diff --git "a/data/dm_maths/full_data_2/11130_11255.jsonl" "b/data/dm_maths/full_data_2/11130_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11130_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let t(k) = -k + 115393. Let g be t(0). Let s = g + 71947. Let v = s + 332660. Round v to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(((-43)\/(-473))\/(1 + -2))\/1\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 968544 and 1775664?\nAnswer: 10653984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -226.81499 times -41?\nAnswer: 9299.41459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378*l**3 + 224880 + 2*l**2 - 224880.\nAnswer: -378*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 7*m + 7. Let r(w) be the second derivative of -w**5\/20 + w**4 + 11*w**3\/6 + 7*w**2\/2 + 3*w. Let s be r(13). Let l = 25 + s. Give j(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10322265 times -0.11?\nAnswer: 1135449.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 55*b**2 + 108*b + 79. What is d(-53)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 35774.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**4\/2 + 5*a**3\/2 + 25*a**2\/2 + 6*a. Is k(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20041, -38203, -56365, -74527, -92689?\nAnswer: -110851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 39*10\/(-30) - -22. Let x(y) be the second derivative of 3\/20*y**5 + 0 + y**4 - 32*y - 11\/2*y**3 + c*y**2. Let x(m) = 0. What is m?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -2)*((-64)\/(-24) + -4)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 47, 0.2, -2\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101010 (base 2) to base 7.\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 20 = 0, 12*t - 14 = 11*t - q. Suppose -19 = -t*x + 26. Solve -25 = x*y - 0*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207*c**3 - 11868*c**2 + 11869*c**2 + 203*c**3.\nAnswer: -4*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 13*g**6\/3 + g**3\/6 + 4*g**2 - 6*g + 3. What is the second derivative of s(k) wrt k?\nAnswer: 1560*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-210) - (12\/(-7) + 2)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1545 is divided by 245?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 7:51 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 618 = -4*g, 3*g + 2*o = o + 476. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 78773.1 litres?\nAnswer: 78773100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16151 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -25. Let f(i) = 10*i**2 - 5*i - 17. Let j be f(c). Is 3 + -1 + -2 + j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/20 (b) 1 (c) 85 (d) 0 (e) 0.017\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = 15*w - 436. What is the highest common divisor of 253 and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -3. Let u(p) = -2*p**2 + 27*p + 17. Let w be 1927\/141 - 2\/(-6). Let h be u(w). Solve -h*d = 6, -t*b + 10 + 6 = -2*d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 66*f - 791. Let x be a(50). What is the greatest common divisor of 2718 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.6 + 39.\nAnswer: 22.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -p - 9*p. Let h be (1 - 0)\/((-1)\/(-3)). Let i be p\/(-12) + h\/4. Solve -2*b + i*w - 2*w = 4, -3*b - w = 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 172 by -86.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111022012001122 (base 3) to base 12.\nAnswer: -244b452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -2*s**3 - s**2 - 1\/12*s**4 + 0 + 5*s. What is the units digit of u(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16101 and 17890.\nAnswer: 161010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 7:37 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 968 and 57530418.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(1008)*1))\/(6*(sqrt(384)*2 + sqrt(384) - sqrt(384)))*5*-4.\nAnswer: -5*sqrt(2)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-8) - (0 - 1). Let l = 208.0083 - 0.0083. Let m = -208 + l. Which is the second smallest value? (a) w (b) m (c) -4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 25*a - 17. Let u(z) = -12*z + 8. Let k(j) = 3*i(j) + 7*u(j). Let q(d) = 10*d - 6. Let r(x) = 6*k(x) + 5*q(x). Let g(y) = -11*y**2. Determine g(r(b)).\nAnswer: -176*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*v**3 + 98*v**3 - 135*v**3.\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 5:30 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5167.249 tonnes?\nAnswer: 5167249000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -443404231 (base 5) to base 6\nAnswer: -105250021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (5 - 2))*(215 - 232) + 104.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -620*q + 601*q = 76, m - 39 = 10*q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.977 times -5\nAnswer: -4.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -175170*i + 0 + 175312*i - 1 in the form t*i + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -618*p + 40 = -638*p. What is the closest to -1\/13 in -1\/8, p, 2\/9?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -1\/6, -1, -78, -58?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 700 and 568967.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/5 of a century?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 5657022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/126 and -97\/300384.\nAnswer: 300384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*o + 3 + 21 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.509 + 0.009. Let t = f - -10. Let n = 0.544 + t. Round n to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 100618720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 + h + 437. What is the hundreds digit of x(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*l**2 - 15*l**2 - 1 + 52*l**2 - l**4 + l**3 as v*l**2 + g + p*l**4 + q*l + a*l**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -209, -287, -365?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - r - 14, -4*r = -5*r - 5. Let v(h) = -h - 1. Let a(d) = -6. Let u(s) = -s + 18. Let l(t) = 7*a(t) + 2*u(t). Calculate b*v(n) - l(n).\nAnswer: -n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 3:25 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/250 and -55\/56?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 2*p - 9, 5*p = 5*y + 4 - 19 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*q**5 + 13*q**4 - 2*q**3 = 0.\nAnswer: 0, 2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3*m - 18. Suppose 3*a - 954 = -5*z, -a + 2*a + m*z - 314 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242270956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + -1 + 0 + 1. Suppose 29 = 3*v - 5*a, -3*a = -5*v + 32 + 11. Let q be (-4)\/(-34)*(v + -7). Is k at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + 10. Suppose -l + 46 = -s, 266 = 5*l + 52*s - 48*s. What is the greatest common factor of g and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/18 - 5\/(-2). What is the tens digit of l*(14 + 1 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 6)*(-328 - 397 + 652)*(0 + 3 - 1)*(2*z - 2*z - 2*z) as w*z + c and give w.\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*i + 35*i + 22*i to j + r*i and give r.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*g**4 + 54*g**3 + 31*g - 302 wrt g.\nAnswer: 612*g**2 + 324*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -25*r + 40. What are the prime factors of k(-9)?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004848182 to seven dps.\nAnswer: 0.0000485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1813683480 a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2138958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93850*n*p**3*r**3 - 112*n*p*r**5 + 5*n*p*r - 194*n*r + p**3*r**2 - 25*p**3 - 67*r**2 wrt r?\nAnswer: 563100*n*p**3 - 6720*n*p*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25252 divided by 206?\nAnswer: 12626\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25, 16, -43, -176, -407, -760, -1259?\n\"Answer: -4*l**3 - l**2 + 22*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42815 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s - 8. Let y be x(2). What is the nearest to 0.15 in -5, y, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 1\/60*f**6 - 1\/12*f**4 + 1\/6*f**3 - 1\/30*f**5 + 0 + 2*f**2 + 0*f. What is n(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-350369)\/(-4) - (2 - -4)\/(-15 - -7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 0*o**2 + 4 + 0*o**4 + 2\/3*o**3 + 0*o + 1\/6*o**6 + 0*o**5. Find the third derivative of i(p) wrt p.\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from {n: 4, p: 1, g: 2, f: 1, l: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8314803 years to centuries.\nAnswer: 0.008314803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5\/6 - -2\/3. Let r = 694.3 + -695. Which is the closest to 0? (a) k (b) 0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2231300 (base 5) to base 8.\nAnswer: 115227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 33.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 31*v**3 - 532*v**2 + 12*v - 2358. Let w(t) = 5*t**3 + 2*t**2 + 2*t - 1. Let i(r) = -m(r) + 6*w(r). Differentiate i(f) with respect to f.\nAnswer: -3*f**2 + 1088*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 16 (c) 0.1 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -821.\nAnswer: -821, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 21*f**3 - 3 + 3*f + 22*f**3 + 0*f**3 - 3*f**2. Let y be x(2). Suppose -2*o = o - 4*s - 193, -5*o - 2*s = -y. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.9705 and 0.8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 11*p - 8. Let x be y(10). Suppose x*z - 1 = 5*v - 2, -4*v + z + 2 = 0. Sort -5, -3, v in increasing order.\nAnswer: -5, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/97? (a) -3 (b) -3\/2 (c) 5 (d) -34 (e) -1 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - -0.7. Let i = -0.969 - 0.031. Which is the third biggest value? (a) w (b) 2\/23 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2\/9, -1, 2, -0.06, -2851?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 1. Let f be d(1). List the prime factors of (19 + 3)*1\/f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -11 + 68. Suppose d - a = -2*p, 2 = 5*d + 2*p - 53. Suppose -u = -4*u + 33. Calculate the lowest common multiple of u and d.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-32) + (-5166)\/1648. Let u = v - -1\/103. What is the common denominator of 1 + 370\/(-264) - (-202)\/(-1111) and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 7. Let h be 0*(9\/(-2))\/9. Solve h*m - u = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 28*y - 17. Let b = 35 - 40. Let m be l(b). What is m rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -20 + -11 - -2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - 1.3. Let l be (-99)\/66*10\/(-3). What is the second biggest value in s, -1\/2, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -98 (c) -2\/7 (d) 3.64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.364 rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2. Let w be (1 + 3)\/((-1)\/(-4)). Let j(z) = w*z**2 - 12*z**2 - 5*z**2. Determine m(j(s)).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 0*a + 0 - 1\/84*a**4 + 1\/420*a**6 - 2\/21*a**3 + a**2 + 1\/105*a**5. Determine p, given that r(p) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 7*w**2 - 8*w + 5. Suppose -108 = -5*k - 13*k. Calculate t(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19061 + 10627 = 6*i. Suppose 6*m - 1298 = i. What are the prime factors of m?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2212800 is divided by 4516.\nAnswer: 4476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1334.4 + 0.2488027?\nAnswer: -1334.1511973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**20*b)*b*b)\/(b\/(b**(11\/4)*b)))**(-14) assuming b is positive.\nAnswer: b**(427\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**5\/3 - 212*j**4 + 11624*j**3\/3 - 70840*j**2\/3 + 35868*j + 190708\/3 = 0?\nAnswer: -1, 7, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 57 = 5*v. Suppose -3*g + 0*g = -t + v, -g + 11 = -3*t. Let i(k) = k**3 + 5*k**2 + 4*k + 2. Determine i(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -8*z + 124. Let c be x(15). Solve -4 = -c*p + 3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**2. Let i(u) be the third derivative of -u**4\/6 + 5*u**2. What is h(i(w))?\nAnswer: 64*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 - 46*19\/(-38)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -182*c**3 + 3*c**2 + 4*c + 1. Calculate the remainder when z(-1) is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1873 - 44971\/24. Calculate the common denominator of n and (-4)\/3 - 57\/(-81)*2.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40548229?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -533292*j - 1078470.\nAnswer: -533292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 638 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + o - 4*o = 5, -22 = 2*x + 2*o for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 1:14 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -47. What is the highest common divisor of 72 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 3:06 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6325803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-4))\/(1\/2). Suppose -2*h + a*h + 4 = 0. Let u = h + 3. Put u, 2, -4 in decreasing order.\nAnswer: 2, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4100 + 3?\nAnswer: 4103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003693 rounded to 5 dps?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + -26?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -268933 >= -268933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 17. Let b be 6\/u*(-6)\/8. Put b, -1, 4 in increasing order.\nAnswer: -1, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36702, -36746, -36798, -36858?\nAnswer: -36926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1762*q**4 - 861*q**4 + 540*q**4)*(2 - 2 - q) - 2*q**3 - q**5 + 2*q**3.\nAnswer: 2082*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 72*l + 11. What is the remainder when y(3) is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880534.\nAnswer: 2, 79, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 238519774 to the nearest integer?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 8 = 2*x - 0*f, -x - 10 = 5*f. Let a = 8 - 5. Suppose x = r - a - 2, 215 = i - r. Round i to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14712517?\nAnswer: 19, 774343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/34854 and 23\/9?\nAnswer: 104562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 2*q. Suppose 12*n + 8863 - 8875 = 0. Calculate v(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 36*z**3 + 4*z**2 - 81*z - 7. Let w(d) = -19*d**3 - 2*d**2 + 40*d + 3. Let x(s) = -2*f(s) - 5*w(s). What is the second derivative of x(t) wrt t?\nAnswer: 138*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5010 and 26659045?\nAnswer: 159954270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + 3030352?\nAnswer: 3030402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.02413 millennia in decades?\nAnswer: 6102.413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (7 + -4)) + 9. Suppose -3*t - j = -232, 3*t - 3*j - 244 = -w*j. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 11:23 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*w + 20 = -155, 0 = 4*u + 2*w - 410. Let a(h) = h**3 + 17*h**2 + 27*h. What is the remainder when a(-12) is divided by u?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*x + 69*x + 3372. Let l = x + 7501. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6218*k**3 + 1 - 6257*k**3 + 0.\nAnswer: -39*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z**(-2)*z\/(z*z\/((z*z*z**(-7)*z*z*z*z)\/z*z))*((z*(z*(z**(1\/2)\/z)\/z*z)\/z*z)\/z*z)**(-14) assuming z is positive.\nAnswer: z**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.06, 2.1, 1726, 1\/4 in decreasing order.\nAnswer: 1726, 2.1, 1\/4, -0.06, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.49 + -0.51. Let k = -46 + 46.23. Let m = k - -10.77. What is the closest to m in 2\/5, g, 0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-54)\/36*(-8)\/(-3). Let v(f) = -f**3 + 2*f**2. Let p be v(2). Sort 3, m, p in decreasing order.\nAnswer: 3, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 47877060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*o**2 - 50*o**2 - 43*o**2)*(-6*o**2 - o**2 - 2*o**2) - o**4 + 0*o**4 + 2*o**4 - o**2 + o**2 - 2*o**4 + 2*o**4 - o**4 + o**4.\nAnswer: 379*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 578 and 84048?\nAnswer: 1428816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/6 of a century?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 10*i**2 - 2*i - 21. Let c be m(-10). Calculate the remainder when ((c - -3) + -3)\/((-10)\/1930) is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -2\/15, 1\/3 in ascending order.\nAnswer: -2\/15, 1\/3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 12:36 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 824613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*h + 8. Does 36 divide (2 - 260)\/(-2)*h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 837*r - 865*r - 70280 = 0. Is r at least as big as -2510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 8) to base 3\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4873*n**3*v**3 - 21015*n**3*v - 27*n**2*v**4 + 3*n**2 - 2*v wrt v.\nAnswer: -29238*n**3*v - 324*n**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15859356883 take away -0.03?\nAnswer: -15859356882.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/19)*b*b*b*b**(-1\/6))\/((b\/(b**(-2\/9)*b*b))\/(b**(-1\/7)\/b)) assuming b is positive.\nAnswer: b**(8555\/2394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -3*f - 16 - 26, 795*f - 13*s = 806*f - 230 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -5 (c) 219\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*((sqrt(153) - (sqrt(153) - 3*1*sqrt(153)))*-5 + -5))**2*-5.\nAnswer: -688820 - 7200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-2376) + ((-9)\/(-24))\/3\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-10))\/(2\/(-2))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -34 + -6246\nAnswer: -6280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -z + 16, 7*z + 26*k + 249 = 5*z - 32*k + 77 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430412 is divided by 3141?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19417*q**2 - 6078*q**5 + 19417*q**2 + (-2*q**2 + 2*q**2 + 2*q**2)*(-q + 2*q**3 + q).\nAnswer: -6074*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 311985761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 7. Let h be p(-5). Suppose -8 = h*v - d + 5*d, 2*v = -3*d - 5. Let x = 12 + -7. What is the remainder when x is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - 20. Let o = 162 - 184. Let g = o - r. What is the greatest common divisor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*i**3*q*x**3 - 2*i**3*q*x**2*y + 3*i**3*q*x*y + 3*i**3 - 2*i**2*x**2*y - 2*i*x**2 + q*x**3*y + 3*q*x**3 wrt x.\nAnswer: -24*i**3*q + 6*q*y + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-24)\/b**(-1\/20) assuming b is positive.\nAnswer: b**(-479\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.026 - -0.526. Let w be -3 - 3\/(-1) - 14\/28. What is the closest to 1 in a, -5, -1, w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*t = 4 - 15, -20 = -2*w + 3*t. Let l(v) = -2*v - 19. Let r(s) = s + 13 - 5 + 2. Let o(i) = w*r(i) + 4*l(i). Determine o(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.66? (a) 1 (b) -1.1 (c) -5 (d) 0.4 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13012399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/(-110)*8\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + -6*-1*sqrt(637) + -4*sqrt(637)*-1)**2 + (5 + (-5*(2 + sqrt(1573)))**2)*-3.\nAnswer: -41213 - 3300*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 12242 = 9493. What are the prime factors of 2\/7 - y\/(-49)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 11 + -10 + (-10 - -28) + 84.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 12 + -4 - 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 0*q**2 - 2 - q + 1\/24*q**4 + 1\/12*q**3. Let j(p) be the first derivative of a(p). Let j(g) = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 185*n**2 - 204*n - 812. Let q be d(-4). Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**7\/2520 - 43*n**4\/4 - 10*n**2. Let d(m) be the second derivative of i(m). Let p(z) = -2*z. Determine p(d(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**6\/20 + j**5\/60 - j**3\/6 - j**2. Let u be x(-1). Let h = u + 9. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416803204.\nAnswer: 2, 104200801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*c*d**3*l + 2*c*d**2*l + 4422*c*d**2 + 28*d**3*l + d**2 - d*l wrt d?\nAnswer: -30*c*l + 168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5770, 22663, 50826, 90265, 140986, 202995?\n\"Answer: i**3 + 5629*i**2 - i + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*a*i**3 + 2*a*i*r**2 - 9*i**3 + i**2*r**2 + i**2*r wrt a.\nAnswer: 10*i**3 + 2*i*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*u**4 + 523*u - 4010 wrt u.\nAnswer: 8*u**3 + 523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 0 - 4 - 13*i - 13*i**2 + i**3 + 2. Let v be a(15). What is the greatest common divisor of v and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*-1)\/(4\/(-16)). Suppose -3*r + 0*n + 2*n + 496 = 0, 2*r + m*n - 304 = 0. Calculate the greatest common divisor of r and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 5:12 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 10*g - 359. Calculate the remainder when 107 is divided by g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by 314768.\nAnswer: 31\/314768","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 32912 = 14*x. Let z = 3090 - x. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0 + 46922*y**3 - 46248*y**3 + 3.\nAnswer: 674*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260833 is divided by 8692?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1254615 or -1254617?\nAnswer: -1254617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 9 = l. Suppose 0 = -y + l + 9. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 9) in base 5?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4347, 17335, 38983, 69291, 108259?\nAnswer: 155887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*c + 369*c - 207*c.\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -100 + 145. Suppose 3*t + b = 2*m, 30 = 2*m + t + t. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31673, -127171, -286337, -509171, -795673, -1145843, -1559681?\nAnswer: -2037187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 - 5*b + 14. Let s be o(2). Solve -18*z - s = 96 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 2\/3, -4.2, -0.061?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4606.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/14 smaller than 319188\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 - 934705*v**2.\nAnswer: -5*v**2*(v + 186941)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 4*p = 12620. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -3 - (-5 - 0). Suppose -4*i = -t*i + 1. Let l = -451.3 + 451. Which is bigger: l or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**2 + 4*i + 5. Determine z(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 5. What is the third smallest value in -0.2, 1\/4, o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 3*j**2)*(-5 - 65 - 23)*(1 + 3 - 5 - j).\nAnswer: 279*j**3 + 279*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27493789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*-1*4)\/((sqrt(240)\/sqrt(4))\/sqrt(5)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*4\/24 - (-35)\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111110100011000000010 + -11011100?