnswer: p**(-68\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25376 + -25375.9999988629. Round z to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-774)\/108)\/43)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 9. Let r be p(-6). Suppose -r*l + 20 = l. Let s be (80\/100)\/(2\/l). Solve 4*o - 4*m = 12, 3*o - 1 = s*o + 3*m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/(-280)*-4*5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000078424 rounded to six decimal places?\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -702340, 1\/3, 3 in ascending order.\nAnswer: -702340, 1\/3, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(46*i - 46*i + 7*i**3) + 4*i**3 + i**3 - 3*i**3 + 1 + 2*i**3 - 1.\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -49, -46244.\nAnswer: -46244, -49, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -611 by 208.\nAnswer: -47\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2223209 and 323.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -109, -186, -263?\n\"Answer: -77*h - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 53743311*t**2 - 214973280*t - 214973292.\nAnswer: 3*(t - 17914441)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = l - 4*b - 18, 0 = 2*l - 2*b - 14. Suppose -j - 2 = 0, 5*v + 4*j = 2 - 0. Calculate the remainder when l is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105 - 95. Let d(c) = -c**2 + 32 - 30 + 14 - f*c. Let a be d(-11). Let x(p) = 2*p - 6. Give x(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**7\/140 + n**6\/720 + n**5\/6 - 30*n**2. Let g(y) be the third derivative of j(y). What is the units digit of g(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108350526.\nAnswer: 2, 3, 353, 51157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.92983 times 3.8?\nAnswer: 144.133354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 + 4345?\nAnswer: 4362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 34*n. Let p(j) = -j**2 - 2. Let b(r) = 4*r**2 + 20. Let g(f) = -b(f) - 10*p(f). Calculate a(g(m)).\nAnswer: 204*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**4\/4 + 11*v**3\/3 - 5*v**2 + v - 28. What is the remainder when i(7) is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 5*t + 4. Give v(-9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8*p - 9. Is r(10) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21818852*n**4 + 20242164*n.\nAnswer: 261826224*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 165 divided by 1110\nAnswer: 11\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 361957567 to the power of 1\/2, to the nearest integer?\nAnswer: 19025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/576 and -41\/432.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -506 (c) -80247\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - -1.2. Let p = 1.1 - q. Let o = -49.95 - -49.75. Which is the second biggest value? (a) -2\/17 (b) o (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + i + 8, 0 = 2*p + 5*i - 10*i - 8. What is the closest to 0.2 in p, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + q + 5. Let m be r(0). Suppose 2*w + 3*n = 18, -2*n = w - 4*n + m. Suppose 3*b + 2*i = -2*b + 78, i + 1 = 0. Solve 0 = s + w*s + b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 + 58. Let n = 66 - 65.59. Let l = n - 0.21. What is the second biggest value in l, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-540)\/(-42) - 7 - (7 + -1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107\/3 + 36. What is the closest to -1 in -5, -2\/7, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/14 + (-3429)\/(-72)*248\/(-217)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p - 321 = 0. Does 28 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-36) - (-230)\/(-12). Let m = -15 - x. Let u(o) = -o**3 - 5*o**2 - 4*o + 4. Calculate the smallest common multiple of u(-4) and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 1\/1107?\nAnswer: 1\/1107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*g - 4*v, 3*g + 0*g - 5*v + 6 = 0. Which is bigger: 4 or g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -79, -71, -47, -1, 73, 181?\n\"Answer: m**3 + 2*m**2 - 5*m - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 17*f**2 - 25*f + 18. Let j be k(13). Let x = 635 - j. Calculate the lowest common multiple of 6 and x.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 23*m**2 - 25*m - 24. Calculate o(-24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l**2 + 7*l. Let z(i) = 2*i**2 + i + 1. Let a(d) = -u(d) + 5*z(d). What is a(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1639797 and 79045.\nAnswer: -1560752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 12, d: 2, l: 1, u: 1, m: 1}. What is prob of picking 1 m and 2 d?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f*f\/(f*f**0*f*f)*f*f*f)\/f)**(6\/23))**(-22) assuming f is positive.\nAnswer: f**(-396\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(5*sqrt(12) - sqrt(12)) - (1 + sqrt(5))*2.\nAnswer: -7*sqrt(5)\/4 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 1:08 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(208) + 0) - (sqrt(208)*-2 + 4 - sqrt(208))**2) + (0 + (0 + sqrt(208))**2)*4.\nAnswer: -1056 + 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8258 is divided by 690.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 162849.919 rounded to the nearest 1000?\nAnswer: 163000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 10:34 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 34872914 and 34872915 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (6\/18)\/(352\/(-132))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3060 and 1632.\nAnswer: 24480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**2 + 1074980*w = 0.\nAnswer: -268745, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (1 - -3 - 3 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -1156, -0.4, -4.388?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74602, -74433, -74266, -74101?\nAnswer: -73938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6*y**2 + 2*y + 2. Let w(o) = -o**2 + o + 1. Let h(r) = -t(r) + 2*w(r). Let b(k) = -3*k + 4*k + k. Give b(h(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 13. Let l be s(12). Let p = -292 + 3798\/13. Is l smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*z + 19, 6*w = 3*w - 4*z + 59. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -8820, 4, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -5\/42*m**4 + 1\/70*m**5 + 0*m**2 - 2\/7*m**3 + 5*m + 0. Factor q(j).\nAnswer: 2*j*(j - 6)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/1)\/(8\/14). Factor -a*q - 481 - 3*q + q**2 + 490.\nAnswer: (q - 9)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159652 is divided by 1073?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (294\/35)\/(180\/50)*6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 - 19*u**3 - 174 - 8*u**3 + 134. Let x(c) = -54*c**3 + 5*c**2 - 80. Let l(w) = -5*n(w) + 2*x(w). Differentiate l(y) wrt y.\nAnswer: 81*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43052 and 314?\nAnswer: 6759164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 0)\/(-2) - 8445\/(-10). Suppose -4*p - g = -7*p + 2*w, -3*p - 3*w + 840 = 0. What are the prime factors of p?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 5*h**2 + 4. Determine x(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -485*j + 4016*j - 6750 = 17967 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (134\/18 - 217\/31)\/((-1)\/(-2))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020 divided by 404?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 177921 and 52788.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -109634471664 and -0.4.\nAnswer: -109634471664.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*o = 2*o - 41, 63 = 3*h + 3*o. Solve q = -4*q + h for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -663851352 divided by -435598?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82\/(-328)*(-68882 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 70, 89, 110?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22 - 11)*(-5)\/(-15). Which is the third smallest value? (a) -4\/7 (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 9*j + 4. Let s(o) = 17*o + 23. Let r(f) = -19*f - 1. Let x(d) = -2*r(d) + s(d). Determine 25*a(n) - 4*x(n).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8492 and 20.\nAnswer: 42460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-16)*(6496\/(-28))\/29?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 7*d**2 - 3*d - 6. Determine m(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83467, 166272, 249077?\nAnswer: 331882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1865*y + 1865*y - 13*y**2.\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 + 2*c**3 - 2*c**3)*(6 + 4 - 3).\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y + 19. Let v = 36 + -36. Suppose -16 + v = -2*z. What is the units digit of w(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 54\/13 - -1 - (-7 + 9). Let o = f + -367\/104. Which is the third smallest value? (a) o (b) -27 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 22*y**2 + 18*y + 18. Let i be u(21). Let f be (-100)\/i - 4\/18 - 2. Suppose -20*c + 24*c - 532 = f. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-16\/5)*k*k*k)**(-7\/5)\/(k*k**22*k*k\/k**(-11\/2)) assuming k is positive.\nAnswer: k**(-1581\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5222503*m**2*w**2*y**2 - 4633*m**2*w*y**3 - 2*m**2*y**2 - m*w*y**2 - 760*w**2*y**3 wrt y.\nAnswer: -27798*m**2*w - 4560*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -1 + 0 + -25. Let k be 50*-96*y\/(-3). What is k rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*m + 253 + 99 = 0 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-18 - 8) - -27 - (-76 - 4 - -7)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h*z**5 + h*z**3 - 51*h*z**2 - h - 5*z**5 wrt z?\nAnswer: -60*h*z**2 + 6*h - 300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1866048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*f - 2 + (3 - 2 - 2)*(-8*f - 33 + 33) + f + 2*f - 5*f - 8 - 2*f + 8 + (-3*f + 4*f + f)*(-3 - 2 + 4) + 0 + f + 0.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 331 = 560. Let y be (-8)\/((-240)\/t) + 21\/(-35). Is 3 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 9*m - 5*m - 2*m. Let u(v) = v + 34. Give u(y(w)).\nAnswer: 2*w + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -60292 + -117?\nAnswer: -603a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 175 = 2*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(-6)\/9 - 0. Let y be ((-6)\/8)\/(2\/(-8)). Let r be (-18)\/(-14) + y + (-10)\/35. Calculate the highest common divisor of r and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(-1)\/(-16) - 61\/(-4). Suppose 0*k - 5*k + o = -4*p, -5*k + 40 = p. Is (8\/10)\/(((-56)\/(-18140))\/k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - d - 1. Let m(z) = -2*z**2 - 6*z - 3. Suppose 0 = 2*h - 2 - 4. What is h*b(p) - m(p)?\nAnswer: -p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - -25*6\/15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**5 - 4*l**5 - 10*l**5)*(10 - 6 - 3).\nAnswer: -15*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2657575 is divided by 1110?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ullluyl. What is prob of sequence lyu?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -340 + 202. Let a = f + 155. Let i be (-118)\/(-2 - -1) + 1. What is the greatest common factor of a and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3 = -9. Let k be (2 + -2)\/(g + 4). What is the third biggest value in k, 0.5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.11 + -16.11. Let m = -3.4 + -9.6. Let f = m - w. What is the second biggest value in -1, 0.01, f?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -252445 (base 7) to base 13\nAnswer: -18247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1*(-870)\/45*(1 + -298)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29 + 165?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64\/7 - -190\/21. Let k be (-1)\/(-7 - (-12)\/3). Let n = 0.5 - 0.3. What is the biggest value in n, k, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 bigger than 44584.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 5, 1\/13869, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + h - 2*h - 9.\nAnswer: -h - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204380 and 66?\nAnswer: 613140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = 22*w - 1488. Is w at most as big as 243\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3016 = 1236. Let x = 990 + t. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -23. Suppose -3*o + 11 = m + 5, 10 = 5*o - 2*m. Solve n + 0 + o = y, -15 = -v*n - 4*y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178080 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17405792?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-22)\/(f\/(f**(-2\/101)*f)))\/(f**(-6)\/f**(-2\/13)) assuming f is positive.\nAnswer: f**(-21236\/1313)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10073, -20151, -30239, -40337, -50445, -60563?\nAnswer: -70691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + s = -2746 + 214, 4*q + 5*s = 2043. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -128. Let w = 294 - u. Suppose 0 = -h + 4*h - 54. Calculate the greatest common factor of w and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17\/7 + -15\/7. Let z = -12 - -2. Let f = 15 + z. Sort f, w, 0.4 in increasing order.\nAnswer: w, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 178170234?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -7*q**6\/6 + q**5\/5 - q**3\/3 + 7*q + 10. Find the third derivative of x(h) wrt h.\nAnswer: -420*h**2 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.103 and -0.55?\nAnswer: 0.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19043392309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2341 = -220*y + 422 + 97 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7673755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 909348 to the power of 1\/2, to the nearest integer?\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 52737059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -146 + 16. Let w be (-4)\/a - (5 - 306\/39). Solve z = p, w*p + 4 = -2*p + 4*z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - d**2 - 4*d + 8976. Let i be s(0). Factor -i*y + 24*y**3 - y**4 + 4084*y**2 + 143*y**3 + 97*y**3 + 4441 + 183 + 5*y**4.\nAnswer: 4*(y - 1)**2*(y + 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + -18. Let y = m - -21. Let h = y + -1. Sort 0, 4, h.\nAnswer: h, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(220)*6)\/(sqrt(891)*-2 - sqrt(891)).\nAnswer: 8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 113.33, -0.19, 0, 3\/7, -3?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138725 and 2480.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.5, -54, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/4 and 14\/139437?\nAnswer: 557748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130417476 divided by -43472492.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -33015*w**5 + 66020*w**4 + 396200*w**3 - 264000*w**2 - 1056560*w - 320 = 0.\nAnswer: -2, -2\/6603, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*t + 16*t - 13*t.\nAnswer: 30*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-6 + 4 - -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**5\/30 - 5*u**4\/6 + 25*u**3\/3 + 6*u**2. Factor c(r).\nAnswer: 2*(r - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 3*d + d + 103 - 86, 5*d = 5*z - 65 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 16 = 0, -a = 2*f - 7*f - 11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 99885913 to the power of 1\/2, to the nearest integer?\nAnswer: 9994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 236\/(-24) - (-4 + 75\/18). Which is bigger: -11 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 135 + -105. Let l be 2\/(66\/k - 5). Which is greater: 4\/9 or l?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7674*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 6. Let o be i(6). Suppose -8*w + 3*w + 15 = o. Find the second derivative of 6*u + 7*u**2 + w*u + 0 + 0 wrt u.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpq when three letters picked without replacement from ggqp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 28*r**5 - 71*r**5 + 2)*(1 - 3 + 3 - 3 + 2 + 2 + (0 - 1 - 1)*(0 + 2 + 0) + 0 + 0 - 1 + 2 - 5 - 4).\nAnswer: 430*r**5 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a + 10*a + 2 + 9*a - 10*a.\nAnswer: 14*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5726 divided by 650\nAnswer: -2863\/325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 164432.39 rounded to the nearest 1000?\nAnswer: 164000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uubb. What is prob of picking 2 u and 1 b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.0855 (b) 0 (c) 6\/13 (d) 4 (e) 5 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**5 - 703*t**4 - 375*t**3 + 6327*t**2 + 3780*t = 0?\nAnswer: -140, -3, -3\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 1343, -993?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 851472 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, o: 1, c: 2, p: 1, i: 2, z: 2}. What is prob of picking 1 c, 1 p, and 1 u?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + i + 10 = 0, -3*i + 5*i + 2 = 0. Suppose p - 312 = -4*n - p, -3*n = -q*p - 234. What is the units digit of (2 - (-3 + 2)) + n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16 + 1d?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9991*r + 118464 + 660834 = 0 for r.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 12, -5*c + 3*i = -26 - 61. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 71464?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**3 + 7 + 306*c - 156*c - 153*c to q*c + f*c**2 + u*c**3 + v and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -14 (b) 1\/3 (c) 0.229\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/21*(-9)\/(-10). Let p = 17\/45 - m. Which is the second smallest value? (a) 3 (b) -3\/23 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7569)\/(-87) + -54 + 6.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 34 + ((-21189)\/189 - -77)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/5)\/(4*(-18)\/45))\/((-1755)\/108).\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyihhiihihi. What is prob of sequence iyih?\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61973 or 61968?\nAnswer: 61968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*y + 31*y - 2 + y + (1 - 3 + 0)*(1 + y - 1).\nAnswer: 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -226. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8290013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 1 + n - 2*n - 8*n**2 + 7*n**2 + 1. Give x(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -3547?\nAnswer: -13\/3547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 177, 3, -4 in decreasing order.\nAnswer: 177, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245 + -1.3109.\nAnswer: 243.6891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.372 - 12.684. Is f at least -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -755, -1285, -1813, -2339?\n\"Answer: y**2 - 533*y - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*n + 122*n = -9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -36. Let v = z + 10.7. Let f be (-6)\/51 + 0\/2. Which is the closest to -2? (a) v (b) -2\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 0*f - 1 + f + f**2 - 2*f**2. Let t(i) = 5*i**2 - i + 6. Let u(h) = -h - 1. Let n be u(-5). Let c(v) = n*k(v) + t(v). Factor c(o).\nAnswer: (o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x**2 + 3*x. Let f be q(2). Let u(l) = -7425000*l - 4. Let p be u(-8). Let y be p\/f - 6\/33. Round y to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = -43622*w + 43641*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9095*i - 3*o - 10 = -9094*i, 3*o = 4*i + 10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y = 5*t + 8*y - 205, -51 = -t - y. Let g = t + -41. Suppose 5*l + 3*d - 1877 = 4368, 0 = g*l - 5*d - 6245. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**2 + 1554*a + 92943 = 0.\nAnswer: -449, -69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4205, 3, -0.5, -3 in decreasing order.\nAnswer: 3, 2, -0.5, -3, -4205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.55 times -103020.6\nAnswer: 56661.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -128018\/7 - 2\/7*t**2 + 1012\/7*t = 0. Calculate t.\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -421, -984, -1785, -2830?\nAnswer: -4125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1233, 4930, 11091, 19716?\n\"Answer: 1232*h**2 + h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17107, -68436, -153987, -273760, -427755?\n\"Answer: -17111*v**2 + 4*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 3*s - 4*s + (-2 + 1 - 1)*(-s + 3*s + 0*s))*(0*s**3 + 0*s**3 + 2*s**3).\nAnswer: -6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n - 2. Let k(i) = 12*i - 7. Let o(d) = -6*d + 3. Let w(z) = 4*k(z) + 9*o(z). Let s(v) = -3*u(v) + 4*w(v). What is the derivative of s(x) wrt x?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in seconds?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -9. Let l be (-2 + 1)\/((-2)\/j). Does 8 divide l\/((-14)\/(-16) + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*l + 182 = -2*c, 0 = 2*c + 3*l + 174. Suppose 72 = 32*s - 28*s. Let d = s - c. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23559516?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 0.18277?\nAnswer: 0.54831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**2 + 3*f + 1. Let s(q) = -5*q + 5. Let k(j) = 5*c(j) - 3*s(j). Let u(d) = d. Determine u(k(t)).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/10 + 1141*v**2\/5 - 14329*v\/2 + 67077\/5.\nAnswer: (v - 29)*(v - 2)*(v + 2313)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12341 is divided by 4098.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-36)*24\/(-304).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*y**3 - 2*y**3 - 4*y**3 + (-y**2 + y**2 - 2*y**2)*(-5*y - 2*y + 2*y) in the form s*y + w + a*y**2 + n*y**3 and give n.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0975945 seconds to minutes.\nAnswer: 0.001626575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1715320131.\nAnswer: 3, 7, 47, 67, 25939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 2*g - 4 - 4.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3112 * -0.063.\nAnswer: -196.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 83030, -14, -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.06. Let z = f - -0.04. Let g = z + 2.42. What is g rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, x: 7, m: 2}. What is prob of picking 2 c and 1 m?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 440\/(-3740) + (-920)\/(-17). What is the greatest common divisor of g and 2943?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 2. Let u(n) be the first derivative of n - 1. Let a be 1*(-1)\/(-1) + 3. Let s(x) = a*u(x) + 2*b(x). Let w(c) = 2*c. Determine w(s(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7650000?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 50455572179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -899 (base 11) to base 5.\nAnswer: -13301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20927 - 20928 + c + 65*c + 9*c.\nAnswer: 75*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/304*19)\/((-2)\/30)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -10*j - 2. Let o be t(-3). Let q = 1283 - 941. Let v = q + -230. Calculate the highest common factor of v and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -5 + (-69)\/(-15) - 142\/(-5) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 - 25949*v\/3 + 689840.\nAnswer: (v - 25869)*(v - 80)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 25*s**2 - s - 5. Let n(q) = -25*q**2 + q + 5. Let c(i) = 3*l(i) + 2*n(i). Is c(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -32.991882 from -17447.3.\nAnswer: -17414.308118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2 = 2*q, 4*m = -3*q + m + 24. Suppose -9 = -q*r - 4. Let z(p) = 26*p**2 - 2. Is 12 a factor of z(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*z**3 + 5*z**2 - z**2 + 2*z - 4*z**2.\nAnswer: 128*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2740 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374*f**3 + f - f + 1 + 347*f**3.\nAnswer: -27*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 59.15585 tonnes?\nAnswer: 59155850000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2*(-3)\/(-6)*-77.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 times -150?\nAnswer: -71100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**2 + 8*o**2 - 3*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*h - 271 = 270 - 541 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l + 1\/2*l**3 - 1\/6*l**4 + 0*l**2 + 0. What is the second derivative of s(h) wrt h?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -1\/2*q**4 - 3*q + 9 + 0*q**2 + 0*q**3 - 3\/20*q**5 + 1\/10*q**6. Let f(h) be the first derivative of m(h). Factor f(c).\nAnswer: 3*c**2*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4397618 divided by 2\nAnswer: 2198809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 13*v - 60 = 0, -95*f + 96*f - 5*v - 24 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 n when three letters picked without replacement from vvvuvnvnnvvvvvvv.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 511703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/7136 and 31\/130901.\nAnswer: 4188832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/4)\/((-3)\/(-6)). Let v = -7 + 8. Suppose 2*o + v = -5. Which is the nearest to -2\/3? (a) h (b) 0 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8397)\/(-15) - (-6)\/30.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 0 + 4\/7*a**5 + 24\/7*a**4 + 0*a**2 + 36\/7*a**3 = 0. Calculate a.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 10) to base 4\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5 + 61*o**4 + 926*o**3 - 154*o**2 - 59295*o - 58275 = 0 for o.\nAnswer: -37, -15, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 34. Suppose -i = 5, 5*f + a*f + 2*i = 1525. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2725760?\nAnswer: 2, 5, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 181*x - 1986. Give f(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**3 - 4 - 2*f**2 + 0*f**3 - 2*f**3. Let m be o(3). Solve -w + 4*q = -0*w - 12, -3*q = -m*w - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32735 + -0.482\nAnswer: -32735.482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -23*a + 3. Let l be s(-6). Let g = l + -99. Suppose 3*b + 3*z - g = 0, -4*b - 3*z - 1 = -59. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 22*x + 215. Let t be d(-10). Suppose 15 = -0*q + 3*q. Sort t, q, -1 in increasing order.\nAnswer: t, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**7\/((m*m**(3\/2))\/m))\/(m**(-2\/7))**(-3\/38))\/(m**(4\/3)\/m**(3\/4)*m**(-3\/5)\/(m*((m**4*m)\/m)\/m)) assuming m is positive.\nAnswer: m**(75763\/7980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/204 + 397\/2244. Solve 2\/11*u - 4\/11*u**3 - a + 4\/11*u**2 + 2\/11*u**5 - 2\/11*u**4 = 0 for u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**4\/6 + z**3\/2 - 2*z**2. Let f be d(-2). What is the closest to -0.1 in f, -2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**2 + 2*z**3 - 10 - z + 2*z**2 - 2*z**3 - z**3. Determine g(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + ((-46)\/(-15))\/((-10)\/(-15))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2*o - 8 = 0, 2*c - 8 = 4*o - 8*o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 7*u - 2. Let l be a(6). Suppose -5*i + 12 = -l*i. Suppose 5*b + 2 = i. What is the smallest common multiple of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 791 = l, 4*l + 2079 = -3*c - 1131. Let o = l + 1680. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-325)\/375 - (-1 - 0). Determine w, given that -4\/15*w + r*w**2 + 2\/15 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-18))\/((-3)\/(-216)*4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 4*d = -14, -294*w + 608*w + 3*d = 306*w - 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -87 + 172 - h**2 - 85 + 7*h**2 + 7*h as j*h + m*h**2 + p and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54 - 51. Solve -l*m + 8 = 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = -5*h + 170*r - 178*r, 0 = -5*h - 3*r + 6 + 74 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v - 7*v - 13*v)*(3 + 23 + 3)*(3*v - 3*v + 3*v) + (2 - 2 + 1)*(v**2 + 0*v**2 + v**2) to j + h*v**2 + o*v and give h.\nAnswer: -1564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-117) - ((-22)\/26 - 1). Solve b - m = 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/9 + -11 + 14. What is the biggest value in z, 13, 2\/9?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -a - 38. Suppose -a = -3*j + o, 4*j - 17 = -4*o + 35. Calculate the lowest common multiple of j and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006089 rounded to four decimal places?\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 8*u - 15*u + u as v + d*u and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -1. Suppose -q*g = g. Suppose g*j - 6 = -3*j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 630 and 225?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/6 - (-4)\/(-2). Let r = -34\/113 - 124\/339. Which is the nearest to r? (a) -11 (b) g (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -408 + 416. Calculate the greatest common factor of w and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 4*a - 10. Suppose 4*s + a = 2*s. Let g be (-30)\/s - (-4)\/(-14). Solve -g*t + 0*t = 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1298 - -3100. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -11, -14610, 2 in descending order.\nAnswer: 2, -1, -11, -14610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**3\/9 + 56*g**2\/9 - 38*g = 0?\nAnswer: 0, 9, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -47*118\/(-2171259)*(9 - 0)\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 4*w**3 - 2*w**3 + 3*w**2 - 30*w + 36*w. Find the first derivative of u(z) wrt z.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 7*a. Let d(y) = -130*y + 2. What is j(d(o))?\nAnswer: -910*o + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 13055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 8 = -7*f. Suppose 0*u = 9*u + 675. Let t = -73 - u. What is the smallest common multiple of f and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2300200 (base 4) to base 6\nAnswer: -124144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -55.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -i - r, 0 = i - r - 2*r + 5. Solve 4*q + s - 24 + 7 = 0, i*s - 11 = 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12889 - -12893. Solve -6*d + d = -2*x - 18, b*x - 4*d + 24 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 529068?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*-1)\/((-35)\/(1120\/(-96))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**4\/12 - 2*r**3\/3 + 3*r**2\/2 + 6*r. Let k = 2 - 6. What is the units digit of a(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004547 rounded to four decimal places?\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 38.3. What is the nearest to -1 in 1\/2, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56 by -1287528.\nAnswer: -7\/160941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(34\/5)\/(m**(-3\/5)*m\/m**(1\/5)) assuming m is positive.\nAnswer: m**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150819 and 147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 258 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2713, -12, 26 in ascending order.\nAnswer: -12, 26, 2713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4 = -5*s - 24, -h = -4*s + 1. Which is bigger: -1\/39 or s?