\nAnswer: 1111110100010100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -190897032 * 2\nAnswer: -381794064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 861, 778, 669, 522, 325?\n\"Answer: -2*f**3 - f**2 - 66*f + 930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/(-76) + 12\/(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1\/1500, 0.5, -8, 6 in decreasing order.\nAnswer: 9, 6, 0.5, -1\/1500, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70 - -74. Let i = 2162 + -2027.9. Let b = i + -134. What is the third smallest value in -2, b, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1883129?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4145423678?\nAnswer: 2, 11, 188428349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -47. Solve 11*x + 14*x**2 - 7*x**3 + 9*x**5 - 3*x**2 - 13*x - 11*x**k = 0.\nAnswer: -1, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4895136 by -109.\nAnswer: 4895136\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125.7257 rounded to the nearest ten?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2*0.9\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 106*c + 1217. Let p be n(19). What is the highest common divisor of 27 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -472403, -944804, -1417205, -1889606, -2362007, -2834408?\n\"Answer: -472401*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2088902?\nAnswer: 2, 1044451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5101 - 2157. Calculate the greatest common factor of 92 and p.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -203183.127 to the nearest ten.\nAnswer: -203180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.3 - -12.3. Suppose -4*t - 4 + 10 = o, -5*t + 3 = -o. Which is the closest to x? (a) t (b) -0.4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 12:47 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.5 - -13.3. Let l = b + -6.81. What is the biggest value in l, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -l - 2*p, p + 124 - 126 = l. Let a(c) = 4*c - 1. Let n(m) = 5*m - 1. Calculate l*n(f) - 4*a(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -16, 3, 1 in ascending order.\nAnswer: -16, -1\/3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -967\/11 + 88. Is -1 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2937 and 330?\nAnswer: 29370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 178 + -106. Suppose 0 = -2*y - y + a. What is the greatest common factor of 264 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 411, 1385, 3279, 6399, 11051, 17541, 26175?\nAnswer: 37259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -309226860 divided by 9?\nAnswer: -34358540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 59*b**3 + 18*b**2 - 38*b - 24. Let h = 859 - 862. Let v(c) = 30*c**3 + 9*c**2 - 18*c - 12. Let m(d) = h*s(d) + 5*v(d). Find l such that m(l) = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.035118, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 2*r**3\/21 - 4*r**2\/7 + 8*r\/7 + 1. Factor n(a).\nAnswer: 2*(a - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30936468 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011100011110111100 - -10?\nAnswer: -11011100011110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 6 - 8*n + 2*n - 2. What is the tens digit of p(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = -10*t - 20. Suppose 137 = t*p - 263. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 933 + -432. Let r = k + -505. Let q = 0.2 - 0.4. Which is the nearest to q? (a) -6\/5 (b) r (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w = -9*w - 46 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 10*v**2 + 9*v + 167. Let i be p(-9). Which is the third biggest value? (a) 4 (b) 1\/104 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -144, -211, -230, -201, -124, 1?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 928 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344054947.\nAnswer: 344054947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-9))\/((-2)\/(-9)). Let i be -1*((-46)\/14 - z). What is the second smallest value in i, 2\/3, -1\/8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.037316 take away -12?\nAnswer: 10.962684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 2:22 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -207, -225, -243, -261, -279, -297?\n\"Answer: -18*v - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c - 2*c + 2*c)*(-3 - 2 + 2) + (-25*c - 12*c + 11*c)*(-3 + 0 + 5) in the form s*c + w and give s.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3386*-2\nAnswer: 6772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 296057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 42, 82, 158, 282?\nAnswer: 466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i**4\/2 + 1069*i**3\/2 - 30663*i**2\/2 + 58115*i\/2 - 14261 = 0. Calculate i.\nAnswer: -1097, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 5*u**2 + 9 + u**2 - 19 + 404*u.\nAnswer: -4*u**2 + 404*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 9:19 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -m - 131, 0*q - 3*q + 3*m - 417 = 0. Let t = q - -407\/3. Let y = -4 - -5. Which is the nearest to t? (a) 0.2 (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*30\/125*(-10)\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -121 - 102?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3290542 and 76192.\nAnswer: 4762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1088)*-1)**2*-5 - (3*sqrt(1088) + 0 + 3)) + 0.\nAnswer: -24*sqrt(17) + 21757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44570969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1825318 (b) -1\/8 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3009 = -97*n + 86*n + 188*n for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*4\/24*-11. Which is the smallest value? (a) g (b) 6 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -212 != -24\/877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 26*q. Let u(c) = -2149*c**2. Calculate r(u(m)).\nAnswer: -55874*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 26. Solve f*j = -4*g + 18 - 2, -5*j + 20 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11c - 4?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5064243\/173 + 29273. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 310 and 4510810.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/22 - (-525)\/77. Let d(n) = -10*n**2 + u*n**2 - 51*n + 51*n. Let p(h) = 0*h**2 - h**2 + 0*h**2. Give p(d(b)).\nAnswer: -9*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*x = 34*x - 453 + 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 57, 95, 133, 171?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 13*l**2 - l - 165. Let s be m(-14). What is the highest common factor of s and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 201015571?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -1, 5, -3, 4, 36, -105 in descending order.\nAnswer: 36, 10, 5, 4, -1, -3, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -36\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5338 and 68374.\nAnswer: 10734718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*c - 140*c - 176*c)*(4*c**2 - 2*c**2 + c**2) in the form i*c**3 + a + b*c + w*c**2 and give i.\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6667952 and 982418.\nAnswer: 2402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*z - 242*z - 221*z - 232*z - 244*z + 1182*z.\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 3, 1988 in decreasing order.\nAnswer: 1988, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 j when four letters picked without replacement from fffjj.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) 1 (c) -3 (d) -4\/69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 3*h**2 - 4*h - 11. Let w(v) = -2*v**3 + 7*v**2 + 8*v + 21. Let d(g) = -5*t(g) - 3*w(g). Calculate d(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-1054)\/(-13175) - (-2)\/(-10)*1)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/6)\/((-1)\/2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 b, and 1 s when four letters picked without replacement from {b: 2, s: 3, j: 10}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**5 - 2*w**5 + w**5 + (5*w**2 + 23 + w**2 - 7*w**2)*(-2*w**3 + 0*w**3 + 4*w**3).\nAnswer: -5*w**5 + 46*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - 62\/(-22) - (-35)\/11. Suppose y*h - v = 57, -5*v + 19 = h - 16. Suppose c + c - 4 = 0. What is the least common multiple of c and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 26 = -0*z. Let w = 100 + z. What is the units digit of w\/12 - (-2)\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 4714671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2490\/(-8300)*2\/21.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-3))\/(-1) + 2. Let o(r) = 63*r**2 - 4*r + 16. Is o(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1206916 (base 10) in base 14?\nAnswer: -235ba4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -4. Suppose 0 = -3*i + 5*o + 47, v*i = i + 5*o + 29. What is the highest common factor of 27 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.01 (b) 4 (c) 0 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6864.864ml?\nAnswer: 6.864864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 512*a + 61571. Calculate o(-319).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 10. Suppose g*y - 18*y + 200000 = 0. What is y rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11058166 - 0.012.\nAnswer: 11058165.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 332, 335, 338?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -43094, -43171, -43248?\n\"Answer: -77*t - 43017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 8:41 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 674481 or 674462?\nAnswer: 674481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (21\/(-6) - -3)*-14. Let a be p + (8\/2)\/(-2). Suppose -w + b = -b + 2, a*w - 46 = -4*b. Calculate the least common multiple of 8 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 54, 70, 98, 138, 190?\n\"Answer: 6*j**2 - 2*j + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15938\/5282795 + -9\/5065. Let l = k + 67835\/8344. Find the common denominator of 2\/7 and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/31178 and 62\/357?\nAnswer: 93534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - 16. Let x = -23 + 31. Let z = k + x. Which is smaller: z or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-80 + 205 + 64)*(3 + 1 - 6) + 6 - 2 - 1)*(2*f + 0*f - 3*f)*(-1 - 4 + 3).\nAnswer: -750*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 775 and 20.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o + 193. Let d(h) = -h - 1. Determine 5*d(t) + x(t).\nAnswer: -t + 188","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2495*f**2 + 864*f**2 + 288*f**2 - 11415*f**2.\nAnswer: -12758*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242912745.\nAnswer: 3, 5, 17, 31, 10243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -5.101?\nAnswer: -9.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -6\/53, -5 in decreasing order.\nAnswer: 0.3, -6\/53, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) -5 (c) 203 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9845.27565 - 9845.954145489. Let b = 0.6785 + r. What is b rounded to 7 dps?\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174131.7 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -17223 (base 10) to base 8\nAnswer: -41507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -190 + 321. Suppose f = 5*v - 114. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62393 is divided by 8438.\nAnswer: 3327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331873 is divided by 6636.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 11:22 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-459)\/18*(-7)\/(-21)*-2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23469 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewwbebveebefvtevveb. Give prob of sequence ee.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 132.4 + -121. Round b to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76.7 - -77. Which is the third biggest value? (a) -0.4 (b) -0.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 45 = 10. Suppose o = 5*u + 4*l - 0, 3*l + 6 = 0. Solve 0 = u*b - 10 - 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.08 - -0.08. Let f = 14 + -17. Let t = -0.3 - -1.3. Sort f, l, t in increasing order.\nAnswer: l, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 5*g - 5 = -2*g, -4 = 4*g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -0.1 (b) 52 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from rjjjjrjrrjrr?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2356 + 723. Let h = -996 - r. List the prime factors of h.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + r**2 - r + 1. Let q(w) = -3*w**4 - 24*w**3 - 21*w**2 + 15*w - 15. Let g(b) = -q(b) - 15*z(b). Factor g(v).\nAnswer: 3*v**2*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 12 = -6. Let d(u) = u**3 - 9*u**2 + 2*u - 12. Let z be d(c). Put -4, -2\/3, z in ascending order.\nAnswer: -4, -2\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k + 243*b - 246*b - 824 = 0, -4*k + 168 = 4*b for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/19164 and -48\/20761.\nAnswer: 249132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 0*a**3 + 0*a - 4*a**2 + 0 - 1\/40*a**6 + 1\/20*a**5 - 1\/70*a**7 + 1\/8*a**4. Factor n(k).\nAnswer: -3*k*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a kilometer in meters?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -20 + 4. Let h be k*(-108)\/16 - -5. Solve p + 3*p - 2*x + 14 = 0, -h = 4*p + 4*x for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 13986*o - 83876. Let d be j(-6). What is r in -4\/9*r**d + 0 + 0*r + 16\/9*r**2 + 8\/9*r**3 - 2\/9*r**5 = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*sqrt(5)*-5 + sqrt(125) + 0 + (0 + sqrt(125))**2.\nAnswer: 15*sqrt(5) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7931758274 + -2?\nAnswer: 7931758272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 1)*-2*2. Let s = -6 - o. List the prime factors of (-55)\/(-3) + s\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 o when four letters picked without replacement from llwoollolow?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -62411, -62414, -62417, -62420?\n\"Answer: -3*b - 62408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-4))\/4*(-4)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-8)*-41578 - -2. Let k be -2 + (q\/18)\/(-13). Let z = -415\/6 + k. Find the common denominator of 3\/64 and z.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1639*c**4 - 1170*c**2 + 1.\nAnswer: -39336*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*v - 4 = -2*v, -5*v + 10 = -3*b. Let u be b\/(3\/(-1)) + -13. Let g be u\/(-20) + (-6)\/15. Which is bigger: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d**2. Let z(g) = 418*g**2. What is u(z(l))?\nAnswer: 698896*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6927 - -0.3927. Let i = -9.8 - -10. What is the third smallest value in i, -22, a, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 79*c + 23. Let d(r) = 224*r + 65. Let z(y) = -6*d(y) + 17*w(y). Suppose 18 = 4*p - p. Let q(v) = 2*v**2 - 5*v + 7. Give p*z(s) - q(s).\nAnswer: -2*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -8973 - 204*t**2 + 8973 + 4*t - 4*t as j*t**2 + l*t + v and give j.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b = -17*b. Let h be (1 - 1)\/(3\/3). Solve h = -r - b + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 + 160. What is p rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + t = 3*t + 6, -8*t - 28 = -4*a - 32 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Expand (10*q**2 + 34*q**2 + 7*q**2)*(-3*q**2 + q**2 + 0*q**2) - 7*q + 7*q + 2*q**4.\nAnswer: -100*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 - (-1)\/1*0. Let i(a) = -43*a + 106. Let g(h) = -330*h + 782. Let r(z) = 3*g(z) - 22*i(z). Let j(u) = -15*u + 5. Determine v*r(p) + 17*j(p).\nAnswer: 9*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 7. Let m be n(7). Suppose -4*l + 3*a - 8 = 10, m = -4*l - 3*a - 30. Let s = 7 + l. Which is greater: s or -8\/15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/7 + (-63)\/21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnm when three letters picked without replacement from gjggmngjnnmg?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 4*b**2 - 6*b. Let y be k(4). Suppose 770*a - 833*a = -189. Sort 5, y, a, -3.\nAnswer: y, -3, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 7:37 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -738, -2849, -6376, -11325, -17702, -25513, -34764, -45461?\nAnswer: -57610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8430846 and -7.6?\nAnswer: 8430838.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 10)*(3*v**2 + 0*v**2 - 5*v**2) + (0*v - 4*v + 0*v)*(2*v - 5*v + 2*v).\nAnswer: 28*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1312136 and -2.2.\nAnswer: 1312133.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {o: 3, v: 9}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 0 - 16. Is (42\/15)\/(c\/(-10)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30287826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, j: 4, u: 1}. Give prob of sequence ju.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -7) + (-1 - 27). Let r be (-4)\/2 - t\/16. Sort r, 1\/5, -5 in decreasing order.\nAnswer: 1\/5, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - t - 5. Let j be y(-5). Let f be 10\/4*20\/j. Suppose -170 = -2*x + p - 0*p, -f*p = x - 95. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-52)\/(-156))\/(1\/2019). Let c = 679 - j. Solve 2*v - 4*i - 8 = v, 3*i = 3*v - c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -40*y**2 + 48*y + 169. Let n(v) = -8*v + 2. What is 6*n(w) + p(w)?\nAnswer: -40*w**2 + 181","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0 - 4. Let n = 6 + b. What is the units digit of (n*5)\/((-8)\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-2 + (-4 - -2) - -3) - 18\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10013 - 2201?\nAnswer: -12220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j. Suppose 5*h + 0 = 10. Let x(l) = l**2 + l + 1. Let w(m) = 2*m**2 + 3*m + 3. Let f(v) = h*w(v) - 6*x(v). Determine f(z(s)).\nAnswer: -50*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**5\/5 + 2*k**2 + 514. Let m(g) = -8*g. Determine m(f(n)).\nAnswer: 96*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -36.4 * -4.66559\nAnswer: 169.827476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3168 = 23*s - 31*s. Calculate the highest common factor of 88 and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q - 16. Let b be d(4). Suppose 2*p + 7*v - 114 = 3*v, -p + v + 69 = b. Calculate the remainder when p is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000012200312809 to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2161 + -1379. Let z = w - 495. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-4)*1\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9\/70682 = 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((0\/(-8))\/(-4))\/(0 + 3). Let t be 14\/40 + 1\/(-4). Is v < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8\/15, 51, -0.4, 2\/11, 0.\nAnswer: -5, -8\/15, -0.4, 0, 2\/11, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 236864*c**5 - 13*c - 8062?\nAnswer: 4737280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -745 + 804 = 59*d. Solve -4*x + 2*g = g - 19, 3*g + d = -2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 13*p**6 - 17*p**2. Let q(g) = g**6 + g**2. Let t(k) = 2*q(k) - u(k). What is the third derivative of t(z) wrt z?\nAnswer: -1320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -14. Suppose q*y - 2*y = 616. Suppose 3*t - y = t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -21 + (134 + -95 - 36)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tewewweeewwtwwtte. Give prob of sequence twe.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/8)\/(7\/6)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107827, -107814, -107799, -107782, -107763?\nAnswer: -107742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 3 - -7) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/13, -2, 646, 0?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-16\/7)\/(l*l**(-16)))\/((l\/(l*l**17\/l))\/l*l*l*l**(4\/9)*l) assuming l is positive.\nAnswer: l**(1655\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 41598024 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (15 + -8 - -10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 4, 1\/10 in descending order.\nAnswer: 4, 1\/10, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*c**4 + 37*c - 77*c + 32*c wrt c.\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y = -2*m - 13*y + 11, -4*y = -20 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -520*t**2 - 6*t + 15. Let n(h) = 1040*h**2 + 13*h - 34. What is -4*n(o) - 9*y(o)?\nAnswer: 520*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 5:23 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1466 and 10?\nAnswer: 7330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 152.540007121 + -152.54. Round o to 7 decimal places.\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 847193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 - -11.6. Let j = -11.1 + l. Let z be (-2)\/(-10) - (-5 + 6). Sort j, 0, z in descending order.\nAnswer: 0, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + v - 17 = 0, -p + 5*p + 3*v = -29 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 5*x + 6*x - 2 = -9, -4*v - 520 = -56*x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 73 - 464. Let z = 828 + n. Does 35 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*l - 74*l - 13 = g - 0, 3*l + 11 = -g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 287085527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5 = 5*r, -r - d = 4*r - 17. Suppose 0 = r*a - 2*a - 8. Find l such that a*l**2 - 3*l**2 - 3*l**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9415 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j = -26*j - 11. Suppose -j*x = x. Solve 8 = 8*u - x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -463*g**2 - 165*g - 307*g**2 - 415*g wrt g.\nAnswer: -1540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2490 - -2487. What is the biggest value in -1, l, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 2*i**7\/105 + i**6\/20 - i**5\/15 + 3*i**2. Factor f(s).\nAnswer: 2*s**2*(s + 2)*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -4. Find the first derivative of -15*o**3 + 3*o**q + 14 - 24 - 10 wrt o.\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -46, -112, -176, -238, -298, -356, -412?\n\"Answer: q**2 - 69*q + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2*y + 7, -4*a + 34 = -a + 5*y. Is ((-2)\/a)\/(4\/(-5802)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -1186*u**3 - 2*u - 1. Is p(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -282380, -282184, -281976, -281750, -281500?\nAnswer: -281220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from orzzzrorz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l. Let z(y) = 2*y - 4. What is 2*s(c) + z(c)?\nAnswer: 6*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -174719 divided by 4012?\nAnswer: -174719\/4012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10475 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: Four letters picked without replacement from {p: 5, m: 3}. Give prob of sequence mppm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (794 - 1977 - 1759)*(-5 + 2*o + 5)*(5 + 4 - 5) to the form f*o + d and give f.\nAnswer: -23536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.8 - -0.8. Let h be ((-6)\/135)\/(1\/(-5)). What is the third smallest value in 1\/4, h, u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirteen fifths of a meter?