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 4. Let d = -23 - -23.5. Which is the biggest value? (a) d (b) x (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 25*x - 23*x - 3*v, 5*x + 4*v = 19. Solve 11*y = -x*y + 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 5. Let y be l(4). Let j = 78 - 77. What is the units digit of (17 - 4) + j + y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + -27 + 45 + 42 + -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 19714*q - 532255. What is f(27)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -178.8 + -484.3. Let m = -663 - v. Which is the closest to 3? (a) 0.3 (b) m (c) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i. Let x(w) = -w + 3*w**2 + 6*w + 4*w**2 - 5. Let y(o) = 8*o**2 + 6*o - 6. Let b(d) = -6*x(d) + 5*y(d). Calculate b(f(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 1133 = 1173. Let c(n) = n**2 - 4*n - 3. Let l be c(5). Solve 4*m + 21 = l*t - 3*t, 4*t = h*m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (-505)\/(-6)*-2. Is m less than 168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1056042572.\nAnswer: 2, 13, 19, 419, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153431358 is divided by 30674?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 12*b + 52. Let q(p) = p**2 - 25*p + 135. Let g be q(10). What is a(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(30))\/sqrt(3))\/sqrt(2).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1246 = 143*n - 54*n for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 38\/67?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 9:44 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 830121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -26*(-10)\/20 + 24089?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*y**3 + 2*y**3 + 4*y**3 + 6*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 11 - 11 + 4*a**2. Calculate r(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.103 * -13128\nAnswer: 1352.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 19*x**5\/60 - x**4\/24 + x**3\/3 - 13*x**2. Does 2 divide i(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**3\/6 + 17*n**2\/2 - 3*n. What are the prime factors of t(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*v + 126*v = 1922. Which is greater: -7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 1645.\nAnswer: 1650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2665 and -2.\nAnswer: 0.533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -6*p + x, 379221*p = 379218*p - 18*x + 69 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-224)\/(-6)*(12\/8 - 0). Suppose i = -a - 75, -g - 10 = a - 2*i. Let x = 72 + a. Solve -2*o + 0*o + 2 = x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 285*a**2. Let y(v) = -7*v**2 + 14*v - 2. Let q(w) = -10*w**2 + 21*w - 3. Let n(u) = 2*q(u) - 3*y(u). Determine o(n(b)).\nAnswer: 285*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 40 - 50 = 0. Let q = 1363 - 1366. Which is the third smallest value? (a) 2 (b) q (c) l (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456231?\nAnswer: 3, 152077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 10*j**2 - j - 1. Calculate b(-2).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 7*j - 9. Let v(n) = -n + 2. Let d be v(-6). Let k be x(d). Is k equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 0*m**2 - m + 7\/3*m**3 + 3. Let i be n(-1). Solve -g = g + i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29532 (base 12) in base 4?\nAnswer: -32012312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*i - 5*w + 4337 = 0, 3*i + w - 13095 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(-1*sqrt(144)).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 4*a + 20. Let t be 18\/63 - a\/(-7). Let h be t\/(-6) - 686\/(-42). Calculate the greatest common divisor of 85 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 - 58*x - 240. Let v be o(-24). Let n(m) be the first derivative of 0*m**3 + 0*m**4 + v*m**2 + 14 - 6\/5*m**5 - 6*m. Differentiate n(p) wrt p.\nAnswer: -24*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*f. Suppose -4*j = -4*z - z, j = -3*z + 17. Suppose -l + j*l + 4*q - 1044 = f, -q - 1293 = -5*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 17*t**2. Let r(n) = 7274*n. Give i(r(b)).\nAnswer: 899488292*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -4.02. Let t = -3.98 - q. What is the second smallest value in -0.4, 1\/8, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 h when three letters picked without replacement from hdrrrhhrlhhrrlhrrr?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285\/(-5397) - (-2)\/(-42)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 9*u + 6. Let b = -7176 - -7161. Calculate c(b).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*l + l + 2*l)*(3*l - 3*l + 3*l) + (-3 + 0 + 1)*(3*l - l**2 - 3*l) as p + t*l + u*l**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 89.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112894858 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q**(-2)*q))**(1\/41))**(-9\/4) assuming q is positive.\nAnswer: q**(-27\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v - 39. Let s(c) = -18*c - 403. Let n(g) = 62*j(g) - 6*s(g). Let k(m) = -2*m - 4. Give n(k(z)).\nAnswer: 32*z + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 - -66253141?\nAnswer: 66253163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbwxzxxbzzzw. Give prob of sequence bw.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23886, 95492, 214830, 381900, 596702, 859236?\nAnswer: 1169502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(2*l + 3*l - 3*l)*(-7 - 1 + 10 + (0 + 1 + 0)*(-6 + 4 + 4) - 2 + 4 - 1) - l + 0*l + 6*l.\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25525 + 4449 + 23*h - 21*h.\nAnswer: 2*h - 21076","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600790?\nAnswer: 2, 5, 73, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.18 and -13.3.\nAnswer: -13.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - o + 2*o)*(3*o + 2*o - 4*o)*(-23 + 1 - 21).\nAnswer: 43*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 127163 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: What is s in -605*s**3 - 129346195*s**2 - 47034920*s - 4275900 = 0?\nAnswer: -213795, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 13762942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 2. Let i(h) = h**2 - h + 1. Let d(f) = f**3 + 8*f**2 - 9*f + 1. Let g be d(-9). Let v(b) = -6*b**2. Let z(a) = g*i(a) + v(a). Calculate z(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -15*g**4 + 26*g**3\/3 - g - 11. What is the third derivative of o(n) wrt n?\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 90, -66, -222?\n\"Answer: -156*g + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - 130 = 61 + 159 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 685*s**2 - s. Let l(g) = 597*g + 2. Determine l(v(p)).\nAnswer: 408945*p**2 - 597*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 35*t - 292. Let d be a(-7). Solve -d*b = -g - 1, -3*b - 28*g = -31*g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 739 + -553. What is the remainder when d is divided by 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240768 divided by -80256\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3*t)*(-3*t**2 + 3*t**2 - t**2).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (110\/(-14) + 7)*-77. Calculate the greatest common factor of 88 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z**3 - 161*z**2 - 19*z - 15. Let b(f) = -6*f**3 + 188*f**2 + 22*f + 16. Let w(x) = 6*b(x) + 7*c(x). Determine w(-4).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 10, -a + 17593 = -2*j + 6*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1161 = -3*q + 5*b, 6*q - q + 5*b = 1895. Suppose 0*j + q = 4*j - 2*m, -3*m = j - 78. Is 32 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -113130211?\nAnswer: 113130201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 148 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 142 + -134. Suppose s*v = v - 7. Is 2\/147 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-453)\/(-16610))\/(1\/((-70)\/84))\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*w - y, 2*w + 0 = -3*y - 6. Suppose w = -k + 5*a - 12, 0 = -a + 5. What is the remainder when (-1)\/(-2)*-3*-22 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmbmbmkbmbm. Give prob of picking 1 k and 1 m.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3720 is divided by 1223?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -9*b**3 + 13*b**2 - 16*b - 4*b**3 + b**4 + 13*b - 2*b**4. Let f(t) = 3*t**4 + 27*t**3 - 27*t**2 + 6*t. Let w(z) = -4*f(z) - 9*i(z). Factor w(g).\nAnswer: -3*g*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/1075 and 41\/431075?\nAnswer: 431075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 6, -42.25, -6, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-5) - 538\/(-10). Let r = u + -52. Let k = -203 + 2235\/11. Which is the third biggest value? (a) -5\/4 (b) k (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/93, -6\/11, -31, 3, -0.3, -3.\nAnswer: -31, -3, -6\/11, -0.3, -2\/93, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.956185mg to tonnes.\nAnswer: 0.000000003956185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r = -5*o - 4, -4*r = 12. Let h = 0.05 - -0.45. Let j = h + -0.6. Which is smaller: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*g = -g - 12, -g - 22 = -5*h. Suppose 3*j - 4*k - 11 = -3*k, 4*j - h*k = 28. Solve 3*u - 4*v - j = 0, 2*u + 11 = 6*u + 3*v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17297 - -28165. What is the highest common divisor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*h - 2*y - 7, -2*y - 14 = -4*h. Find the third derivative of -6*u**2 + 12*u**h - 12*u**6 + 7*u**2 + 38*u**6 wrt u.\nAnswer: 3120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 10) to base 2\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -55, -34, 15, 98?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7913866717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + -2*sqrt(304) + sqrt(19) - (sqrt(19) + (sqrt(19) - (-1*sqrt(2299) - sqrt(19)))))**2 + 4*sqrt(95)\/sqrt(5)*2.\nAnswer: 8*sqrt(19) + 5491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r = 0. What is the closest to r in -0.3, -2\/7, 0.7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1494, 1674, 1854, 2034, 2214?\n\"Answer: 180*p + 1314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1344 divide 87536867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3414 or 0?\nAnswer: 0.3414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -13 (b) 2 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 3*k + 3. Let z be b(-3). What is the remainder when 19 is divided by (1 - (-9 + z))\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.2 - 26. Let r = -14.2 + i. Let s = r - -24. Which is the biggest value? (a) -3 (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -117 - -181. Suppose m*a = 68*a - 16. Determine q so that 15*q**3 + 6 - 4 + 9*q**2 + 1 + 0*q - 12*q**a - 15*q = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -4*r + 6*n - 3*n, -4*n = -4*r - 44 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1809191 is divided by 584?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 1. Let q = a - -1. Let i = -0.99 - -1.19. Sort -4, q, i in ascending order.\nAnswer: -4, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1865 + -9283\/5. Calculate the common denominator of -13\/57 and t.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -7 + 11 - -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 14611571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.12, 44\/9, -1, 3172?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 10 - 1, -3*c - y - 3 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - (-4 + 5 + 2 + -7)) + -93 + 76?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 562 - 0?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 11*x**2 - 8*x + 29. What is s(-6)?\nAnswer: 473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 270375307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3889553, 3889574, 3889595, 3889616?\nAnswer: 3889637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 9, 8 = -l - 2*o + 26. Solve -10*d + l*d + 4 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*k - 183 + 247 = 0, 11 = -5*g - 2*k. Suppose 3*j = 17 + 16. Solve -g*a + 12 = -j*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*18\/(-45).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 361 + -888. What is the smallest value in u, -3, 6\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 - (-4 + 8 + -2 - 0). Put 2, 1, s in decreasing order.\nAnswer: s, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-25))\/(1\/10).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**4 + 332*p**3 + 7668*p**2 + 32292*p + 36504 = 0.\nAnswer: -39, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 933, 1872, 2811?\nAnswer: 3750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/3, 1\/7, 0.4, 3, -35?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 6 (c) 104 (d) 0.01 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-3) + 25\/(-3). Let v = w + 9. Solve 2*o - 5*k - 6 = v, o + 2*k + k - 3 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3*4\/(-12))*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89921 is divided by 29939?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 548571 - 548571 + 15*t**3.\nAnswer: 15*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 - 3*f**2 + 0*f**2 + (-3*f + 3*f + f**2)*(-1 + 3 - 4) - 220397*f**2 + 9769*f**2 + 13445*f**2 - 19548*f**2 as w*f**2 + b*f + n and give w.\nAnswer: -216734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + x + 119, 3*t + 0*x - 135 = -3*x. Suppose -t = -2*v + 3. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlou when four letters picked without replacement from {l: 2, o: 1, j: 4, u: 2, z: 1}?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**7\/b*b**(-4))**(-12\/13)\/(((b*(b*b**1)\/b)\/b)**38)**(-21) assuming b is positive.\nAnswer: b**(10350\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-4))\/((-16)\/(-56)))\/(7*(-48)\/224)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271*a - 267*a - 2284 = 0. What is the tens digit of (-4 - -13 - 2) + a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193439 take away -17?\nAnswer: -193422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**3 - 4*g**3 + 6*g**3 + (g**3 - 2*g**3 + 0*g**3)*(1 + 1 - 6).\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 94927, 2.1, -0.4?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40296 - 40290. What is the highest common divisor of 4146 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 2*h**5\/5 + 133*h**4\/2 + 667*h**3\/3 + 355. Find the third derivative of p(w) wrt w.\nAnswer: 48*w + 1596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18994183 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1985, -5, -1, -2 in decreasing order.\nAnswer: -1, -2, -5, -1985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -8*z**7\/105 - 19*z**5\/30 + 20*z**2. Find the third derivative of n(t) wrt t.\nAnswer: -384*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 15 - 4 - 9*x**2 + 11*x**2 + 16*x. Is t(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - 18.5. Let m = i + -31. Let q = 0.44 - 0.04. What is the closest to -2 in q, 0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26861921.52 to the nearest 1000.\nAnswer: 26862000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 7. Suppose -u = -q*u + 10. Solve o = -u + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7149 is divided by 80.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f = 12*f - 77. Let u(r) = -7*r - 36. Calculate the remainder when 573 is divided by u(f).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-448722)\/(-18) + -39 - (10 - -1) is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - l + 5*s + 77, -s + 209 = 4*l. Suppose -3*o = -2*o - 2*m - 8, 0 = -3*m - 12. Calculate the common denominator of o + 2\/(-10)*l and 28\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 4 = -4*x, -3*x + 3191*w - 55 = 3181*w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 5*g + 50 = 0, 32*h = 42*h - 4*g - 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 16*n**2 + 16*n - 10. Let w be c(15). Solve w*f + 4*h + 7 = -5, -5*f - 3*h = 14 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 2962a?\nAnswer: 29631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 e when four letters picked without replacement from wwwewwwweeweewee.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 924 + -924. Solve -3*b - j - j - 18 = m, -5*b - 5 = -5*j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2569419 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -8, 1\/6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 7*f + 9. Let t be o(-7). Let r = t + -7. Suppose 2\/5*s**r + 4\/5*s + 2\/5 = 0. What is s?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5752, -22984, -51704, -91912?\nAnswer: -143608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35089207651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 2*o - 1 + 11 + (2*o - 2*o - 2*o)*(1369 - 1017 - 1544) as n*o + q and give n.\nAnswer: 2382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1452)*-4 - 4*sqrt(1452)*-3)*1)**2.\nAnswer: 371712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*((q\/((q\/q**6)\/q))\/q)\/q*q**(-8))\/(q\/q**0)**15)**4 assuming q is positive.\nAnswer: q**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 8*d**2 + 10*d - 13. Let b be p(9). Let x be ((-12)\/10)\/((-3)\/20). Suppose 3*k - 5*k - x = 0. Is b at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -378*f + 32. Let u(d) = -7182*d + 616. What is -77*g(r) + 4*u(r)?\nAnswer: 378*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16416?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**4\/12 - x**3\/9 + x**2\/6 + x\/3 + 105. Find n such that u(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65360.09ml to litres.\nAnswer: 65.36009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -138.\nAnswer: -5\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58021892.\nAnswer: 2, 14505473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -4. Suppose -o - 9*c = -10*c - 7, -4*c - 8 = o. Solve -v*f + 15 = 5*d, -o*f - d = -2*d - 19 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21 and 11999.7.\nAnswer: 251993.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 39 - 9 = 0. Let g be (-2 + u\/(-12))*(7 - -1). Is g > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2*(222 - 228). Factor 5\/8*v**2 + p*v - 5\/8.\nAnswer: (v + 5)*(5*v - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -2\/5, 4, -48\/31, -0.5, -10, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, z: 1, q: 12, g: 2}. Give prob of sequence qzqq.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -19967 to the nearest 100.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 13370615\nAnswer: -2674123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - n - 10. Let o be g(0). Let r be 1\/o*(-9 - -4). Is r at most 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 33 - 15 = 0. What is the smallest common multiple of 45 and o?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-366158 + 504*k**2 + 366158)*(1 - 1 + 2*k) + (2*k**2 - 2*k**2 - 2*k**2)*(k + 0*k + 2*k) to the form r + n*k**2 + p*k + o*k**3 and give o.\nAnswer: 1002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 4:26 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence alfc when four letters picked without replacement from {l: 3, c: 4, a: 9, f: 4}.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 95 - 22. What is the remainder when 76 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide (234\/(-36))\/(3 + (-7689)\/2562)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 1 - 1)*(0 - 4 + 3 + (3 - 3 + 2)*(-3 - 3 + 5)) - 2*l - 10*l - 3*l.\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1147*s - 573*s - 3*s**2 - 574*s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 629507130 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79431 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + r + 2 = -4, 2*j + 3*r = -1. Suppose 0 = 5*p + j - 6. Put -1, -3, p in increasing order.\nAnswer: -3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3296*k - 27104 = -2449*k for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -7252000 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1+7.894\nAnswer: 6.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 43*b**2. Let s(c) = -28*c + 9*c + 5*c + 4*c + 6*c. What is w(s(n))?\nAnswer: 688*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 0. Suppose -2*t + 642 = 648. Which is the third smallest value? (a) -1 (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -3*x**5 - x**4\/2 - 55*x**3\/3 + 18. What is the third derivative of f(k) wrt k?\nAnswer: -360*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -2, 3, 44, 1, 1.1, 149.\nAnswer: -2, -3\/4, 1, 1.1, 3, 44, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223009 is divided by 3655?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -128 + 128. Let i(d) be the second derivative of 0*d**2 - 6*d + 0 + 1\/12*d**4 + q*d**3. Let b(g) = -6*g. Give i(b(l)).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5168*p + 138832 + 21376 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - k + 0*k)*(-2 + 2 - 2*k) - 4*k**2 - k**2 + 4*k**2 + (-k + k - 2*k)*(-2*k + 5*k - 2*k) + k + 2*k**2 - k + 2*k**2 - 3 + 3.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132697 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 3*b - 15 = 0, 5*u + 304*b - 91*b - 116*b - 92*b - 15 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 + 3987*d**2 - 109797*d + 667413.\nAnswer: -3*(d - 1301)*(d - 19)*(d - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/3 - 129814*m**2 - 9603498*m - 532943486\/3.\nAnswer: -2*(m + 37)**2*(m + 194647)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*(z\/z**3)\/z*z**(1\/3))**(-32)*(z**7\/(z\/(z**(1\/9)*z)))\/(z*z**8*z*z**(-7)) assuming z is positive.\nAnswer: z**(229\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*p - 35*p + 48*p**2 + 18*p - 34 - 33 wrt p.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 277.4 - -474.\nAnswer: 751.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/6159 - 289337\/209406. What is the common denominator of 79\/34 and l?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 6. Let u(r) = -r**3 + 3*r**2 - 2*r + 3. Suppose -5*b + 12 = -d, d - 20 = -0*b - 3*b. Calculate the remainder when d is divided by u(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 21*d**2 + 20*d - 29. Let o be r(-22). Suppose -o = -4*w + 1. Suppose -15*c + w*c = -75713. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r**4 + 1034329458*r**3 - 89153122076869467*r**2\/8 + 16716209516697555*r\/2 - 3134289229836075\/2 = 0. Calculate r.\nAnswer: 3\/8, 21548530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 37833450 rounded to the nearest 100000?\nAnswer: 37800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, 4, 2, 5.\nAnswer: -1, 2, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1534, -2766, -4008, -5266, -6546, -7854, -9196, -10578?\nAnswer: -12006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184 and 414?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53\/26 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-12))\/((-4)\/(-30)). Let n(j) = j - 3. What is n(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448*n + 130*n - 36*n - 8945 = -815 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-73)\/(-1095)*25\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.10286 rounded to 2 decimal places?\nAnswer: 54.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2 + 10 = 0. Suppose -3*z = -2*d + 11, 2*d - 5*z - 15 = -3*d. What is the units digit of p + d\/(-3)*-3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 12:35 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44254 at most 44255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 + 29. Let f = y - -10. Differentiate -39*c + 7 + 39*c - f*c**4 wrt c.\nAnswer: -32*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**2 + 6*m - 5. Let r be q(12). Let d be r\/(-8)*(-6)\/(-9). Which is the second biggest value? (a) 0.07 (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26)\/(-10) - (-4)\/10. Suppose 28 = 5*g - g. Let t be (3 - g\/2)*-4. Solve y*k = -3*z + 12, t*z + 3*z = 4*k + 29 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10*(6 - 2)\/(-8). Let g = p + 8. Let y be (-24)\/(-12) - 1*-141. What is the highest common factor of g and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -12*n + 10. Calculate the remainder when a(-4) is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 2*v**2 - 3*v - 6. Determine j(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.357 and -428683.\nAnswer: -153039.831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 4*f**2 + 15*f - 5. Let k be u(6). Put -1, 2, k in decreasing order.\nAnswer: k, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, o: 7, l: 4, t: 3, n: 1}. What is prob of picking 1 g and 3 t?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, z: 8, t: 1}. What is prob of sequence ztz?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l*r*t**2 + 4*l*r - 3*l - 9*r*t**2 + 13400355*r*t + 100*r - 425 wrt t.\nAnswer: 4*l*r*t - 18*r*t + 13400355*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 3649*s**4\/12 - 287*s**3\/6 + 287*s**2\/2 - 163*s - 3. Let n(o) = 38*o**2 - 3*o + 3. Calculate -3*m(g) + 287*n(g).\nAnswer: -41*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((471\/35168)\/(2\/(-40)))\/((-15)\/108*3)\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 2) + (3 + -8 - -13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -125, -86, -16 in ascending order.\nAnswer: -125, -86, -16, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*a + 11*a - 19*a + 0 + 3*a - 9*a + 0.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g + 33. Suppose 2*h + 2*s = 2, 4*h - 2 = 5*s - 7. What is the lowest common multiple of y(h) and 870\/36 - 4\/24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(39)*3)\/(sqrt(150)\/sqrt(2)) - (4*sqrt(117) + (sqrt(1053) + 2)**2).\nAnswer: -1057 - 237*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*g + 20, 4*g - 2*g = 5*c + 24. Let k = -12 + g. What are the prime factors of (-16)\/k + (-4)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5600)\/105)\/40*(-3)\/(-48)*8\/(-4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**4\/3 - 4*u. Let y(p) = 15*p + 12. Let v(o) = -o - 1. Let z(k) = -12*v(k) - y(k). What is w(z(j))?\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5612*532\nAnswer: 2985584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7*c + 324 = -4*h, -c - h + 72 = 0. Calculate the greatest common divisor of 4352 and c.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnnxanxnnnggg. Give prob of picking 1 x, 1 n, and 1 a.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 156 - 114 = -4*p, -2*p - n = -140. Calculate the remainder when p is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3577351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -7*k + 2. Suppose 6*v = 7*v + 1. Let r be u(v). Let y(f) = r - f - 1 - 8. Let a(q) = 11*q**2. Give a(y(w)).\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1379827855 smaller than -1379827855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/2 = -0.1011999591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19*o**3 + 15*o**3 + 0*o**3)*(5 - 7*o - 5 + (-1 - 1 + 3)*(-o - o + 3*o)) to the form y*o**2 + x*o + q*o**4 + r + u*o**3 and give q.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23799\/4144 + 18\/259. What is the common denominator of 93\/104 and p?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*j - 74*j - 161 + 161.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226132.\nAnswer: 2, 56533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 73254477800 to the nearest 1000000.\nAnswer: 73254000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2\/25)\/o)\/o)\/(o*o\/(o\/o**(6\/11)))*(o**2)**(-1\/10))\/((o**(-2\/3))**(-2\/15)\/(o**(-2\/3))**(-44)) assuming o is positive.\nAnswer: o**(62912\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1155236 to the nearest integer?\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 2. Let g be p(-7). Let b(f) = f**2 + 9*f + 2. Let m be b(g). Let o(a) = 33*a**2 - a - 3. Is o(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/4 of a meter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -129\/265 + -6\/53. Let u be (9 - 4) + (3 - 4). Let a be u\/7 + 120\/(-308). Sort a, -1, f in ascending order.\nAnswer: -1, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 6*f + 9292 = 2*f, 0 = -3*a + 4*f - 6983. Let u be (-9)\/(-6) + a\/(-50). What is the greatest common factor of u and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 1385*w - 51163. Calculate t(36).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 7*z = -2*y + 6, -z - y = 6. Let g(m) = m. Determine g(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qg when two letters picked without replacement from qqqggunggnnnnqngnqn.\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/143 and -67\/38259?\nAnswer: 420849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(85)*-1 + 5*(sqrt(85)*-2 + sqrt(85)))\/(5*(3*2*sqrt(5) - sqrt(5))).\nAnswer: -3*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 1324 = -n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(40)\/sqrt(4))\/sqrt(2).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2.5. Let m = -0.6 + 0.66. Let l = m + 4.94. Which is the second smallest value? (a) l (b) -5\/3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -7*g**2 + 394*g - 24. Let x(h) = -4*h**2 + 198*h - 13. Determine 6*q(t) - 11*x(t).\nAnswer: 2*t**2 + 186*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32325.1, -1, 0.007 in descending order.\nAnswer: 0.007, -1, -32325.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2869182013?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33151?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -257010, -257001, -256992, -256983?\nAnswer: -256974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126392\/222*6\/4 and 11.\nAnswer: 9394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7*j**2 + 7. Suppose s = 2*o, s - 5*o = 2*s - 21. Let p(m) = m**2 - 15*m - 14. Let l be p(16). Let y(h) = 1 - 3 - s*h**l - 4. Give 4*i(g) + 5*y(g).\nAnswer: -2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1420072*b**3 + 6*b**2 + 13*b - 875116 wrt b?\nAnswer: -8520432*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3169108476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((0 + -2*sqrt(1216) - -3*(0 + sqrt(1216))) + 0 - ((sqrt(1216) - (3*sqrt(1216))**2) + 5 + sqrt(1216) + (sqrt(1216) - -6*(sqrt(1216)*-3)**2))).\nAnswer: -54728 - 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -341 + 496. Let d = p - 148.7. Round d to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 28*g. Let k(w) = 1676*w**2 - 445*w. Calculate k(m(u)).\nAnswer: 1313984*u**2 - 12460*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000398776 rounded to five dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 4*j - 20, -5*x = 5*j + 71 - 66 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 1. Let a(s) = -2*s**2 - 28*s - 88. Let r be (1*(-3)\/(-6)*0)\/1. Let x be (-2 - r)*(-120)\/(-12). Let n(g) = x*u(g) + 2*a(g). Factor n(w).\nAnswer: -4*(w + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1185 and 911028.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-18))\/(28\/288 + (-1)\/(-8)). Which is the nearest to 1? (a) 1 (b) r (c) 5\/3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyjy. What is prob of sequence yjy?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3118315.\nAnswer: 5, 349, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 2. Let c be 3*1 - (-8 - -11). Let t be h(c). Solve t*x - 3 = -1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2 + 2 - 3*o - 2 + 5*o. What is the units digit of w(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 8*i + 11*i - 15, 5*i = 2*x + 4. What is the second smallest value in -3, x, -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*a + 142. Let j = -1 - a. Suppose 2*c = -28 + j. Calculate the highest common divisor of c and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 124, 140, 156, 172, 188?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 17*g**2 + 2830*g - 39655. What is w(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 23*c**2 - 25*c + 6. Let a be m(22). Let s = 62 + a. Suppose 0 = s*x - 5*u - 83, u + 7 = 4. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1187, -4903, -11097, -19769, -30919, -44547, -60653?\n\"Answer: -1239*d**2 + d + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t + 5 - 5.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1890)\/360*3\/(294\/(-4)).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20446 + -20014. Solve -26*x = 28*x + w for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/6, 10, -0.035936, 4, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 - 23*o**2 - 19*o - 71. What is s(-11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 6. Let j be l(-4). Let n(c) = -61*c - 33*c - 5 + 33*c. What is the tens digit of n(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26426 is divided by 13210.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.91619 rounded to 1 decimal place?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-36)\/42)\/(2\/364). Let l be (-288)\/i - (-4)\/26. Solve 0 = -2*o - l*p - 4, p = -3*o - p - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**5\/3 - 11350*t**4 - 2164960*t**3\/3 - 42130880*t**2\/3 - 80613120*t - 423109120\/3 = 0 for t.\nAnswer: -6746, -28, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05593904 to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 n when two letters picked without replacement from bnnnllllnlb?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 68962630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 1 + 6\/(-3). Let f(p) = 3*p - 15. Let q be f(6). Suppose -c + 20 = q*c. Sort c, w, -4 in decreasing order.\nAnswer: c, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33931 + 6?\nAnswer: -33926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 10*p - 5. Let y(a) = 18*a - 2. Let q be y(-1). Let g = 10 + q. Give w(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3558 + 1193?\nAnswer: 471b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6, 38, -3 in ascending order.\nAnswer: -3, 0, 6, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 8. Let f be p(4). Suppose 3*o + 12 = f*o. Let v = o + 6. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of ((-1028)\/10)\/(3\/(-15))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2989.287198 rounded to the nearest integer?\nAnswer: -2989","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/708659 and 91\/804.\nAnswer: 8503908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 149981207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.08 * -1170263.\nAnswer: 11796251.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 18*f - 11. Let a be b(8). Suppose -2*n + 455 = -a. Calculate the greatest common factor of 42 and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7527 (base 8) to base 16\nAnswer: -f57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/4)\/(2\/4). Let g(z) = -6*z**2 + z - 6. Let p be g(3). Let l = -54 - p. Solve m*v - l = -0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5844*b + 128606. Determine v(-22).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 - -39 - 1*3?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 5. Let w be f(-8). Let c = 17 + -2. Suppose 0 = 5*h + 4*p - 10 + 3, c = 5*p. Put h, w, 2 in descending order.\nAnswer: w, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 - 2246*r**2 + 1221528*r.\nAnswer: r*(r - 1322)*(r - 924)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 154 + 79 - 5*l**3 - 14*l**3.\nAnswer: -19*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -79.7 and -3.\nAnswer: 239.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1354, -1196, -1032, -862, -686?\nAnswer: -504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106 + -102. What is the greatest common divisor of 4 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/2*(-1)\/(-2). Put c, -1\/2, 5, -8 in ascending order.\nAnswer: -8, -1\/2, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, f: 9, b: 8}. What is prob of sequence bbfp?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 1) + -1*(23\/1 + -6).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/(-128))\/(-5) - 74949\/(-55776)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**2 - 35. Let f(o) = 132195*o. Calculate f(g(t)).\nAnswer: 396585*t**2 - 4626825","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24978 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53643719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3220 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/578, -160, -8 in decreasing order.\nAnswer: -5\/578, -8, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 20997, 86051, 194475, 346269?\n\"Answer: 21685*n**2 - n - 687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 8:45 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 417.0489cm in meters?\nAnswer: 4.170489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -738.1 + 738. Which is the fourth smallest value? (a) u (b) -0.4 (c) 4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x - 1 + 1 + (4*x - 10*x - 16*x)*(0 - 1 - 1).\nAnswer: 45*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -98 + 100. Suppose 5*d = -3*p - 0*d + 85, 0 = d - j. Calculate the common denominator of 1\/8 and ((-185)\/p)\/((-12)\/(-5)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -36 + g - 9*g + 36. Let c(i) = -4*i**2 + 2*i + 2. Let v(o) = -o**2 + o + 1. Let s(p) = -c(p) + 2*v(p). Determine s(q(y)).\nAnswer: 128*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*u + 11, -2*u = -4*r + 1 + 1. Which is the closest to r? (a) -0.2 (b) -1\/7 (c) -5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - (20 + 10 + 93).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 - p - 5\/2*p**2 - 1\/2*p**3.\nAnswer: -(p - 1)*(p + 2)*(p + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 378394 and 0.5?\nAnswer: 189197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-36 - -22)*(-12)\/14. Suppose -z = -22 + r. Let v = 14 - z. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**2 - 3*f**2 + 7*f**2 + 0*f**2 + f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4774 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 177.7 - 177.4. Which is greater: 135 or d?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5805 times 32\nAnswer: -185760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 121? (a) 2\/305 (b) 17 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 x when two letters picked without replacement from gxwnx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4350*d - 4339*d - 11. Solve 0 = -0*o - o - d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*i**4 - 291*i**2 - 309147.\nAnswer: 76*i**3 - 582*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10351 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 - c**2 + 4*c + 5. What is w(-4)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -506241969*u**3 + 6867893*u + 10?\nAnswer: -3037451814*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 522387 rounded to the nearest 1000?\nAnswer: 522000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 4*p + t + 20, -p + 2*t = -3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19699 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-11)\/66)\/(7\/2). Is 0 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**3\/9 - 502*p**2 - 217516*p\/9 - 229840 = 0 for p.\nAnswer: -2210, -36, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 35, 8, -7, 54 in decreasing order.\nAnswer: 54, 35, 8, 1, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 12*b**2 - b + 2. What is w(12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13868474, 13868471, 13868468, 13868465?\nAnswer: 13868462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 21 = -8*j. Let c(h) = 3 - j*h + 6*h - 14*h + 6*h. Let m be (26\/65)\/(2\/10). Calculate c(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4174 - 1242 - 1964 = 180*a for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 8*c**2 - 155*c - 1460. Calculate the smallest common multiple of 14 and j(-10).\nAnswer: 6230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 546*l - 4347. Give j(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1618\/3 - -542. Factor y*q**2 + 4*q + 3\/2.\nAnswer: (4*q + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142936586 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45227, -181340, -408195, -725792, -1134131?\nAnswer: -1633212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**4 + 519*f**3 + 2852*f**2.\nAnswer: -72*f + 3114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -120 - -170. Let s = -34 + g. Let f = 1698\/5 + -340. What is the smallest value in 0.2, f, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -3. Let f be (-2)\/(u - (-15)\/6). Suppose -3*z - 5*c = -105, f*c = 3*z - c - 105. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*a**4 + 42*a**4 - 4*a - 2*a**2 - 91*a**4)*(2 + 3 + 3).\nAnswer: -16*a**4 - 16*a**2 - 32*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37596 and 6084286?\nAnswer: 36505716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**5\/7 - 9*m**4\/7 + m**3 + 9*m**2\/7 - 8*m\/7 = 0.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -100*s**2. Let a(v) = -v - 6. Let o(d) = -2*d - 11. Let r = -131 + 142. Let i(t) = r*a(t) - 6*o(t). What is i(j(u))?\nAnswer: -100*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**4 - p**3 + 2*p**2 + p. Let d(k) = -421*k**4 - 2*k**3 + 4*k**2 + 2*k - 507. Let m(n) = -3*d(n) + 6*y(n). Differentiate m(o) wrt o.\nAnswer: 5028*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1661\/7 + 8\/(-28). Let y = 813 + l. Suppose -u = 2*u - y. What is u rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 4:14 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 0.3, -7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 12*w = 72. What are the prime factors of (-173)\/((5 + w)\/2)?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5332 is divided by 59.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-566)\/1415 + (-58)\/(-120).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) + sqrt(91)*1 + sqrt(91))*-3 + sqrt(91))\/((2*sqrt(70) - sqrt(70))\/sqrt(10))*-4)**2.\nAnswer: 13312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5861, 5883, 5911, 5945, 5985, 6031?\nAnswer: 6083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 40 + -10 + 36 + (-12 - 1).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**4\/4 + 13*p**3\/3 - 7*p**2\/2 - 32*p + 48. Does 7 divide q(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 169582?\nAnswer: 339164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8d889 (base 16) to base 11\nAnswer: -36660a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0 + 4 = 0, 3*u + x = 2. What is the least common multiple of u and 2\/14 - 117\/(-63)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/3002 and 109\/2686?\nAnswer: 51034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 - 67 - 14*t + 14*t.\nAnswer: -2*t**3 - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5488*u + 5480*u + 5481*u + 5490*u - 21941*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/77 - ((-10)\/55 - (-5496)\/462).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b + -2?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**10*j*j*j*j**(-2\/17)*j assuming j is positive.\nAnswer: j**(236\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -63*p - 54. Let h(c) = -63*c - 52. Let n(s) = 4*g(s) - 5*h(s). Let a be n(-7). What is a rounded to the nearest ten?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15624\/(-210))\/31*(-25)\/90.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.08 (b) 0.021 (c) 1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 5*d**3 + 57930*d**2 - 57965*d - 347610 = 0.\nAnswer: -11587, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b + 1121?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -812\/11 - -369\/5. Let k = d + 7\/22. Calculate the common denominator of k and (12\/8)\/3 - -35.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20886161 to the power of 1\/2, to the nearest integer?\nAnswer: 4570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*p**3 + 440*p**2 - 29*p**3 + 1 + 43*p**3 + p**4 - 4*p - 424*p**2 as d + o*p + q*p**4 + f*p**2 + m*p**3 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 10:25 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 3*k - 12. Suppose -k*j = -29 - 11. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 + -2 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 249756.51 months?\nAnswer: 208.130425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 6*k**2 - 15*k + 97. Let h be w(6). Let y(t) = 4*t**2 - 25*t + 8. Give y(h).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 36*g**2 + 7*g + 443. Is f(-22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 15325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11031 (base 6) to base 5.\nAnswer: -22111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -212 + 440. Is l a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3937219 or 3937265?\nAnswer: 3937265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11073.7 + 11074. What is the second smallest value in 0.15, u, -37?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/31911 and -42\/5?\nAnswer: 159555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.39 - -0.01. Let t = -0.3 + h. Let u = -27.4 - -27. Is t > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/(231\/(-3696)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2. Let u(l) = -9401*l. Calculate n(u(z)).\nAnswer: 88378801*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327 + 277 = 5*x. What is the remainder when 4900\/308 - (-1 + x\/(-11)) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2894?\nAnswer: 2, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*(sqrt(20) + -4 + -1)**2.\nAnswer: -60*sqrt(5) + 138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.938 to one dp.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3784 - -1?\nAnswer: -3783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 + -52. Solve 5*x + 2*t = -33, -3 = 3*x - t - m*t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1 - 6*n + 6 + n. Let p(g) be the second derivative of -g**3 + 3*g**2 + g. Determine -5*b(c) + 4*p(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1015 divided by -36782\nAnswer: 1015\/36782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*n = -7, s - 5*n = -0*s - 19. Is 2906\/(-5)*((-40)\/10 - s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/2414 and 41\/563?\nAnswer: 1359082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2276*r**3 + 245*r**2 + 368*r**2 - 2274*r**3.\nAnswer: 2*r**3 + 613*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -f - 33076709, 5*c = -0*c. Let t(v) = v + 21876709. Let w be t(0). Let p = w + f. What is p rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69837.38 years to centuries.\nAnswer: 698.3738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2106, -2149, -2194, -2241, -2290, -2341?\n\"Answer: -b**2 - 40*b - 2065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 13*i**3 - 4*i**2 + 48*i + 20. List the prime factors of x(12).\nAnswer: 2, 7, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42093937661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*b - 147 = 5*h, -h = 0. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10440.582462 + -3434\nAnswer: -13874.582462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3622 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10449771169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/(-8)*(-4)\/(-5). Let l(t) = -4 + 3 + 0 + 0. Let j(h) = -h + 11. Give c*j(u) - 22*l(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -7*u**2 - u + 6. Let w(g) = 11*g**2 + 2*g - 9. Let k(a) = -8*o(a) - 5*w(a). Let y be k(4). What is the highest common factor of y and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**4 + 61307068*r**3 - 234909817325820*r**2 + 234909756018756*r.\nAnswer: -4*r*(r - 7663383)**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1531593314 to the nearest integer?\nAnswer: 1153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1380508 is divided by 1031?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 976, 1964, 2952, 3940, 4928?\nAnswer: 5916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 2179*z**6\/30 - 3*z**5\/20 - 2457*z**2\/2 - 922*z. Differentiate h(q) with respect to q.\nAnswer: 8716*q**3 - 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 7:20 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z + 1. Let n be t(5). Let s be (-2226)\/(-22) - 2\/n. Suppose -1 = 2*h - 11, -3*h + s = 2*p. What is the remainder when p is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4681.5826825943 and 0.\nAnswer: -4681.5826825943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8749071, -17498148, -26247229, -34996314, -43745403, -52494496?\n\"Answer: -2*k**2 - 8749071*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 15.376, -5, 2, -50, -6, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -17*w - 12. Let u be i(-3). Let j = u - 21. What is the remainder when j is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105525155323 - 5?\nAnswer: -105525155332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10280975 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t + 8. Let j be s(6). Let m(k) = -3*k + 20. Let a(h) = -2*h + 9. Let g(v) = 7*a(v) - 3*m(v). Determine g(j).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -32, -112, -210, -332, -484, -672, -902, -1180?\n\"Answer: -k**3 - 3*k**2 - 64*k + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5706 = -4*b - 2*b. List the prime factors of b.\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide (-68635)\/(-245) - (-3)\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + q - 28, 4*q = -141*w + 136*w - 13 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m**2 - 7*m - 5. Calculate l(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 4*d - 45 = 0, -6 - 4 = 2*d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 3 = -5*x. Suppose 7 = -4*k + 3*h + x*h, -2*h = -3*k. Solve 2 - 6 = k*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/29, -2\/23, -60, 12?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-15))\/(406\/(-2030))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2000 = -3*j - 2*y, -954 = -5*j + 5*y + 2421. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 - -76. Let j be g\/10 + 8\/20. Suppose 4*c + 54 = 3*l - 41, -125 = -4*l + 5*c. Solve -l = -2*m - j*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h**2 + 4476*h + 105175. Determine w(-615).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389*a + 370*a - 76 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**5\/60 - p**4\/24 - 5*p**2\/2 + 5*p. Let a(s) be the first derivative of l(s). Let q be a(-1). Solve -q = b - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407484?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, -79, -326, -807, -1600?\nAnswer: -2783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 2*g - 85, 2*b + g = -4*g + 34. What is the greatest common divisor of b and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.073686 kilometers to nanometers.\nAnswer: 9073686000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 7*u**2 + 36*u - 91. Give n(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00548904 to four dps.\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -30*v**2 + 15*v + 350. Let z(j) = 11*j**2 + j. Let m(o) = -p(o) + 3*z(o). Find the second derivative of m(q) wrt q.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 519 + 51 = 5*a. Solve 0 = 13*f - 9 - a for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 4. Let j(l) = -l**3 + l**2 + l. Let o be j(p). Let y be ((-4)\/(-12))\/(o\/(-9)). Which is greater: -5\/2 or y?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.898715 to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 6*p + 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4 + 2*b**3 + 132*b**2 + 448*b + 320.\nAnswer: -2*(b - 10)*(b + 1)*(b + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -14963244?\nAnswer: 14963242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -4\/7, -5, 1.9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 12 + 6 = 34 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42*4\/8 - (-110726)\/(-7190).\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + 250 - 1132 + 882.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*u - 10, u = -3*f - 71 + 11. Let r(m) = -3065*m**2 + 27*m - 22. Let q be r(f). Round q to the nearest 10000.\nAnswer: -1110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**3 - 40*k**2 + 50*k + 628. Calculate t(-9).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -46685514, -46685494, -46685474, -46685454, -46685434, -46685414?\n\"Answer: 20*x - 46685534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 2073\/530144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 99. Factor 76 - 48*z + 86 + 2*z**2 + 221 - d.\nAnswer: 2*(z - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/60088 and 83\/85100?\nAnswer: 34550600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p**3 + 4*p**2 + 7*p - 14. What is the units digit of g(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(-1 + 6 - 2)*(4*q - 5*q - q)*(6*q + 11*q - 2*q).\nAnswer: 90*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -573.1744 * 0.22\nAnswer: -126.098368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(1331) - sqrt(1331)*1)*3)**2*-6 + -1 + -5*(sqrt(1331) + 2*sqrt(1331)))*-4.\nAnswer: 660*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 891.00000811 + -891. What is w rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 103*l**2 + 2350*l + 12680. Let f(i) = 102*i**2 + 2352*i + 12681. Let v(o) = 5*f(o) - 6*y(o). Let v(h) = 0. Calculate h.\nAnswer: -65\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 97*j*n**3 + j*n - 538*j - n**3 with respect to n.\nAnswer: 291*j*n**2 + j - 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4)\/(2190\/(-2336)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 7. Let a = 10.1122 + -19.1129. Let q = a + x. Round q to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(171)\/(sqrt(18)\/sqrt(2)) - sqrt(171)\/(-1*sqrt(1296)) - (sqrt(3648)*2)\/(-6*sqrt(3)*3).\nAnswer: -sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**7\/945 - i**6\/540 - i**5\/135 + 109*i**2 - 2*i. Factor n(j).\nAnswer: 2*j**2*(j - 2)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 458036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 4.2. Which is the third smallest value? (a) -0.4 (b) 0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 5*h**2 - 9*h - 11. Let s be y(-3). Let l(o) be the first derivative of -1 + o + 0*o**2 - 1\/3*o**3. What is l(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**5\/20 - 3*g**4\/2 - 17*g**3\/6 - 11*g**2 - 11*g. Let n be w(19). What is the units digit of 908\/n - (-1)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 9) to base 11\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dcttddd. Give prob of sequence ttd.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1470) + sqrt(1470) + (2*sqrt(1470) - sqrt(1470)) + sqrt(30))\/sqrt(6) + 3).\nAnswer: 6 + 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-104 + -2)*((-450)\/(-12))\/(-25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 19, 26, 39, 58, 83?\n\"Answer: 3*j**2 - 2*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 - 23. Let m = -23 + l. Calculate the remainder when 19 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (4 - (0 + 3)) - (-110)\/20.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 12:12 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -163211883.007 - -163303720. Let r = -91800 + n. Let z = r + -37. What is z rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, 1, 0.01, 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 6)*(-35*c + 35*c - 215*c**3 - 461*c**3).\nAnswer: -2704*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 2995.\nAnswer: 8985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3503582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 1\/(-3))\/((-10)\/30). Suppose -17 = -y*g - 2*g - 5*q, 3*g + 5*q = 14. Solve -4*t = -5*n - 7*t + 6, 0 = 3*n - g*t - 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 147 - 31 - 41*a**2 + 0*a**2 - a**2 with respect to a.\nAnswer: -84*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 5*g + 111, 2*y + 5*g - 4*g - 81 = 0. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/16)\/((d*d**(-3))\/d*d)*(d**32\/d*d)\/d**(-33) assuming d is positive.\nAnswer: d**(1073\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88 + 43. Let r = n - -65. Suppose 4*g - 2*d = 24, 3*g + 4*d + 2 = 9. Calculate the greatest common factor of r and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 b when two letters picked without replacement from {b: 1, v: 2, k: 5, p: 1, d: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, q: 5, h: 2, f: 2, y: 1, x: 1}. Give prob of sequence ff.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, s: 3, e: 2, j: 1}. Give prob of picking 2 e and 2 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*i + 10, 6*i - 35 = 5*x + i. Let j = x - -9. Solve -j = n - 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**2 - 4*h - 3. Let p be 2\/8 - (-10)\/(-40). Let v(t) = 10*t**2 + p*t - 8 + 21*t + 6*t**2 + 24. Calculate 11*m(w) + 2*v(w).\nAnswer: -w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 42*f + 50. Let m(z) = -17*z + 5*z - 5*z - 25 - 4*z. Let p(t) = 3*c(t) + 5*m(t). Find the first derivative of p(v) wrt v.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 - 132\/(8 + 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2339621 to 2 dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42.4 - 46. Let q = 4 + k. Let m = 0.5 + 0. Which is the smallest value? (a) q (b) m (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13779 + 826759\/60. What is the common denominator of (-2)\/24 - 4\/(-18) and s?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -22*p + 2. Calculate m(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3618*-40671.\nAnswer: 147147678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) 0.3 (b) 175\/36 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**0)\/(v*v**(-4\/5)*v))**3 assuming v is positive.\nAnswer: v**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 8 = -3*o, 5*n + 3*o = 344. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4114063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f. Let l(x) = 1092*x. Let o(y) = 2*l(y) + 308*n(y). Let g(u) = -u. Give g(o(m)).\nAnswer: -644*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2612, -5217, -7818, -10415, -13008, -15597?\n\"Answer: 2*f**2 - 2611*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63732 and 2931220?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 1153*v**3 - 229 + 3072*v + 3168*v**2 + 99\/2*v**4 + 3\/5*v**5. Factor j(m).\nAnswer: 3*(m + 1)**2*(m + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 2. Let j(u) = -4*u - 9. Let r = 31 + -33. Determine r*j(m) + 9*o(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2\/2 - 6591*h\/2 + 894186 = 0. What is h?\nAnswer: -6852, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 47, 84, 113, 128, 123?\n\"Answer: -a**3 + 2*a**2 + 38*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akvuiiuiua. Give prob of picking 1 u, 1 v, and 1 k.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20*216\/480)\/(3\/(-1*3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 2*g - 104, h + 2*g - 61 = -3. Calculate the least common multiple of h and 174.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**5 - 21*u**4 - 96133*u**3 - 273*u**2 + 26*u + 29?\nAnswer: -60*u**2 - 504*u - 576798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189 and 59319?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + -89?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -219, -684, -1641, -3336, -6015, -9924, -15309, -22416?\nAnswer: -31491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25.78 - -26. Let n = h + -0.22. Let q = 140\/319 - 18\/29. Which is the closest to -25? (a) -0.4 (b) n (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 - 995*p - 52878. Give s(-437).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4956 (base 12) to base 15\nAnswer: 26b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2. Let k(a) = a + 1. Let l = -2 - -1. Let b(d) = 1 + 7 - 3. Let r(x) = l*b(x) + 5*k(x). Calculate o(r(t)).\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 9. Let i be w(-6). Let p be ((-6)\/i - 3) + 7. Let m = p - -8. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p**2 - 96*p**2 - 2*p**2 - 32*p**2.\nAnswer: -142*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**5\/60 + 5*u**4\/24 + 7*u**3\/6 - u**2. Let o be i(-4). Solve 0 = y - 4*a + 32 - 11, y + o*a = 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + -53. Let n = u - -15. Let r(s) = -14*s**3 + s**2 + s. Let k be r(n). Solve 5*c + 5 = 2*z + 2, -4*z + k = -2*c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 - -82c09?\nAnswer: 82c22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/3 (b) 2\/3 (c) 1\/5 (d) 5521\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22102222 (base 3) in base 8?\nAnswer: -14013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r. Let u(i) = -3060*i + 29. Calculate u(y(w)).\nAnswer: -3060*w + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 13*b + 38. Let h be s(-8). Let k be (h\/(-3))\/(5 - 3). Solve 0 = 3*q - 5 + k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1045*o**2 + 30 - 13 - 15270*o**3 - 18 - 1279*o**2 + 56*o**2 wrt o?\nAnswer: -91620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39118, 156453, 352006, 625777, 977766, 1407973, 1916398?\nAnswer: 2503041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304*d - 308*d + m - 16 = 0, -22 = -d - 3*m. Suppose -2*n - 3*t + 29 = 0, -4*n + 76 = 3*t + 21. Let c = n - -2. Sort c, d, -1.\nAnswer: d, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**7\/10080 + q**6\/960 - q**5\/240 + q**4\/24 + 9*q**2. Let s(n) be the second derivative of c(n). Factor s(f).\nAnswer: -(f - 2)*(f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5120*o - 6537*o + 2313*o - 316176 = 1948*o for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355*c**2 - 401*c**2 - 110*c**2 - 30*c**2.\nAnswer: -896*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 7*u + 8*u + 3 = -3*a + 4*a + 19, 7846*u - 117695 = -5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/19 - 20\/(-190)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2. Let c(m) = 21*m**2 + 18*m - 15. Let h(v) = -v**2 - v + 1. Let z(x) = c(x) + 18*h(x). Let a(k) be the first derivative of z(k). Give a(i(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -234 + 234 - 135*f**4 - 940*f - 27*f**2 + 27*f**2 - 2*f**3 wrt f?\nAnswer: -1620*f**2 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**5\/20 - 5*f**4\/6 - 3*f**3\/2 - 15*f**2\/2 - 10097*f. Let g = -29 - -40. Give s(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14, -0.22, 2\/5, 1\/3, -1\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9153 is divided by 415.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4450 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-915)\/(-610)*(-4)\/(-93)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 4\/2)\/(-2). Suppose k = 5*q - 2*q - 6. Calculate the least common multiple of q and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -120 + 2d8?\nAnswer: 1b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -82, -14.\nAnswer: -82, -14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (468\/15)\/((-588)\/(-560)). Is 1\/3 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 285*k**3 - 50*k**2 + 126*k - 13. List the prime factors of v(6).\nAnswer: 17, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(1\/((-8)\/(-6))*56\/42)\/(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.5 + -1.5. What is the fourth smallest value in 2\/3, -0.2, -0.1, r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 51d + 0?\nAnswer: 51d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35887367*m - 3144595?\nAnswer: 35887367","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b - 9*b = -396. Let l = 432 - 271. Let v = -110 + l. What is the remainder when v is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.08 times 4\nAnswer: 12.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 489.\nAnswer: 1\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2771, -1753, 3057, 11665, 24077, 40299, 60337, 84197?\nAnswer: 111885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106026 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -7828?\nAnswer: -1\/3914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 2*d**2 + 2*d - 8. Let z(i) = 2*i**3 - 3*i**2 + 3*i - 8. Calculate -3*a(v) + 2*z(v).\nAnswer: v**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 910157397 and 282.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/81)\/(30400\/2280).\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + (-2)\/(-8)*271069\/2119.