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + v + 10. Let y be 3\/12 - (-3)\/(-12). What is the units digit of n(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9257*10\/4*(21 - 23) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/18 + (-6)\/(-4). Let z(u) = 1675*u**2 + u - 2. Let h be z(p). What is h rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30168 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4358883*r**4 + 908111287*r**2.\nAnswer: -104613192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-36))\/(-3*(-7)\/12)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.11, -0.5, 0.1, -3\/5362, -0.013, 5, -5?\nAnswer: -3\/5362","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g - 15. Let a(l) = l - 1. Let t(q) = 2*a(q) - j(q). Let c be t(6). What is the first derivative of -10*f**2 - 1 - 7 + c - 6 wrt f?\nAnswer: -20*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*y - 31*y + 2*b = -8, -3*b = -5*y + 12. Sort 4, -3, y, -2 in decreasing order.\nAnswer: 4, y, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248909 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 highest common factor of 88 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21d8a5 (base 15) to base 5.\nAnswer: 403141310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-21) + 14\/6)*(-2)\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*g**5 + 25*g**4 - 15916*g**3 + 185229*g**2 + 51*g wrt g?\nAnswer: 420*g**2 + 600*g - 95496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -36, 2\/11, 2, -0.36?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5\/24, 0.3, 2, -44\/3, -5\/4, -15?\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, f: 5, n: 9, d: 2, p: 2}. Give prob of sequence qp.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 9:18 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 4*g + 42, -92*o + 3*g - 30 = -95*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) + 22\/8. Let x(f) be the first derivative of f**2 - 4. What is the units digit of x(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1972.1ml in litres?\nAnswer: 1.9721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3269422 and -68.\nAnswer: 222320696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206, -430, -666, -920, -1198, -1506?\nAnswer: -1850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p. Let f(v) = -2*v. Let y(q) = 4*f(q) - 3*s(q). Let j(m) be the third derivative of m**4\/6 + 3*m**2. Give y(j(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13371586*r**2 + 29725141*r.\nAnswer: 26743172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38851, 78590, 119215, 160726, 203123, 246406, 290575?\nAnswer: 335630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - 31. Suppose 2*l = -43 + 329. Calculate the highest common factor of g and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3\/9 + 2376*m**2 - 21506560*m\/3 + 37984870400\/9 = 0. Calculate m.\nAnswer: 772, 4960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2534968804?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*b - 4*k - 52 = 0, -5*k = -b + 23. Is b smaller than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-170 - 191 + 217 + 2*j)*(-3*j**2 + 4*j**2 - 2*j**2) as m + o*j + i*j**2 + t*j**3 and give i.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 84 = -5*r. Let c be ((27\/r)\/3)\/(2\/(-8)). Let w = -11.8 + 8.8. What is the closest to w in c, 2\/7, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4135.453079 to one dp.\nAnswer: 4135.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-12))\/(4\/(-18))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 614 and 989199491.92.\nAnswer: 989200105.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62 - -2) + 35 + 2 + 345 + -386.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(637) - (sqrt(637) - 1*sqrt(637)))**2 - sqrt(117)\/(sqrt(9)*-2)).\nAnswer: sqrt(13)\/2 + 641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51 - -10?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -199, -207, -229, -271, -339, -439, -577, -759?\n\"Answer: -o**3 - o**2 + 2*o - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9cc9 (base 16) in base 15?\nAnswer: bd5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12168.9 + 2\nAnswer: -12166.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10320*t = -12584*t - 3046*t + 6297*t + 294795 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -288.9447.\nAnswer: 288.9447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6581 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.412715 + -1056.3411?\nAnswer: -1069.753815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*t + 9 - 2 - 7 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -10*c**2 - 5*c + 5. Let f(j) = -15*j**2 - 8*j + 8. Let a(u) = 5*f(u) - 8*s(u). Let n(y) = -y**2. Determine a(n(k)).\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 13. What is the nearest to 0.1 in -0.2, -0.5, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 8, 25, 50, 83, 124, 173?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*l**3 - 8*l + 8*l - 82*l**3 - 98*l**3 + 194*l**3.\nAnswer: -31*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 + 9*h - 14. Calculate m(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 860.06 decades to centuries.\nAnswer: 86.006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyk. What is prob of picking 1 k and 1 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/5 + 126*m**2\/5 + 756*m\/5 - 1944.\nAnswer: 3*(m - 6)*(m + 18)*(m + 30)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -44880 divided by -22?\nAnswer: 2040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p - 13*p + 23*p + 3*p.\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((26 + -40 + -15)\/(2\/6))\/(12\/(-8)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 5*g + 36. Let l be u(-8). Let z = 73 + l. Solve -m = z*b + 30, 2*b + 16 - 1 = -m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(1\/3))**(-1\/88))**(-2\/97)*y**(-2)\/y*y**6*y*y**(2\/5)\/(y*y**(1\/5)*y) assuming y is positive.\nAnswer: y**(35216\/16005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 18 = 5*z, 4*z + 3*i - 17 = 2. What is the highest common divisor of 2 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -12. Let r = -533\/45 - -112\/9. Which is the second biggest value? (a) r (b) 5\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q**2 - q + 2*q**2 + 1 + 3*q**3 - q**2 - 4*q**3. Let l be k(-2). Let d(u) = -6*u**3 - u**2 - u - 1. Determine d(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*i**5 + i**4 + 1291072*i**3 + 62884664*i**2.\nAnswer: -300*i**2 + 24*i + 7746432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/12 - (-95)\/(-10))\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k + 0 + 1 + k**2 - 2. Let l be 27\/(-4) - (-2)\/(-8). What are the prime factors of a(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llggbbglllbbbtgl. Give prob of picking 2 b.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 + z + 5. Let x(u) = 31*u**2 - 1 - 15*u**2 - 17*u**2. Let i be ((-3)\/4)\/((-1)\/4). Suppose -k - 4 = i*k. What is k*j(r) - 4*x(r)?\nAnswer: r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 161043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34385*j**3*y**2 + 55*j**2*y**2 + j**2 + 14*j*y**2 + 2*j*y - j - 2*y**2 - 7856*y + 4 wrt j.\nAnswer: 206310*j*y**2 + 110*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -402*l - 33750. Determine m(-84).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 + -32?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -49*o + 1434 + 3580. What is the highest common factor of o and 5450?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 9*b**2 - 15*b - 62. Let r be p(-8). Which is smaller: 4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -24. Suppose k = 3*h + 6. What is the remainder when 4 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 69466.\nAnswer: 694660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-5)\/1)*0)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.35 + -2.65. Let j be -2*28\/(-80)*-1. What is the third biggest value in 3, j, 0.3, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/3 - (-5)\/(-3 - (-11328)\/3774).\nAnswer: 2, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j = p - 3, 0 = -5*j + 2*p - 10. Let r be ((-2)\/5)\/((-1748)\/(-665) - (-3)\/(-7)). What is the third biggest value in 2, r, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(105\/(-18))*-5. Let f(c) = 4*c**2 + 12*c + 1. Let l(y) = -y**2 - y - 1. Let u(g) = t*l(g) - f(g). Is u(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9894212?\nAnswer: 2, 19, 211, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -8*r. Let o(a) = a - 1. Let l(s) = -7*s**2 - 6*s + 6. Let n(w) = -l(w) - 6*o(w). What is n(m(g))?\nAnswer: 448*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 1:49 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -14, -1, -5 in increasing order.\nAnswer: -14, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -16. Let o = l + 12. Let u = o + 17. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1713\/(((-12)\/8)\/(6\/(-12))). Suppose 2*j - 3*f = r, 0 = -4*j + 8*j + 4*f - 1112. List the prime factors of j.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 35 = 5*h, -2*h - 4 = 5*x - 21. Calculate the remainder when 35 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -1067930\nAnswer: -427172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2205 - 2210. Which is the nearest to 0.2? (a) -4 (b) 0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*m - 2*m = 8, 20 = 5*m. Suppose r = o + 2. Suppose -2 = u - 3. Solve -4 = g - 3*t - u, -r*g + 2 = 2*t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -860.8 + 241756.\nAnswer: 240895.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 0.2. Let o = 42 + -41.79. Let b = -2.21 + o. Sort -1\/3, b, d in ascending order.\nAnswer: b, -1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 10*r + 210 = 0. Suppose 31*u = r*u + 28. Calculate the remainder when 53 is divided by u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8284 + 8305. Solve 4*k + 44 = -4*a, -23*k = -v*k - 3*a + 2 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1219663.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 6*m + 6. Calculate d(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-416)\/(-14) + 2\/7. Let q be ((-4)\/(-5))\/(3\/u). Suppose 3*o = q*o - 39000000. What is o rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c**3 + c**2 + 6*c + 7. Let u(f) = -11*f**3 + 3*f**2 + 13*f + 12. Let p(y) = 6*u(y) - 13*x(y). Let t be p(4). Sort 62, -1, t, 4.\nAnswer: t, -1, 4, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 17552 = c, 4*c - 111*m - 70181 = -114*m. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8498244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3369 divided by 3.\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205449, 205596, 205743, 205890, 206037?\nAnswer: 206184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2517, 4854, 7193, 9534, 11877, 14222, 16569?\nAnswer: 18918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -354*l + 0 + 115*l + 118*l + 0 + 114*l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 59583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20 + 18)*148\/8. Let u(g) = 3*g**2 + 86*g + 127. Does 22 divide u(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**5 + 96*x**4 - 864*x**3 + 3456*x**2 - 5184*x = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b**3*i*s - 297*b**3*s**2 - 2*b**3*s + 232*b**2*i - 66*b**2*s**2 + 2*b**2*s + 2*i*s**2 - i + s**2 + 2*s wrt s.\nAnswer: -594*b**3 - 132*b**2 + 4*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-8\/9)\/(r\/(r*r*r\/((r*r*r*r\/((r**(-1\/9)\/r)\/r)*r)\/r))*r))\/(r**13\/r**(-7\/5)) assuming r is positive.\nAnswer: r**(-102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 163328443 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 518, -878, -3204, -6460, -10646, -15762?\nAnswer: -21808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 - 45605 - 3*m**3 + 45605.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 8*c + 14. Let b be i(5). Suppose -3*f + f - 4 = 0. Let x be (-13)\/15 + f\/(-10). Which is smaller: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*y - 12*y + 18*y**2 - 13*y)*(-1 + 1 + 1).\nAnswer: 18*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 3*g - 6*g - 11, -g = 3*c - 22. Solve c = -a + 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, y: 2, t: 7}. Give prob of picking 2 t.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*j - 12 = -3*h, 5*h + 4*j - 15 = 0. Suppose h*d = 3 - 0. Put d, 4, -2\/11 in descending order.\nAnswer: 4, d, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.5 and -8.6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 18*y**2 - 21*y - 100. Determine m(-17).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - -10) + 24 + (-1 - 28) - 6.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p - 11*p - 99 - 73 - p.\nAnswer: -2*p - 172","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/9521, -4, 1, 7, 362?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 - 1935*n**3 - 150*n**2 - 2*n + 1933*n**3 + 2*n as l*n**2 + m*n**3 + z + b*n and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w - w - 6*w + 6 + w + 6*w to the form j*w + k and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (34\/5 - 7) + 348\/(-10). Round w to the nearest integer.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 2*f**2 + 2*f + 1. Let c(m) = -m + 7. Let r be c(9). Let i be v(r). What is the closest to 1 in -1, 0.4, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 139, 265, 375, 469?\n\"Answer: -8*k**2 + 150*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 74 = -4*w, -5*w + d = -d - 76. What is the lowest common multiple of w and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + -4 + (-6)\/27*-3. Which is the closest to m? (a) 0.2 (b) -1\/3 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 2*b - 2. Let i be (-1 + 1)\/(b + 1). Is i != -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25104 and 43409.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -224*w - 24. Let l(k) = -671*k - 68. Calculate -6*l(o) + 17*t(o).\nAnswer: 218*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 (base 5) in base 6?\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 737913 and 9.\nAnswer: 2213739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 2)*(-89 + 48 + 43 + 3*v).\nAnswer: -12*v - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 288 by -48.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/3))**2)**(9\/10) assuming g is positive.\nAnswer: g**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27852342.\nAnswer: 2, 3, 7, 37, 17923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, y: 3, t: 1, k: 3, d: 2, v: 3}. Give prob of picking 2 v.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220 + -212210?\nAnswer: -220200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 v when two letters picked without replacement from {v: 2, a: 1, u: 1, k: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 4)*(3*w**2 + 0 + 0).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*c + 199 + 1223 = 0 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 7336 = 4*l - 21366, -4*l + 14045 = 5*c. Suppose 0 = -n - 4*n + l. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 7508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1227885113 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**3 + 3. Let m(t) = 24*t**3 + t**2 + 15. Determine -2*m(j) + 11*w(j).\nAnswer: -4*j**3 - 2*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 244.\nAnswer: 6832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/79 and (-452)\/40 + (-24)\/(-40).\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**4 - 1553*w**3 + 30*w - 4*w**2 + 9*w**2 + 1533*w**3 = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 - 420*o**2 + 8820*o.\nAnswer: 5*o*(o - 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1153.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -19475*r - 311595. Calculate d(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 418632.6mg to nanograms.\nAnswer: 418632600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 78?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/5 - 843\/(-15). Let j = a - -111. What are the prime factors of j?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3362 bigger than 1\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/7 of a week in minutes?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7984, 7993, 7978, 7927, 7828?\nAnswer: 7669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1452.066 - 1457. Let p = f - 0.066. What is the fourth smallest value in p, -1, -3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 76 = -k - 5*i, -56 = 4*i + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m. Let k be l(-1). Suppose 4*y + y = -5, 4*o - 4*y = k. Suppose 0 = -i - o*i - 1, -2*w - 3*i - 3 = 0. Are -1 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 7:24 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-278)\/(-417)*(-171)\/6.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 3 = 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*g**4 + 40*g**3 - 394*g**2 + 152*g - 15 = 0. Calculate g.\nAnswer: -5, 1\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gsgg when four letters picked without replacement from gssssggsgsgsgggsgsg?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 - 4406130*o**2 + 1617668758944*o + 119731617345408.\nAnswer: 3*(o - 734392)**2*(o + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*g + 740 = 996*g + 5816 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 + 9*d**2 - 4*d - 5. Let x(v) = 62*v + 15 - 7*v - 26*v**2 - 7*v - 36*v - 5*v**3. Let l(r) = -8*f(r) - 3*x(r). Determine l(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.4 (b) 1 (c) 15 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*s + 13*s - 34. Let r = 17 - s. Solve q + 3*n = 12, r = -5*q + 3*q - 4*n + 14 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -89, 2\/11, 18\/11 in descending order.\nAnswer: 18\/11, 2\/11, -1\/3, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 39*p - 62 - 39*p**2 + 2.\nAnswer: -39*p**2 + 39*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/56 - 121\/440?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x - x + 2*x + (-4*x + 4*x + 2*x)*(-3 + 2 + 2) + 4*x - 2*x - 4*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*t + 22 = 0. Suppose 22*q - 21*q = t. Solve 5*w + 9 = c - q, -2*w = -4*c + 26 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 10:18 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 i, and 1 k when three letters picked without replacement from {k: 2, f: 2, y: 1, i: 1, o: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 3:47 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-76965)\/(-70))\/(0 + 1\/(-2)). Let n be i\/(-21) + 0 + 6\/21. Does 106 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/2)\/(v*v*(v\/(v**14\/v*v))\/v*v)*v**(-6)*v*v**1*v assuming v is positive.\nAnswer: v**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0483 + -0.15?\nAnswer: -0.1017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76*w**6 + 68*w**6 + 120*w**2 + 70*w**6 + 72*w**6 - 281*w**6 + 3*w**4 wrt w?\nAnswer: 600*w**3 + 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19726 - 19725.894. Let u = -0.056 - -0.05. Let t = u + w. Put -34, 5\/4, t, 0.4 in descending order.\nAnswer: 5\/4, 0.4, t, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -38.2? (a) 14 (b) 3 (c) 4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/(-6) - (-2)\/6. Suppose -2*n - 220 = -5*b - 5*n, -3*n + 173 = t*b. Calculate the greatest common divisor of b and 611.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**3 - 4*i**2 + i - 1. Let k be r(-4). Suppose -d = -k - 14. Suppose 13 = -5*x + d. Solve 0 = 2*z - 5*n - 6, n - x = -5*z + z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15035476 and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -14. Let s(z) = -7*z + 6. Is 14 a factor of s(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 534686646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*l + 30*l + 329 - 116 = -212 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 1912 = -2*s - 1854, 2*s + 3*g + 38 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*t, -71*t + 67*t + 688 = 4*v. Solve 0 = v*y - 161*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x\/((x\/(x**(7\/2)\/x)*x*x)\/x))\/x*x*x**(-2\/107))**(-3\/5) assuming x is positive.\nAnswer: x**(-447\/214)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13 and 49421125.\nAnswer: 49421125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-7)\/(-3))\/(20\/(-36))*-5. What is the greatest common factor of k and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 3\/348491881 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -8*t**3 + 3*t + 7. Let o(g) = -9*g**3 + 4*g + 8. Let y(n) = 4*l(n) - 3*o(n). What is the first derivative of y(h) wrt h?\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 137225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t + 2 - 2*t**2 - 2 + (2 - 2*t - 2)*(-46*t - 44*t - 17*t).\nAnswer: 212*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 88973695?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -370, -1191, -2786, -5413, -9330, -14795, -22066?\nAnswer: -31401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*x - x. Let c = 4 + -1. Suppose -3*m - c = -15. Solve w = m*j - 9*j, 0 = 3*w - x*j + 19 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h. Let a(w) = w**2 - 1. Let g be a(-2). Let o(u) be the second derivative of 0*u**2 + 0 - 1\/3*u**g + u. Determine o(t(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 613525.0119?\nAnswer: 613524.7119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20363*t + 2 - 2 - 17399*t.\nAnswer: -37762*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 1:49 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 26. Suppose w*f - 216 = -0*f. Let z be (-1 - f\/(-10)) + (-18)\/45. Solve 4*s = -0*j - 5*j + 28, 20 = z*j + 2*s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 916181.2 tonnes in kilograms?\nAnswer: 916181200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2*0.7\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -884 or -3537\/4?\nAnswer: -3537\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9795602 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1175, 3002, 5483, 8618, 12407, 16850?\n\"Answer: 327*x**2 + 846*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-2\/75)*v**(-6\/13))\/((((v**(-2\/5)\/v)\/v)\/v)\/(((v\/(v**8*v))\/v)\/v)) assuming v is positive.\nAnswer: v**(-5884\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 278 by 299980.\nAnswer: 139\/149990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 0 + 2*b**2 + 7\/3*b**3 + 0*b + 1\/60*b**5 + 5\/24*b**4. Let k be g(-5). What is the greatest common factor of 126 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -49*t**2\/2 - 125. Let m(a) = -4*a**2. What is c(m(z))?\nAnswer: 196*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w**3 + 5*w**2 + 5*w + 3. Suppose 4*u + 12 = 2*f, 15 = -2*u + 3*u - 5*f. Let m(i) = 8*i**3 - 6*i**2 - 6*i - 4. What is u*m(k) - 6*h(k)?\nAnswer: 2*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.78181 to 1 decimal place.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(4\/7))\/v*v*v)**25 assuming v is positive.\nAnswer: v**(450\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -22*u**3\/3 + 1846*u**2\/3 + 2038*u\/3 + 170\/3 = 0.\nAnswer: -1, -1\/11, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18*(-15*14\/280)\/((-6)\/4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 12:49 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**4\/12 - 2*z**3 + 157*z**2\/2 - 241*z. Let i be g(13). Calculate the highest common divisor of i and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3468472 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 63766595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1955 is divided by 178.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 8:38 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/3 - 534*a**3 + 66616*a**2\/3.\nAnswer: 2*a**2*(a - 757)*(a - 44)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/20 and 41\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 206.51892 months in years?\nAnswer: 17.20991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203 = 30*u - 23 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*f**2*s**2 + 26*f**2*s + 1638*f**2 + 9*f*s**2 with respect to s.\nAnswer: 12*f**2*s + 26*f**2 + 18*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k**(17\/3)*k*(k*((k\/k**16)\/k)\/k*k)\/k*k assuming k is positive.\nAnswer: k**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4860\/(-168) + (-8544)\/448 + 19.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 6*q**2 - 5*q - 1. Let j be (2 - (1 + -3))\/1. Is y(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*w - y - 3, 5*w + 5 = -5*y. Let s = 84.03 + -84. Let h = s + 0.07. Which is bigger: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694579860.\nAnswer: 2, 3, 5, 13, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 35\/(-14)*(-4)\/(-5). Let i(d) = -d. Let u be i(g). Is 2 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6810 - -6810. Let y(g) = -8*g + 5. Let s(a) = -23*a + 16. Let n(d) = 6*s(d) - 17*y(d). What are the prime factors of n(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 53 + 7. Let m = z - 12. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324728 is divided by 324119.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 400\/(-450) - 40\/(-45)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 2 = 12*m. Let y be (-1 + -1)\/(m + -2). Solve 0 = 4*f - y*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26379 by -2931.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.158 - -0.168. Let z = 0.31 - o. Let d = -13 + 25. Which is the third smallest value? (a) d (b) -2\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (10 - 1)) + -24 + (-42 - -19).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - n = 26, 8*m - 21 = 3*m - 4*n. Solve m*y - 6 = 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9604*t**4\/5 - 30061304*t**3\/5 - 72359440*t**2 - 29384224*t\/5 - 598656\/5 = 0. What is t?\nAnswer: -3118, -12, -2\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-112))\/((-3)\/36)*144\/27.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*w - 18 = 0, -2*n + 3*w = -1 - 11. Let q(b) = b**3 + 7*b**2 + 5*b - 1. Let v be q(-6). Solve 4*m + v = n*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20886, 20845, 20802, 20757?\nAnswer: 20710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) -2 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + z - 230*s = -231*s + 13 - 6, -11*z + 107 = -4*s for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4761 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.9*2076045.\nAnswer: -12248665.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(32))\/(sqrt(8)*5).\nAnswer: sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgncenp. What is prob of sequence necp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n**4\/19 - 11744*n**3\/19 - 23398*n**2\/19 + 58680*n\/19 + 70344\/19 = 0. Calculate n.\nAnswer: -5862\/5, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2\/5 - 326304*r\/5 - 26618575104\/5 = 0. What is r?\nAnswer: -163152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111452191?\nAnswer: 29, 3843179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b3 - -1115a?\nAnswer: 11097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2118213?\nAnswer: 3, 37, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -2617.75208?\nAnswer: 5235.50416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**4 + 5*f**3 + 6*f**2 + 8*f - 31. Let b(t) = -6*t**3 - 7*t**2 - 10*t + 30. Let v(i) = 4*b(i) + 5*j(i). What is the third derivative of v(y) wrt y?\nAnswer: 120*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 536601930.6 to the nearest one hundred thousand.\nAnswer: 536600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x + 43. Give h(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35141.337 nanoseconds to weeks.\nAnswer: 0.0000000000581040625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203010 (base 5) to base 6.\nAnswer: -50410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25678, -25677, -25676, -25675, -25674?\nAnswer: -25673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**2 + 177*a + 136. Calculate u(45).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 1\/5*l**3 + 6\/5 + 11\/5*l + 6\/5*l**2 = 0?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.5, -1, 2\/9, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w - 4*w**2 - 7*w**2 - 2*w + 10*w**2 - 5. Let t be i(-5). Suppose -t*d + 7*d - 10 = 0. Solve 2*f - d - 5 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 15*y + 3*w - 46 = 0, -4*y - 5*w + 50 = 0. Suppose y*k - 62 = 2998. What is the highest common factor of 408 and k?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*z**4 - 153*z - 4*z**2 + z**3 + 152*z - 7*z**4 + 1 in the form f*z**2 + o + c*z**3 + h*z**4 + v*z and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -5*u - 3. Let h be 2 + u\/(-1) + 1. Let p = 53\/2 + h. Which is the nearest to -1\/3? (a) 1\/4 (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-25)\/(-5) - 13)\/(-2). What is the first derivative of -557 + 11*f**2 + v*f**2 + 555 wrt f?\nAnswer: 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*688\/(-1161)*-2*(-102)\/(-16)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c + 25*c - 144. Let s(m) = -m - 2. Let r be s(-6). Suppose 5*j - 11 = r. Solve 4 = j*z - c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + -9. Let s be 4 - 1\/(1 - (-3 - -3)). Let x(k) = -2*k**2 - 2 + 0*k - 3*k**2 + s*k + 7*k**2. Let c(f) = -10*f**2 - 16*f + 10. What is o*x(g) - 3*c(g)?\nAnswer: -2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 0*g**4 + 0*g - g**2 - 1\/60*g**5 + 1\/6*g**3 + 0. Let s(h) = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 424*l. Let a(q) = 85*q. Let m(i) = -5*a(i) + x(i). Let y(p) = 7*p + 16. Calculate -6*m(w) - y(w).\nAnswer: -w - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48\/9 + (-4)\/(-6). List the prime factors of -1 + 2\/(p\/27).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zbbzbzbgbrbzpz. What is prob of sequence gpbz?\nAnswer: 5\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 + -72 + (63 - 20) + -14?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 298 + -268. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*(-3*-2*sqrt(147)*-6 + (-5 + -1*sqrt(147) - (sqrt(147) + -1 + -2))**2).\nAnswer: -589 + 196*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 2:55 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40584 (base 11) to base 14.\nAnswer: 1784d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + 110000100111000001?\nAnswer: 110000100110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -66939, -133878, -200817?\n\"Answer: -66939*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (8 - 9) - (8 - -5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1328 divide 136528546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 123167 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35.8 - -75.7. Let j = b - -0.1. Let t = j - 39.9999829. Round t to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46813*b*q*t - 15617*b*t + t with respect to q.\nAnswer: -46813*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6))**(5\/2)*a*a*(a*a\/a**9)\/a*a*a*a**18 assuming a is positive.\nAnswer: 1\/a","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 757360 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*(r*r**(-2\/9))\/r))\/r**(-6)*r*r**(3\/5)*r*r**(-2\/5)\/r)**(-1\/17) assuming r is positive.\nAnswer: r**(-334\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**6\/15 + h**5\/12 - 9*h**2. Find the third derivative of l(j) wrt j.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20.1 - 20.2. Let s = -369.16 + 368. Which is bigger: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -237*s - 2450. Determine d(-7).\nAnswer: -791","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11346*d**2 + 5672*d**2 + 5672*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8738239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 204573 + -100090. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*d + 175*d = 17*l + 47, 0 = -d - 66 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 + 7*h**2 + 7*h + 7. Let q(m) = -m**3 + 3*m**2 + 3*m + 3. Suppose -3*n = -0*n - 93. Let s = -17 + n. Give s*q(k) - 6*x(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21567 + 21575 + 6*d + 1080*d**3 - 64716 + 21574 to the form f*d**2 + i*d**3 + c*d + b and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 905 + -517. Let i = g - 211. Let a = 176.999921 - i. What is a rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 5*x + 3*a, -3*x + 8 = -5*a - 54. Let j be (-22)\/(-4) + (-2)\/4. Suppose -5*t + x + 101 = 4*o, -o = j. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3421, -13722, -30877, -54880, -85725?\n\"Answer: v**3 - 3433*v**2 - 9*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - (51 + 6 - 34).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 253 and 24891428?\nAnswer: 273805708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/29? (a) -4 (b) -20 (c) -0.3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 0*q + 82. Let d be q - (-2 + -1 + 4). Calculate the highest common divisor of d and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 2096 = -5*d. Let c = -521 + d. Solve c*f + 4 = 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 16*v = 2*c, v = c - 2140 + 2128 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.345885136 rounded to 2 decimal places?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 57\/2296 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, k: 3, r: 1, p: 1, m: 1}. What is prob of sequence prim?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzaztabzddzdzdzdz. What is prob of picking 3 d?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 18 + 7 = -5*u, -5*t - 2 = u. Do 3 and u have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**5\/60 + 5*p**4\/24 + 5*p**3\/3 + 16*p**2. Let k be y(-3). Let s(m) = m**2 - 5*m + 6. What is s(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2 = -5*h. Let j = 2 + -6. Let w(t) = t - 3. Let x(m) = 2*m - 4. Let u(g) = j*w(g) + 3*x(g). Let o(y) = y. Determine h*o(z) - u(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = w - 40 - 17, 102 = 4*u - 2*w. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5373, -7294, -9215, -11136, -13057, -14978?\nAnswer: -16899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*u**2 - 6*u**2 + 29*u**2.\nAnswer: -19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 n when four letters picked without replacement from {g: 3, l: 4, x: 1, n: 12}?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2456*g**2 - 2 + 2880*g**2 + 4051*g**2 + 2 to c + q*g + w*g**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*z**3 - 3*z**3 + 81798*z**5 - 81542*z**5 + 227*z wrt z.\nAnswer: 5120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 55599?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 52*s**2 + 2. Let l be y(2). Suppose 0 = -4*x - 183 + 683. Let d = l - x. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 368.\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1778 is divided by 763?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 76 = -74. Let d be (-18)\/(-405)*42 + (-2)\/(-15). What is the greatest common divisor of d and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*p - 272 = -70*p. Calculate the lowest common multiple of 2*(2 - 3)*-5 and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-94)\/12 - -8 - (-97)\/(-6). Let w(h) = h**3 + 15*h**2 - 14*h + 46. Let g be w(n). What is the greatest common factor of 854 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 4:55 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f + 14. Let i be u(0). Suppose -21 = -5*w + i. Let l(d) = -d**2 + 6*d + 5. Give l(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*-4)\/(44\/(-611369)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*2\/5*(-910)\/(-273).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1333268 and 689?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 5. Let c = -183 + 303. Suppose -5*x - c = -k*x. Is x a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105.54910395 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(2 + 6\/(-2)). Let o(d) = 9*d**2 + 13*d - 17. Let y(w) = 5*w**2 + 7*w - 9. Let k(x) = -4*o(x) + 7*y(x). Let r(a) = -1. What is n*k(i) - 5*r(i)?\nAnswer: i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j + 21. Give u(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1221 + 1311?\nAnswer: 3132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = l - 4*x, 3*x + 6 = -49*l + 46*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 334213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from bbjjjvvjvv.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 14190*g**2. Let c(k) = 5*k. Give c(d(w)).\nAnswer: 70950*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-14) - 284\/(-14). Suppose i = -6*z + 2*z + 21, 5*z = 5*i + l. Suppose -i = -c + 2. Which is bigger: c or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -27. Suppose -k = -0*k - 5*v + 7, -3*k + 74 = s*v. Suppose -4*j + 6*f - 3*f = -88, 2*j + 5*f - k = 0. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 9. Let t be ((-1)\/(-4))\/((-2)\/p). Which is the smallest value? (a) t (b) -1\/7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1652)\/21 + 4\/6. Let q = 223 + w. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 + 81. Suppose 82*v = 100*v - 702. What is the greatest common factor of h and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6, 19, 40, 69?\n\"Answer: 4*s**2 + s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -1, -13, 181 in ascending order.\nAnswer: -13, -3, -1, 0, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -53, -40, -11, 40, 119?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -3 (b) 0.5 (c) -1500 (d) -2\/7 (e) 3\/4 (f) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or 1684021?\nAnswer: 1684021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5 * 188.55.\nAnswer: 282.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r + 35. What are the prime factors of l(19)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-2)\/(54\/(-9)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohoodddhdd. Give prob of sequence doh.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -3 - 7) + 10 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135)*-3)\/sqrt(3)*-4)\/((sqrt(2592)*1)\/sqrt(2)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**8)**(-32\/3)\/(r**(-9\/8)*r)**(-1\/41) assuming r is positive.\nAnswer: r**(-83971\/984)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 10:53 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4 + 17*m**2 - 2 + 4*m - 7. Let q = 846 - 854. Is h(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s + 9. Let u be k(-9). Let o = 3 + u. What is the third derivative of b**2 + 2*b**5 - o*b**5 - 2*b**2 wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -8. Suppose o*l - 9 = 55. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b (base 14) to base 9.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -8*p + 114. Let m be 4\/14 - 18\/14. Let i = m + 3. Solve 2*q - 2*j = -4, -5*q + p + i = 5*j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 377*t + 1. Let u be q(2). Let c = u - 755. Determine f, given that 0*f + c - 1\/3*f**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1397 = z, 2*z + 76 = -5*o + 3566. Let b = -46 + 50. Suppose -b*v + o = 8*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 378*m - 3 + 159*m - 21*m + 3 in the form c*m + u and give c.\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k**3 - 9*k**2 + 23*k - 1. Let y be s(5). Let l = y + -395. Calculate the greatest common divisor of l and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + -1*sqrt(78)*-1)\/(sqrt(294)*-1 - sqrt(294)) - 3*(sqrt(156)*1)\/sqrt(12)*1)**2.\nAnswer: 6292\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + k = 15, -4*k - 9 = -k. Let r be (2\/(-4))\/((-14)\/336). Is ((-117)\/r)\/(m\/(-16)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.513 times -722.1?\nAnswer: 1092.5373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*r = -4209 - 1927 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - 20 - (2 + -13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2174 = 12*y + 75*y + 784 for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/2*34\/(-51).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -495*s + 8116 - 53716 = 416*s - 455*s for s.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u - 4 = 0. Suppose 0 = -4*w - u*y + 296, -4*y - 400 = -5*w - 3*y. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**3\/6 + 187*i**2\/3 + 22790*i\/3 + 303372 = 0.\nAnswer: -162, -106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 6\/11, 1, 0.03?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-18)*(-3)\/(4*-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 15 = -c, -5*c = -4*c + 5*l - 23. Suppose -k + 8 = -0*k + 2*q, 13 = 2*k + 3*q. Suppose d = -k*d + 3. Solve c*g = d + 14 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rm when two letters picked without replacement from {a: 3, m: 3, p: 2, q: 1, r: 1, d: 9}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g + 5*i + 21 = 0, 3*g - 3*i = 27. Let a = g + 2. Round a to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = w + 5*x - 3 - 2 - 5, w - 3 = -28*x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 smaller than 40700\/247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -150, 0, -42 in decreasing order.\nAnswer: 2, 0, -42, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 170 = 4*i, -2*i = 2*h - i - 106. Calculate the highest common divisor of h and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-44 + 0)*1 + (-229 - -228). Which is the fifth smallest value? (a) u (b) -0.06 (c) 5 (d) -0.2 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-1 - -4 - 4). Factor 30*p - 24 + 4*p**2 + 3*p**2 + t*p + 2*p**2.\nAnswer: 3*(p + 4)*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 7*i + 1. Let x(p) = 8*p**2 - 21*p - 26. Let l(s) = s**2 - s - 2. Let k(r) = -18*l(r) + 2*x(r). Let n be k(-11). Determine q(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j**(-3\/13)*j*j)\/j)\/j)\/j)\/(j*j*j**(-4)))**(-33\/5) assuming j is positive.\nAnswer: j**(-66\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 415\/154 - 21\/11. Let c = -41\/70 + r. Let g(i) = -i**2 + 9*i + 55. Let k be g(13). What is the third biggest value in c, 0.6, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27\/5 - (-2)\/(-5). Suppose 15 + p = 2*x. Let l(u) = u**3 - 10*u**2 + u - 10. Let i be l(x). Solve -v + 6*v - 10 = i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 6:14 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -4, -1, 6?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -0.05 (c) 13\/187 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -824843 and -824376 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - m + 1. Let c be (-2 - -3)*3 + -2. Let d be c*2 - (4 - 4). Let n(s) = 2*s - 3. What is d*p(b) + n(b)?\nAnswer: 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 84\/9 - (-162)\/(-18). Let l(f) be the second derivative of -9*f - f**3 + k*f**4 + 1\/10*f**5 + 0*f**2 + 0. Factor l(n).\nAnswer: 2*n*(n - 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2555960.\nAnswer: 2, 5, 11, 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*n + 8, -2*r = -5*n - 6. Let a = 19 - r. What is the first derivative of a*b**2 - b**2 - 4 + 0*b**2 + 0*b**2 wrt b?\nAnswer: 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186759163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -148.799 and 12.\nAnswer: -1785.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.322 and 243?\nAnswer: -78.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/11*(-2)\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 - 2*b**5 + b**5 + (b**4 - 2*b**3 + 2*b**3)*(4 - 2*b - 4) + 78*b**5 + 747*b**4 - 747*b**4.\nAnswer: 77*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-12)\/(-8)*4268\/66 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24546110 divided by 4909222?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4252.6 + 4\nAnswer: -4248.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003460142 to 6 dps.\nAnswer: -0.000346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -7*u - 3*u. Suppose 15*m - u = 13*m. Let z(j) = 2*j**2 - 3*j - 11. Let v be z(m). What is the highest common divisor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 103*g + 449*g + 540*g + (-1 - 1 + 4)*(-4*g + 5*g + 2*g).\nAnswer: 1098*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200210110 + -121020001?\nAnswer: 2120102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/((-32)\/12)*-2. Sort 5, -17, u, 2 in descending order.\nAnswer: 5, u, 2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -107*v**2 - 4*v + 178*v**2 - 87*v**2 to c*v**2 + p*v + t and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 + 44. Suppose -19 + q = s. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*n + 4*t + 14, -n + 5*t = -15. Let q = n - -1. Let m be ((-2)\/(-3)*-3)\/7. Is q greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 430215719 to the nearest integer?\nAnswer: 20742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y + 3. Let t be l(-8). Let k = 7\/232 - -211\/696. What is the nearest to t in -0.2, 0.2, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -1524107811.\nAnswer: 1524107811.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2\/18 + (-156)\/(-54)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 2:44 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 0*n + 4 = 0, -26*o - 28*o = -66*o - 2*n - 332 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4024325 and 5.\nAnswer: 20121625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 31. Let b(l) = 2*l - 62. Give 6*b(o) + 11*m(o).\nAnswer: o - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 12 = 3*c, -136*p - 2*c = -139*p + 8. Suppose 0 = -z - z. Suppose -b + z*b = -2. Sort -2, 4, b, p.\nAnswer: -2, p, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -7) + (5 - (3 + 3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**2 - 49*j + 111. Let i be b(2). Suppose 0 = -5*t - 7 + 2. Let l be 0 - ((-4)\/78)\/t. Which is smaller: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.230760025 to 2 dps.\nAnswer: 16.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 463, 2522, 6131, 11284, 17975?\nAnswer: 26198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 12*z**2 + 14*z + 19. Let j be a(-11). Let f be 4\/j + 678\/21. Suppose -b - 9 = -f. What is the greatest common divisor of b and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h - 32. Let u be p(8). Is 0 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -176, -262, -348?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (43 + -68 - 43) + 0 + 2?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 3:53 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-3) - -1) + -1. Let w = 3.906 - -0.094. Let z = 50.35 - 55.35. Which is the third biggest value? (a) w (b) z (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5718.0000113799 + 5718. Round n to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1330564 is divided by 665259?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/(210\/(-70)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in -0.5, -5, -10, 278?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 17*l + 14. Let t be k(-18). Find the common denominator of 1\/10 and t + -1 + (-53)\/(-7).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -1344166.\nAnswer: 11\/1344166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 12*b - 13. Let u be z(13). Suppose -2*d - 12 = -2*g - 0*d, u = 5*g + 2*d - 16. Solve -g*x + 7 = -9 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -413.0000211 + 413. Round v to 6 dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.754 to 1 dp.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 8 - 11 + 13)*(-4*f**2 + 33*f - 33*f) in the form g + h*f**2 + q*f and give h.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -16. Let v = 11.99 - -0.01. Let i = v - l. What is the closest to 0.1 in 4\/3, -3, i?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/1330)\/(1\/(-8))*16550\/(-3972).