\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -12. Let f(n) = -n**2 - 4*n. Let b(v) = v**2 + 5*v. Let p(r) = 2*b(r) + 3*f(r). Determine p(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 19*f**2 - 11*f + 33. Let h be i(17). Suppose 2*p + z - h = 0, 5*z + 154 + 58 = p. Calculate the highest common divisor of p and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -638*s + 5302. Let c be p(7). Calculate the highest common factor of c and 3553.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 833007 is divided by 8354?\nAnswer: 5961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 10:46 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2500*j**4 + 923 + 1632 - 116 - 88 + 560*j**4 wrt j.\nAnswer: 12240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -152, -522 in decreasing order.\nAnswer: 5, -152, -522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 721033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h = -5, -209 = -4*y + h. Suppose -24 = -4*x + 2*j + 14, -x = -2*j - 2. What is the remainder when 1\/(17\/y*(-3)\/(-46)) is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyqqqqyqyyyq. Give prob of picking 3 y and 1 q.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/3))**(-30\/11)\/(g\/(g**14*g)*g**(1\/9)) assuming g is positive.\nAnswer: g**(1195\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**0\/h)**(-3\/11)\/(((h\/(h\/(h*h*h*h**(2\/15)\/h*h)))\/h*h)\/((h*h*h**(-2)*h)\/h)) assuming h is positive.\nAnswer: h**(-47\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -268875, -268849, -268811, -268761, -268699, -268625?\n\"Answer: 6*a**2 + 8*a - 268889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/2221 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 + 98*k**2 - 3*k - 145. Let g be r(-49). Solve 0 = 12*d - g*d - 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 564 + -562. Let l = 105\/4 + -26. Is y bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222 (base 4) to base 16.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-8)*h**3\/h*h*((h*h*h**(-2\/9))\/h*h*h)\/((h*h*((h*(h\/h**(-1\/11))\/h*h)\/h)\/h*h)\/h) assuming h is positive.\nAnswer: h**(-427\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -22*z + 27*z + 18, 0 = -z - 4. Solve k + 1 = -r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 19. Let w = -9.7 + 9. Put 4, w, h in increasing order.\nAnswer: h, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90063 is divided by 135?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4*sqrt(117) + ((-2*sqrt(130))\/sqrt(10))**2.\nAnswer: -12*sqrt(13) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 1. Let t be 22\/(-6) - 12\/9. Let c be u(t). Suppose 112 = -0*s + c*s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4590\/1377 + (-88)\/21.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -110509.24 to the nearest 100.\nAnswer: -110500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -8*p**3 - 88*p**2 - p + 26. Let b be q(-11). What is the greatest common factor of b and 1184?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/2)\/c)\/((c**(-3)\/c)\/c))\/((c*c**3)\/c*c\/(c*c\/(c*c*c*c**(-11\/4)\/c*c*c)*c)) assuming c is positive.\nAnswer: c**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 + 46*b - 10. Let u be w(22). Let a(h) = -h**2 + u + 13 - 47. Let d(i) = -119*i. Give a(d(z)).\nAnswer: -14161*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 12. Calculate the highest common factor of s and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 4:41 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from atkikttckataaa.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9 - -5 - 14*12\/(-40). Factor y*g**2 - 14\/5*g + 49\/5.\nAnswer: (g - 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16164988643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.064069 to 4 dps.\nAnswer: -0.0641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 b when three letters picked without replacement from byebnneemeevveebeen?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*m = 54. Let k = 61 + m. Calculate the common denominator of -33\/29 and k\/(-21)*(-9)\/12.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 353992, 706367, 1058742, 1411117, 1763492, 2115867?\n\"Answer: 352375*f + 1617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 15*h = 0. Suppose h*d + 4*r + 13 = 5*d, 5*r = -d + 20. Solve m - 11 = -b - m, -30 = -3*b - d*m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26233 (base 7) in base 11?\nAnswer: -5278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 4*j + 5*s, 26*j + 10 = 31*j + 3*s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/33))**(-24)\/((k*k**(-26)*k)\/k**(-1\/34)) assuming k is positive.\nAnswer: k**(9509\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from {v: 2, l: 2, y: 2, p: 4}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -316050536 - 3?\nAnswer: -316050541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 take away -4371?\nAnswer: 4304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.01, 2, -5, -1\/3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2a (base 14) to base 9\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 443141748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -12*r - 1. Let f be t(-4). Let z = f + -8. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 6*v + 15 = 9*v, 4*c + 337*v + 334*v = 676*v - 16 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/94000 and -131\/164500.\nAnswer: 658000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 146, 561, 1252, 2219, 3462, 4981?\n\"Answer: 138*r**2 + r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 7:22 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49434355 + -5269738.\nAnswer: -54704093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ssps?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/9*i**2 - 4\/9*i**4 - 4\/9*i + 4\/9*i**3 + 0 = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2164 - -340?\nAnswer: -1824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 7) to base 15\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2213, -2211, -2213, -2219, -2229?\nAnswer: -2243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-168)\/1820*-39*290\/6. Calculate the highest common factor of 822 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w + 4*w = -4574 + 197088. List the prime factors of w.\nAnswer: 13751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 389, -0.7, -10.\nAnswer: -10, -0.7, 389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**(-17))**(-38) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1.22 (b) -787 (c) -1\/3 (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6568589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + 11. Suppose -4*l - 56 = -11*l. What is the highest common divisor of d and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2 - 5*w + 97. Let g be u(-7). Which is the second biggest value? (a) 3 (b) 5 (c) 0.3 (d) g (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-162)\/(-63)*224\/64.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {z: 11, f: 1, d: 1, g: 5, s: 2}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (210*h - 170*h + 313*h)*(15 + 9*h - 15).\nAnswer: 3177*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7120.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 275, 1127, 2541, 4511, 7031, 10095, 13697, 17831?\n\"Answer: -b**3 + 287*b**2 - 2*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2226*n*r**2 - 6*n*r - 93*n + 3*r**4 - 3*r**3 - 6*r wrt r?\nAnswer: 4452*n + 36*r**2 - 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/289373 + -1006439300\/868119. Let t = x + 1161. Factor t*z**2 - z - 2\/3.\nAnswer: (z - 1)*(5*z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 116*f**3 + f**2\/2 - 1355*f - 1988. Find the second derivative of j(b) wrt b.\nAnswer: 696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*j = 91 - 9, 4*j + 43 = -t. Let h = t + 31. Let n(a) = -a**2 - 1. Let r(f) = 3*f**2 + 2. Determine h*n(u) - 3*r(u).\nAnswer: -u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 68 - 57 + 0*b + 4*b. Let k = 76 - 66. List the prime factors of w(k).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2826 take away 3?\nAnswer: 2823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 72\/7 (b) 1\/14 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -n + 15 - 0, 3*t = -2*n + 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.87231 nanometers in kilometers?\nAnswer: 0.00000000003787231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*g - 302, 5*g - 42 = -2*v + 121. Let b = 87 + v. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 5:30 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(0 + 1) - (52 + (-6419)\/147)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 9*k = -187. Calculate the highest common divisor of 77 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1354433 is divided by 141?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/2268 and -83\/10.\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 6:14 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6585524 and 158929?\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, f: 5}. Give prob of sequence fffr.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 17 - 25810*u + 5 + 25812*u.\nAnswer: 2*u + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand g - g + g**2 + (15 + 8 - 1)*(-g**2 - 2*g**2 + 0*g**2).\nAnswer: -65*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - d = 94239015. Suppose d = 3*j - 15652191. Let k be j\/5 + (-8)\/(-20). What is k rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153093.\nAnswer: 3, 51031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 6:28 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4777254916 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -35*(-7)\/(-105)*-6. What is the third biggest value in 0.5, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 26. What is the nearest to -2\/7 in f, -2\/9, 2\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25352457 and 204.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1690*q - 24213 - 44293 = 784 for q.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 (base 10) in base 16?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence itj when three letters picked without replacement from ktktkkkkkjiikttk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -2749, -19 in decreasing order.\nAnswer: -16, -19, -2749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*x, -3*x + 26 = 2*f + 9. Solve 4*z = f - 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 18. Let r be w(-8). Suppose -l + r = 4. Let j = 23 - l. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/1062 and 49\/84033?\nAnswer: 9915894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 299 = -h + 318, f + 5*h + 15 = 0 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*110\/(-495)*(-18)\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 475?\nAnswer: 475.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**4\/12 + i**3\/2 - 7*i**2\/2 + 8*i. Give l(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154, -172, -190, -208, -226, -244?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.112656ml to litres.\nAnswer: 0.007112656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12431404 a multiple of 515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1574, -0.369, -3, 0.3, -5 in decreasing order.\nAnswer: 0.3, -0.369, -3, -5, -1574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pzpppppppppppppppp?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41461792*p**2 + 1393446399*p?\nAnswer: 82923584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 233 = -4*y - 556, 4*y - 821 = -5*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11107563 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + u - 1 + (-4 + 2 + 1)*(5*u + 0*u - 4*u) + 0 + 0 - u)*(5*u**3 + 2*u**3 + 0*u**3).\nAnswer: -7*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4738 - 4033 = -47*b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 105652 times -383?\nAnswer: -40464716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20573056*c**2 + 41145302*c**2 - 20572250*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + w = -9, 0*q + q - 19 = -5*w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 680 and 247860.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1208 and -0.2.\nAnswer: -241.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 12*z + 6 - 16 to the form d + q*z and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**4\/23 - 2026*u**3\/23 + 4046*u**2\/23 - 2022*u\/23 = 0. What is u?\nAnswer: 0, 1, 1011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q**(5\/2))*q)*q*q*q**(2\/15)\/q)\/(q*q*q**(-7)*q*q**(-9)*q) assuming q is positive.\nAnswer: q**(469\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -582 - -610. What is the second derivative of 49*j**2 + 92*j + 31*j**2 + 162*j - 3*j**3 + s*j wrt j?\nAnswer: -18*j + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -22*x**2. Let h(w) = -4*w - 2. Let s(b) = 2*b**2 + 10*b + 5. Let t(a) = 5*h(a) + 2*s(a). Determine n(t(m)).\nAnswer: -352*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 716 + -712. Suppose 56 = k*q - 440. What is the remainder when q is divided by 34?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((4 - 6) + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -11*p - 30. Let x be b(-3). Solve -2*t + 9 = -5*k, -4*t + 12 = -x*k - k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**4\/12 + t**3\/6 + t**2\/2 - 6*t. Let u(y) = -6*y**2 + 4*y + 5. Suppose 0 = -3*m + 4 - 1. Give m*u(b) - 4*o(b).\nAnswer: -2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74459?\nAnswer: 7, 11, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**2 + 4*p**2 + p**2 + 8*p**2 - 2*p**2 + 9*p**2 + (-3 + 1 - 2)*(5 + 3*p**2 - 5).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3234*p**3*u**2 + 9*p**3 - 2564*p**2*u**2 - 205*p**2*u wrt p.\nAnswer: -19404*u**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.1. Let v = -41.45 - -40.3. Let k = v - -1.09. Which is the nearest to q? (a) k (b) 4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3125 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-45)\/84 + 10\/35. What is the nearest to 0 in h, 0, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millisecond in microseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22920320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713 is divided by 104.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 39565*h**2 - 60*h - 31 + 39563*h**2 - 79120*h**2. What is d(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 10*h**3 + 5*h. Suppose -18*x - 31 = -247. Let p(u) = 4*u - u**2 + 27*u**2 - 26*u**2 - x*u - 15*u**3. Let k = -10 - -5. Calculate k*p(b) - 8*v(b).\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*x - u, 38*u = -2*x + 39*u + 35. Calculate the greatest common factor of 1245 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 4904.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 8:59 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 11 = -3. Solve -i + d*i = -4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*s + 73*s = 152*s + 468 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -648 (b) -0.067 (c) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z**3 - 528*z**2 - 2196*z + 3888 = 0. What is z?\nAnswer: -54, -6, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -163*u - 11636. Give h(-71).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -206*s - 1436. Let j be o(-7). Solve j*k - 3*k = -3*c, k = -5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -48039 and 30.\nAnswer: -48009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p**4 + 101*p**3 + 614*p**2 + 882*p - 1599. Let s(i) = 2*i**4 + i**3 - i**2 + 2*i + 1. Let j(b) = -o(b) + s(b). Factor j(l).\nAnswer: -5*(l - 1)*(l + 5)*(l + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 42.85094ng?\nAnswer: 0.00004285094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -831681*p + 1663357. Give a(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*3*1 - sqrt(55)\/sqrt(11)*5)**2 + -4 + 5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -5 + 2 + 0 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 49.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 4. Suppose 0 = 3*c + u*r - 6, 0 = -0*c + 4*c - 3*r - 8. Find the third derivative of -2*t**2 + 0*t**2 + 3*t**c - t**3 wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7431372 divided by 18486?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(70) - (sqrt(70) + (sqrt(70) - 6*(sqrt(70) - -1*sqrt(70)))))\/(6*sqrt(30)\/sqrt(3))*4*6)**2.\nAnswer: 338800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6889677908 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f**2 + 3*f**2 + 0*f**2)*(-1 + 1 - 2*f) + 77*f**3 - 270*f**3 + 48*f**3 to h*f**2 + d*f**3 + a + q*f and give d.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 15, -7 = 4*q + q - 4*a. Let x(i) = i - i + i - q - 3*i. Determine x(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 850061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 5*s - 1015, -3*a - 2*s = -6*s + 630. Let m = a - -214. Solve -5*f = -m*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -598 + 696. Let z be 134\/4 + (-3)\/6. Calculate the remainder when u is divided by (z\/(-12))\/(1\/(-12)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 213 - 373. Let i = f + 229. Let m = i + -32. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 4 - 3 + 110*t in the form h + x*t and give x.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -345 + 751. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 432186*d - 3025344. Give z(7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-12))\/((-6)\/9). Suppose o = -0*o + 1. Is r at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (0 - 1 - -3) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - -0.1. Let k = -39241.1 - -39241. What is the closest to k in x, -1\/10, 1.3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -2\/79, 6?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.29 + -0.14. Let y = -1474\/57 - -66997\/2280. Let t = 33\/8 - y. Which is the closest to -1? (a) h (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a hour in minutes?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5112 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17, 21, 29, 41, 57, 77?\n\"Answer: 2*z**2 - 2*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*b = 43*b + 6 - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -23. Solve d = -4*o - 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 e when two letters picked without replacement from {e: 2, j: 4, x: 3, a: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 21 + (9 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 857 + -542. Is t a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-2)*(-24)\/(-1248)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148, -849, -1978, -3535, -5520?\nAnswer: -7933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 3265625645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 11, k: 1, f: 3, n: 5}. Give prob of picking 2 q.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmw when three letters picked without replacement from {w: 5, m: 11}?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/5)\/a**5*(a**(-2\/5))**(17\/5) assuming a is positive.\nAnswer: a**(-169\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 7*v**2 + 7*v - 6. Let k be f(-8). Factor -8\/3*j**k - 10\/3*j - 2\/3*j**3 - 4\/3.\nAnswer: -2*(j + 1)**2*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5130 is divided by 306?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -897.3*-0.060881\nAnswer: 54.6285213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-1))\/1*(4140\/(-90))\/690?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2095805, 4191715, 6287625, 8383535, 10479445?\nAnswer: 12575355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*j - 70 = 0. Let n be (-2)\/j - -14*(-3)\/(-15). What are the prime factors of (-1 - 0 - (-16)\/n)*33?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a9485 - 3?\nAnswer: -5a9488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*r + 17*r - 5. Solve 5*v + 22 + r = -2*g, -3*g = -3*v - 18 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -549*m + 182*m + 179*m + 190*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 18*r + 14*r - 35*r. Let s(v) = 2*v. Give d(s(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/9 + 85996652*v\/9 + 85996648\/9.\nAnswer: 4*(v + 1)*(v + 21499162)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*m**2 - 33*m**3 + 68*m**2.\nAnswer: -33*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2289.5 to the nearest 100.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1855 divided by 1.\nAnswer: 1855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 117*c**3 - 7*c**3 + 17.\nAnswer: 110*c**3 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-2))\/(1 + -2). Let a(p) = -6*p + 6*p**3 - 2*p**2 + 3*p - 3 + 6. Let k(v) = 3*v**3 - v**2 - 2*v + 2. Let s(m) = 3*a(m) - 5*k(m). Give s(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 933821 is divided by 116724.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -35, -14, 9, 34?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/151? (a) 0.28 (b) 27 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 92\/52043175 and 44\/5782575.\nAnswer: 52043175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 415104 (base 6) to base 10\nAnswer: 33520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 333535283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 12*b**2 - 13*b + 26. Let v be g(-21). Calculate the greatest common divisor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 566010 and 38646.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -16*q**4 + 4*q**3 + 48*q**2 - 44*q + 8 = 0.\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3\/7 + 40*d**2\/7 + 39*d\/7 = 0. What is d?\nAnswer: -39, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 2. Suppose f*d + 2*k = -2*k - 16, -d + 2*k = 2. Let m(i) = -i**3 - 4*i**2 + i + 3. Let z be m(d). Which is bigger: -2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 207066 - 0.346480742.\nAnswer: 207065.653519258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8842, -8879, -8916, -8953?\nAnswer: -8990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72468 and 28599912.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 3422011400?\nAnswer: 3422011403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 139a452 + 3?\nAnswer: 139a455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1948, -3893, -5838, -7783, -9728, -11673?\nAnswer: -13618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/8 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6217, 12465, 18735, 25027, 31341?\n\"Answer: 11*d**2 + 6215*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 12 = -2*s - 2, -5*s = -5. Solve -d - r*i = -4*d - 25, 5*d = 5*i - 35 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 92ef3 - ab?\nAnswer: 92e48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*a = -8*a - 312, 0 = -2*k + 3*a + 207. Calculate the highest common factor of 66 and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**2 + 32*r + 28 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 202? (a) 1\/3 (b) 0 (c) 6\/11 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c - 2. Let n(x) = x**2 + 10*x - 1. Let j be n(-9). Let z(f) be the first derivative of -8*f**2 + 6*f - 22. Determine j*t(o) - 3*z(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 0 + 0*m**2 - 7*m + 2\/21*m**3 + 1\/84*m**4. Suppose h(f) = 0. Calculate f.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -356, -1426, -3210, -5708?\nAnswer: -8920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from jjdjjddjjdjd?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 3:58 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 + 0.4. Let f = 3 + -2.2. Let u = f - 1. Put s, u, 0.2 in increasing order.\nAnswer: u, s, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 195 + 0*s - 82 - 113.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.8855579 and -0.1390575.\nAnswer: 0.7465004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 58632302 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -403324534?\nAnswer: 403324532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(931) + sqrt(1539) + -5.\nAnswer: -7 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.1 - 0.9. Let y = t + 16. Let z = -7.2 + 7.2. What is the nearest to 1\/4 in z, y, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + n + 37 + 817 = 0, -j = 3*n - 220. Let u = j + -127. What is the remainder when u is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15, -7, 1?\n\"Answer: 8*d - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -83 + 87. Suppose -t*p - 3*p + 21 = 0. Solve -p*m - m = -20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (8 - (0 + -7 - (-10 - -1))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**3 + 115 - 108*r + 220 + 111*r.\nAnswer: 4*r**3 + 3*r + 335","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*b - 31*b = 3*k + 6, 5*b - 2*k = 32 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59 + 1.62.\nAnswer: -57.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 13*j**2 - 4. Let f be q(2). Let m be (-2)\/9 + f\/378. Are m and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 7. Let b(m) = -m**2 - m + 1. Let d(q) = q**2 + 3*q - 3. Let h(t) = w*d(t) - 3*b(t). Let u(i) = i**2. What is h(u(x))?\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12 and 15128.\nAnswer: 15140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30296798.\nAnswer: 2, 7, 173, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1964633023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 542325 by 180775.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3180 = -9*n + 2706. Let v = n + 164. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 295, 454, 613, 772?\n\"Answer: 159*t + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -159535 times -0.2?\nAnswer: 31907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -298 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1979 is divided by 402.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -50*q**2 + 2026*q + 29842. Give t(52).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) 1\/4 (c) -0.3 (d) 8\/9 (e) 1\/7 (f) -60\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/6 + 5*i**2\/3.\nAnswer: -i**2*(i - 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 293815341 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1018\/5 (b) -2.4 (c) -108 (d) -1\/2 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-8) - 29\/(-4) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*r - 18, 7*l - 2*l = -4*r - 66. Let j be 1740\/14 + 4\/r. Suppose -5*b + j = -b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.04 (b) -7 (c) -0.1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 - y + 2. Let f(x) = -3*x**2 - 18*x - 6. Let i(a) = 3*b(a) + f(a). Factor i(h).\nAnswer: 3*h*(h - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k. Let w(q) = 22*q - 19. Let g(u) be the third derivative of -5*u**4\/24 + u**3\/6 - 88*u**2. Let r(m) = 5*g(m) + w(m). Determine l(r(t)).\nAnswer: 3*t + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -9*s + 2. Put -6, s, 3, 2 in decreasing order.\nAnswer: 3, 2, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, 18, 2, -4, -16 in ascending order.\nAnswer: -16, -8, -4, 0, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + (-5 + (sqrt(2736) - ((0 + sqrt(2736) - sqrt(2736)) + sqrt(2736))))**2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*1*-3 - (sqrt(432) + sqrt(432) + -5*(1*sqrt(432))**2)) + (sqrt(432) + 1 + -2*sqrt(432) + sqrt(432) + (1*-1*sqrt(432) - sqrt(432)))**2.\nAnswer: -108*sqrt(3) + 3889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42 + -67 - -30 - 8) + (10 - -1 - 0).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -95, -2, -7.\nAnswer: -95, -7, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27, 53, 93, 153, 239, 357?\n\"Answer: l**3 + l**2 + 16*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 0 - 3\/4*n**4 - n**3 + 6*n + 2*n**2 + 1\/20*n**5. What is the tens digit of d(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93095 is divided by 266?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 3) to base 8\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 divided by 31.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n - 6. Let d be y(3). Is 13 a factor of 1 - d - (4 + -34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*(((-4)\/(-3))\/(-2))\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 15*k**2 - 5*k - 2. Does 6 divide s(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1 = p, 0*l - 3*p = -l - 11. Suppose -52 - 36 = -2*j + w, 0 = -2*j - 4*w + 78. Let s = 45 - j. Solve -3*a + 1 = -2*q, -6 = -l*a + 4*q + s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 126438*j**2 + 836*j - 126440*j**2 - 2 + 104*j to r*j + z + i*j**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -1*6\/(-8). Let n(y) = y**2 - 5*y + 3. Let g be n(5). Let k = 5\/17 - 49\/51. Which is the nearest to k? (a) 0.1 (b) q (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3649 (base 15) to base 5\nAnswer: 332134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004894 rounded to 6 decimal places?\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 5*f + 3*f)*(51*f - 26*f - 31*f)*(f**2 + 0*f**2 - 3*f**2 + (-2*f**2 - 1 + 1)*(6 - 4 - 4) + 0*f**2 - 4*f**2 + 3*f**2).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2639770 and 877?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**4\/12 - h**2\/2 + 4*h. What is the first derivative of g(f) wrt f?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-40)*-15*(-48)\/18.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00803 rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13\/9 + -83\/45. Which is the fourth biggest value? (a) 2 (b) 0.5 (c) o (d) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104193 and 765.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 - 2*y**2 + 5 - 25*y**3 + 6*y - 12*y**3 + 2*y**2 + 36*y**3. Determine u(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*-3*((-81)\/18 - -4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3098*p + 2765*p = -7*p - 410900 for p.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -10 - 1 - 7*s + 0 + 8 - s**2. Let k be x(-6). Suppose v = j - 3 - 25, k*j = -3*v + 78. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010100001001 (base 2) in base 8?\nAnswer: -32411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) -1\/14 (b) -0.14 (c) 0 (d) 4\/13 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 27*w**2 + 91*w + 44. Give m(-23).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/15 and 25\/101.\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2. Let q(p) = 39*p + 3. Let g(c) = 4*c**3 - 13*c**2 + 6*c - 8. Let o be g(3). Let x(n) = o*q(n) - 4*v(n). Let w(f) = f. Calculate w(x(h)).\nAnswer: 39*h - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104\/55 - 677\/440. Find the common denominator of s and -121\/10.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 2*m + 8. Let c be n(0). Suppose 56 = c*i - 6*i. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 9:14 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75 - 69.7. Let k = q + 1.7. Let d = -6 + k. Which is the smallest value? (a) d (b) -3 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6631 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j - 23. Let d = -110 + 83. Let w be p(d). Sort -5, 0, w, -15 in decreasing order.\nAnswer: w, 0, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**8)**(-21)\/(h\/(h*h*h**(3\/16)))**(2\/11))**(-16) assuming h is positive.\nAnswer: h**(29530\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j + 20. Let r(s) = -s**3 + 7*s**2 + s + 3. Let f be r(6). Suppose f = 9*h - 6*h. Is n(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 8*k - 12*k - 20 = 0, 5*d - 4*k = 32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 5*k - 18, -1 + 9 = -4*l + 4*k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2137*c + 1. Suppose 6*w - 5 = -5*h + w, 2*h - 4*w - 2 = 0. Let z be r(h). Find the common denominator of z\/180 - (-6)\/27 and -13\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(132)\/(sqrt(4)*-3))\/(-2*sqrt(300)))**2.\nAnswer: 10811\/3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10291\/6 - 1736. Suppose b + 452 = 5*b - 2*l, 4*l + 220 = 2*b. Calculate the common denominator of (-27)\/(-21) + -1 - b\/(-91) and y.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 120, 262, 448, 672, 928?