\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - (30 + (-36 - -81)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2\/7, 3\/4555 in increasing order.\nAnswer: -0.5, 3\/4555, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 6 + 3)*(-18495*s**4 - 28982*s**4 + 21695*s**4 + 2*s) - 2*s**4 + 4*s**4 - 3*s**4 in the form z*s + o*s**2 + c + a*s**4 + m*s**3 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4234699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13431 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -1520*s + 38. Let n(d) = -117*d + 3. Let b(x) = 3*h(x) - 38*n(x). Let o(y) be the second derivative of y**4\/12 + 14720*y. What is o(b(k))?\nAnswer: 12996*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.8414 - 0.0114. Let g = 2.7 - s. Let z = 0.23 + g. Is 3\/4 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/(-6)*(-16)\/(-12). Put -1, 4, o in decreasing order.\nAnswer: 4, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -41343, -165706, -372977, -663156, -1036243, -1492238, -2031141?\n\"Answer: -41454*w**2 - w + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**3 + 3*z**3 + 0*z**3)*(12*z - 4*z + 37*z) + (-z - z + 3*z)*(-z - 4*z**3 + z) + 7*z**4 + 8*z**3 - 8*z**3.\nAnswer: -87*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 17*t**2 - 42*t - 39. Determine c(-7).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 351559468 a multiple of 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5338173 and 35783.\nAnswer: 3253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r + 1 - 1)*(10 - 4 + 13)*(-12*r + 2*r - 30*r) to the form j + v*r + c*r**2 and give c.\nAnswer: -760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 416 and 480?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/(z\/(z*z**(1\/5)))))\/(z\/z**(-2\/23)))**(-17))**40 assuming z is positive.\nAnswer: z**(20128\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 454 and -114413836.\nAnswer: -114413382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -93\nAnswer: -7\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 3, -0.5, -0.12, -3 in increasing order.\nAnswer: -3, -0.5, -1\/6, -0.12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 187833275 by -5.\nAnswer: -37566655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.59 + -60976?\nAnswer: -60976.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 2*p. Suppose -4*n + 2 - 38 = p. Is (-11)\/(-1)*(-2 - n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v - 73. Let n be h(12). Let z(s) be the first derivative of -5*s**4\/4 + 3*s**2\/2 + 2*s + 1. Let d be z(n). Solve -d*x - 5 = -3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, w: 2, d: 1, n: 1}. What is prob of sequence dh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 + 9 = -2*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 602 + -607. What is the nearest to -3\/10 in 5, n, -12\/13?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6270089 by -152929.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/7)*(l\/(l*l*l\/((l**(1\/9)*l)\/l)))\/l)\/(l**(-7)*l*l\/(l**(1\/4)*l*l)))**32 assuming l is positive.\nAnswer: l**(8504\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 2*s**2 + 12*s + 10. What is the hundreds digit of l(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192667923 divided by -1?\nAnswer: -192667923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(117) + 4 - (sqrt(91) - -2*sqrt(91))\/sqrt(7)))*2 + 4)**2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 11846528.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**3\/9 + 7300*t**2\/9 + 10448*t - 38656 = 0.\nAnswer: -1812, -16, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -19 + 6 - -10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (1 - (-6 + (6 - 6 - 0)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 10*i + 15. Let o be n(-8). Let b(f) = -23100002*f - 2. Let r be b(o). What is r rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 5*a + 5. Suppose 12 = -x + 5*r, 4*x - 2*r + 7*r = 2. Let t(v) = -v - 2. Let q be t(4). Let y = q - x. Calculate g(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/14 and -39\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 125564603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17188 - 17186. Solve 0 = -b*d - 24*d + 182 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13024405.\nAnswer: 5, 19, 47, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-2*sqrt(110) + sqrt(110) - sqrt(110))\/(4*3*sqrt(10) + sqrt(10)) + 1)*-4.\nAnswer: -4 + 16*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, -4 in descending order.\nAnswer: 7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45833 - 16282. What are the prime factors of x?\nAnswer: 29, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4536114823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -554905*a**3*s + 5*a*s - 15593658*s wrt a.\nAnswer: -1664715*a**2*s + 5*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 15*c + 5. Give y(-16).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*u + 31*u - 4, -5*v - 3*u = 22 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -11.428.\nAnswer: 57.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 3*y**2 - 3*y + 4. Let s be k(2). Suppose s*d + 2*z + 8 = 0, -4*d = z + 4*z + 16. Sort d, 9, -0.2 in increasing order.\nAnswer: d, -0.2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 22*c**3 + c**2 - 21*c + 42. Calculate the remainder when v(2) is divided by 77.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 143284617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-15)*25\/(-2). Suppose 0 = -2*p - 3*g + g + 16, g - 16 = -3*p. Let h be 5\/(p - ((0 - -1) + 2)). What is the greatest common divisor of h and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**7\/210 + 23*u**6\/120 - u**4\/24 - 5*u**3\/6 - 7*u**2 + 5*u. Find the second derivative of v(t) wrt t.\nAnswer: -12*t**2 + 138*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 1. Let z(s) = 3*s**2 + 6*s + 136. Let h(v) = -3*x(v) - z(v). What is the first derivative of h(g) wrt g?\nAnswer: -6*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 2. Let y be q(3). Let l = y + 1. Suppose 0 = -4*s + l*a + 12, 2*a - 9 + 1 = 0. Which is smaller: 6 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -149, -177, -181?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4 - 0. Suppose 16 = -y*f - 0*f. Let z(m) = m**2 + 3*m - 3. Let b be z(f). Let n(r) = -5*r**2 + 2*r - 1. Calculate n(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325237 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 869 and 158.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/16? (a) 0.1 (b) 8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0422 + 0.0069. Round x to 3 decimal places.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -48, 90, 448, 1134, 2256?\n\"Answer: 18*b**3 + 2*b**2 + 6*b - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -581739 divided by -8431\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 + f - 5. Let j(z) = -21*z - 823. What is the remainder when c(4) is divided by j(-40)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165190096 to the nearest integer?\nAnswer: 12853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26636 and -184.\nAnswer: 4901024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 396 by 5.\nAnswer: 396\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9891297 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/10 + -1)\/(2\/(-20)). Let t = a + 75. Let g = t + -75. What is the lowest common multiple of 6 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*i - i. Let j = -6 - -10. Suppose j*m + 29 = -4*f + 1, -3*m = 2*f + 16. Which is smaller: i or m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - (-90 + 55)) + -45?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 298300930 a multiple of 240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.6 or -6575.5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84300003 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -11, -21, -47, -95, -171, -281, -431?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -3448835\nAnswer: 6\/3448835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 2*c**2 - c + 282. Let z be (1 + -3)\/(-1) + (-17 - -15). What are the prime factors of x(z)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 670.9 - 641. Let q = 28.9 - x. Which is the closest to -6? (a) 1\/4 (b) -0.4 (c) -0.07 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 274957085?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 10*g - 16. Let q be f(2). Suppose -q*r = -5*r - 9327. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/(-4)*(-4)\/(-3)*199\/(-149250)*150?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1734, 12, 1 in descending order.\nAnswer: 1734, 12, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from ooololj?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 12:25 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*-1 + 0 + -1)*-1 - (sqrt(10)\/((sqrt(8)*1)\/sqrt(4)) + (-1*sqrt(125) + 4)**2).\nAnswer: -140 + 46*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -9*s + 1. Suppose -4*h = -g - 19, -2*h - 4*g + 14 = -0*h. Suppose 5 = -2*f + 35. Suppose -h*j = -8*j - f. Let b(u) = 4*u. Determine j*b(q) - 2*c(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29376154?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2\/11*a**2 - 26\/11*a + 0 = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/5)*j**(-1\/2))\/(j**(3\/13)*(j**(-2)*j)\/j) assuming j is positive.\nAnswer: j**(61\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159, 299, 439, 579, 719?\nAnswer: 859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -833*c - 837*c + 2496*c - 829*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 12, q: 7}. Give prob of picking 2 t and 1 q.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 - -38. Let n(g) = 3*g + 56. Let b be n(s). Suppose 14 = -2*r + 2*z - 4, r + b*z = 15. Put -1, r, 2 in ascending order.\nAnswer: r, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -3877*q**6\/6 + q**4\/4 - 271*q**3 - 9196. Find the third derivative of n(v) wrt v.\nAnswer: -232620*v**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63236 (base 7) to base 9.\nAnswer: 23308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*(1 + -3 + sqrt(475) - (2 + sqrt(475))*6))**2.\nAnswer: -1810650 - 105000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 2. Let l be j(0). Suppose 3*i = 2*t + 13, -2*i + 7 = 3*i + 4*t. Solve -w + i = -l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31549871?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.17 take away 2.6?\nAnswer: -4.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -209 (base 11) to base 13.\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s - 8 + 8)*(0*s**2 - s**3 + 0*s**2) + 43*s**2 - 1102*s**4 - 18*s**2 - 27*s**2 as r*s**2 + j*s**4 + a + y*s + o*s**3 and give j.\nAnswer: -1105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*p + 257978, -3*p + 54554 + 100264 = 4*g. What are the prime factors of p?\nAnswer: 2, 25799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156239 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**4\/24 + f**3\/2 - 46*f**2 - 2*f. Let p(a) = a. Give p(x(z)).\nAnswer: z + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven quarters of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 137*s**2\/2 + 22*s + 48. Is c(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**4\/6 - 3*d. Let c(t) = t**2 - 3. Let q be c(-3). Let x(p) = 0*p + q*p - 5*p. Determine z(x(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*z**4 - 44*z**4 + 29*z**4)*(-2 - 1 - 5).\nAnswer: -120*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*g**3 + 78 - 78.\nAnswer: 38*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/4 of a millennium in decades?\nAnswer: 2275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*y = 25*y - 1464. Let a = -111 - y. What is the highest common divisor of a and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 + 25. Let j = g + -52. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102*q + 50*q - 6*q)*(2*q**2 - 4 + 3 - 2*q + q).\nAnswer: 292*q**3 - 146*q**2 - 146*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 2.4, 4 in decreasing order.\nAnswer: 4, 2.4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((800\/(-70))\/4)\/(-22))\/((-13)\/1144*-8).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhn when three letters picked without replacement from znzhniih?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 0*d - 2*d - 9, -6 = 2*d. Let k(x) = x + y + 1 - 2*x**2 + x**3 - 2*x**2. Give k(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7856 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 2*v**2 + 3*v - 3. Let q be l(2). Suppose -c + 5*y - 6*y = -8, 9 = q*y. Let f = 2 + 5. Calculate the remainder when f is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4725 = 5*z, 0*z - 3751 = -4*z + 5*y. Calculate the remainder when z is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -128847.05 to the nearest one thousand.\nAnswer: -129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from rrrrurrrrrrrrrr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193157, -193145, -193133?\nAnswer: -193121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**2. Suppose -5*d + 3*d = -4. Suppose 0*k + k = 2. Let f(g) = -g**2 - 4*g**d + 3*g**k. Give f(h(y)).\nAnswer: -18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12487*6*135\/270 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 - 22*t - 29. Is b(20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 248 + -4469\/18. Let l = 43651\/5016 - 711\/88. Calculate the common denominator of l and f.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -r - 12. Suppose 5*n = 3*u + 17, -3*n + u - r*u = -14. Calculate the least common multiple of 11 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -2 (b) 204 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 150544*i**2 - 776*i\/3 + 1\/9.\nAnswer: (1164*i - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.078366 + -22286399\nAnswer: -22286399.078366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 - 2 = -3*m. Let n = 36 - m. Suppose 3*u + n = 4*p, 60 = 5*p - 3*p - 4*u. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 579\/10112 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzzhzhzzznzr. What is prob of picking 1 r and 1 z?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002368 to seven dps.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1264182680 - 1264182689.00000023. Let t = -8 - 1. Let d = t - h. Round d to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + -1 - ((-12)\/(-3) + -6). Let v be ((-34)\/d)\/(-8 + 220\/30). Solve -5*n - m - v = 11, m + 13 = -2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - (-4)\/(-5)) + 266\/70. Solve 0*t + 16 = -h*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195\/117*-1*3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3\/(i**(-4)*i))**(1\/15)*((i\/i**(-1\/8))\/(i\/(i*i**(-2\/17)*i)))\/i**38 assuming i is positive.\nAnswer: i**(-24203\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 779444 take away -0.14947?\nAnswer: 779444.14947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 0, -21, 9, 3 in ascending order.\nAnswer: -21, -3, 0, 1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2054\/1855?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 8. Let o = y - -2. Let p = -0.999 - o. What is p rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 2:45 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2480 + -2480.0023039. What is t rounded to five decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*p = -3*k - 12, 0 = -p. Let u be (-34)\/(-10)*1 + k\/10. What is the first derivative of 15*b - 39*b - 4 - 7 + u wrt b?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 30*u - 39*u + 10*u - 15, -15 = 5*z - 7*u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -47*v - 434. Calculate z(-8).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 139 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 25*r + 353. Let a be u(-13). Solve 8*g + a = -5*l + 4*g, 14 = 4*l - 2*g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b + -16?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 163705 + 4839?\nAnswer: 168544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -40?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7, 106, 6, -126, -2 in increasing order.\nAnswer: -126, -2, 3, 6, 7, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 623 divide 13665584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -20720000 to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x + x + 3*x + (3*x - x - 3*x)*(-3 + 1 + 1) - 6*x - x + 0*x - x + 2 - 2 + 7 + x - 7 to n*x + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15157*n - 546 - 609 = 15212*n for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -9*w**3 + 2*w**2 - 2*w + 2. Let s(f) = -36*f**3 + 9*f**2 - 9*f + 9. What is -18*n(l) + 4*s(l)?\nAnswer: 18*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9882 and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 + 2*p**2 - p. What is the remainder when n(3) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300323308 divided by -5?\nAnswer: 300323308\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**6\/180 + 5*m**3\/6 + 4*m. Let r(h) be the second derivative of n(h). Let c(y) = -7*y. Determine r(c(k)).\nAnswer: 98*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(210)*1 + sqrt(210))\/sqrt(10))\/((sqrt(63)\/sqrt(3))\/sqrt(3)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3791 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5458046 and 27094?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = -4. What are the prime factors of -2*(c - 62\/4)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 7*o**2 - 7*o + 8. Let b be f(6). Let w(t) = b*t**3 - t**3 + 8*t - 2*t**2 + 7 + 9*t**2. Let v(s) = 9*s + 30. Let n be v(-4). What is w(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 836239631.\nAnswer: 211, 3963221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5202*o**3\/7 + 68034*o**2 - 37184*o + 5096 = 0.\nAnswer: 14\/51, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/48? (a) 3 (b) 0.3 (c) 4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/14)\/((-2125)\/595)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6 and -436?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -1092*t - 134332. Calculate k(-123).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (50 - 69) + (-6 - -56)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1045116263?\nAnswer: 181, 5774123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((816\/(-84))\/(-17))\/(-1)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 69921462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -433945.\nAnswer: -433943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/9)\/(2\/(-6)). Let b(k) = -k + v - 2 - 3 + 5. Determine b(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389843269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + o + 766 = 0, 2*j - 100 = -5*o + 405. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1865027702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.3 + -1.4. What is the nearest to x in 0.1, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + a. Suppose 0 = 4*v + 15 - 31. Let m be 14\/v - (-15)\/10. Solve a = 3*y - j + 4 - 3, m*j = -4*y - 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*x - 75*x - 38 = -3*q, 2*q - 5*q + 28 = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 21, 29, 39?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 6*b + 5. Suppose b*u - 5*p = -120, -3*p - 2*p + 70 = -3*u. Let x = u - -71. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 2*w = 15, 3*z + w + 4 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1110001100000011110100010?\nAnswer: 1110001100000011110011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 721819683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000051955735 to 7 dps.\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 11:47 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-504)\/3024)\/((-1)\/98)*-3?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 770728825.\nAnswer: 5, 19, 1622587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand u + 10 - 10 + u + 4*u - 3*u + (0*u + 2*u - u)*(-1 + 2 - 2) + 3*u + 9 - 9.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4591020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 4*x + 12 = 0, 0*r - 3*x + 10 = -4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(77)*2 + -3*sqrt(77)*-1))\/(-1*(sqrt(252) - (sqrt(252) + (sqrt(252)*1 - sqrt(252)))) - -4*(sqrt(252) - -1*sqrt(252))).\nAnswer: -sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1144 and 51464\/40 + -4*5\/(-50).\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.5, 4\/44815, -5, -1 in decreasing order.\nAnswer: 0.5, 2\/5, 4\/44815, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 65, 127, 209, 311?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1096, 1098, 1102, 1108, 1116?\nAnswer: 1126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 133033112?\nAnswer: 133033122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 7:28 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2))**(-38))**48 assuming v is positive.\nAnswer: v**(-5472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 20. Let y be a(-5). Suppose -i - 2*t = -10, -25*i + 30*i + y = 5*t. Find h such that 2\/11*h**2 + 0 + i*h = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + x + 24)*(18*x**2 - 11*x**2 + 3*x - 10*x**2).\nAnswer: -3*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 134*p**3 - 11. Let d(v) = 45*v**3 - 4. Calculate 11*d(i) - 4*o(i).\nAnswer: -41*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1483 - -2635. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j**3 + 11*j**2 - 11*j + 11. Let f(l) = -2*l**3 + 4*l**2 - 4*l + 4. Let h = -9 - -5. Let k = -13 - -24. What is h*p(z) + k*f(z)?\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(66)\/(sqrt(6)*-1)) + -4)**2.\nAnswer: 8*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + z**3 + 3*z**2)*(-8*z + 8*z + z**2) - 6*z**5 - 1 + 1.\nAnswer: -5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (78722 - 23872 + 51212 + 16381)*(1 - 1 + 2*q**2 + (4*q + q - 4*q)*(0*q + q + 0*q)) to the form d + t*q + r*q**2 and give r.\nAnswer: 367329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -160 - 4181?\nAnswer: -4351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/2)\/((-7)\/(-14)). Let w(k) = k**2 + 2*k - 7. What is w(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 12*t**2 - 16*t + 2. Let a be z(-15). Let p = 436 + a. Solve 3*w + j = 0, -p*w - 5*j = -j for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 376642 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -391 divided by 20024\nAnswer: -391\/20024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 12 = 29*p - 31*p, -25 = 5*t - 3*p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*t - 818*t + 17402 = 54*t for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170591, 170588, 170585, 170582, 170579?\nAnswer: 170576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-4) - (-5 + 3). Suppose 2*z + 0*a + a - 45 = 0, n = -2*a + 10. What is the lowest common multiple of z and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3\/1691, -1\/10, -2 in decreasing order.\nAnswer: 4, 3\/1691, -1\/10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -985, -1020, -1033, -988, -849, -580?\n\"Answer: 6*t**3 - 25*t**2 - 2*t - 964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 13020165.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 2\/1543?\nAnswer: 2\/1543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -4 + 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/(h*h**(3\/7)))\/h*h)\/(h\/(h*h*h**(-8)))*(h*h*h\/h**14)\/h**(7\/5))**(4\/5) assuming h is positive.\nAnswer: h**(-2636\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000345895 to 7 decimal places.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2 + 4 + -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o**3 - 3*o**2 + 3*o - 6. Let c(p) = p**3 + p - 1. Let j(z) = -5*c(z) + g(z). Let l = -1413 - -1406. Let x be (2\/l)\/((15 + -7)\/56). Calculate j(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ip when two letters picked without replacement from piapaazazzazazzzziz?