\nAnswer: 1210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170 - 177 - 169 + 516 - 4688*t**2.\nAnswer: -4688*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (16\/32)\/(2\/(-92)). Is k bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 870 + -522. Suppose 2*d - 3*d - y = -3*i, 2*i = -4*d + 218. Is i a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 214?\nAnswer: 5\/214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oodooodoododdooood. What is prob of picking 1 o and 2 d?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -10. Suppose -4*d + 20*d = 32. Let b(i) = 3*i**d - 8 - i - 2*i + 7*i**2 - 9*i**2. Calculate b(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2. Let i(t) = 75*t**2 - 1. Give i(s(w)).\nAnswer: 300*w**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 434\/(-1)*390\/(-91)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81 + 119. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -114 + 61?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**7\/105 + m**4\/8 + 16*m**3\/3 - 36*m**2 + 2*m. Differentiate c(x) wrt x.\nAnswer: 8*x**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*p - 401, -796 = 12*f - 20*f + 4*p. What is the remainder when f is divided by (31\/4)\/((-2)\/(-8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 20 = -0*a. What is the third derivative of 3*m - a*m + m - 6*m**3 + 3*m**2 wrt m?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34437 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 197, 211, 153, -13, -323, -813, -1519, -2477?\nAnswer: -3723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13521791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**3 - 122*j**2 - 238*j - 118 = 0. Calculate j.\nAnswer: -59, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*(y*y\/((y**12\/y)\/y))\/y*y*y))\/y)**(-27)*(y**(-5))**26 assuming y is positive.\nAnswer: y**(-265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86.5 - 11.5. Let c = l + -78.9. Let t = c - -3.865. Round t to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 331835?\nAnswer: 3650185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -3. Suppose 120*k = 36*k. Let y be 1\/(3*(-1)\/(-6)). Solve 4*q - 3*d + b = -k*d, 0 = -y*q + 2*d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -12525\nAnswer: -12519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*i + 53*i = -3738. Does 26 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012313131 rounded to four dps?\nAnswer: 0.0123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/2*-6)\/(51\/(-136)). Let h(i) = -16*i + 9. Let k(x) = 24*x - 14. Determine c*h(v) + 5*k(v).\nAnswer: -8*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 19*m**2 - 9*m + 34. Let t be r(18). Let w be t\/91 - 2 - (-602)\/(-26). Let l = w + 281. Is 43 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 4*c - 19. What is the units digit of f(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/7? (a) 2\/13927 (b) 2 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89432923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-17 + 0) - 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 42 = -4*c. Suppose -2*i + 16 = -2*m, 4*m = -2*i - 47 - 3. Let b = -3 - m. Calculate the remainder when c is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, -1\/10, -296?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34.15 + -34. Let o = -286 - -285.754. Let a = o + g. Round a to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t - t + 2*t**3 + 4*t**3 - t**3 - 4*t**3 + (0*t - 6*t + 23*t)*(0*t**2 + 3*t**2 - 4*t**2).\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjpp. What is prob of picking 1 j and 2 p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/37527225 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1243 (base 6) in base 12?\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 8*m - 20. Let j(x) = x + 4. Let n be j(0). Let h(f) = n*f - m*f + f**2. Let k(c) = c**2. Give h(k(w)).\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 175 = 9*n. Calculate the remainder when n is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 5*p - 7. Let b be (8\/8 + -1*3)*-2. Determine f(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53257 - -53257.000040051. What is g rounded to seven decimal places?\nAnswer: 0.0000401","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/104941 and 41\/9.\nAnswer: 944469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-2 + (-375)\/(-192))*(-520)\/(-780))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.186 - 113.186. Let m = -113.00000284 - z. Round m to 7 decimal places.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21212213312001 - -11?\nAnswer: 21212213312012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 119 = 1175. Suppose 49 + 135 = 4*d. Suppose -d = -5*v - 6. Calculate the greatest common divisor of v and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20189314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1183 in 3\/4, -3\/7, -3, -0.033?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -14*c - 67. Let o(t) = -12*t - 71. Give -5*l(r) + 6*o(r).\nAnswer: -2*r - 91","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 726391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*o = -137*o + 5 + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 257013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 7 - 4*d + 20*d**3 - 21*d**3 + 16 - 11*d**2. Let z = -37 + 26. Is 33 a factor of r(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1 = -15. Suppose -f*g + 48 = -3*g. Calculate the remainder when g is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2455 (base 6) in base 5?\nAnswer: 4421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 18, 14, -12, -72?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 2. Calculate the remainder when (106\/6)\/(4\/12) is divided by q(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t - 54 = 5*t. Suppose m = -t*n + n + 2083, 4*n + 4*m - 4168 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 57. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -1, 1.7, 3\/28, 0.01, 2, 17?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 3. Suppose -151 = -35*n - 46. Calculate the greatest common factor of o and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*j + 22*j - 40*j.\nAnswer: -41*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 794353 and 42.\nAnswer: 4766118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1462 and 22?\nAnswer: 16082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 6756820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 4015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/25, -1\/135, 0.3, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 9)*4\/(116\/957)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71622457 times 3?\nAnswer: 214867371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 444*h + 442*h - 8.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - -5. Suppose 3*c - v = -5*p, -c = -0*c + p - 11. Calculate the remainder when 22 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40.936 + -0.064. Let s = t - -40.9999895. What is s rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1442376 divided by 138\nAnswer: 10452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m - 37. Suppose -y + 8 + 15 = 5*n, -3*y = 4*n - 36. Let u be p(y). Suppose 6*o + 50 = u*o. Solve o = 3*w - 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -53, -3\/25, 52\/23?\nAnswer: 52\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -56929144.61 to the nearest one thousand.\nAnswer: -56929000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15248.44 + 15249.139999. Let p = -0.66 + -0.04. Let f = z + p. What is f rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65987 = 79*n - 69542 for n.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.7 - 5.7. Which is the third smallest value? (a) 1\/9 (b) q (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*s**2 + 10*s**6 + 8*s**2 - 14*s**2 - 33*s**6 wrt s.\nAnswer: -2760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -164*p**3 - 46 + 47 - 47*p + 166*p**3 in the form s*p + o + i*p**3 + h*p**2 and give s.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.813 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m + 59. Give v(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 20 = 0, 13 = -5*r + 4*h + 17. Let a = -13 - -21. Let b = a - -1. Calculate the remainder when b is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 36358.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1051 divide 87977108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17675?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - -33 - 8 - (-2 + -3)) + 0 + 44\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (335\/310)\/((-15)\/(-6)). Let m = g - 1\/31. Factor 4\/5*n - 6\/5*n**2 + 0 + m*n**3.\nAnswer: 2*n*(n - 2)*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(-82)\/8 + (-4)\/(-2). Differentiate -4 - 17*z + o + 151 wrt z.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40403023 (base 5) in base 13?\nAnswer: -b514b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**3\/6 + 11*f**2\/2 - 4*f. Let u be z(5). What is the first derivative of -5 + 2*g**4 + 0 + u wrt g?\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1004, -2006, -3008, -4010, -5012, -6014?\n\"Answer: -1002*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 + 22*m**2 + 8*m**2 + 3*m**2.\nAnswer: 34*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-40))\/((15\/(-12))\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 387392 and 920056.\nAnswer: 7360448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7427, 14782, 27041, 44204, 66271, 93242?\nAnswer: 125117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 772419.31 rounded to the nearest 10000?\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.11 - -0.1099. Round y to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5503 divided by 2.\nAnswer: 5503\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*w + 0 + (-3*w - w + w)*(-1 + 3 + 2) - 18 - 382*w + 16 + 2.\nAnswer: -396*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/9)\/v)**8)**42 assuming v is positive.\nAnswer: v**(-1232\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 5) to base 10.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 250, 499, 748, 997?\n\"Answer: 249*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*g**2*r + 16389485*g*r - 243167992*r wrt g?\nAnswer: 6*g*r + 16389485*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 + 232*c**3 + 224*c**2 - 232*c - 228.\nAnswer: 4*(c - 1)*(c + 1)**2*(c + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s - 66 = -1. Put 2, 5, -65, s in increasing order.\nAnswer: -65, s, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -3*g**2 + 2\/33*g**3 + 12*g + 0 + 1\/660*g**6 + 2\/165*g**5 + 5\/132*g**4. Factor z(o).\nAnswer: 2*(o + 1)**2*(o + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 7, 2\/13, -79, 1\/8?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 25. Let n(p) = p**2 + 2*p + 1. Calculate the remainder when y(3) is divided by n(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - 2724 + 660 = 0. What is the greatest common factor of s and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 24*g**2 + 289*g + 2131. What is the least common multiple of 66 and a(-7)?\nAnswer: 14124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 233676 - -96157. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-21))\/((-231)\/(-1078))\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-15039)\/(-6) + -10 + (-2)\/(-4).\nAnswer: 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -182540329*b**6 + 151090425*b**2 wrt b?\nAnswer: -21904839480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 2\/13, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16 and -449?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 - 20*u**3 - 1931*u + 1931*u + 17*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 266*a + 4866. Let i be h(-18). Solve 79*y - 20 = -4*p + i*y, 5*p - 3*y = 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 3 + 3)*(0 - 1 + 2)*(44*y - 51*y + 39*y)*(4*y**2 - y**2 - 7*y**2).\nAnswer: 128*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2594284 divided by -6?\nAnswer: -1297142\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 6 = 39891*g - 39887*g, 0 = -f + g + 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 37. Let f be l\/5*(-1)\/(-2). Let z be ((-4)\/6)\/((-1)\/3). Put f, 5, z in decreasing order.\nAnswer: 5, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1690202 and 4225505?\nAnswer: 8451010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + 11.9. Let k = -12.2 + y. Let q be (-2 + 3)*0\/(-13). Which is the biggest value? (a) 0.1 (b) 0.3 (c) q (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -t**8\/336 + 7*t**5\/60 + 3*t**2 - 7. Let c(q) be the second derivative of g(q). Find the third derivative of c(w) wrt w.\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2152 + -23701\/11. What is the common denominator of 18\/41 and q?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/8 - (-10750)\/(-80))\/(37\/333*-18)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3\/2 (b) -2 (c) -0.15 (d) -3 (e) 186 (f) 3 (g) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k - 70. Calculate the remainder when v(12) is divided by (-3 - -1) + 14\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -3, -1, -11, 2 in descending order.\nAnswer: 2, -1, -3, -11, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -49*q - 17. Let x be y(-2). Suppose -x = -4*g + 55. What is the remainder when g is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 3*v - 4. Determine c(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*q**2 - 272780431*q**3 - 25*q**2 + 272780509*q**3.\nAnswer: 78*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 14. Let z(i) = i**2 - 10*i - 3. Let u be z(g). Let w(d) = 5*d + 4. Calculate w(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*m - 2616*m**4 - 19*m + 3*m**2 + 2575*m**4 to the form y*m**4 + i + l*m**2 + a*m + g*m**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5002 + 115766 = 1346*n + 2301*n + 127*n for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3.08711+-76462\nAnswer: -76465.08711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/((n\/(n*n**(2\/15)))\/n)))*n*n**(-5))**(13\/4)\/((n\/(n*n*n\/(n\/(n\/(n*(n*n**(2\/7))\/n))))*n)**42\/(n**(-1\/3)\/n)**(-2\/7)) assuming n is positive.\nAnswer: n**(-619\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1525.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 19, 30, 41, 52?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 0 (c) -0.5 (d) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(2\/15)\/n)\/n)\/n**6)**(-2\/23)\/(n**(-1\/4)\/n*n**(-4)\/n*(n**(-4)*n)\/((n\/(n**(2\/3)*n)*n)\/n)) assuming n is positive.\nAnswer: n**(4263\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 - 167 = -5*r. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsszw. What is prob of sequence sw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-2 - 1) - (-3 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 11*v - 3. Let l = 17 + -15. Let u be c(l). Suppose -u - 15 = -2*q. What is the remainder when q is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Find the second derivative of 9*y + s + 2*y**5 + 1 - 1 wrt y.\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5676*4.\nAnswer: 22704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12060, -7531, 18, 10587?\n\"Answer: 1510*o**2 - o - 13569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 + (-3165)\/(-135))\/((-4)\/18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 7111245*c**2 - 270230559*c - 2567200599.\nAnswer: 3*(c - 2370453)*(c + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6463, 24295, 53481, 94021, 145915, 209163, 283765?\n\"Answer: 5677*a**2 + 801*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 286468 divided by 22036?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 + -48 - 37 - (-51 + -2).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 13. What is the lowest common multiple of 12 and i(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(475) + -2)**2 + 0.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (10 - (-8 - -7))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 152105500 to the nearest 1000000.\nAnswer: 152000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s - 17. Suppose -31*j - 36*j - 378 = -49*j. Give f(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.1279 + -5.1279. Let z be 2\/5 - (-32)\/(-130). Which is the biggest value? (a) v (b) 0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5316, 5390, 5512, 5682, 5900, 6166, 6480?\n\"Answer: 24*w**2 + 2*w + 5290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -17*l + 1728. Calculate the remainder when l is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -153093, -306201, -459309, -612417, -765525, -918633?\n\"Answer: -153108*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(128))*5 + sqrt(128) + (-2 + sqrt(128)*-2)**2 + ((sqrt(128) - (sqrt(128) + -2))*-5)**2.\nAnswer: 112*sqrt(2) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 301, -0.5, 52, 4 in descending order.\nAnswer: 301, 52, 4, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6, 0.1, 0, 2, -25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 630 and 12240.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -173052 by 138.\nAnswer: -1254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28101)\/(-24795)*(-12)\/51?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-6))\/((-28)\/(-60)). What is m in -2\/7 - 20\/7*m**2 - 10\/7*m**4 + q*m**3 + 2\/7*m**5 + 10\/7*m = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o - 15. Let d be r(4). Let a = d - -26. Suppose a = 5*w - 27. What is the least common multiple of w and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**3 - g**2 - 4*g**3 - 1102*g + 7 + 1102*g - g**4 in the form m*g + d*g**4 + l*g**2 + p + c*g**3 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 + l - 2. Let n be j(-2). Suppose -3*a + 12 = 0, -5*i + 2 - n = -3*a. Calculate the highest common factor of 14 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**2*y**2*z + 5*g**2*z**3 + 4*g*y**2*z**3 + g*z**3 + 6*y**2*z**3 wrt g.\nAnswer: -2*y**2*z + 10*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/35 + 2)*((-96)\/49 + 2).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 33609?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 355, 1353, 3001, 5299, 8247, 11845, 16093?\nAnswer: 20991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6*v - 16 = -4*n, 2*v + 4*n = 4. Is (0 - 81\/v)*-2 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 - 47. Let l(y) = y**3 + 14*y**2 - y - 8. Let g be l(-14). Suppose 49 = g*q - 23. Solve c - q = -0*x - 4*x, -2*x + 4*c = -i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = o - 8. Let x(h) = 2*h - 5. What is the units digit of x(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20\/89, -4, -248, -2, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*l - 4752 = -10*l. What is the remainder when l is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82 - (-49 - (18 - 40))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 19 + (-2338)\/210 + 3*4\/(-18). Determine h so that -28\/5*h - i*h**3 + 12*h**2 + 4\/5 = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*i**5 + 0*i**5 + 2*i**5 + (-45 + 45 + 2*i**3)*(-3*i**2 + 4*i**2 + i**2).\nAnswer: 13*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 855374015 + 1816175985 = 119*s. Round s to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 - 67. Suppose o*y - 1541 = 2904. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -668*q**3 + 50 - 33*q + 134351*q**2 - 67174*q**2 + 2*q**4 - 67174*q**2 wrt q?\nAnswer: 48*q - 4008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264*m + 258*m = -36. Let g(z) = -6*z + 7. Calculate g(m).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + r - 1. Let j be f(2). Let x be -1*4 - -3 - -2. Suppose -x - 3 = h. Sort h, 2, j in descending order.\nAnswer: j, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 19*k**2 - 18*k - 14. Calculate n(18).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/21)*(b*b**9)\/b)**(2\/107) assuming b is positive.\nAnswer: b**(370\/2247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -101\/1162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t - 1. Let q be v(-5). Let k(u) be the first derivative of -12*u - 10 + q*u**5 - 3*u**5 + 5*u. Differentiate k(g) with respect to g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -9*j**5 - 3*j**4 + 2*j. Let d(i) = -i**5 - i**4. Let v(f) = -15*d(f) + 5*z(f). What is the second derivative of v(r) wrt r?\nAnswer: -600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4023 + 15?\nAnswer: 4038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 7*f + 2*f)*(0 + 0 + 2*f)*(-3 + 4 - 3) - 1 + 1 - 6*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -37\/7, -0.1, 3, -2\/9, -4 in decreasing order.\nAnswer: 3, 0, -0.1, -2\/9, -4, -37\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3183469895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*r + 1099532 - 116553 + 2916181 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwwqmm. Give prob of sequence qmwm.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c**2 - 3*c + 10. Give h(3).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -324 * 0.4\nAnswer: -129.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (-6)\/2 - (-125 - -2). Suppose -24 = -5*v + 2*f + 113, -f + m = 4*v. What are the prime factors of v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - h - 1 - 3 - 4*h + 3. Give x(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, g: 2, q: 2, o: 2}. What is prob of picking 2 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.2801 to 1 decimal place.\nAnswer: -25.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150\/4 - (-3)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1 - (0 - (175 + (-1 - -2))) is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/4 - 65175*b\/4 + 10337649\/2.\nAnswer: 3*(b - 21403)*(b - 322)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91260 and 1365?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2872)\/(-16)*117)\/(-1*3\/(-6)).\nAnswer: 3, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2119 - -3073. Suppose 5*z - 8*q + 6*q - 1209 = 0, -4*z - 5*q = -l. List the prime factors of z.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.02, -3, 7\/2, 2\/7, -3\/10, -2\/3?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 11976 = 3221. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**4\/3 - p. Let h(g) = -226*g**2 + 6. Let i(m) = 38*m**2 - 1. Let s(q) = h(q) + 6*i(q). Determine r(s(x)).\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 - ((26 - 15) + -9 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rzr when three letters picked without replacement from rzrzzrrrrrzrrrrz.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 217\/12 + 72\/(-864) - -8?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -41. Let w(z) = 3*z**3 - 6*z**2 - 4*z + 9. Is w(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11272113?\nAnswer: 3, 1252457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*m - 4*k + 1 = -176*m, 2*m = -4*k + 26 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*i - 52*i - 20488 = -231*i for i.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 0*o**3 + 4*o**2 + 0*o**4 + 0 - 1\/120*o**5 + 0*o. Determine p so that w(p) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(6300)*2)\/((sqrt(108)*1)\/sqrt(12)*5).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 8:30 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = q. Let s = 1 + -7. Let t be (1 - (-9)\/s)\/(-1). Which is the closest to t? (a) 2 (b) q (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p**(-3))\/p)\/((p*p\/(p**(-1\/4)*p)*p)\/p))\/(p**(-4)\/p**(1\/4)) assuming p is positive.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -20667 times 685\nAnswer: -14156895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2549*0.3.\nAnswer: 764.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 643 (base 14) to base 13.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -7.6 (c) -38.864\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 - -206. Calculate the greatest common divisor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2.1. Let c = i + -1.1. Let a be (5 + (-321)\/63)*(-9)\/6. Is a < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v. Let n(q) = 9*q. Let t be n(-1). Let k = t - -8. Calculate z(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9 - (1 + -1 + -2). Let o(j) = 2*j - 5. Let r(g) = -g. Let w(h) = o(h) - r(h). Let t(s) = s. Let i(z) = -4*t(z) + w(z). Give i(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 733825.\nAnswer: 5, 149, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m + 25*m = 440 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 5 - 4)*((3*z - z + 0*z)*(-3 + 2 - 1) + 2*z + 0*z + 0*z)*(24 - 15 + 38).\nAnswer: -564*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -58523*x - 819326. Calculate a(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/s**1*s)**16\/(s**2)**40 assuming s is positive.\nAnswer: s**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -9. Suppose -h*z - 15320 = -29*z. List the prime factors of z.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, k: 4, r: 3, l: 10}. What is prob of sequence ekl?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 5*i + 5*b - 155, b = -3. Put 4\/7, 0, i in decreasing order.\nAnswer: i, 4\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, y: 1, j: 9, x: 2}. What is prob of picking 1 x and 1 y?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((16\/(-52))\/(-4)). Suppose -24 = 2*r + 2*r. Let t = r - y. Calculate the lowest common multiple of 9 and t.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/90588 + -43814395\/90588. Let d = -483 - v. Let 0 + d*o**3 - 2\/3*o + 0*o**2 = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 9249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85\/3 + -29. Let p = 17451 - 17451.32. Which is the nearest to -0.2? (a) p (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/6 + 1\/2. Suppose o*t - 33 - 12 = 0. Let n(p) = 2*p**2 + p + 1. What is the remainder when n(-4) is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*r + 626 = -4363 + 759. What is the smallest common multiple of 60 and r?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 12 = -b. Suppose -2*q = -b*q + 4. Solve -4*x = -3*x + q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 50*i**2 - 99*i - 139. Let d be r(-48). Sort 35, 3, d, -0.06 in decreasing order.\nAnswer: 35, d, 3, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z. Let l(d) = 6*d**2 + 11*d + 45. Let u(v) = -3*v**2 - 6*v - 27. Let x(f) = 3*l(f) + 5*u(f). What is -4*x(j) + 12*y(j)?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6561949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2. Let p = -12 + 12. Suppose 2*a - 14 = -p*a. Let u(b) = a*b - 4*b + 9*b. Calculate r(u(c)).\nAnswer: -144*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 9 + 1)*(4*f + 2*f - 3*f)*(-2*f + f + 2*f).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -10*a. Let h(n) = -2*n**2 - 1 + a*n + 4 + n. Let t(v) = -v**2 - 3 + 1 + 3*v**2 - v. Determine -4*h(o) - 5*t(o).\nAnswer: -2*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1840, 1827, 1814, 1801, 1788, 1775?\n\"Answer: -13*b + 1853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 379940, 1518862, 3417066, 6074552, 9491320, 13667370, 18602702?\nAnswer: 24297316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2555 = 308*l - 303*l. List the prime factors of l.\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1468, 2200, 12156, 31544, 63508, 111192, 177740?\nAnswer: 266296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 3*u**2 + 5*u - 1. Let d be m(4). Suppose 2*t + 3*t = -10, -d*t = 3*j - 186. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -36, -1, -5, 593 in descending order.\nAnswer: 593, 4, 2, -1, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 6*n**2 - 3*n + 9. Suppose -5*o + 6*o - 6 = 0. Determine p(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 412 and 5665?\nAnswer: 22660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**5 - 6030*l**4 - l**3 - 72*l**2 + 23*l + 216 wrt l.\nAnswer: -120*l**2 - 144720*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (10 + 9)) + (1 - 3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -0.0599 (c) 213\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 16*k**2 - 179*k - 27. What is l(-23)?\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 10*i - 4. Does 6 divide o(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*t = -57*t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88376 + -45367. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 339, 0.2, -5, 22\/19?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 1 = 4*a + 10, 4*a = 2*u + 26 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -57, 358, 3\/4, 1\/5, -0.3, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmrmmemenieemnm. Give prob of sequence mhe.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/10 - (-356)\/(-10). Let u be (-8)\/(-12)*(14 - 59). Let k = u - i. Solve 0 = 4*z - 3*q + k + 1, 2*z + 6 = 4*q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 41166 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75242136 to the nearest integer?\nAnswer: 8674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**2 - 5 + 1 + 5*l**3 + l - 4*l**3 - 2*l**2. What is u(4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 128891 = 17*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3174 and 50094.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 496 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36477960 rounded to the nearest one hundred thousand?\nAnswer: 36500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(168\/(-4))*6\/(-4))\/(-1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 a when four letters picked without replacement from {a: 4, h: 3, m: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -316 + 314. Sort -28, u, -3 in ascending order.\nAnswer: -28, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c**2 + 2993*c + 27081. What is f(-9)?\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3727 - -3724. Which is the fifth biggest value? (a) 4 (b) 10 (c) -3\/4 (d) 3 (e) z\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 21*b - 38 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9814*k + 2*k**2 + 9814*k.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0*(-19)\/304)\/(0 - -3). Let d be 2\/4*(-2 + 6). Solve v*a - 6 = 2*a - 3*y, -d = -a - y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3829, -264, 1, 3\/8 in descending order.\nAnswer: 3829, 1, 3\/8, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, u: 2, d: 1, m: 2}. What is prob of sequence mu?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313 - 333 + 466 = 5*w - 5*s, 3*s + 109 = -4*w for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2029 - -0.2029003788. Round t to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99912 to the power of 1\/2, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/20916 and 76\/5229.\nAnswer: 20916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u - 4*u**2 + 0*u + (3*u - u + 0*u)*(-5*u - 2*u + 6*u) - u + 4*u**2 + u.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h. Let n be b(1). Let a(t) = -5*t - 5*t**3 + 5*t - t - n. Calculate a(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 325 = -8*w. Suppose w = -5*g - 2*q, 2*g + 12 = -0*g + 2*q. Let r = g + 8. Does -2\/7 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**2*f**3 - a**2*f**2*j - a**2*f**2 + 16*a*f**3*j + 5*a*f*j + 4*a*f - 6*f**3*j wrt f?\nAnswer: -12*a**2 + 96*a*j - 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002313032 (base 5) to base 14.\nAnswer: -39cd55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 0)*(-x + 3*x - 3*x) + (-3*x - 3*x + x)*(3 - 3 - 2) + 36 - 36 - 15*x in the form g*x + y and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 32\/5 of a microgram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -0.06212172547578.\nAnswer: -0.06212172547578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 + 3*j**4 - j**3 + (j + 3*j - j)*(2*j**3 - 3*j**3 - j**3) to the form c*j**4 + x + i*j + m*j**3 + l*j**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u + 13 = -l, u - 4*l - 16 = 0. Suppose u*t + 105 = 5*t. Is t\/(1 + 4) + 1442 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -7*k - 645. Let o = -138 - k. List the prime factors of o.