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b + 10. Let y be u(-8). Let l be ((-2)\/4 - 0)*y. Differentiate -2*n**2 - 2*n**l - 1 + 2*n**2 with respect to n.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2) + (0 - 1) - (80 + -69)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 4 - (5 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2774840209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 6228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - t = 10, -3 = 2*q - 4*t - 13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aayfafwyayfafafafa. What is prob of sequence yyy?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a centimeter in micrometers?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/8 + 75*z**2\/8 - 213*z\/2 - 720.\nAnswer: 3*(z - 12)*(z + 5)*(z + 32)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 1. Calculate the remainder when 5 is divided by (0 - 3)*n\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -239*o**6\/12 - 903*o**5\/20 - 1828*o**2. What is the third derivative of q(z) wrt z?\nAnswer: -14340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -12. Let l = 58 - 38. Let y = l - 41\/2. Which is the closest to 0? (a) f (b) -0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1405040425*t**2 + 1455632849*t wrt t.\nAnswer: 2810080850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 448 + -444. Solve g = 2*g - c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*m - 3 = -15, 5*m = 15. Let j be 1 + (-6)\/98 + -1. Let v = j + -71\/441. What is the smallest value in p, v, -1\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 2:50 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 3 (c) 24 (d) -3\/7 (e) -5 (f) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 920309 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-34)*(25\/10 - -7). Is -1 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y**3 - 6*y**2 + y**3 + 6 + 5*y + 2*y**2 + 2*y**3. Let i be w(-5). Solve -3*h + 2*f - 16 = i*f, 0 = -h - f - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -446*t**2 - 17*t + 112*t + 54*t + 74*t - 18*t.\nAnswer: -446*t**2 + 205*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 + -0.4612.\nAnswer: -0.5812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -743 - -485. Let o = t - -324. What is the lowest common multiple of o and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4083570403 and 0.1.\nAnswer: 4083570403.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26004 and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 764741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 2 = 18 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74001446, -148002897, -222004348, -296005799, -370007250?\nAnswer: -444008701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l*u**5 + l*u - 93775*u**5 - u**2 - 50080*u wrt u?\nAnswer: 60*l*u**3 - 1875500*u**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1935042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 0, -1\/71, -34191, 0.3, 1?\nAnswer: -34191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 16) in base 7?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/484743 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -2) + (-17 - -12) - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/7 + (-33)\/(-7). Suppose -r*b + 74 = 5*l - 241, 0 = -3*l + 2*b + 214. What is the remainder when l is divided by (1 - 13)\/(9\/(-9))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvnvvlslvvmmlmvslv. What is prob of sequence vmss?\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15357012743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-3)*0*16\/(-48). Let r(y) = -y**2 + 5*y + 2. Let p be r(5). Let h be (0 - -1*2) + p. Solve 3*n = 5*x - 35, l*x = h*x - n - 21 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 20\/16)*-4 - -8. Solve f*w = 4 + 21 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 + -50. Let i = -26 + r. Which is greater: -2\/61 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 113 + -112. What is the second biggest value in -2\/21, j, -0.4, 23?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-6)*(0 - -3))\/7.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, y: 7}. What is prob of sequence wywy?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -10*m**3 + 4*m**2 + 56*m + 256. Does 13 divide j(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(4\/(-45))\/(50\/75)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 8*h**4 - h**3 - h**2 - h + 1. Let s(g) = 204*g**4 - 3*g**3 - 5*g**2 - 3*g - 3081. Let v(w) = -3*n(w) + s(w). Find the first derivative of v(p) wrt p.\nAnswer: 720*p**3 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaagaaaaaggaa. What is prob of picking 3 g and 1 a?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -3. Let r = -2.016 - m. Let k = r + 0.01495. What is k rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*r + 19 = 0, -5 + 3 = -2*l - 2*r. Let w(k) = -1 - 2 - 1 - 2*k + 3. What is w(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddcfhddddcqdcddhqu. What is prob of picking 1 h and 1 q?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/53 in 5, -2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 541202.2 kilometers in millimeters?\nAnswer: 541202200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, h: 2, r: 1, d: 8}. What is prob of sequence vhh?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -694*o**6 - 1370*o**5*z - 7*o**2*z + o**2 - o*z + 767*o - z - 9 wrt o.\nAnswer: -83280*o**3 - 82200*o**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 17. Let j be y(-16). Let r be 6*((-5)\/(-3) - j). Solve -w = r*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + 1. Let j(i) be the second derivative of i**3\/3 + 3*i**2\/2 - 50*i. What is -4*j(z) + 10*q(z)?\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 4. Let k be v(3). Let s be (0 - 3)\/(-4 + 26\/8). Which is the nearest to 0? (a) 2 (b) s (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.6000009 + -2.6. What is r rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 582333846?\nAnswer: 2, 3, 97055641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 14*h - 6. Let i(b) = -3*b**2 - 28*b + 11. Let z(u) = 4*i(u) + 7*m(u). Let k be z(-3). Is 6\/5 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -72, -305, -688, -1215, -1880, -2677?\n\"Answer: s**3 - 81*s**2 + 3*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 20650\nAnswer: 1\/4130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.93058 - 0.06942. What is the nearest to -0.1 in -171, c, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 3)*(-2 - -1). Let u be -2 - (-1 + (z - -1)). Let m = -7872 - -62973\/8. Does u = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 5, -2179 in decreasing order.\nAnswer: 12, 5, -2179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2 - 9. Let d = 15 - h. Put -2, d, 5 in ascending order.\nAnswer: -2, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7850467378 to the power of 1\/2, to the nearest integer?\nAnswer: 88603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -15.8?\nAnswer: -63.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -3*r**5\/20 + r**3\/2 + r**2\/2 - 509*r + 1. Let j(t) = t. Let a be j(-2). Give z(a).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133264?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 12*r + 47. Let n(w) = 4 - 2*w**2 + 0*w**2 + 3*w**2 + 5*w. Give n(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.032057 - 0.032. Round h to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 9*v. Let s be o(-1). Suppose -2*k - 3*q - 19 = 0, -4*q + 5 - 35 = 5*k. Let d be (3\/s)\/(k\/30). Solve i - 2 = 2*b - 2*i, 8 = -b + d*i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1077, -1043, -951, -771, -473, -27?\nAnswer: 597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -183283 (base 9) in base 2?\nAnswer: -11011110100101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 1.36, 2\/7, 4, 5 in decreasing order.\nAnswer: 5, 4, 1.36, 2\/7, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x**5 + 208084*x**4 - 4539854*x**3 + 3358864*x**2 + 972888*x = 0. Calculate x.\nAnswer: -11582, -2\/9, 0, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 742 - 742.1. Suppose -5*v - 16 = g, -4*v = -7*v - 6. What is the nearest to g in -4, 1, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.8 + -6. Let y = j + 0.3. Let x = -3 - y. Which is the closest to x? (a) 3 (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*m - 621*m + 160*m.\nAnswer: -406*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1447668 divided by -723834\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 17 = -5*x - 33, 3*x - r - 4 = 0. Solve x = 2*u - m + 1, -5*u + 2 + 3 = 5*m for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17057 divided by 37?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 6)\/(39585\/(-546))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.088 + 0.018. What is the third biggest value in c, 0, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12907283, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5 + 2*o**3 - 4*o + 7*o**2 - 7 - 3*o**3. Let z be r(6). Suppose 0*q + q = z. Is q greater than or equal to -2\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 812\/1 + 15\/(-5 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(832) + 4*2*sqrt(832))**2 + (sqrt(832) + (5*(sqrt(832) + 2) - sqrt(832)))**2)*-2.\nAnswer: -882920 - 8000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*(b*b\/(b\/((b*b**2)\/b)))\/b))\/b)**(1\/15)*(b\/(b\/(b**26\/b*b)*b))**37 assuming b is positive.\nAnswer: b**(4624\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104280 divided by 17380.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123826 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 80060 = -4598. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 223*r**4 + 255*r**4 + 2 - 480*r**4 + r**2 - 5*r - 23*r**3 to the form f*r**2 + p*r**3 + j + y*r + i*r**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 187413 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 5:21 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 14*f - 22. List the prime factors of t(-23).\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102704, 102624, 102556, 102506, 102480, 102484?\nAnswer: 102524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**2 - 1 + 1 + (3*a - 3*a + a**2)*(5 - 4 + 0) + 0*a**2 + 3*a**2 - a**2 + (-33*a + 33*a - 5*a**2)*(0 + 2 - 1) + 24*a**2 - 4*a**2 + 14*a**2.\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, k: 3, c: 1, w: 1, i: 1, h: 3}. What is prob of picking 1 l, 1 k, and 1 i?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(245))*-4 - sqrt(245))**2 + 1.\nAnswer: 280*sqrt(5) + 6142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19.3 - 19.362. Let l = z - 3.938. Which is the nearest to -7? (a) -0.4 (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8*d**2 + 4*d - 32. Let k be n(4). Suppose 2*t = -2*t, -4*t + 80 = 5*c. Calculate the highest common factor of c and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.04588701?\nAnswer: -0.004588701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17619538707\/5176 - 3404084. Calculate the common denominator of 73\/72 and m.\nAnswer: 46584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1272 and 795?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 31. Let w = -3\/121532 + 3949799\/364596. Which is smaller: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3946 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2275 * 0.35.\nAnswer: 796.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/10)\/((-1)\/10). Let i(r) = r**3 - 5*r**2 - 6*r + 3. Does 3 divide i(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**4\/4 - 4*l**3\/3 - 7*l**2 + 19*l - 8. Is q(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 1 - 41 = 0. Let s = d + 30. Suppose 2*q - 31 = -5*m, 2*m + 5*q - s = 3*m. Solve -2*n + 0*r + 9 = r, 3*n - m*r - 7 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-94)\/((-43240)\/(-26404)))\/((-35)\/50).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-336)\/(-210)*(-3)\/8?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 22*b**2 + 60*b.\nAnswer: 2*b*(b - 6)*(b - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -7989 (b) 4 (c) -0.1 (d) 3 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1084681 is divided by 655?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1860*p**2 - 55*p + 1.\nAnswer: -3720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -h + 2*h. Let m = -16 + h. Suppose -f = -4*j + 16, -m*j + 3*j = 4*f + 4. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.33, 1346, -6 in decreasing order.\nAnswer: 1346, -0.33, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/23 + 3268\/(-322)*-1141. What is the highest common divisor of 60 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34237134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.2 + 4.8. Let n = 11 - d. Which is the second smallest value? (a) n (b) -3\/4 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -44.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 6708 = 4*o, -3*a - 1873 = o + 3162. Is (-1 + -1 + (-13)\/(-13))*a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2901533\/30 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/6*7\/((-28)\/16)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 509124 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -17*d**2 + 45*d + 46. Let n(h) = 11*h**2 - 30*h - 31. Let y(u) = -u + 14. Let a be y(9). Let f(m) = a*b(m) + 8*n(m). What is s in f(s) = 0?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1302*k**2. Let r(y) = -4*y**2. What is p(r(s))?\nAnswer: -20832*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*n**2 - 4*n**2 - 161*n**2 + 5*n**2.\nAnswer: -245*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (0\/2)\/((10\/(-2))\/(-5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 472947743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*r + 4 = 87*r. Suppose 0*f + 4*l + 14 = 3*f, 4*f - 4 = -r*l. Factor 3\/8*s**f - 3\/2*s + 0.\nAnswer: 3*s*(s - 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 31. Suppose -7*u - 8 = -m. Is (u\/2)\/(1\/5444*-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261.82 rounded to zero decimal places?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7017, 56144, 189487, 449154, 877253, 1515892?\n\"Answer: 7018*b**3 + b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 2*v - 32 = 4*v, 14*l - 11*l + 2*v - 4 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 6:14 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -15, -12*v = 4*q - 13*v + 1. Which is the nearest to q? (a) -21 (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 299803 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*m**6*r**2 + m**6*r + 21*m**2*r + 12*m*r**2 wrt m?\nAnswer: 2520*m**3*r**2 + 120*m**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 1. Suppose -2*l + 14 = 3*u - 2, -u - 2 = -3*l. What is the smallest common multiple of d(0) and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41 + 0)\/(-5 + 387\/90) + (-126)\/294?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -0.2 (b) 37 (c) -2 (d) -3 (e) -44513\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*i + 42659 = -473*i - 12456 for i.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -29790000 rounded to the nearest one million?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 5*o + 1. Let n be a(3). Let g = -1 - n. Let b = -0.6 - 0.4. Put g, 3, b in increasing order.\nAnswer: b, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24\/(-265))\/(-4))\/(-216 + 201 + 73\/5)?\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 4:28 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 10 = -3*q, -5*t = 12*q - 13*q + 10. Let w be 2 - 1 - -2*1. Suppose q*r = -w*r. Solve 5*p - 5*f - 15 = r, -p - 4*f + 0*f - 12 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 13*x = s - 3, -x = 2*s - 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.573 less than -0.504?\nAnswer: -29.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/3600285 and -68\/291915.\nAnswer: 10800855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/(6 - 48\/9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2867 less than -2593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x - x + 4*x + (-2*x - 4*x + 5*x)*(-1 + 1 + 1))*(60 + 96 + 24) as c + y*x and give y.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40897436291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 6)*(0 + 0 + 3*l**4).\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20218084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*j**2 - 35*j**2 + 25*j**2.\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-104)\/(-364) - (-1 - (-2389)\/7). Is q bigger than -340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 88 (c) -0.1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**5\/3 + 148*t**4 + 206320*t**3\/3 - 15944500*t**2 - 244268750*t\/3 = 0. Calculate t.\nAnswer: -323, -5, 0, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26363 = 37*h - 26400 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 times -0.017993\nAnswer: -0.0269895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 2*c - 1. Let f(w) = -8*w**3 - 2*w**2 + 20*w + 14. Let i(q) = -f(q) - 6*l(q). Find d such that i(d) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**4\/4 - w**3\/3 - w**2\/2 - 77. Let a(r) = 10*r**3 - 50*r**2 + 70*r + 125. Let x(l) = a(l) - 5*q(l). Let x(c) = 0. What is c?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337764580.\nAnswer: 2, 5, 211, 80039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in decades?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + s + 3*p + 152, -2*s - 4*p + 66 = 0. Suppose 7 - s = -2*z. Let t be (24\/28)\/((-2)\/(-14)). What is the greatest common factor of t and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110011100100010010 (base 2) to base 10.\nAnswer: -211218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bc + 4211?\nAnswer: 42cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 17*k + 6. Give o(15).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2365*f + 2107. Let s(u) = -18*u - 1. Let c(n) = 2*s(n) + w(n). What is the first derivative of c(v) wrt v?\nAnswer: -2401","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(2448)*-2 + (-6*(-2 + sqrt(17)) - (-3 + (sqrt(153)\/sqrt(9))**2 - sqrt(17))))*-2.\nAnswer: 4 + 154*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 1:22 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -941023, -941108, -941193, -941278, -941363, -941448?\nAnswer: -941533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25 - 36?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50241678 and 5116.\nAnswer: 2558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -5. Suppose -4*q - z = -6*q - 3*c, -3*q = 3*c - 12. Let t(b) = -5*b**3 + q*b**3 + 5 - 4. What is t(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -299*l**2 - 344*l**2 + 84*l**3 + 31*l**3 - 4 + 592*l**2 - 25*l**4 - 35*l.\nAnswer: -(l - 4)*(l - 1)*(5*l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j + 25. Let h be t(16). Let a = 0 + 2. What is the remainder when h\/((-2)\/28*a) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 500, 5148, 12904, 23774, 37764, 54880, 75128, 98514?\nAnswer: 125044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) 50 (c) -2\/13 (d) 5 (e) -0.5 (f) 337\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1523324?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 656 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.382296800374 and -3.\nAnswer: -3.382296800374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12938, 25875, 38812?\nAnswer: 51749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4 + 9 - 11*u - 2 to k + x*u and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/77632, 2\/11, 5, 9.4?\nAnswer: -1\/77632","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/6*c**4 - 1\/6*c**5 + 1\/3*c + 0 - 5\/6*c**2 + 1\/2*c**3 = 0. Calculate c.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = 185 - 108 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 127364 and 132891 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -138800.7276 to the nearest 1000.\nAnswer: -139000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 + 3880*g**2 - 961*g**2 - 976*g**2 - 967*g**2 - 976*g**2.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 756775587 - 527075708. Let a = -229699865.9999933 + f. Let v = a - 13. What is v rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 249 and 137346.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 864\/539 (b) -0.08 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -3, -5 in decreasing order.\nAnswer: -3, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 9*n + 59. Solve q + n = -3*w - 0*w, 4*w = q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y. Let h(m) = 29*m - 1. Determine -h(v) + 4*k(v).\nAnswer: -33*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-88))\/(21*10\/108570).\nAnswer: 47\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 1. Let g(c) = -c**3 - 19*c**2 - 20*c - 25. Let x be g(-18). Let b(i) = 2*i - 21. Let j be b(x). Let h(w) = -w**2 + w - 1. Give j*u(k) + h(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11573610 and 285882.\nAnswer: 9222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6 - 9 + 2 + 1 - 13*c. Suppose 2*l - 3*w + 7*w = 0, 5*l - 40 = -2*w. Let h be s(l). Round h to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(-10)*9348\/1230.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*q = 27, 0 = -2*s - 4*q + 7 + 1. Suppose -s*l + 1159 = -381. Calculate the highest common factor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4354 (b) 5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 t when three letters picked without replacement from {t: 5, y: 5}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**4\/13 + 810*a**3\/13 - 4932*a**2\/13 = 0. What is a?\nAnswer: -411, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ji when two letters picked without replacement from {y: 1, i: 2, r: 1, j: 1, w: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-72 + 72 - 11*k)*(12 - 1 - 2) as f + h*k and give h.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 2) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -4*u + 37. What is the remainder when 94 is divided by u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -753 - -759. Which is the smallest value? (a) -3 (b) -0.7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 - (-5 + 29 + -5 + -3).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(7\/(-4)*-6)*22253\/(-28611)?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -0.5 (c) 1.051 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3298675722.\nAnswer: 2, 3, 59, 67, 139079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 - -58. Let w = 11 + g. Suppose -j + 307 = d + d, -131 = -d - w*j. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j - 5*j + 11*j + (-1991 - 396*j + 1991)*(2 - 1 + 0).\nAnswer: -394*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*x - 28 = 80*x. Calculate the remainder when 56 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.7 + -0.2. Let u = h - 1.43. Let p = u + -0.07. Which is greater: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2. Let y(b) = -3*b**2 - 3. Let f(g) be the third derivative of -g**3\/6 + 5*g**2. Let v(w) = -3*f(w) + y(w). Give i(v(p)).\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b + 7 + 5 - 8)*(48*b**2 + 227*b**2 + 287*b**2) to j + h*b**3 + z*b**2 + w*b and give z.\nAnswer: 2248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -171*b**3 + 142*b**3 + 25*b**2 + 5*b**2 wrt b.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 1735180?\nAnswer: 6940720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 84 - 16 = 0. Let m(r) = 48 + n - 97. Let t(l) = 2*l + 6. Calculate -6*m(y) + t(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/sqrt(8) + 5)*2.\nAnswer: 2*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 635593 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 162 + 8 = 4*w, 5*b = -2*w + 74. Let q = -23 + w. What are the prime factors of q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/8761896 and 65\/29304.\nAnswer: 8761896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 1. Let q(i) = i - 9. Let g(h) = -18*j(h) - 2*q(h). Let o(l) = 0*l - 5*l + 6*l. Determine 4*g(k) + 9*o(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/3 (b) -4 (c) -24 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, -0.4, -0.2, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 7*k - k - 64814, -3*k + 32406 = -3*d. Calculate the greatest common divisor of 584 and k.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2798*g**5 + 83*g**2 - 13*g.\nAnswer: 167880*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -18 - ((0 - -10) + -17 + 13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 + -122. Suppose -12*v + 4*j - 204 = -16*v, 2*v - 98 = -4*j. Let h = c + v. What is the second smallest value in h, -24, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.74203 millennia to years.\nAnswer: 50742.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/(-540)*405\/126.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12017? (a) 20 (b) -2\/9 (c) -4 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5435239961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -64460, 0.2, -11 in descending order.\nAnswer: 0.2, -2\/15, -11, -64460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/4300 and -67\/24.\nAnswer: 25800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 8. Let w be k(0). Suppose -2*z = -4*y - w, 0 = -4*z + y + 4*y + 10. Solve z = -3*v + 4*v - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**6 - 15621*s**4 - 4090*s**3 + 5*s**2 - s + 2477410?\nAnswer: 240*s**3 - 374904*s - 24540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98198 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 971.6028 - 630.5825. Let p = 341 - w. Round p to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from npfonhfk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 + 20*j - 38. Give a(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-1) + -1 + 1. What is the closest to g in 4, 0, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 350403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3321, 7, -7 in descending order.\nAnswer: 3321, 7, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15713d (base 14) to base 9.\nAnswer: -1361835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, i: 6, a: 1, t: 4, u: 1}. What is prob of sequence ti?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d - 24 = -21*d. What is the lowest common multiple of d and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15126*w - 15120*w + 30265*w.\nAnswer: 19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*1*sqrt(64))\/sqrt(8))\/(sqrt(112)\/sqrt(7) + (sqrt(4) - (sqrt(96)\/sqrt(2))\/sqrt(12))).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-91)\/14 + 3\/(-6). Let k(g) = g**3 + 8*g**2 + 4*g + 5. Let q be k(w). Suppose 0 = -u + 5*r + 10, u - r - q = -4*r. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v**3 - 32019*v**2 - 1958931*v - 971460 = 0.\nAnswer: -60, -1\/2, 5397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + 3. Let x = -12.6 + j. Which is the third biggest value? (a) x (b) -4 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**2 - 35117280*f = 0. What is f?\nAnswer: 0, 8779320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-720)\/(-96))\/((-3)\/(-28)). What is the highest common divisor of 56 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -6*r - 9, -5*r = 2*a - 109. Let g = a - 56. Solve 2*o + o = g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dab59 + -51?\nAnswer: dab08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 795.9765mg in kilograms?\nAnswer: 0.0007959765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33060461 to the nearest integer?\nAnswer: 5750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 110897 (base 10) to base 7\nAnswer: 641213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = 4*p - 148 + 88 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -2*r**7\/315 + 5*r**6\/24 - 377*r**5\/180 + 25*r**4\/8 + 9*r**3\/2 - 476*r**2. Suppose h(o) = 0. What is o?\nAnswer: -1\/4, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-5))\/((-27)\/((-2025)\/(-6))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -24. Let i(w) = 25*w**2 + 21*w + 11. Let v(r) = -71*r**2 - 61*r - 35. Let d(n) = -17*i(n) - 6*v(n). List the prime factors of d(g).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3f023 (base 16) to base 8.\nAnswer: -770043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*x - 55 + 55)*(2 - 3 - 2) - x + 2 - 2)*(-2*x - x**2 + 2*x).\nAnswer: 19*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-3 + 5 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 41292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1 = -3. Let t(i) = -i - 1. Let q be t(-1). Let o be (-1)\/(-2 - -3) + q. Sort 4, c, o in descending order.\nAnswer: 4, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**9\/3780 + t**8\/840 + t**7\/630 - 5*t**4\/12 + 4*t. Let z(w) be the third derivative of f(w). Suppose z(m) = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1696259964 to the power of 1\/2, to the nearest integer?\nAnswer: 41186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*k**2 - 4*k**3 - 46*k**2 + 246*k**2 + 1.\nAnswer: -4*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + 4*sqrt(684))*-6.\nAnswer: -144*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-nine quarters of a hour?\nAnswer: 735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*p + 26 = 0, 5*p = -26 + 6. Let -9\/2*s - 27\/4 - 3\/4*s**y = 0. Calculate s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 90*g - 714. Give u(10).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 3*u + 2*u + 3*u - 3*u + u + (0*u - u + 0*u)*(-1 - 2 + 5))*(-7 + 0 + 41).\nAnswer: -102*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 5*p**2 + 35430*p + 35425 = 0.\nAnswer: -7085, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 16*u**2 - 1098*u - 1478. What is r(70)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*l + 1, 0*k = 5*l - 5*k + 15. Is 1\/70 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 5, -1, -115 in decreasing order.\nAnswer: 5, -1, -8, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**4 - 24 + 10*u**2 - 8*u - 4*u**3 + 4\/5*u**5. Determine y, given that g(y) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224 + 0*m + 120 + 155 - m.\nAnswer: -m + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 19*g**6\/12 + 163*g**3\/6 + 130*g**2. What is the derivative of d(o) wrt o?\nAnswer: 570*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -21*u - 20. What is p(3)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1489290 divided by -49643.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100011 (base 2) to base 13.\nAnswer: -c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5809855951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2)\/k*k**4*k**(3\/5)\/(k**(-2)\/k) assuming k is positive.\nAnswer: k**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 1, -1\/4, 2\/65, 3 in decreasing order.\nAnswer: 3, 1, 2\/65, -1\/4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -8. Suppose m*d - 2*d + a = 12, 8 = 2*d - a. Solve -d*j = 4*t + t - 40, 0 = 4*t - 16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfttqattcfctfft. What is prob of picking 1 a and 2 f?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1d9a2d (base 15) to base 2\nAnswer: -101100010000010111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -298.6 times -0.2?\nAnswer: 59.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33762 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/80)\/(35\/(-140)*12\/15).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114 and 25878.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 + 0. Let q = z + -47. Suppose -4*p + 3*h + 14 = -8, -3*h + 6 = 3*p. Solve -2*s + 4*s - p = -2*a, 3*s - 2*a = -q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13390, -13454, -13518, -13582, -13646, -13710?\n\"Answer: -64*u - 13326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 110574 - 52801. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 + -101110111010100011111?\nAnswer: -101110111010100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a hour in minutes?\nAnswer: 2070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 69.4 in 1875, -0.3, -3\/2, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3336 and 3714?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -1. Let k(o) = 3*o + o**2 - j*o**2 - 2*o - 2*o. Let z = -1 - -4. Let p(x) = 2*x**2 + x. Calculate z*k(a) + p(a).\nAnswer: -a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 5*x - 41, -4*u + 5*x + 71 = -3*u. What is the highest common divisor of 98 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -2. Let b = -0.07 - 0.23. Let g = -0.2 - b. What is the nearest to g in -2\/3, -4, a?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (258\/(-105))\/43*10*3\/(-12)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j. Let g(d) = 18*d + 1. Let a(m) = 2*m. Let l(x) = -5*a(x) + g(x). Calculate l(y(s)).\nAnswer: -24*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1533832, 3067665, 4601498, 6135331, 7669164?\nAnswer: 9202997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -0.05, 2\/7, -0.033, 0.3, 4?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**3\/3 + 7*s**2 + s - 3. Let n = 30 - 18. Is 25 a factor of k(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 84400446 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.71 - -8.61. Let l = 103 - 99. Is l less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, m: 4, f: 5}. What is prob of picking 3 m and 1 f?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d = -2*d - 28. Suppose d*m = 5*u + m - 60, 4*m = -3*u + 36. What is the smallest common multiple of u and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208272744 divided by -69424248.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -40.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 times -0.1?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -454 > -455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61 + 112. Suppose o = g - 84. What is the highest common factor of g and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h + 8 = 0. Let l(q) = 5*q - 10. Let s be l(4). Let n(f) = -f**3 + 4*f**2 + f - 1. Let m be n(4). Solve -2*v = m*v - 2*c + 15, 0 = -h*c - s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-42)*(p\/p**(-17))\/p)\/(p*p\/p**(-3\/7)*p**(-5)) assuming p is positive.\nAnswer: p**(-157\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q**(-1\/4)\/q)*q)**(11\/5) assuming q is positive.\nAnswer: q**(187\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l**2 - 5*l + 3. What are the prime factors of q(3)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 - 901877*x\/2 - 450938.\nAnswer: -(x + 1)*(x + 901876)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.1 (b) 3 (c) -24658\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2323, -2316, -2309?\nAnswer: -2302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (((3*sqrt(325))**2 - sqrt(325))*-6 - (-3*(3*sqrt(325) + sqrt(325)) + sqrt(325))**2 - (sqrt(325) + -3*sqrt(325) + -3 - (-4*sqrt(325)*-3)**2)))*-1.\nAnswer: -40*sqrt(13) + 10077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3185 = -771*b - 14246 - 8985 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24*16\/(-32) - -20. Solve 862 = -b*d + 870 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-5) + (-16)\/(-10). Let g(n) = -9*n - 125*n**2 - 61*n**2 - 22*n**y + 10 + 17*n**2. Let m be g(-10). What is m rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 12:34 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 755609404 divided by 125851.\nAnswer: 6004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 290 * -0.1\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 - 2*(-10)\/(-96) and ((-343)\/(-168))\/(-7*(-15)\/140).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*y**3 - y**3 - y - 7*y**2 + y**3 - 7*y**3 to the form v*y + m*y**2 + i + j*y**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -56*n**2 - n - 2. Let k(g) = g**2 + 1. Let q(b) = -2*k(b) - u(b). Suppose -m = -0*m + 1. Is q(m) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32919\/16 - -2056. Calculate the common denominator of z and 19\/84.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1583629, -2, -9 in descending order.\nAnswer: 1583629, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63260011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47 + 75 - 16) + (-224)\/18?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12764 + 0*m - 12764 + m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -33. Suppose -5*j + 15 = -0*j. Calculate the remainder when 8*(j - 12\/(-8)) is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 851*q + 9376. Give s(-11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -269170, -538390, -807644, -1076932, -1346254, -1615610, -1885000?\n\"Answer: -17*t**2 - 269169*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 531.3647 centuries?\nAnswer: 53136.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 2*z + 7 - 6. Suppose -2*n + 4 = 3*d, 0 = -5*n + 4*d - d - 11. Determine l(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -554 + 1103 + 279*h - 547 + (-1 + 3 - 3)*(-2*h + 0 + 0) to the form g*h + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 382824 and 886712.\nAnswer: 3272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44380441 is divided by 8876085.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 133\/4. Let v be 22\/10 + -1 + -2. Let j = 0.10511 + 3.89489. Which is the second biggest value? (a) j (b) v (c) f (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1972462 by 986231.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 13) to base 12.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 6:03 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*k - 15. Let s(x) = 3*x + 5. Let f be s(6). Let u = f - k. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/20 of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5 - 352*j**4 + 2722*j**3 + 10288*j**2 + 10997*j + 3784.\nAnswer: (j - 344)*(j - 11)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20153, 20353, 20679, 21125, 21685, 22353, 23123, 23989?\nAnswer: 24945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1228 - 2174 = 0. Is t a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2245 + 0.5?\nAnswer: -1.7245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 127 and 1016.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 7*o - 19. Let p be a(9). Suppose 2*z = 3*b + 69, 7*z + 2*b - p = 2*z. Suppose -z = 2*y - 5*y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -69*c*d**3*w**2 - 6*c*w**2 + 16*d**3 + 53*d*w**2 wrt c?\nAnswer: -69*d**3*w**2 - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -u + 1. Suppose -u*k - 3 = 255. What is k rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 0.3, 3, 1.7, -0.111?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -15, -3, -10 in ascending order.\nAnswer: -15, -10, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**5 + 9*o**4 + 3*o**3 - 9*o**2 - 6*o.\nAnswer: 3*o*(o - 1)*(o + 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/(-54)*(2070\/75)\/23*106\/(-4).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 15*r + 5. Let j(d) = 5*d + 1. What is h(c) - j(c)?\nAnswer: 10*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/sqrt(144) - (sqrt(30)\/sqrt(2))\/sqrt(5).\nAnswer: -3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 111143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w**3 - 11*w**2 - 4*w + 3. Let t(g) = g**3 - 2*g**2 - g + 1. Give -2*o(f) + 9*t(f).\nAnswer: f**3 + 4*f**2 - f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/3)*q)**(1\/44)*(q\/q**(-2\/3))**36)**(-1\/27) assuming q is positive.\nAnswer: q**(-3961\/1782)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 6 + -4 + 6 + 6 + -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -177, -361, -541, -717, -889?\n\"Answer: 2*b**2 - 190*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - (-14 + 40) - 9) + (3 - -15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/88514?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - 23 + 13 - 7*b**2 + 2*b**3 + 6 to the form l + y*b + h*b**3 + o*b**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*r - 2*d, -4*r - 92*d + 90*d + 16 = 0. Solve -5*y + 9*y - r*m + 32 = 0, -5*m = -20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1055 + 6904. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or -25?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*((-180)\/(-96))\/15\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + x - 58 = 255, -642 = -2*q + 2*x. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 1. Let x be c(2). Let m be (9\/(-12)*(-36)\/(-171))\/(-57). Does x = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 57*i**2. Let q(l) = -l**2. Give p(q(a)).\nAnswer: 57*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 171 - 172. Let l(a) = a. Let f(g) = g**2 - 3*g - 1. Give t*f(n) - 3*l(n).\nAnswer: -n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (71 + 421 - 2669 + 62 - 3603)*(-5*y + 3*y + 6*y) in the form u*y + m and give u.\nAnswer: -22872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*w - 42*w - 4696. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*b**7*b)\/b*b))\/(b**(6\/13)\/b) assuming b is positive.\nAnswer: b**(-97\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (756 - 756 + 42*i**3)*(0*i + i**2 + 0*i + 2*i**2 - 2 + 2 + (0*i + 0*i - i)*(2*i - 3*i + 2*i) + i - i + 2*i**2)*(3 + 3 - 1).\nAnswer: 840*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**13*f)\/(f\/(f**(-15)*f*f)*f)*(f*f**11)\/(f**(1\/8)*f*f) assuming f is positive.\nAnswer: f**(-129\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 4:03 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 7*x - 4. Suppose 3*v + 3 = 0, -3*v + 9 = -2*y - 0*v. Let g be o(y). Suppose -9 = -g*q + m + 9, q - 27 = -4*m. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 19*t. Let j(l) = -14*l + 24*l - 11*l. What is n(j(h))?\nAnswer: -19*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/4)*a\/(a**(2\/9)*a*a)*(a*a**(-1\/10)*a)\/(a*a**0)*(a**(1\/8)*a**(-1\/5))**15 assuming a is positive.\nAnswer: a**(-431\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -5) + -8 + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -10*y**2 - 2844880*y + 2844880*y. Let z(w) = -3*w - 18. Let t(r) = -1. Suppose 3*a = -a + 4. Let m(i) = a*z(i) - 18*t(i). Give m(h(v)).\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -45, -58, -71?\n\"Answer: -13*c - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, v: 3, n: 1, g: 1}. Give prob of picking 1 v and 2 r.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363563543?\nAnswer: 7, 51937649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1878.\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 8. Does -4 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 99 + -1087\/11. Suppose 0 = o - 0 - 2. Let y be (-4 + o)\/2*0. What is the nearest to 1 in -3\/4, g, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29398843?\nAnswer: 163, 180361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/3 - 154048*p**2\/3 + 2104202*p.\nAnswer: 2*p*(p - 76983)*(p - 41)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 3*d**3 - 9784. Let h(v) = -1141*v**2. Give m(h(n)).\nAnswer: 11716929*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -127, -86, 13, 194?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + d4a?\nAnswer: d48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.6947518 + 0.0898538. Let r = 0.595026 - u. Let f = 2.2 - r. Round f to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 1 + 8 = 2*g, -3*w + 5*g = 22. Let n be (-6)\/3 + w + 1. Factor -1\/3*a**2 + n*a + 0.\nAnswer: -a**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 216955?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = -13*j + 9. Suppose 5*f - 38 = -4*k, 7*k - 4*k - 18 = -2*f. What is the remainder when f is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d - 4 + 0 + 5 + (d - 2 + 2)*(41 + 80 - 85) + 6*d - 3*d - 4*d + (1 - 1 + 2)*(2*d - d - 3*d) to the form v*d + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3745 and 2384495?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-13)*q\/(q*q\/(q\/q**36)*q))\/(q\/(q\/(q\/q**(-2\/55)*q*q)))**(-10\/11))**(-2\/37) assuming q is positive.\nAnswer: q**(11432\/4477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/6)\/((-8)\/12). Suppose -4*v - d*r = -12, -3*v + v - 4*r + 12 = 0. Solve -4*w = o + 17, v*w = o + 3*w + 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 50\/(-4)*8\/10. Let r be (-6)\/b + 694\/10. Let n = r + -6. Round n to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by (4 - 5\/((-15)\/(-384)))*4\/(-16)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -9*t**5 - 10*t - 165\/4*t**4 + 5 - 185\/3*t**3 - 75\/2*t**2. Determine v so that l(v) = 0.\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9 = -0*m. What is the highest common factor of 9 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 228966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2812706*g. Let s(u) = 2*u**2. Give s(p(r)).\nAnswer: 15822630084872*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 4211554240?\nAnswer: -4211554250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 24*n + 22*n - 47*n - 6. Calculate p(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + i = -9 - 1, -u + 5*i + 2 = 0. What is the remainder when 46 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1 = -2. What is the units digit of (j\/2)\/(2\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 343 (base 5) to base 14\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 127*l**4 + 14*l**2 - 123*l**4 + 5*l**2 + 603*l wrt l.\nAnswer: 48*l**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + j - 1. Let m be i(1). Let u be 1*m\/(-9)*(-2 - -6). What is the closest to 2\/5 in u, 0.2, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-7 + 4)) + ((-14)\/(-14))\/((-6)\/78)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 1. Let d = x + 16. Let j = d + 5. Let o(p) = -p**2 + 2*p - 2. What is o(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/373?\nAnswer: -3\/373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 519*g - 68*g**2 + 8*g**2 - 2*g**3 + 31*g**2 + 29*g**2.\nAnswer: -2*g**3 + 519*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83773041 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1184 + 2503 + 3198 = 459*v for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.12991\nAnswer: 0.51964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 1, 4, -23.\nAnswer: -23, 1, 4, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344 = 2*c - 1392. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 - 2*v**2 + 3*v**2)*(8*v + 1 + 8*v - 17*v + (2 - 3 - 1)*(-2*v + 6*v - 3*v) + 0 + 0 - v + 0*v + v - 3*v).\nAnswer: 6*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/42*(2 + -1 + 2). Solve n*g + r - 2 = 0, g + 5*r - 15 = r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/6, 20, 2\/21, 5, -87\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + v - 6. Let b = -4953 - -9062. Suppose 5*u = v*q - b, q + 3*u - 2053 = 5*u. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 3*m - 8*m + 11, -5*d + m = -81. Let i(h) = h**2 - 21*h + 85. Let r be i(d). Solve -r*z - 2*z - 35 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 564, 563, 538, 477, 368, 199?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 5. Which is bigger: u or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 i when three letters picked without replacement from bolblbilblttllll?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 54, 60, 62, 54, 30?\n\"Answer: -g**3 + 4*g**2 + g + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -8. Suppose j*l = 6*l. Which is smaller: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1\/j)**(-11))**20 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 162620127 + -5?\nAnswer: 162620122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 48 = 2*d. Let h(o) be the first derivative of o**4\/4 + 10*o**3\/3 + o**2\/2 + 30*o - 4. Calculate the smallest common multiple of h(-10) and d.