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 33*p**3 + 3 + p**3 - 3.\nAnswer: -32*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24253060099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -201.4 + 202. Which is the nearest to q? (a) -3 (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3797*v. Let x(n) = -3796*n - 1. Calculate -3*w(r) + 2*x(r).\nAnswer: 3799*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/80 + (-5562)\/(-8). Suppose -o + 2*d + 120 = -28, 0 = 5*o + 5*d - t. What is the remainder when o is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -11*w + 1. Let g be u(-4). Suppose -39 - g = -3*o. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1127 or -28?\nAnswer: -1127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w**3 + 2 + w - 21*w**3 - 12*w**3 to j*w**2 + t*w + k + z*w**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 10:07 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00054203 rounded to five dps?\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 335495 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6822409?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 410136.5 millimeters to kilometers.\nAnswer: 0.4101365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, -4, 4, -0.25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60056*o**3 - 2882*o**2 wrt o.\nAnswer: 360336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -2. Suppose o*s - 12 = 4. Suppose -x = 0, 2*c - 4*c + s*x + 126 = 0. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*m*p**4 + 17669*m*p**3 - 18220*m - 8 wrt p.\nAnswer: 44*m*p**3 + 53007*m*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 33864 = 4*o - 13132, 3*o - 3*v - 35238 = 0. Is o a multiple of 235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -42854, -4 in increasing order.\nAnswer: -42854, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*l**5 + 17*l**5 - 105*l**3 + 26*l + 40*l**2 - 3*l - 3*l + 10*l**4 = 0. Calculate l.\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 187.99 + -188. Let p = 11421.989926 + -11422. Let r = p - n. What is r rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 10*m**2 - 3*m**3 - 5 + 0*m + 2*m**3. Let h(z) = 6*z + 103. Let y be h(-19). Is u(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3\/7*b**2 - 54\/7 - 9\/7*b = 0?\nAnswer: -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwvv when four letters picked without replacement from {w: 2, v: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 12*j**2 + j. Let o(h) = -23*h**2 - 5*h - 29. Calculate -2*a(t) - o(t).\nAnswer: -t**2 + 3*t + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -175 + 178. Let p = -5 + 0. Which is the third smallest value? (a) -4 (b) i (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/(-6) + -8 + 4. Let b be (-32)\/(-8) + u\/(-1). Solve 5*s + 23 = 5*r - b*r, 2*s - 2*r + 10 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1503*l + 1501*l = 2*d - 12, -4*l + 11*d = 126 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -8*p**4 - 2*p**3\/3 + 12*p - 26. What is the third derivative of w(j) wrt j?\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, 0.2, -2, -24, 1, -38?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3178848 divided by 6\nAnswer: 529808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 142*k + 5680. Let w be s(-40). Let f = -1.3 - -1.1. What is the nearest to 0.1 in w, -2, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 5 (b) -0.48 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29230783 less than 4?\nAnswer: -29230779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226*c**2 - 219*c**2 + 16*c**3 + 673*c**2 - 228*c**2.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29240 and 26360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate y**3*z + 632*y**3 + 2*y**2 + 14*z wrt z.\nAnswer: y**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*a = 2*h + 260*a + 239, 0 = 3*h - 3*a - 39 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1458) + 1 + sqrt(1458)*1)**2*4.\nAnswer: 432*sqrt(2) + 23332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12654 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3015.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 91267?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 91683640\nAnswer: 1\/18336728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*sqrt(7) + -3 - sqrt(42)\/sqrt(96)).\nAnswer: -6 + 11*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1475, -2950, -4425, -5900, -7375?\n\"Answer: -1475*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pkpdkdkrjkkdrd. Give prob of picking 2 r, 1 j, and 1 p.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 11:02 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56.822 - -56.7. What is a rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003345196516 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 57 = -x + 177, -2*s - 3*x + 236 = 0. Let u = s - 113. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 194*a**2 + 129 - 262 + 131 - 1374*a**2 as m*a + f*a**2 + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1661 - 1660. Let g = 10 - -7. What is the nearest to k in 2, g, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 5 = d. Let r be (322\/50)\/d - 1*-1. Put 0, 1, -3\/7, r in ascending order.\nAnswer: -3\/7, 0, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.02487867 from -2597.\nAnswer: -2596.97512133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15981259*b**3 - 18705041*b?\nAnswer: 95887554*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40618927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -0.3, -9, -3, 3\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 210, 5, 0.2, -0.5, -485?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {c: 3, w: 12, b: 3}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -22221 (base 3) in base 10?\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9738*y - 9770*y + 352 = 0 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + (-2*sqrt(539) - sqrt(539)).\nAnswer: -21*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 5 (b) -0.4 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34\/57 - -4\/57. Which is the nearest to -0.2? (a) -1\/5 (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((45\/(-12))\/((-3)\/12)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -650 + 654. Suppose l*j - 4*k = 28, 8*j - 2*k = 10*j - 22. Calculate the greatest common divisor of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = 4*k. Suppose -3*s - k = -10. Solve 0 = -3*v - g - 2, g + s*g + 8 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -6*z + z. Let o = 16 - 14. Let t(b) = b**3 + 4 + b**z + 2*b**o - 6*b - 6*b**2. Determine t(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.008 (b) 313 (c) -0.2 (d) -3\/8 (e) -1 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/125 and 34\/675?\nAnswer: 3375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -1\/20*z**5 - 69*z + 0 + 6*z**2 + 1\/6*z**3 - 2\/3*z**4. What is j(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479650 is divided by 94837.\nAnswer: 5465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2. Let i(r) = 517*r**2 - 7 + 10 - 7 - 8*r + 8*r. Give i(p(a)).\nAnswer: 2068*a**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/44 + 11\/4. Let i = d + 9. Suppose -6*t + i = -4*t. Let u(g) = g**3 - 5*g**2 - 8*g - 5. What is u(t)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 3*w - 2, 5*w = 5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 76*f**3 + f**2 - 9*f - 9. Let r be d(-1). Let j = r - -69. Let o(a) = -a**2 - 7*a - 1. What is o(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3184*j - 2*x - 2058 = -3313*j, 0 = -j - x + 19 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 677262 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 - ((-1 - -4) + -8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -6*r**3 - 412*r**2 + 96*r - 2893. Let z be h(-69). Let t be (2\/4)\/((-2)\/4). Sort t, z, -174 in decreasing order.\nAnswer: z, t, -174","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + x)*(-3*x**3 - x**3 + 5*x**3) + 0*x**4 + 2*x**4 + 0*x**4)*(0 + 5 - 2)*(-1 - 1 + 0)*(5 - 14 - 1)*(x - 1 + 1).\nAnswer: 180*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.069795 + 0.07. What is m rounded to five dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2024 is divided by 287.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 5, -2, -29\/5, 3.39 in decreasing order.\nAnswer: 5, 3.39, 0.4, -2, -29\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 861*p + 4308. Calculate u(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 1:51 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -8 + (1 - (-1 + -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -5, 3 in decreasing order.\nAnswer: 5, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 864 is divided by 186.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbvsspvvrvgrv. Give prob of sequence gsrs.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.768586876 to 2 decimal places.\nAnswer: 0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 577*n**3*w - n**3 - 9*n**2 + 2*n*w + 20*n with respect to w.\nAnswer: 577*n**3 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*f + 2 - 50*f + 19*f + 6*f + 29*f - 2*f + (0 + 2*f + 0)*(0 - 3 + 5) + 1 - f - 1.\nAnswer: 29*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -296 - -37. Let f = 261.1 + t. What is f rounded to one dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -10143410431?\nAnswer: 10143410440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19441 and -0.08.\nAnswer: 1555.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*y + 438 - 78 = 11*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-372)\/6 - -3*(-1 - 0). Does 28 divide 4\/(-10) + (-5486)\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167777707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s + 44. Let a be h(21). Let i be (-2)\/(-4)*(-4 - -4). Suppose 14 + i = a*k. Solve 0 = 3*w - k*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 406164628 to the nearest integer?\nAnswer: 20154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**5 - 143*o**4 + 14*o - 3 wrt o.\nAnswer: -20*o**3 - 1716*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d + 6. Let j be (-2)\/17 - 2299\/(-323). Let l = j + -3. Calculate k(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5050843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(252)*-4))**2.\nAnswer: 11\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2410*a**6 - 639*a**2.\nAnswer: 289200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94336*h - 20595*h + 2536*h + 89737*h.\nAnswer: 166014*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*(-4 + (((sqrt(300) - (sqrt(300) + (3 + sqrt(300) - sqrt(300)))) + 0)**2 - sqrt(300))) + -5).\nAnswer: -150 + 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -324 + 668. Is z a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)*k)**9 assuming k is positive.\nAnswer: k**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 670603 + -43572. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132833?\nAnswer: 132833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5\/d**(-1\/6)*(d\/d**2)**(-7\/4))**(1\/8) assuming d is positive.\nAnswer: d**(83\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 808978135?\nAnswer: -808978134.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 650 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6473*a**2 - 2*a + 5872 wrt a?\nAnswer: 12946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15033 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 22161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*p - 4*h = -1, 4*p + 33 = -h. Let w be 2 + 4 + -2 + 25\/p. What is g in 0 + 3\/7*g - w*g**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2\/23)\/((c**(4\/7)\/c)\/c))**(-16))**10)**(3\/2) assuming c is positive.\nAnswer: c**(-51840\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**9\/540 + h**5\/20 - 13*h**4\/6 - 5*h. Let a(n) be the third derivative of l(n). Find the first derivative of a(c) wrt c.\nAnswer: 112*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 2*a + 18 = 30, -4*r = 4*a - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3107861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 0 - 3*g**3 - 1 + g**3 + g**3. Let r(y) = 3*y**2. Determine h(r(j)).\nAnswer: -27*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-1159)\/114)\/61)\/(356\/12))\/((-3)\/(-12)).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*q = 0. Suppose 2*t - 29 = -g + 5, q = -3*g - 4*t + 92. Calculate the remainder when 71 is divided by g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**4\/6 - 3*x. Let p(u) be the third derivative of -5*u**5\/12 + 237*u**2. Calculate q(p(c)).\nAnswer: 1250*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 94*a - a**4 + 0*a + 3*a**2 - 54*a + a**2 + 3 in the form i*a**4 + m*a + q*a**3 + w + k*a**2 and give m.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(304) + -3)**2 + sqrt(304) + (sqrt(304) - (sqrt(304) + 5 + 1)) + sqrt(304) - ((-4*(sqrt(304) + 3))**2 - ((-5 + sqrt(304))**2 + 2)).\nAnswer: -4370 - 392*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 4*g**2 + 6*g - 5. Let v be r(5). Suppose -6*i = -10*i + 16. Suppose -i*j - j = -v. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80920 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -20*c. Let o(t) be the first derivative of 97*t**3 - 4857. Determine i(o(d)).\nAnswer: -5820*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 339 + -346. Let v be (-2)\/(-8) - (-17)\/(-4). Let d = q - v. Sort d, -5, -2\/23 in descending order.\nAnswer: -2\/23, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 0*d - d)*(-3*d**3 - 6*d**2 + 6*d**2 + (-d + 2*d + 0*d)*(0*d + 0*d - 2*d**2) + 3*d**3 - d**3 - d**3).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 2*s + 42, -13*s - 12*s = -22*s + 6*k + 27 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 70a (base 13) to base 5\nAnswer: 14233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24 + 28c5?\nAnswer: 28e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 521425?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*u + 4. Let v = 23 + -26. Sort -4, v, u.\nAnswer: -4, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3 - 24*r**2 - 128*r = 0 for r.\nAnswer: -4, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 28*a**2 + 900*a + 137. Does 25 divide t(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 divided by 8536\nAnswer: -103\/8536","meta":{"dup_signals":{},"source":"arithmetic__div_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: Is 42 a factor of 110772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87 + 87.03. Which is the nearest to -1\/2? (a) v (b) -0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v = 4*l - 51, 467*l = 465*l + 5*v + 39 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 + 33*u**2 + 1 + 2399910*u - 2399910*u.\nAnswer: 33*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1200) - (-2*(sqrt(60)\/sqrt(5) + sqrt(12)) + sqrt(12)))\/(sqrt(36)*-3 - sqrt(36)\/sqrt(36)).\nAnswer: 54*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -20*y + 53. Let b(p) = 1. Let s(i) = -5*b(i) - k(i). Let u(n) = 7*n - 19. Let m(f) = 2*s(f) - 7*u(f). What are the prime factors of m(-8)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*r - 30*r + 44*r in the form p + d*r and give d.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 71320.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 23 = 4*o. Let z(w) = 0 + w**2 - 7 - 6*w - o*w**2 + w**3. Let d be z(7). Which is bigger: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -1\/4, -13, -4\/3, 4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13374049 greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 11 + (21 + (-10 - 2) - -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -88*y + 349. Calculate n(8).\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 4. Let h be q(3). Suppose 2*a + l = 3*a + h, 0 = -a - l - 3. Is 2*(2 - 9\/a) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t + 10. Let g(i) = i**2 + 2*i - 4. Let l be g(-5). Let r = 2 - l. Is n(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o. Let v(n) = -474 + 474 - 3*n. Give r(v(s)).\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/(-2))\/((-5)\/(-20)). Is y\/(-3)*(-3165)\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.2218768g?\nAnswer: 221876.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - d**2 - d + 1. Let m be v(0). Let r = -2 - -5\/3. Let b = 31 + -159\/5. What is the nearest to m in r, b, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*w**2 - 708*w**2 + 506*w**2.\nAnswer: -272*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/79292 and 5\/28.\nAnswer: 555044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001010 - -10000101?\nAnswer: 111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 123 or -2?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 348810188 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/4*(-4)\/3. Suppose 4*j + 4 = 5*i, 5*i = 7*j - z*j. Let p be i\/(2 - 22)*-2. What is the third biggest value in -2, 0.5, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**4 + 82*u**3 - 48*u**2 - 3808*u + 10496 = 0. Calculate u.\nAnswer: -82, -8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 8822*a + 363387. Determine d(41).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1994, 3980, 5966?\n\"Answer: 1986*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 780 and 144?\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -104431 (base 5) to base 13\nAnswer: -191a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -34, -137, -0.09, 3\/8?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/1086 and -151\/42?\nAnswer: 7602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 2)*(0 - 4 + 2)*(-3 + 5*z - 6*z + 5 + z - 1 + 1 + (-3 + 3 - 2)*(-1 - 2*z + 1) + z - 2*z - z)*(229*z**2 - 117*z**3 - 229*z**2).\nAnswer: -1404*z**4 - 1404*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 17.16, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10304)\/1610 + (-106)\/(-15)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jv when two letters picked without replacement from {c: 1, m: 1, j: 1, v: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.008, -256, 1 in descending order.\nAnswer: 1, 0.008, -1, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rirazsi. What is prob of picking 1 r, 1 z, 1 s, and 1 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1435 - 1421. Let r(j) be the third derivative of 0*j**3 - k*j**2 + 1\/90*j**5 + 0*j + 5\/36*j**4 + 0. Solve r(w) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 915*m**3 + 2659*m**3 - 136*m**3 + 2996*m**3 - 732*m**3.\nAnswer: 5702*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 147*k**4 + 1200*k**3 + 585083*k**2 + 2?\nAnswer: 3528*k + 7200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + 0)**2 - sqrt(175)*6*-3.\nAnswer: 90*sqrt(7) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -6.6. Let k = -1.92 + -0.08. What is the fourth smallest value in 4, k, f, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*k + 78*k - 38*k.\nAnswer: -212*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -970, -1553, -2524, -3883, -5630?\n\"Answer: -194*j**2 - j - 775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*5\/(-90) + (-74)\/(-12). Suppose 51 = 2*m + m. Suppose -n*b + 7*b = m. What is the remainder when 50 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 57723 - -394?\nAnswer: 58117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1*(6 - 1)*(6 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4463, -64, -4, 4 in descending order.\nAnswer: 4463, 4, -4, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6389308 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**3 - 28 - 4*x**3 - 4*x + 2*x to the form w + n*x + s*x**3 + q*x**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**2\/7 + 34069652*o\/7 - 290185296850276\/7 = 0?\nAnswer: 17034826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4410914 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -16*m**3 + 252*m**2 - 74*m + 1338. Give l(16).\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1024*w**4\/3 + 17792*w**3 - 19728*w**2 + 7362*w - 918.\nAnswer: -2*(w - 51)*(8*w - 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 134347, 267029, 399711, 532393?\n\"Answer: 132682*h + 1665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*q = 90861, 15*u - 14*u = 4*q + 30281. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -1, -7748002 in increasing order.\nAnswer: -7748002, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12 - (1 + -1)\/1. Let x be (k\/4)\/(6\/(-8)). Let u be (-2)\/x*(-360)\/(-2). Calculate the greatest common divisor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (4 + -17 + 6) - 26.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j + 21. Let v(o) = -20 + 2*o - o + 2*o. Let u(g) = 2*c(g) + 3*v(g). Let x be u(4). What is the closest to x in 0.1, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*v = -43*v + 300. What is the second derivative of 0 + v*h**2 - 129*h + 0 + 76*h**2 wrt h?\nAnswer: 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30580)\/220176)\/(10\/(-156))?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 305.23, 1\/2, -607?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5799*a = -33071 + 357488 + 327 for a.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(13) + sqrt(13)) + -5 + -3)*-6 - -1*(sqrt(91)\/(sqrt(28)\/sqrt(4)*6))**2*3.\nAnswer: 589\/12 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 60 = -0*a. What is the remainder when 47 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4757 + 124?\nAnswer: 5103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 20 = c, 57 + 3 = 3*c - 3*l. Calculate the remainder when 57 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/63 + (48\/(-21) - -2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14241477 divided by -4747159.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-21)*(-7)\/(-2). Let z(b) = -b - 7. Let h be z(-8). Calculate the greatest common divisor of l and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.11 (b) 5\/3 (c) 0.025\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31300223 (base 4) in base 8?\nAnswer: -156053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wt when two letters picked without replacement from {t: 5, d: 4, k: 1, w: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98941.38ml to litres.\nAnswer: 98.94138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3099774*h*v + 15278297*h wrt v?\nAnswer: 3099774*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - 0.3. Let x = -6168 + 6164. Sort m, 4, x in increasing order.\nAnswer: x, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + -12 - (-54 - -49).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -25729 (base 13) to base 12\nAnswer: -34151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1\/9982, -75\/2, 1\/4.\nAnswer: -75\/2, 1\/9982, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-45)*20\/(-26)*-24.\nAnswer: -48\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*v + 4. Let z be (1\/v)\/((-26)\/(-16)). Let k = -1.7 + 0.7. What is the nearest to k in -1\/4, z, -0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + f + 2)*(-2*f**3 - f**3 + f**3) + 42*f**4 + 814 - 814.\nAnswer: 40*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9891070?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 960664 to the nearest integer?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2411 + 455703?\nAnswer: 458114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - (-15)\/9)*-5. Let b(q) = q**3 - 4*q**2 - 2*q + 1. Let t be b(5). Suppose -3*x + 7 = w + 5, 0 = 4*x - 2*w - t. Which is smaller: v or x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/30)\/((-1)\/(-20)). Suppose -4*r + 3*p - q = 0, -6*p = -4*r - 4*p - 4. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.53 - -0.03. Which is the nearest to 0? (a) -0.4 (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 2)*(6*w - 5*w - 2*w + w - 3*w - w + (-w + 0*w + 2*w)*(-1 - 2 + 4) - 4*w - w + 4*w).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-38)*f**(-15\/4))\/((f**(7\/4)\/f)\/(f*f**(-10\/17))))**(-3\/34) assuming f is positive.\nAnswer: f**(4293\/1156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79813952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/16 + (-3546)\/(-144). What is the second derivative of -j*t**4 - 15*t**2 + 24*t**4 + 17*t + 5*t**2 wrt t?\nAnswer: -12*t**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*s + 5*u, 14*s + 2*u = 19*s - 28 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 + 263. Suppose v - 92 = -2*u, -6*u - 4*v = -u - h. Suppose 53 - u = z. Solve z*t - 20 = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428 + 412 = q + 3*s, 5*q = -8*s - 38 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3117 + -12347\/4. Let q = -1093\/36 + g. Let y = 0.8 + -1. Which is the biggest value? (a) 3 (b) y (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 16*w**2 - 15*w + 50. Let u be s(-17). Suppose -4*j + u = 0, 2*f + 2*j = -f + 26. Solve 2*i + f = 4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + l - 1. Let o(z) = 2*z**2 + 3*z - 7. Let x(q) = o(q) - 3*v(q). Let n(y) = -18 - 17 + 82 - 46. Suppose 0 = 3*i + 6. Determine i*x(r) - 9*n(r).\nAnswer: 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lluluajula. What is prob of picking 1 l and 1 a?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a**2 + 11*a**2 + 11*a**2 + 5*a**2 - 31*a**2 - 2*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**2\/13 + 1405600*a\/13 + 2811208\/13 = 0?\nAnswer: -2, 702802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(10) + -2*sqrt(10) + sqrt(10) - sqrt(10)) - (sqrt(13) - sqrt(65)\/sqrt(5))**2*5 - (6*sqrt(13)*1 - ((2*sqrt(143))\/sqrt(11) + sqrt(13))).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01 - -0.29. Let o = 10 - 13. Let n = 1.6 - -0.4. What is the nearest to n in -1, o, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 570 = 5*o - 2*o. Let n = -225 + 535. Let k = n - 246. Calculate the remainder when o is divided by k.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/500 and 59\/45606888.\nAnswer: 5700861000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 f, 1 s, and 1 g when four letters picked without replacement from gsgsgjifg.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 10 - 4 = 0. Let c = -21 + 17. Let v be 1 + c + n + 5 + 0. Sort 10, v, 4 in increasing order.\nAnswer: v, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/6 and 62*(8493\/(-1212) + (-10 - -17))?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3592 - -3652. What is the greatest common divisor of i and 1290?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = u + 9, 5*q + u + u + 24 = 0. Let m = 9 + q. Let i(p) = -7*p**2 - 17*p + 7. Let v be i(-3). Put m, 2, v in descending order.\nAnswer: m, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**14*k)\/k**(-2\/19))**(-13\/7) assuming k is positive.\nAnswer: k**(-3978\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**2 - 265*y\/4 + 11\/2 = 0.\nAnswer: 1\/12, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 662 a factor of 1155852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418670 is divided by 1411?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*q + 120, -3*v - 2*v = 3*q - 147. Is q a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*t**5\/5 - 93*t**4\/5 + 1572*t**3\/5 - 291*t**2\/5 - 312*t + 384\/5 = 0. Calculate t.\nAnswer: -16, -1, 1\/4, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eez when three letters picked without replacement from {z: 2, e: 16}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38124625 a multiple of 935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4 - 0. Let x be (-536)\/(-18) + 10\/45. Let f(c) = -c**2 + 6*c**3 + x*c - 29*c - c**3. Give f(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t**(2\/67)*t*t)\/t)*t\/(t**(-6)*t*t))\/(t*t**31\/t)**(-34) assuming t is positive.\nAnswer: t**(70951\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 857 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -26*k + 15010. Give m(576).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44009 is divided by 530.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15, -4.44, 0, -459?\nAnswer: -4.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (0 - -1 - -28). Suppose -k = -0*k + 3. What is the least common multiple of 5 and k*(-5)\/(d\/(-8))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8913919 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 339970017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -16) + (1 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*z**2 - 9*z**2 + 6*z**2.\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12300 + -12291.2983. Let r = 8.795 - 0.095. Let o = r - b. Round o to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -141.02 and -4.\nAnswer: 564.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 3. Calculate the common denominator of ((-10)\/(-6))\/(h\/52) and (3\/(-6))\/((-5)\/87).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*q - 4*g - 8 = -114*q, 0 = -5*g - 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p + 18. Let i be l(5). Solve i*a = -0*a + 3*b + 9, -15 = -a + 5*b for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -18. What are the prime factors of (-6)\/(-15) + 373\/h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*k + 26 = 132 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m - 3. Suppose 4*r - 12863 = 3*h, r - 2*h + h - 3216 = 0. Let w(k) = -3202 + 11*k - 3*k + r. Give -9*f(q) - 2*w(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46723 + 46735. Suppose 5*y = 24 + 6. Solve t*d = y*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**4 + 99*w**3 - 133*w**2 - 3363*w - 6300 = 0. Calculate w.\nAnswer: -100, -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133964 a multiple of 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9 - -14 - 6 - 3. Let a be 6\/b - -1*4908\/24. Calculate the highest common divisor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (36 - (22 + -11))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 c when two letters picked without replacement from cayjnva?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 6*l**2 + 2*l - 5. Let o be m(6). Find the third derivative of 2*y**3 + 2*y**3 - o*y**2 + 3*y**2 wrt y.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**1*c**(-5)*(c**(2\/7)\/c)**(-17) assuming c is positive.\nAnswer: c**(57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 3*z + 30, -3*d - d + 10 = 2*z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 0.3 (c) -1 (d) -9\/52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 31, 17, 1, -17, -37?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1. Let a(t) = -13*t - 3. Let h(m) = -a(m) + 2*g(m). Let j(p) = 6*p + 3. Let v(c) = 3*h(c) - 5*j(c). Let o(b) = -b. Give o(v(i)).\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7290 and 10?\nAnswer: 7290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 28*d**2 - 28*d + 19. What is j(-29)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 4*s**4 + 140*s**3 + 1608*s**2 + 6608*s + 7840 = 0?\nAnswer: -14, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from drtdrddcdr.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 690?\nAnswer: -687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*q - 31, q - 17 = 2*q - c. Let m(k) = -k**3 - 14*k**2 - k - 8. Let v be m(q). Solve -h = -v*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1302? (a) -6 (b) -0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 238584, 477017, 715296, 953421, 1191392, 1429209, 1666872?\nAnswer: 1904381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q**3 + q. Suppose 0 = 3*m - 2*m - 2. Let b = m + 3. Suppose -2*z - 3 = -b*z. Determine f(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -12. Solve -b = -h*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1017 + -578. List the prime factors of c.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5188, 10383, 15582, 20785?\n\"Answer: 2*s**2 + 5189*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2034 - 765074524.\nAnswer: -765072490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34 - 118?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by 2269.\nAnswer: 23\/2269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 143755789834 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*k - 53, -105 = -5*o - 4*k + 160. Suppose 0*l - 72 = -2*l. Let r = o - l. What is the remainder when r is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-91)\/39*(-171)\/1463?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -193*h**3*l**2 - 2*h**2*l**2 - 2*l**2 + 293*l wrt h.\nAnswer: -579*h**2*l**2 - 4*h*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/16 - (-6)\/(-4). Let i = s + 5. Solve 0*t = -i*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*z + 18 = -5, -4*p = 5*z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 0 - 1) + 12. Let m = -126 - -58. Let p = m - -84. Solve 3*j = 4*g + b, p = -2*j + 6*j - 2*g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 3:41 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168) - (sqrt(168) + sqrt(168)*-1*3))\/sqrt(8))\/(-1*sqrt(432)*6).\nAnswer: -sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 60795*h**2 - 2*h + 4. Is d(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*a = 1291 + 269 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15674 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93851?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 1. Let b(w) = -15*w - 2. Let f(y) = b(y) - 4*h(y). What is the first derivative of f(r) wrt r?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + -0.2. Suppose 3*z + 17 = -4*p, -p + 108*z - 111*z = 38. Which is the third smallest value? (a) m (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(6*sqrt(64)*-2*-5)\/((sqrt(18) + sqrt(18)*1)\/sqrt(9)*-3).\nAnswer: 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1463 (base 15) to base 10.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27008.18m in kilometers?\nAnswer: 27.00818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -641 + 930. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000688379 to 6 dps.\nAnswer: -0.000688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 3:58 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 289 + 1031. Let g be (-8)\/(-6)*z\/352. Let w = -2 + 43. Solve 4*r - w = 5*s, -s + 15 = -0*s + g*r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*u**4 - 71*u**3 + 16*u**2 + 115652165*u wrt u.\nAnswer: -96*u**2 - 426*u + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqg when three letters picked without replacement from aamadgmdaqggqmdg?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14, 98, 250, 482, 806?\n\"Answer: 2*z**3 + 22*z**2 + 4*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*h**4 + 1 - 204*h**4 + 318*h**4 + 331*h**4 + 366*h**4 - 165*h**2 wrt h.\nAnswer: 18408*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -25987 and -205.7.\nAnswer: -26192.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -249, -225, -203, -183, -165, -149, -135?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**5\/9 - 802*y**4\/9 - 6500*y**3\/9 - 17948*y**2\/9 - 6538*y\/3 - 818 = 0.\nAnswer: -3, -1, 409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/30)\/(3\/15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 443992 a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1222 (base 3) in base 2?\nAnswer: -110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbaibwgs. What is prob of sequence is?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -87a (base 12) to base 10.\nAnswer: -1246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -39 + 11 + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2. Let o(y) be the third derivative of -287*y**6\/180 + 205*y**3\/6 + 22*y**2. Let x(l) be the first derivative of o(l). Give x(w(q)).\nAnswer: -2296*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*f - 3*o, -f = -4*f + 4*o + 22. Suppose -5913 = -f*i - 243. Is 45 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 19*k - 88. Calculate the common denominator of -113\/10 and (-289)\/(-20) + (k\/10)\/(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 0 + 6. Suppose -h*x = -6*x + 42. Calculate the remainder when 27 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 214313 - -312?\nAnswer: 220130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-8)*(-1 + -2 + 1). Let r be (q\/9)\/(1\/162). Suppose 0 = -56*z + r*z + 382. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (12 + (2 + -1 - 74 - -7))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*f = 3382, 4*i + 5*f - 5101 + 561 = 0. Factor -97*c**3 + 98*c**3 - i*c + 3317*c + 19683 + 81*c**2.\nAnswer: (c + 27)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 351 - 111. Let k = -10 + a. Let i be 6\/(-33) - k\/(-88)*2. Which is greater: 2 or i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y + 7. Let v(w) = w + 3. Let o(r) = -3*b(r) + 7*v(r). Let q be o(-2). Solve 17 = -q*g - 5*h, -3*g = -0*g + 4*h + 13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 17*g**3 - 2*g**2 + 2*g + 1. What is q(2)?\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.082? (a) -74 (b) 3\/4 (c) -3 (d) 0.1 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -39977, -159915, -359811, -639665, -999477, -1439247, -1958975?\n\"Answer: -39979*g**2 - g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55.8*3.\nAnswer: -167.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99620, 99619, 99618, 99617, 99616, 99615?\nAnswer: 99614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 797?\nAnswer: 478.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 155200444 - -2?\nAnswer: 155200450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.215913 months in millennia?\nAnswer: 0.00126799275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*x + 192554 = -88138. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, u: 9}. Give prob of picking 3 u and 1 r.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64091964.\nAnswer: 2, 3, 1303, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 13, -2\/9, -41?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (279\/(-6))\/((-275)\/(-132) + -6 - 658\/(-141))\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2081*l + 640*l**3 - 1282*l**3 + 638*l**3 - 2081*l.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672 - 324 = 29*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 67*d**2 + 1053*d - 5739. Give s(5).\nAnswer: 1201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uur. What is prob of sequence ur?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10567343, 10567368, 10567415, 10567490, 10567599, 10567748, 10567943, 10568190?\n\"Answer: g**3 + 5*g**2 + 3*g + 10567334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 - 2*n**2 + 2 + 7*n**4 - 11*n**4 wrt n?\nAnswer: -96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**2*p**4 - l**2*p**2 - 16*l - 28*p**5 - 515*p**3 + 490*p**2 wrt p?\nAnswer: 48*l**2*p - 1680*p**2 - 3090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 4:17 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 4:53 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 10*x - 32. Let y be m(6). Let w be 1 + 4\/y*2. Solve w*h - 2*h + 2 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 + 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 123812\/65 - 2\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 29*z**2 - 210*z - 8. Determine h(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32075531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 + n + 7*n**3 - 15 + 15 in the form j*n + v*n**3 + u + y*n**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 700964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from {a: 4, j: 3, e: 2, g: 2, m: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/5)\/z)**40*z**2\/z**(1\/6)*(z**0\/z)**4\/(z**(1\/2)*z**(-2\/7)) assuming z is positive.\nAnswer: z**(-554\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27.06 - 27. Let b = -1.54 - w. Let m = b - -1.5. Which is smaller: -0.08 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-780)\/13*(-8)\/120*3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 292.97577 milliseconds?\nAnswer: 0.0048829295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 3)\/(7\/((-315)\/(-27))). Let w(j) = 6*j**3 + 3*j**2 - 10*j - 3. What is the hundreds digit of w(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 6:36 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 2303228?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8987 is divided by 298.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.8 + 6. Let u = g + -0.3. Let b = 0.1 - -0.4. Sort -1, b, u in ascending order.\nAnswer: -1, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -38*s**3 - s**2 - 16*s - 2. Let o(f) = -36*f**3 - 5*f**2 - 13*f - 2. Calculate -4*h(i) + 5*o(i).\nAnswer: -28*i**3 - 21*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-25)*(-205)\/4. Let b = 33\/5 - y. What is the third biggest value in -1\/4, 5, b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -74 and 526?\nAnswer: -38924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -49*b**3 + b**2 + b + 1. Is 34 a factor of r(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o. Let r(p) = -315391364*p. Calculate y(r(k)).\nAnswer: 315391364*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 + 0.2. Let l = -0.1 + -0.9. Let d = 555.7 + -556. What is the closest to l in d, -0.2, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-5\/2)*z*z**(-16\/5)*z*(z**(-10)\/z)\/z*z*z*z**(7\/3) assuming z is positive.\nAnswer: z**(-161\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1423514 (base 7) in base 5?\nAnswer: 22102324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6 = 2. Sort -5, h, 3.\nAnswer: -5, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/1086 and -11\/724.\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u + 4. Let s = 28 - 28. Suppose s = -10*b + 2*b. Let r be z(b). Which is greater: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/3))**44)**(-6\/7) assuming q is positive.\nAnswer: q**(176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/3, -0.201, -3?\nAnswer: -0.201","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 8*y**2 - 2*y + 4. Let q be u(3). Let x = 438 + -410. What is the highest common factor of x and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (2 - 2 - -10). Solve -3*u + 8 = -2*o + 3*o, 0 = 5*o - 2*u + t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + 0.4. Let y = -34256027\/171 + 200327. Let z = 8\/19 + y. Put z, -2\/7, c in ascending order.\nAnswer: -2\/7, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -8*f + 225. Let q be c(28). Let s(v) = -6*v - 2. Let l be s(q). Which is smaller: l or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/110 and -9\/32718830?\nAnswer: 359907130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24441*d**3 + 24436*d**3 + d**2 - d**2.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/221? (a) 2\/17 (b) 0.2 (c) 2\/7 (d) 0 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 90 = -4*z, 4*r + z - 141 = 74. Suppose 0 = -4*n - 5*m + 45, -3*n - 3*m - 19 + r = 0. Solve -2*a - a = n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80067.3 minutes in hours?\nAnswer: 1334.455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z - 24. What is n(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 303 + -216. Suppose 5*f - 2*z - 73 = 0, 0 = 3*f - 5*z - c + 28. Calculate the highest common divisor of 169 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126 - 120. What is the remainder when 34 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 45067.12\nAnswer: 90134.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 219*-0.4.\nAnswer: -87.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 - 15*q + 2. Calculate p(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ruyyrwewwvwwy. What is prob of sequence uv?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -23, -35, -49, -65, -83?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75311751?\nAnswer: 3, 17, 1476701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 + -21232?\nAnswer: -21132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8991 + 233709\/26. Calculate the common denominator of l and 73\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-609)\/87)\/((-7)\/6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11, -5, -15, -19, -17, -9, 5?\n\"Answer: 3*d**2 - 25*d + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 144, 268, 444, 672?\nAnswer: 952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(sqrt(80)\/sqrt(10)))\/((-5*sqrt(176))\/sqrt(11)).\nAnswer: -sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5 = -5. Suppose -z = 2*u - 0. Let g(w) = 14*w**2 - w - 1. Is g(u) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (-14)\/(-21))\/((-4)\/(-30)). Let s = b + 394. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145, 700, 2055, 4606, 8749, 14880, 23395, 34690?\nAnswer: 49161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1172056, -4688220, -10548494, -18752878?\nAnswer: -29301372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*w = 19*w + 133 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 4, 0*l - 5*l + 15 = 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.4 - -1.2. Which is the smallest value? (a) -2\/3 (b) -0.05 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-1*3)*2\/(-30).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 2. Let r = -1873\/4745 - 5\/949. Which is the second smallest value? (a) 0.2 (b) x (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/14*((-21)\/12)\/1. Solve 0*q**2 + 1 - 3\/2*q + h*q**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 3*k + 7. Let w be q(-5). Let i(z) = -2*z - 17. Let f be i(-8). Let n = f - w. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -434*g. Let s(j) = 2*j**2 + 22*j. Determine y(s(r)).\nAnswer: -868*r**2 - 9548*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 7*t**5\/20 + t**4\/12 - t**3\/6 - 3*t**2. Let m be o(1). Let z = m + -12. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 1:09 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 342889?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-5)*(8 - 3). Suppose 0 = 5*m - k*m - 159. Calculate the remainder when m is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 - -0.1. Let s = -1.093 - -1.493. Which is the second biggest value? (a) -1\/6 (b) s (c) u (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(0 + 0 - 2*a) + 22*a + 18*a + 7*a.\nAnswer: 51*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -181\/5 - -35. Let s = 0.12327 + -0.32327. What is the closest to s in -3\/2, -5, 25, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, x: 7}. Give prob of sequence aax.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44122 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22770559?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzyttqtft. What is prob of sequence qt?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 18*s**2 + s - 1. Let b be q(1). Suppose -n - i + 2 = 2*n, -4*i = -n + b. Suppose -3*j = 4*x + n, x = 4*j + 3*x - 14. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14 (b) -0.5 (c) 2 (d) 5\/4 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 554 + -2760?\nAnswer: -2206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2. Let w(o) = -14*o - 4. Let g(y) = -57*y - 15. Let x(u) = -4*g(u) + 15*w(u). What is x(d(f))?\nAnswer: 54*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 429\/(-110) + 11 + -7 + 5\/10?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 792 is divided by 67.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 - 10.7. Let w = 12 + u. What is the third biggest value in 2\/11, 1, w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 21*u - 444. What is j(24)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 277*-42.\nAnswer: -11634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -17*z - 34. Let j be n(-2). Suppose j = 136*c - 126*c - 14690. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -47, -1, 1349.\nAnswer: -47, -5, -1, 1349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -3.92. Let i = 0.08 + s. Sort 2\/3, -0.2, i in decreasing order.\nAnswer: 2\/3, i, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21 + 3b?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322 = -6*a + 20*a. Let v(o) = -o + 37. Let s be v(0). Let x = s + a. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2 + sqrt(300) + -2)**2 - (sqrt(300) + 0 + 3)).\nAnswer: -90*sqrt(3) + 310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 90*j + 1. Let a(r) = 90*r + 1. What is -3*a(s) + 4*g(s)?\nAnswer: 90*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26518579 = 164*k + 26512511 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(38)\/(3*sqrt(20)\/sqrt(10)) - (sqrt(209)\/sqrt(44) + (sqrt(228)*2)\/sqrt(12)))**2.\nAnswer: 3211\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 951897 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 3*f. Let x be -1 - -12 - (f - -3). Calculate the highest common divisor of x and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 3. Let f(z) be the first derivative of z**4\/4 - z**2\/2 + 2*z - 1. Let l be f(-2). What is the remainder when b(l) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -17. Let u = 8.00072 - i. Round u to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 8 + 2 = 0, -4*b - 4*l + 28 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -42879 and -0.149167.\nAnswer: -42879.149167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2694 + 2715. Solve c - 26 = 5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 12571 = -9629. What is l rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 + 229*c - 23 + 90.\nAnswer: 229*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 14*v**2 + 14*v + 8. Let r be z(13). Suppose 23*y = r*y + 820. Is y a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 13 = 2*f - 2*v, 11 = -4*f + 565*v - 568*v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/41)\/r*r*r**13*r**(-20)*(r\/(r**(-11)*r*r*r))\/r assuming r is positive.\nAnswer: r**(43\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11112 (base 3) to base 8.\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*q - 3*p, -100*p - 4 = 4*q - 95*p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-40))\/((-5)\/2).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 59, -16, -244, -13 in decreasing order.\nAnswer: 59, -4, -13, -16, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -641, -460, 61, 1102, 2843, 5464?\nAnswer: 9145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 6*z**2 + z - 2. Let f be a(6). Suppose p = -f*s + 3*p + 14, -5*p = 2*s + 23. What is the nearest to s in 2, 3, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -2.72.\nAnswer: -2.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 470738489 to the nearest integer?\nAnswer: 21697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -r**6\/6 - r**5\/60 - 2*r**2. What is the tens digit of l(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5067 divided by -4?\nAnswer: -5067\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 7 - 7)*((-2*g**2 - 3*g**2 + 3*g**2)*(3 + g - 3) - 2*g**3 - 2*g + 2*g + 0*g**3 - 4*g**3 + 2*g**3).\nAnswer: 6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.84, 4, -2901, 0.2 in ascending order.\nAnswer: -2901, 0.2, 1.84, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**2 - 17 + 4*j**2 + j**2 - 2*j. What is the tens digit of a(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47 + 74 + 85)*(2 - 1 - 2)*(5*g - g - 3*g) to the form x + i*g and give i.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5893464105 from -0.19.\nAnswer: -5893464105.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 4. Let r(s) = -6*s**2 + 1. Let y be r(1). Let t be u(y). Let q = -147 - -145. Sort -5, q, t in decreasing order.\nAnswer: t, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*c + 78 = 0, -b + 5 + 1 = -4*c. Suppose -5*q = 2*r - b, 0*q = -4*q + 4*r + 20. Suppose k + 2*k + 3 = 0, 0 = q*i + k - 355. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 16, -0.5, 1.047, 4, -2\/15 in decreasing order.\nAnswer: 16, 4, 3, 1.047, -2\/15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence albb when four letters picked without replacement from llaalealabebalalal.\nAnswer: 49\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32361 by 3.\nAnswer: 10787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 + 123 + (29 - 62).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/10 and -23\/12930?\nAnswer: 12930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3232223 + 4?\nAnswer: 3232232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 2:32 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 5. Let t(k) = k**3 - 4*k**2 + 3*k - 3. Let l be t(3). Let x = -3 - l. Which is the closest to x? (a) 2\/7 (b) 2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 18*b**3 - 3*b - 6. Let l(a) = 17*a**3 - 3*a - 5. Give 5*d(g) - 6*l(g).\nAnswer: -12*g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -4024334?\nAnswer: 4024333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 139*n - 9. Let y be b(1). Suppose y = 4*a - 382. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (7 - 3) + (1 - 6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2294*m + 185. Let x(g) = -37*g + 3. Give 3*s(k) - 185*x(k).\nAnswer: -37*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -136805728 plus -1?\nAnswer: -136805729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*m**6 - m**2 - 3?\nAnswer: 4080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -154563 and -154567 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2688 and 3738?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3699061.98 to the nearest ten thousand.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -2. Let n(z) = -4*z**3 - 440*z**2 - 43*z - 4727. Let t be n(-110). Let x = -7 - -12. Solve u*b = t + x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 513 and 1458.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, a: 2}. Give prob of picking 1 f and 1 a.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 491 + 552. Let y be o\/35 - (-2)\/10. Let a = -5 + y. Calculate the remainder when 72 is divided by a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1991 - -3196. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**5 - 38*v**4 + 159*v**3 - 240*v**2 + 100*v = 0. What is v?\nAnswer: 0, 2\/3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 12:36 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3420 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 8:13 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 10*k**2 + 2*k + 1. Let t be w(-1). Suppose -14 + t = -q. Let m(i) = -i**3 + 5*i**2 + 5*i - 2. What are the prime factors of m(q)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 135\/962 - -1\/74. Which is the smallest value? (a) 0 (b) 0.5 (c) z (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -3377715417.\nAnswer: -3377715412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1958 + 21814. What are the prime factors of z?\nAnswer: 2, 3, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*v)*(11364 - 5683 - 5682 + 46*v**3 + 112*v).\nAnswer: 92*v**4 + 224*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 322899?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrhvhurhrhhsrhvhr. Give prob of picking 1 v, 1 s, and 2 r.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in -2\/13, -2\/7, -0.31?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, u: 10}. Give prob of picking 2 u.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 0.037, 5?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 r when three letters picked without replacement from wwurrwwwccwuuwrwwr?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8*(-1)\/(-2) + 6. Factor q + 3*q**o + 4*q + q + 0*q.\nAnswer: 3*q*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 97.27094us?\nAnswer: 0.09727094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13201087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - 2*w**2 + 2*w**2)*(-35*w**2 - 25*w**2 - 17 + 82*w**2 + (-1 + 0 + 3)*(-2*w**2 - w**2 + 5*w**2)).\nAnswer: 26*w**4 - 17*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2975*k + 4351*k - 869825 - 244384 = -117873 for k.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1031724?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307901390 = -12*v - 768701390. What is v rounded to the nearest 1000000?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61170065 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -182 and 1.079?\nAnswer: -196.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -64*f**3 + 53616*f**2 + 21087999*f + 1742251194 = 0.\nAnswer: -1233\/8, 1146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3953286 to the power of 1\/3, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**4 - 2544*m**3 + 352248*m**2 + 16979408*m + 47698980 = 0. What is m?\nAnswer: -35, -3, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -6*m - u - 3, 0 = 4*m + 4*u + 12. Which is bigger: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -125 and -0.3114 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**3\/5 - 619*r**2\/5 - 30317*r\/5 = 0.\nAnswer: -497\/2, -61, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 >= -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -6. Let r = p + -9. Let a = r - -4.04. Round a to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.15 - -6.85. Sort 1, -0.3, x in ascending order.\nAnswer: -0.3, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -4*l**3\/3 - l - 21. Let a(n) = n**2 - 4*n + 4. Let q be a(3). Let u = q - 2. Give x(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -436*y**2 + 119*y - 3454*y + 1207*y**2 + 2299*y**2 wrt y?\nAnswer: 6140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + 31. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46337 (base 10) to base 9.\nAnswer: -70505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1460 + 1465. Which is the nearest to -1? (a) -1\/3 (b) 3 (c) -0.14 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 5*b**2 - 8*b - 8. Let g be h(-6). Let q = -2 + g. Let n be ((-1)\/(-3))\/(1\/9). Is n != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 6 (c) -255\/26 (d) -4\/3 (e) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7994 and 1561?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -110652378*i + 73988343.\nAnswer: -110652378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**3 + 2*y**2 - 2*y + 2. Let j be a(2). Let b be (j\/9)\/(3\/18). Calculate the common denominator of 73\/8 and (-421)\/b - 5\/25.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -24 (b) -0.2 (c) -7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3 - 117*u**2 - 16*u + 212*u**2 + 17*u + 6 - 104*u**2. Determine l(2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 6 = 9. Let v = -43 - -46. Sort v, 6, s, 5 in increasing order.\nAnswer: s, v, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23592 is divided by 125?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/35364 and -41\/79569.\nAnswer: 318276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 4:59 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*f*g**3*q - 2689*f*g**2*q + f*g*q**2 + 21*f + 15127*g**3*q**2 - q**2 wrt g.\nAnswer: 102*f*q + 90762*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**4\/6 - 5*f**3\/3 - 12*f**2. Let p be t(-3). Is (-1)\/((-1)\/1561) + (-4)\/p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + 1*sqrt(180) + 5)**2 + 1.\nAnswer: 72*sqrt(5) + 218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 908*q**5\/5 + 551*q**4\/12 + 5221*q. What is the third derivative of m(u) wrt u?\nAnswer: 21792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**2 - 7*n + 8. Calculate i(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 9*t**2 + 13*t + 19. Is x(9) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15496036*m**2 + 14932459.\nAnswer: 30992072*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 7:03 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -7736 and -0.1107437255.\nAnswer: -7736.1107437255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(12\/9)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwowowokkkpdob. Give prob of picking 1 o, 1 p, and 1 d.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 3052.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3de + -5?\nAnswer: -3e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(20)\/(-6*sqrt(40)\/sqrt(4) - sqrt(10) - sqrt(10)) + 0.\nAnswer: -sqrt(2)\/8 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 1\/6*t**4 + 0 - 4*t - 1\/3*t**3 + 0*t**2. Let l be n(2). Solve -c - c = 2*f, -l*f + 40 = -4*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 + 16*o - 1760. Let n be m(26). Let a(c) = c. Let v(x) = -8*x + 7. Let y(i) = -14*a(i) - 2*v(i). Give y(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 z when three letters picked without replacement from {f: 12, k: 3, z: 2}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*x - 0*x + 13 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2188807 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 5*s + 22 + 29 = 11*s - 29, s = 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x. Let z(g) be the first derivative of -g**3\/3 - g**2 + 294*g - 3462. Determine z(h(v)).\nAnswer: -4*v**2 - 4*v + 294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -785 + 801 - 24*c - 1552*c**3 + 2*c - 10*c wrt c.\nAnswer: -9312*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/sqrt(640))\/sqrt(2).\nAnswer: sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*-43*(-3 - 51\/6). Let w(a) = 5*a - 501 + o - 497. Let t be w(5). What is the highest common divisor of t and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*l - d + 3*d - 483, 27*l = 55*l - 25*l + 3*d - 87 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 104, 186, 242, 260, 228, 134, -34, -288?\n\"Answer: -2*m**3 - m**2 + 99*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 0 + 1 + 18*j - 2. Let f be (-15)\/(-10)*(-4)\/(-6). Is n(f) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6836 divided by 6836?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 2\/5, 10, 5, -5, 1.3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 795 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 4138908.\nAnswer: 28972356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 - 33017*a - 1154370.\nAnswer: -(a + 35)*(a + 32982)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*h + 61*h = 0. Solve h*k - w = k - 2, -w + 2 = -5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/5821680 and -27\/50800.\nAnswer: 29108400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -38 - 4. Let t = -5 - a. Suppose 0 = -2*w - 5*c + 149 + t, 5*c + 465 = 5*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 31*q = 29*q - 3431, 5*q = -2*j + 1384. Calculate the remainder when j is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.17 - 0.23. What is the biggest value in 2, f, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -204*j + 677. Let c be p(-7). Let a(s) = c - 2105 - s. Let t = -3 + -1. Calculate a(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 431 divided by 2912816?\nAnswer: 431\/2912816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 390 + 386 = -5*t, 2*t - 5*t = 12*y + 111 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1778 - -53341\/30. Let d(r) be the third derivative of 2\/105*r**7 + 0*r - 4\/3*r**3 + 5\/6*r**4 + 3*r**2 - 1\/5*r**5 - x*r**6 + 0. Factor d(z).\nAnswer: 4*(z - 1)**3*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 553 + 1259 = 0. Let k = 152 - n. Which is the second biggest value? (a) k (b) -0.2 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4 + 317521*w**3 - 14286420*w**2.\nAnswer: -w**2*(w - 317476)*(w - 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z + 1 + 1 - 2 - 4. Let s(t) = t + 2. Let x be (-1)\/(-1)*2 + -11. Give x*s(p) - 4*j(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -9 - 1, -2*v = -2*h + 394. Let b = 194 + v. Solve o = b*f + 3*f - 10, -10 = -5*f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 840902 and 6?\nAnswer: 2522706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 6*o + 12. Let t be m(-7). Suppose -31 + 0 = -4*r - t*n, -7 = -4*r + 3*n. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*t - 3. Suppose -1612 = -4*r + 3*f + f, -t*f - 1617 = -4*r. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1846898462328 take away -101?\nAnswer: -1846898462227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (3 + 0) - -3) + -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -30*b + 113. Calculate n(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**2 - 343*j + 4*j**2 - 1701 + 343*j as y + k*j**2 + s*j and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k**2 + 11*k - 11*k)*(0 - 1 + 2) as m*k + v + q*k**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 628440 and 600?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzzzzjzzzzzjjuz. What is prob of picking 2 u and 1 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(-1)\/c)*c)\/c)**23*(c**(-2\/5))**(7\/5))\/((c**(-1\/2))**10\/((c\/(c**(6\/7)*c))\/c*c*c**(3\/4))) assuming c is positive.\nAnswer: c**(51333\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a factor of 385614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 99741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*z**2 - 13*z**2 - 16*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 6*r**2 - 5*r + 1. Let d be z(-7). Suppose -6*y + 42 = 18. Let o = y + 13. What is the greatest common factor of o and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence it when two letters picked without replacement from {i: 1, t: 2, p: 11}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3654*n = -3646*n + 32 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.03, -5, -1\/3135.\nAnswer: -5, -0.03, -1\/3135, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from armrulsl. What is prob of sequence mura?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 97416 and 52.\nAnswer: 1266408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1122 and 1216622.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 39 - 14 = 5*x, 3*x = -3*z + 99. Solve 5*c = 3*t - z + 1, 0 = 3*t - 2*c - 19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 115 + 208. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2046 - -2861.6. What is h rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-30)\/(-14) - 2). Let r be (7\/a)\/(2\/4). Suppose j = -3*j + 12. Solve d = -r*s + 4, j*s = -d + 5 + 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9158630.\nAnswer: 2, 5, 13, 70451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**4 + 4*f**4 + 3*f**4 + (12*f**3 + 62*f**2 - 62*f**2)*(-4*f - 2*f + 7*f).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000045649 rounded to 7 decimal places?\nAnswer: -0.0000456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8123182439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*(-4 + 5))\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217, -256, -295, -334, -373?\nAnswer: -412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195, -223, -283, -387, -547, -775?\nAnswer: -1083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41 - -103156?\nAnswer: 103230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 55 - 1200273*h**2 - 38*h**3 + 1200273*h**2 in the form m*h**3 + v*h**2 + k + d*h and give m.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(y*y**5*y)))\/y)\/((y*y**9)\/y)*((y*(y**(1\/8)*y)\/y)\/y)\/(y\/(y\/y**8)))**50 assuming y is positive.\nAnswer: y**(-2175\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 602 = -99*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3c8d3 - 1?\nAnswer: 3c8d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + 4\/2 - 186\/2. Are g and -81 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-22) - 31404\/66. Let v = t - -478. Let 0 + 4\/13*f - 2\/13*f**v - 2\/13*f**3 = 0. What is f?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -8*o - 2. Let s be 2\/3 - (-286)\/66. Suppose 0 = -3*a, -5*h + s*a = -4 - 36. Calculate the remainder when u(-3) is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -927734.06 to the nearest one hundred.\nAnswer: -927700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 68*h**2 - 64*h + 291. Calculate n(-69).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173772 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 965 divided by -412\nAnswer: -965\/412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*g**2 - 25*g**2 - 17*g**2 + 169 + 799 + 65*g**2 + 88*g = 0.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72211 - 72208.0107. Round r to 1 decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 u when four letters picked without replacement from zzzzzuhzzhuo.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 4\/12*0. What is the second derivative of 2*g**4 - 707*g - 4*g**2 + 716*g + 4*g**l wrt g?\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 509521155 and 23925?\nAnswer: 4785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(612)*-1 - sqrt(612))*-2 - (3 + sqrt(612)*1) - 3*(-3 + 1*sqrt(612) + 2))*3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 - 12*p**2 - 15*p + 12. Let q be a(7). Let v(b) = -12*b**2 - 5*b - 1. Let f(d) = -12*d**2 - 4*d - 1. Determine q*f(o) - 4*v(o).\nAnswer: -12*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 916206 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -48) + 5 + (-22 - (6 + -19)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (4*(-2 + (-2*sqrt(343) - sqrt(343))) + -2)**2 + 4)*3.\nAnswer: 5040*sqrt(7) + 148479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/15)\/((-1)\/15). Let h be (9 - 2) + 7 + (-24)\/3. Calculate the remainder when (140\/o)\/(h\/18) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3447 + -4839. Suppose -12497 + 41361 = -8*u. Let f = u + h. Round f to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*j + 7*j + 24 + 8*j wrt j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -3*r - 5*z, -3*r - 2*r - z - 1 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 6:38 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 3087.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*s + 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 23160 divided by -2\nAnswer: -11580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 9*b**2 - 10*b - 1. Suppose -175 = -34*s + 9*s. Give h(s).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m**3 - 2*m + 2. Let c(k) = k. Let z(o) = 2*o**2 - 4*o - 7. Let b be z(-5). Let w = b - 50. Suppose w*f = -2 - 11. What is f*j(i) - 2*c(i)?\nAnswer: 4*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4290775873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 3:35 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 6*i = -2*i + 20, 15 = -q - 3*i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y = 8*y + 363. Find the common denominator of 6\/y + (-871)\/(-18018) and -113\/70.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/n**(14\/9))*n))\/(n*n**(-19\/2)))**(1\/5) assuming n is positive.\nAnswer: n**(25\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736 is divided by 188?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.437 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.49 + -0.49. Let t = 100.24 + -100. Which is greater: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -69700?\nAnswer: 69699.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 14*g**2 + 1173*g + 15100. Calculate v(-13).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36 - 20104212?\nAnswer: -20104154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -1.9?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -21*v**3 - 107*v**2 + 126*v + 678. Determine c(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5940727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 44, 49, 54, 59?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j + 2*j + 0*j + (0 + 2 + 0)*(-4*j - 5*j + 3*j + (45 + 63 - 41)*(-3*j + 4*j + j)*(5 + 0 + 2)) as h*j + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j + 0*j + 3 + 3*j)*(4 - 3 + 2)*(-2*j + 7 + 794 + 71) to the form f*j + r*j**2 + l and give l.\nAnswer: 7848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -527, -19, 3, 2\/5?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 67.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -589*m + 110840 = 2205*m + 1198*m - 732*m for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 175052 and 428.\nAnswer: 175052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -7294831?\nAnswer: -7294831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v**3\/3 - 57*v**2 - 583*v\/3 + 20 = 0.\nAnswer: -3, 1\/10, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9581118ml?\nAnswer: 0.0009581118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 6 = 3*h, 37 = 3*h + h - 5*b. Suppose -h*y - 14 = -5*y. What is the lowest common multiple of 7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 - 6*f + 1. Determine m(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -90.4 + 90. Let c = -0.1 + 0. Let i = -0.1 - c. What is the third smallest value in i, -1\/5, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/148)\/(384\/1024)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3530 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 29. Let t be (-6)\/7*3*(-84)\/162. Let n = -0.4 - -0.4. Which is the closest to d? (a) n (b) t (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -3, 1.02 in descending order.\nAnswer: 1.02, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36511557 and 4623.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 907*w**3 - 455*w**3 - 451*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3555.\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 5*y**7\/42 + 3*y**3 + 8*y. Find the second derivative of s(h) wrt h.\nAnswer: 100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 128 + -350. Let c = -178 - w. Calculate the highest common divisor of 24 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 4, -1, 35 in ascending order.\nAnswer: -1, 4, 16, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 170480 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*t**4 + 25120*t**3 + 20084*t**2 + 4016*t = 0. Calculate t.\nAnswer: -1004, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 45 = -8*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 744 divided by -124.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6072 and 7788?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2. Let k(m) be the second derivative of -m**5\/30 - 5*m**2\/2 - m. Let s(y) be the first derivative of k(y). What is s(f(u))?\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -1\/6*s**6 + 0*s + 0*s**4 + 3\/2*s**2 + 1 + 0*s**5 + 0*s**3. What is the second derivative of k(g) wrt g?\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 335 and 6805.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*j)*(3 - 6 + 2 + 3 + 0 - 1 + 4 - 2 - 1 + (1 + 0 + 0)*(2 + 1 - 1)).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 33 - 615. Suppose -109 + g = -7*z. What is the remainder when 17 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z**2 + 1 + 3*z**2 + 0*z**2 + 0*z**2. Let l(m) = m**4 - 2*m**2 + 6. Let c(j) = 6*b(j) - l(j). Find the third derivative of c(x) wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.2541 rounded to two dps?\nAnswer: -4.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/293 - (-1130325)\/73176164?\nAnswer: 1\/116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.93654 - 0.06346. Let z = 7 + -7.8. Let q = 1.2 + z. What is the closest to x in 2, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 4)*(-630)\/225. Suppose -399*a + 392*a + w = 0. Factor 3\/7*n**a + 6\/7*n + 0.\nAnswer: 3*n*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135 divided by -5133900\nAnswer: -9\/342260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 29384, 29383, 29382, 29381?\n\"Answer: -d + 29385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 753 = -2*j, 2*j = o - 47 - 94. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -76041102?\nAnswer: -76041087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 - 6*l + 6. Let o(v) = 2 - 2*v + v**3 - 3 - 3*v + 6. Determine -5*n(f) + 6*o(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -1\/7217128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 30*l**2 + 46*l - 467. Let t be n(31). Let w(i) = -90*i**2 + 2. Let m(x) = 1980*x**2 - 45. Determine t*m(q) - 45*w(q).\nAnswer: 90*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + 7*f + 38. Let w be n(-6). What is the greatest common factor of 17 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-12))\/((-1)\/12). Let s(h) = h**2 + h. Let w = -66 + 97. Let q = w - 34. Let i(z) = z**2 + 2*z. Calculate a*s(f) + q*i(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47 or -171?\nAnswer: -171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -147 - -146. Suppose i - 5*n = 22 - 3, i + 3*n = 3. Let o = i + u. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*d - 16 = -36, 0 = 3*l + 5*d - 25. Solve 15*q + 60 = -l*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-52) + 2 + (-1425)\/(-39). Solve -174 = 68*n - i*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -5 - -2) + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 6:39 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -3*g + 20 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -247*u - 9. Let v(i) = -123*i - 3. Let c(n) = -2*t(n) + 5*v(n). What are the prime factors of c(-1)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17701 is divided by 1606?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 253248000 to the nearest one million.\nAnswer: 253000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1356669867?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69853184 is divided by 115?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.253 - -0.253. What is the second biggest value in f, -1, -65?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4056\/1859*11*4\/8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 495744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*m + 455 = 0, -1374 = -3*p + 3*m - 0*m. Let d be (-48)\/(-20)*(-21)\/(-84)*45. What is the highest common divisor of p and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -22633*w + 13. Determine l(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/4 - 12339*q**2\/4 + 50750307*q\/4 - 69578670897\/4.\nAnswer: (q - 4113)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k*m**3*u**3 - 13267*k*m**3*u + 10223*k*m**2*u**3 + 20*k*m*u**3 - 43*m**3 + 6*m**2*u**2 wrt m.\nAnswer: 6*k*u**3 - 79602*k*u - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13248\/7 - -43930\/21. Let h = w + -199. Suppose -1 + h*y**2 - 2\/3*y = 0. Calculate y.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, 0.05, -4\/5, -78.\nAnswer: -78, -9, -2, -4\/5, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/10*-5)\/((-2)\/(-3)). Let n = -0.7 - -2.7. Let v = n - -4. What is the nearest to 0.1 in -0.4, v, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1. Let k(o) = -6*o - 1. Let g be k(s). What is the second derivative of -5*v - g*v**4 + 3*v**4 + 2*v wrt v?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1443 = -15*y + 10398. Suppose 595*l - y*l + 154 = 0. Calculate the remainder when 78 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g + 4*g + 6*g + 0*g + g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 109398*q**3 + 612*q**2 - 5 wrt q?\nAnswer: 656388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 48538 - 48572 = 2*b, -2*q + 2*b + 10 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*m - 32*m + 1575. Let z = 77 - m. Solve -z*p = -5*p + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/1659 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-13) + 264\/312?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/34)\/((-20)\/(-85)))\/(-1*(-1)\/(-44))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*k + 388 = 0, -2*k = 3*x - 20 - 271. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.13 and -817\/1884 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 3*q + 3*a + 5, 4*a + 2 = 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2806)\/46)\/(-61)*9\/(-7)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/42 and 59\/66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 - 1193 - 821 + n + 36 + 3*n**2.\nAnswer: 2*n**2 + n - 1978","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1656\/(-6)*1\/2. Let v = -98 - j. Suppose 0 = 8*n - 7*n - v. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4 + 3*u - 1 + 2*u**3 - 4*u**2 - 2*u. Let h be g(4). Suppose -4*v - h = -5*o, -o - 27 = -3*o + v. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, a: 2, x: 1, c: 3}. Give prob of picking 1 x, 1 c, 1 a, and 1 m.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 597512582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75842608, -151685219, -227527830, -303370441, -379213052, -455055663?\nAnswer: -530898274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 7*o**2 - 4*o - 8. Let j be b(6). Suppose 2*w = 4*w - j. Suppose 3*d - w*t - 25 = -6*t, 2*d = -5*t + 12. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 3*sqrt(1088) - sqrt(1088))*4 + -5)**2.\nAnswer: -2688*sqrt(17) + 70073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 306007598?\nAnswer: 1224030392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 22792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5*s**2 - 111240*s - 618716880 = 0.\nAnswer: -11124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3\/9 + 17342*m**2 - 104050*m\/3 + 156074\/9 = 0. What is m?\nAnswer: 1, 78037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*c**2 - 4*c**2 + 4*c**2)*(-10*c + 6*c + 5*c + (9 - 9 + 11*c)*(3 - 4 - 1)).\nAnswer: -168*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.770161 to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 751425*l**3 + 6140755*l + 2?\nAnswer: 4508550*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*f = -2*n - 13, -5*n + 4*f = -30. Let i be 137\/n - (-4)\/(-8). Suppose 2*u - 5*a = 64, -7*a + 3*a = -2*u + i. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-5)*(-5 + 4\/(72\/102)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -8*b**3 - 3*b**2 + 7*b + 27. Give c(4).\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 d when three letters picked without replacement from vdwmvlmd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 336 + -334. Let x(j) = 3*j**2 - 2*j**g - 47 + 50 - 4*j**2 - 7*j. Let a(d) = 2*d**2 + 6*d - 2. Calculate -5*a(r) - 4*x(r).\nAnswer: 2*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -28781000 rounded to the nearest one hundred thousand?\nAnswer: -28800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, p: 5, j: 2}. What is prob of picking 1 j and 1 p?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-308 - 230*o - 212*o + 440*o)*(-3 + 5 - 6).\nAnswer: 8*o + 1232","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 10:49 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*c = 2 + 2, 6 = 3*g - 4*c. Let b be 3\/g + (-1)\/(-2). Suppose -2*u = -10, -2*o - 1 = b*o - u. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-5)*(-23 + 22)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*r - 12. What is the second derivative of r*w**5 - 2*w - w + 2*w wrt w?\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/36*5688\/(-1106).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14440 - 4432?\nAnswer: -24422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b + 55*b**2 + 24*b - 12*b + 6*b.\nAnswer: 55*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.056 in 0.2, -0.1, -0.023?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6201889805*j**2 + 1056570*j - 45.\nAnswer: -5*(35219*j - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 41 + -41 + 5 + (-1974)\/66 + (-3)\/33\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113 + -74. Suppose 4*b - 6 = -a - 0*a, 5*a = 3*b - f. Which is bigger: -7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1418 is divided by 542.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 92277074*g**2*p**3 + 3*g*p**3 - 9*g*p**2 + 22*g*p + 15*g + 3*p**3 wrt g.\nAnswer: 184554148*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(44)*-1)\/sqrt(2)*-3)\/((sqrt(72)\/sqrt(2))\/(-1*sqrt(242))).\nAnswer: 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -11, 1830?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 6*r - 1. Let g be c(-3). Suppose f + g = 5*f. Solve f*d + 9 = -7*i + 2*i, -2*i + 4*d + 6 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15475*i + 72 = 15476*i - 4*w, 4*w = 2*i + w - 54 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 divided by -101?\nAnswer: -52\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 3*y**2 - 3. Suppose 111*b - 44 = -4*t + 107*b, -2*t - 3*b = -27. Let v(n) = -n**3 - 4*n**2 - 4. What is t*x(g) - 5*v(g)?\nAnswer: -g**3 + 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4393.73 + -4376. Let s = t - -0.17. Let r = s + -18. Which is the second smallest value? (a) r (b) -8 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 1 + 3, l = 2*d + 6. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 0*p + 13\/30*p**5 + p**3 + 6*p**2 + 0 - 13\/12*p**4 - 1\/20*p**6. Solve x(l) = 0 for l.\nAnswer: 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1025 - 2049\/2. Factor -1\/2*g - i*g**2 + 0.\nAnswer: -g*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*h - 3408, 5*z + 846 - 6526 = -5*h. Calculate the least common multiple of 24 and h.\nAnswer: 3408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62683408 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1311, -1310, -1309, -1308, -1307, -1306?\nAnswer: -1305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -791142*n**3 + 9*n**2 - 148763566*n.\nAnswer: -4746852*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - b + 1 = 0, 26*d - 21*d - 4*b - 1 = 0. Solve -22*n = -27*n + d*p - 5, -4*p - 17 = 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 + 8089*n + 8141871. What is o(-1886)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -965*t**2 - 260*t - 72*t**2 + 260*t to y*t**2 + c + w*t and give y.\nAnswer: -1037","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 134794627 and 5.\nAnswer: 673973135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuufffuuuyvuuuuv.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*u = -2*u + 7*u - 84 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 15) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 120 = -4*g, -4*g - 5*a + a = -120. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 14678 = 5*t, 4*u + 5527 = 2*t - 349. Let x = t - 1683. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 6*v**4 + 3*v**4 + 6*v**2 + 5*v**2 + 2*v**4 as p + j*v**3 + o*v**2 + g*v**4 + n*v and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**5 + 795*j**3 + 2220*j**2 - 18180*j + 21216 = 0.\nAnswer: -13, -8, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/72*36\/52?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + -2*sqrt(30)*-3)\/(sqrt(150)*-2).\nAnswer: -7*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -61 (c) -699879\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -354.5 + 353.5. Which is the fourth biggest value? (a) 4 (b) 1\/2 (c) -62 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3650, -7172, -10708, -14264, -17846?\nAnswer: -21460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 11084*l - 11. Let d(i) = i. Give g(d(k)).\nAnswer: 11084*k - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -458634, -458613, -458572, -458511, -458430, -458329?\nAnswer: -458208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z - 12. Suppose -5*g - 1 = -16. Suppose g*x - 50 = -2*x. Let l be k(x). What is l rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5378 + 852*p**2 - 10755 + 5377 + (1 - p - 1)*(3*p - 4*p + 0*p).\nAnswer: 853*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o - 7. Let b be x(-5). Let y = -37 + 37. Let u be (-7)\/(-7)*(y - 4*-1). Solve 0*s = -u*s - b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/6 or -264\/133?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(810\/(-27))*(-6)\/(-3))\/4\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5\/6)\/r)\/(r*(r**(-4\/7)\/r)\/r*r*r*r)*(r**(1\/6))**(11\/5) assuming r is positive.\nAnswer: r**(-304\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -8*l + b - 60, 3*l = -5*b - 68. Let o be 1\/(1*(-4)\/l). Solve i - 5*i = -2*w - 14, -5*i = -o*w - 22 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 896778 - 22425171\/25. Let z = -229 - l. Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*i = -8, u - 17 = 3*i. Suppose 3*t - 3613056 - 1486934 = u*h, -4*t = 3*h - 6800006. What is t rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 522 (base 8) in base 11?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -1. Let k = 0.32 + 17.68. Let d = -13 + k. Which is the third biggest value? (a) 4 (b) d (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 0 - 4*f**2 + 3*f**2 + (-3851*f + 7686*f - 3873*f)*(f - f - f).\nAnswer: 37*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.2, -1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.9052 - 1.2052. Let f = 94 + -89.3. Let u = z - f. What is the nearest to -1 in -1\/4, -8, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29959 - 14803. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2068.945 - -2.\nAnswer: 2070.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4*u + 5*k + 662 = 0, -2*k = -4*u + 668. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 7 + 5*l**2 - 10*l - l**3 + 6*l**2. Is m(11) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*h + 25, -2*b + 1 = -3*b - 3*h. Suppose b*w - 91 + 81 = 0. Is 17 a factor of (-1 + (w - 348\/8))*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -520 by -188.\nAnswer: 130\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/20*-1)\/(1\/15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-8) + 1)*(-1 + 1). Suppose -3*c = -s*c - 9. Let j(x) = -x**3 + 5*x**2 - 5*x + 5. What is the units digit of j(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-5) - 5\/((-150)\/12). Solve -t*k - 16 = 2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -4. Let o = -28 - w. Is (-8)\/o - (-68)\/7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 3\/8 (c) -6\/5 (d) -5951 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/(j*j**7))*(j\/(j\/j**(-1\/8)))\/j*j*((j\/(j\/j**(1\/3)))\/j)\/((j\/j**4)\/j) assuming j is positive.\nAnswer: j**(269\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.05958 - 58272272\nAnswer: -58272272.05958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 5*r**2 + 4*r. Let s(y) = -6*y + 3*y**2 + 1 + y + 3*y**3 - 14*y**2 - 3*y. Let a(x) = 5*j(x) + 2*s(x). Determine a(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/1 - (-7 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 12 = -c, 3*o = 2*c - 0*c + 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57\/845 - -21243\/6760. Calculate the common denominator of g and 91\/2*6\/180.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, -41, -20, 26 in ascending order.\nAnswer: -65, -41, -20, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594 is divided by 64.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 430089 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 1:08 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13691.517674108 + -13335.5176744. Let a = 356 - f. What is a rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**6\/30 - 31*v**5\/10 + 660*v**2 - 1795*v. Differentiate i(b) with respect to b.\nAnswer: 4*b**3 - 186*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-2*r - 5*r - 16*r) - 2 + 2*r + 1 - 4*r - 2*r + 2*r - 3*r.\nAnswer: 18*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8691 - 4318. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2173, 838, 9017, 24950, 51223, 90422, 145133?\nAnswer: 217942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(275) + -1*(0 + sqrt(275)))**2 - ((3*sqrt(275) + sqrt(275))*6*1)**2.\nAnswer: -158403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-46823)\/(-257587) + -6*7\/231) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 1 - 82*-2. Let w be (-2 - a)*(-3)\/6. Suppose -5*i = -87 - w. Does 17 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 divided by -28.\nAnswer: -19\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4651160?\nAnswer: 2, 5, 116279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290 = 7*p + 248 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13950 is divided by 2640?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4277 (base 8) to base 14\nAnswer: -b5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 130, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 11:38 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(208) + 5)*-3 + (0 + sqrt(5200))*2).\nAnswer: -84*sqrt(13) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 8*z - 4 = 0, 25*z - 65 + 197 = -4*o + 4*z - 25*z for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 11:30 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 1 - ((-2 - 17) + 17).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75948 is divided by 2447?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-5 + -6*2\/(-4)). Let b be (-10)\/(-30) + ((-232)\/6)\/g. Let z = 57 + b. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*d = 199114, -3*b - 242*d + 597366 = -241*d. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -168 + 168. Suppose -9*y - y - 10*y = r. Factor y*x**2 + 0 - 1\/4*x**3 + 0*x**4 + 1\/8*x + 1\/8*x**5.\nAnswer: x*(x - 1)**2*(x + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u + 4*u - u**3 - 2*u**2 + 2*u**2 + 3*u**3 + (478 - 954 + 475)*(-4*u**3 + 3*u**3 + 0*u**3) to k*u + f + j*u**3 + n*u**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + 65. Suppose 0 = 4*l - 7 - j. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000543166 rounded to 7 decimal places?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -10*s**3 - 3*s**2\/2 - 5*s + 9. Let b be y(-2). Let m = b + 225. What are the prime factors of m?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 8. Let t = l - -3. Let r = t + 6. What is the third smallest value in 4, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**2. Let g(x) = x + 1. Let l(d) = -7*d - 6. Let w = -8 + 2. Let f(u) = w*g(u) - l(u). Determine f(p(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 37 = 4*x + 50, -8*v - 54 = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millimeter in micrometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 - -1. Let t = 14.9 + -15. Which is the closest to -1\/2? (a) t (b) 4\/9 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 7:29 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/(27\/216).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*x + 3452 = -130*x - 106*x - 17723 for x.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22432, -51170, -86216, -127570, -175232, -229202?\n\"Answer: -3154*q**2 - 19276*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 6*f**2 - f - 2. Let h be b(-6). Suppose i + 3*c = 139, -c = h*i + 3*c - 524. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/3, 0, -5, -21, -14\/109?\nAnswer: -14\/109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 3*n - 100. Calculate the lowest common multiple of n and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - 472*z**2 - 823*z**2.\nAnswer: -1294*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 486311624?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 9 = 4*w + 9, 2*f - 11 = 5*w. Sort -3, f, -6 in descending order.\nAnswer: f, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1554, -26, 15 in ascending order.\nAnswer: -1554, -26, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + (-6)\/9)\/((-12)\/(-45)). What is the second derivative of 11*w**2 - y*w**3 + 303189 + 17*w**2 - 249*w - 303189 wrt w?\nAnswer: -30*w + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 13*y + 4. Let r be q(-5). Let o = r + 54. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**2\/11 + 355284*c\/11 + 15778340082\/11 = 0 for c.\nAnswer: -88821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 343331 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -33, -43, -75, -141, -253?\n\"Answer: -2*d**3 + d**2 + d - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 4, -48, -20, -10, -2 in descending order.\nAnswer: 5, 4, 2, -2, -10, -20, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7*(38\/42 - 5\/15). Solve 2*j + 3 = -f + 2, 4 = -3*j - w*f for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/((-18)\/6001) - (-174)\/783. What is the highest common factor of p and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1643 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 23*j**2 + 39*j + 58. Let z be m(21). Let s(g) = -11*g**2 - g + 7. Let y(w) = -13*w**2 - 2*w + 7. Let a(n) = z*y(n) + 6*s(n). Give a(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 15 = 8*a, n - 4*a = 1112. Calculate the least common multiple of 14 and n.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.7 and 1?\nAnswer: -8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10736 and 528.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -2 (c) 3\/5 (d) -0.02 (e) -0.512 (f) 0.1 (g) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -1. Let l(a) = a - 3. Let g(m) = 3*c(m) - l(m). Let d be g(-3). Suppose d*r = j - 90, 5*j - 3*r - 370 = -4*r. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1375 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90 - 252. Let p = a + 1131\/7. Put 2\/7, p, 12, 3 in ascending order.\nAnswer: p, 2\/7, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -729*(-36)\/486*2\/3.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}