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-10))\/((-1)\/3). Let i = -68 - -68.1. Which is the nearest to i? (a) m (b) -0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1\/898 (b) 2\/9 (c) -13 (d) 5 (e) -1 (f) -1\/5 (g) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g - 1. Let v(j) = 5*j - 6. Let p(s) = 2*o(s) - v(s). What are the prime factors of p(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209073 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -21*y**4 + 25*y**3 + 45*y**2 - 69*y - 17. Let f(a) = -5*a**4 + 6*a**3 + 11*a**2 - 16*a - 4. Let d(m) = 12*c(m) - 51*f(m). Factor d(n).\nAnswer: 3*n*(n - 4)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3. Let l(j) = -2 + 4*j - j + 4 + j**2 + 2*j. Let o be l(-5). Solve o*r = -0*m + 5*m - 5, -2*r = g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104.9 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18513 and 8551.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -16 + 0 + -11 + 23. Let b(i) = -6*i + 1. Let y(p) = -11*p - 1. Let n(j) = -1. Let g(k) = -2*n(k) + y(k). Calculate v*g(u) + 7*b(u).\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**2 + 11*g + 37. Calculate the smallest common multiple of m(-2) and 21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-336)\/(-72) + (-4)\/(-3). Suppose 9*k - v*k + 4311 = 3*h, 3*h + 5*k = 4279. List the prime factors of h.\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*m**3 + 19*m + 10*m**2 + 28\/3.\nAnswer: (m + 1)**2*(m + 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**2 + 16*h - 7. Let z(y) = -y**2 + 5*y - 2. Let b(r) = -4*s(r) + 14*z(r). Factor b(i).\nAnswer: -2*i*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15769611967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2 - 53*w + 2568. What is the thousands digit of u(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12d74 (base 14) to base 11\nAnswer: 31a82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 3 - 3)*(4*u - 9*u - 4*u) + 71*u - 144*u + 75*u - 15*u**2.\nAnswer: -6*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 7 = -2*o - 11*a, 3*o + 12 = -5*a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/171768 and 19\/4294200?\nAnswer: 4294200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b + 13. Let p be a(-7). Let n = 9 - p. Suppose -n*v + 5802 = -4*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -218 by -109.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2\/7 - 106174408*j\/7 - 424697568\/7.\nAnswer: -4*(j + 4)*(j + 26543598)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 2190*t + 361875. Calculate a(-180).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1545579, -3091157, -4636733, -6182307, -7727879, -9273449, -10819017?\n\"Answer: b**2 - 1545581*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = h - 10*t + 6*t, -2*t = -5*h + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(36)\/(sqrt(2) + sqrt(18)) + -2)**2.\nAnswer: 9*sqrt(2) + 113\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijir when four letters picked without replacement from {j: 7, i: 3, r: 2, h: 3}?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -290276, -290308, -290340, -290372, -290404?\nAnswer: -290436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from movjjovomjjjj. What is prob of picking 3 j?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5\/(c\/(c**(-3)*c)))\/(c\/(c**1\/c*c))**34 assuming c is positive.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-23)*743015\/110760.\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 5*y = -24, y - 2*y = -4*g - 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 9*y = 10*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eimeefeom. Give prob of sequence ieoe.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 35 = 5*m, -17*m + 14*m - 2*t = 22 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2695584.\nAnswer: 2, 3, 43, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -101100111000010001 (base 2) to base 12\nAnswer: -8a469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h + 2*h**2 - 7*h + 0*h**2 - h - 7*h.\nAnswer: 2*h**2 - 23*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -3325, -2 in ascending order.\nAnswer: -3325, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 4. Let n be l(-3). Calculate the greatest common factor of 11 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113060757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5348530 divided by 1069706.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 13116*w - 524603. Give a(40).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -118\/1013 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -9503, 1.8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((4 - 1) + -2547)*(-44)\/16?\nAnswer: 2, 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 4*i - 4595. Let a(l) = l**2. Give w(a(r)).\nAnswer: -r**4 + 4*r**2 - 4595","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -20*f + 7*f - 4*f. Let b(y) = y. What is b(g(h))?\nAnswer: -17*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 331069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*f - 24*f - 4. Is ((-3)\/f)\/(144\/51 - 3) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**4\/24 + t**3\/6 - 3*t**2. Let b be m(1). Is 0 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/6))**(-1\/24) assuming x is positive.\nAnswer: x**(-1\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 7 = i + 3, 3*k - 6 = -3*i. Let c = 1\/1248 - 659\/43680. Is c bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*t - 5 = -2*t, -2*y + 3*t = -9. Suppose -f - c = -0*f, y*f - 25 = 2*c. Let w = -957 - -982. Solve 4*z - f = -w for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 1:55 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 180 = 5*r, 0*m + 126 = 3*m + 3*r. Calculate the remainder when 271 is divided by m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 11. Let y = v + 4. Let o(d) = 7*d**2. Is o(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57520.\nAnswer: 2, 5, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21548*k**5 + 7*k**4 + k**3 - 537*k**2 + 2889.\nAnswer: 1292880*k**2 + 168*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -410*t**4 + 2*t**3 + 437*t.\nAnswer: -4920*t**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 7*u + 737 = -5*u, -3*u + 584 = 4*k. Let x = 203 - k. What is the smallest common multiple of x and 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-8)*(-38)\/95)\/((-957)\/(-116))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + p - 0 + 5, 0 = -4*m + 3*p - 23. What is the closest to 9\/5 in m, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 345476029 or 1?\nAnswer: 345476029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.9 - -15. Let g = -2.9 - n. Let d = -4 + 0. Which is the third biggest value? (a) d (b) g (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and -3500.\nAnswer: -2800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-124)\/168 + 8\/48)*-7. Let t be (-4)\/((-4)\/(0 + 2)). Suppose b*a + 8 = -3*w, t*w = -a - a - 2. Let j(s) = -s - 4. Give j(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 206*o + 22. Let u(g) = 99*g + 10. Calculate -6*q(m) + 13*u(m).\nAnswer: 51*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18958457*w**4 + 1422*w**2 + 1589 wrt w?\nAnswer: -455002968*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 31579.\nAnswer: -4\/31579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 33?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -106981 - -159508637\/1491. Calculate the common denominator of -77\/141 and c.\nAnswer: 70077","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -38563*s. Let c(n) = 209*n**2 - 5. Determine c(l(q)).\nAnswer: 310804938521*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 57, 81, 121, 177, 249, 337, 441?\n\"Answer: 8*l**2 + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/9198280 and -67\/2940.\nAnswer: 27594840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 10*s + 2. Let h be t(-10). Is 13 a factor of 0 + 2 - (-48)\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40102 (base 5) in base 16?\nAnswer: -9df","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 21*n**3 - 5*n**2 + 13. Let q(v) = 5*v**3 - v**2 + 3. Calculate -9*q(l) + 2*y(l).\nAnswer: -3*l**3 - l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from {w: 1, e: 1, y: 1, v: 1, s: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**2*n**3 + 2*l**2*n**2 + 113*l**2 + 3*l*n**3 - 2*l*n**2 - 646*n**3 - n**2 wrt l?\nAnswer: 2*n**3 + 4*n**2 + 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/2*1)\/(-30 + 28). Suppose -1 = i*k - 9. Differentiate -3 - k - 3 + p**2 wrt p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 377 - 427 - (-79 - -1).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 700 = -4*t. Suppose -t + 31 = 6*c. What is the units digit of (-12)\/16 - 1362\/c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j - 6*j + 6*j**2 + j - 4*j**2 + 3. Let b be f(5). Let i(g) = -3 + g - 2*g + 6. What is i(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 4\/3*h**2 + 0 + 11\/3*h**3 + 0*h + 4\/3*h**5 - 19\/3*h**4 = 0.\nAnswer: -1\/4, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-20) - ((-3036)\/55)\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 0.21\nAnswer: -0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 5*f. Suppose -3*g + 5 - 20 = 0. Let y be o(g). Suppose 15 = -y*i + 5*i, -4*k + 3*i = -319. List the prime factors of k.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -2 in decreasing order.\nAnswer: 6, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2 + 13*c - 114. Is a(-21) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -945857, -1892294, -2838729, -3785162, -4731593?\nAnswer: -5678022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*q + 341837 = c - 77*q, c + 2*q = 341829. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0753 - -0.0752103. What is a rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-326)\/(-10) + 189\/540*44 + -15.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 + 2*r**2 - 4*r**2 + (-3*r + 3*r + 2*r)*(r - 2 + 2) - 21*r**2 + 19*r**2 - 1 + 3 as x*r**2 + q*r + h and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*v - 3*p, -29 = 4*v - 7*v + 2*p. Suppose v = -26*m + 27*m. Find the third derivative of -y**6 + m*y**2 + 29*y**2 + 25*y**6 + 4*y**6 wrt y.\nAnswer: 3360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 272\/3, -0.2, -962 in descending order.\nAnswer: 272\/3, -0.2, -962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -801 divided by 3\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o + 2*c - 2910, -4*o - 2*c + 2330 = 0. Let g be 50\/(0 + -2)*o. Round g to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 2*q**2 - 2*q - 9 + 25 - 3*q**3 - q**4 - 9 in the form r*q + p*q**2 + u*q**4 + c + w*q**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/450)\/((-2)\/(-9))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -846*g - 687*g + 89447 = -4066 for g.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**5 + 150*v**4 - 830*v**3 - 33020*v**2 + 102465*v - 68770 = 0. What is v?\nAnswer: -23, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*l**2 - 2*l**2 + 11*l**2 - 4*l**3 wrt l.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 183*z**3 + 56*z**2 + z + 16. Let w(b) = 183*b**3 + 55*b**2 + b + 12. Let x(a) = 3*p(a) - 4*w(a). What is the third derivative of x(y) wrt y?\nAnswer: -1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 + 4*n**2 + 4*n - 3. Let s(f) = -7*f**3 - 11*f**2 - 10*f + 11. What is -3*s(o) - 8*w(o)?\nAnswer: 5*o**3 + o**2 - 2*o - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3384 divided by 1128?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1495088 is divided by 21358.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -94, 0.01, 4\/7, -4, -872?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7616\/4704*(-42)\/4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 4\/5, -5, -2\/71, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 + 0.65. Let d = g + 4.95. Let q = -0.3 + 0.2. What is the closest to q in d, -1\/4, -0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/31519373 and 16\/9?\nAnswer: 283674357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 2. Let b be (0\/(-1))\/5 - (-1)\/5*-1. Sort b, x, -0.1 in decreasing order.\nAnswer: -0.1, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266958.\nAnswer: 2, 3, 14831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.3 + 2.7. Let n = -34.5 + f. Let t = 13 + n. What is the second biggest value in -0.4, t, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**5\/10 - l**4\/4 + l**3\/3 - 3*l**2\/2 + 2*l. Let z(a) = a**3 + 6*a**2 + a + 3. Let n be z(-6). Is t(n) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 29 = 4*d, 77*x + 28 = d + 88*x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9357256*c - 187279874.\nAnswer: -9357256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3)\/t)\/((t*t**(-1\/15))\/t))**(2\/41) assuming t is positive.\nAnswer: t**(-118\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 228, 245, 272, 309, 356, 413, 480?\nAnswer: 557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 10 = -14. Suppose -13 = 2*z - 5*d + 2*d, 5*d = -a*z + 29. Let c be (0 - z)\/(105\/(3\/3)). Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 1. Let s(g) = 28*g - 84. Let h(q) = -84*i(q) - s(q). Let u be h(1). Factor -u*n + 61 + 127 + 4*n**2 + 8.\nAnswer: 4*(n - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**4\/12 + 2*j**3\/3 - 9*j. Let p(k) be the first derivative of -k**3\/3 + 3*k**2\/2 + 2. Give -3*p(a) + 2*v(a).\nAnswer: a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-3*(sqrt(1728) + -2) - sqrt(1728) - (sqrt(1728) + sqrt(1728) + sqrt(1728)*-1*5)) + 1 + sqrt(1728)*-3 + 2)**2.\nAnswer: -55458 + 3456*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18730, -24911, -31086, -37255, -43418, -49575?\nAnswer: -55726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 317083 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -74763.8 and 2?\nAnswer: 74765.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 280979370 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 7*p**2 + 5*p + 6. Let k be j(6). Let u(x) = -3*x. Let s be u(-1). Let t be s\/2*(-24)\/36. Sort -2, k, t in ascending order.\nAnswer: -2, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 3*i - 0. Let c be (-4)\/(-42) + 180445\/3171. Calculate the highest common divisor of c and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 872 + -276. Let t = 596 - k. Solve -7 = -3*j - q, -4*j + 0*q + 5*q + 22 = t for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4256491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3876023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 540404 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 42260 divided by 5\nAnswer: 8452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 75*f**5 + 1596060*f**4 - 5108088*f**3 + 1532640*f**2 + 4086576*f + 1021632 = 0.\nAnswer: -21284, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j. Suppose 4*l + 14 = 2*g, -3*g - 4*l = l + 1. Let q(o) = -3 - 2*o**2 - 6*o + 90*o**g - 88*o**3 + 2*o**2. Determine -6*h(y) + q(y).\nAnswer: 2*y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 39*l + 7. Calculate r(-35).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*h**3 + 4*h + 50*h**3 + 7*h**2 + 134*h**2 - 3*h.\nAnswer: -5*h**3 + 141*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 4*o = 12. What is the second biggest value in -1, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1151 * 3.\nAnswer: 3453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 87*q**2 - 149*q + 1890. Is 21 a factor of p(85)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.24893 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**4\/12 + 16*r**2. Let h(j) = -8*j. Determine h(q(o)).\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 - 11*o - 20*o - o**2 + 0*o as p + j*o**2 + n*o and give n.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42*5\/(-420)*-26.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 52 = 3*p + 147, 0 = p. Let c(l) = -34*l**3 - 2*l - 1. Calculate the remainder when c(-1) is divided by (0 - m) + 1 + -2.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c - 29. Let k be f(15). Let a = k - 32. Sort a, -2, -5 in descending order.\nAnswer: a, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6015*f + 870*f + 3333*f.\nAnswer: 10218*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*u - 5*h - 2, 4 = -5*u - 4*h. Which is the smallest value? (a) 4 (b) u (c) -0.017\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-10)*1*5\/(-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b**2 - 3*b + 1440. Is x(0) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4d9 - -17?\nAnswer: -4c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -557 - 1024 = -l - 50*l. What is the remainder when 182 is divided by l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (75\/(-625))\/((-25)\/625). Put -4, 5, -585, w in decreasing order.\nAnswer: 5, w, -4, -585","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4418178027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**3 + 30*p**2 - 2*p + 4. Calculate i(-15).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2479200 rounded to the nearest 10000?\nAnswer: -2480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*p - 16, 2*p = -5*o + o - 4. Let y be 2\/p - 3\/(-9). Let w = 13 - y. Calculate the highest common factor of 65 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -138 - -2547?\nAnswer: 240c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -293536, -293530, -293502, -293440, -293332, -293166, -292930, -292612?\nAnswer: -292200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -2 + sqrt(18)\/sqrt(6) - ((sqrt(108) + sqrt(3))*-5 - (0 + sqrt(300)))) + 5)**2.\nAnswer: 460*sqrt(3) + 6373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 2*z + 10, -15*p - 16*z + 8 - 20 = -18*z + 51 + 46 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.62 in 5\/6, 0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130363 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2)\/b**12)**47\/((b**8*b)\/b*b*b**(-1\/8))**(-32) assuming b is positive.\nAnswer: b**(-513\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f + 89c4?\nAnswer: 89f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*p**3*v**2 + 2*p**3*v + 10011134*p**3 + 1397*v**2 with respect to v.\nAnswer: -44*p**3*v + 2*p**3 + 2794*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18148*i - 10517*i + 15796*i to the form s*i + h and give s.\nAnswer: 23427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 18*z**2 + 485*z - 90. What is t(-27)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1857943*h**3 + 334*h**2 + h - 205.\nAnswer: -11147658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/4, 1\/7, 0.2, -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 202398 - 129785. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(156) - (sqrt(156) - -4*1*sqrt(156))) + sqrt(156))\/(sqrt(12) - (sqrt(12) - sqrt(36)\/sqrt(3))*4).\nAnswer: -3*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + u + 1. Let k(d) = 2*d**2 - 25*d - 14. Let x be k(13). Let l(p) = -2*p**3 + 5*p**2 + 4*p + 4. What is x*l(v) + 4*s(v)?\nAnswer: 2*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13628.3812 less than 0.2?\nAnswer: 13628.5812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 12 = j + 3*j, 0 = 2*z. Suppose -j*n = -2*k - 11, -k = 3*k + 3*n - 23. Find r, given that 64*r**2 - 35*r**k - r**3 - 29*r**2 - r**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 11, 1\/4, 10171, -10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344876928 divided by 86219232.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000059735591 rounded to 7 dps?\nAnswer: -0.0000597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38476969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from ddndnddddd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-14) - (-6)\/(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 211364 times -0.625\nAnswer: -132102.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 3*w + 20. Let z = 12 - w. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3 + ((sqrt(275) + 1 - sqrt(275))*4 - sqrt(275)) + -4))**2.\nAnswer: -120*sqrt(11) + 1136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 13*i**2 - 42*i + 23. Give t(-16).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 5*m + 3*m)*(-1 + 3 - 3) + 5*m - 9*m + 3*m + 3 + 2*m - 3 + (-5*m + 2*m + 5*m)*(-4 + 3 + 2) - 7 + m + 7.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*v + 22. Suppose 4*k - 2*k = 5*b - 446, -276 = -3*b + v*k. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/15 - 269792*l**2\/15 + 539566*l\/5 - 161868.\nAnswer: 2*(l - 134890)*(l - 3)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 10*h + 3. Let f be x(10). Factor -20*g - 4*g**f + 0*g**3 + 20*g - 4*g**2.\nAnswer: -4*g**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/4)\/c)\/c)\/(c*c**(-14)) assuming c is positive.\nAnswer: c**(43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 695*w**2 - 41*w - 729. Is g(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ak when two letters picked without replacement from nkkkqnzmnnkzzznza.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -41*k + 42*k - 5*j, 10 = 5*k - 3*j. Let o = -59 + 58.9. What is the biggest value in o, k, 0.04?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*w**3 + 0*w**2 + 2*w**4 + 7*w**3 + 17*w**3 - w**2 + 5 + 25*w**3 to x*w + n + l*w**4 + r*w**2 + i*w**3 and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - 2*b - 66 + 32 in the form y + x*b and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 300?\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 13*d - 8. Let l be v(-12). Which is the nearest to 2.9? (a) l (b) 3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3. Let o(i) = 441*i**3. Calculate 84*b(h) - o(h).\nAnswer: -357*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -733, 279, -3 in increasing order.\nAnswer: -733, -3, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -29296, 0.1, 0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 254.63 + -259.63. Suppose 2*l = -48 + 158. Put l, 3, -4, q in descending order.\nAnswer: l, 3, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (100\/(-125))\/(2\/10) - -80300. Suppose -505*u - h = -513*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -557*c - 3*p = -556*c - 10164, -2*c = -p - 20377. Is 35 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 + 2 + (-5 - -9). Suppose d = 3*x + 67 - 241. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -10*z**3 - 5*z**2 - 2*z + 2. Let m(q) = 20*q**3 + 11*q**2 + 5*q - 5. Give 2*m(d) + 5*t(d).\nAnswer: -10*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 3. Let d = 33 - y. Suppose -d = -4*s + 75. Solve 5*q = -1 + s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 15*a**2 + 10*a - 12. Suppose -3*z = -j + z - 10, 5*z = -j + 17. Suppose m - j*m - 14 = 0. Is 11 a factor of o(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(7344)*5)\/(-3*sqrt(48) - (sqrt(15)\/(sqrt(45)\/sqrt(9) + sqrt(5)) + sqrt(3))).\nAnswer: 160*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -14*c**3 - c**2 + c + 1. Let s be m(-1). What is the greatest common divisor of s and 78?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-4))\/(n**(1\/10)*n*n*n))\/((n*n**(-2\/3))\/n**(-10)) assuming n is positive.\nAnswer: n**(-493\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4*v + 4*x + 31, -x - 4 = 0. Let f be (-4)\/(2\/(v + 5)). Let j(a) = 2*a**2 - a - 2. Does 14 divide j(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-16 + -9 - 4)) + -4 + -1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrxxirxiririrraaari. What is prob of sequence rii?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.628 + 8329794.3201.\nAnswer: 8329793.6921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-4) - (-17)\/4. Let t = 5981 - 5978. Suppose -t*w - 5918 = -4*f, -8 + 0 = -y*f. What is w rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4395.334 rounded to the nearest 100?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a + 3*a - 3 - a + a**2. Let v be 192\/(-20) + (-3)\/(-5). Let x = v + 9. Calculate m(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -29. Let x(b) = 14*b + 0*b - 4*b - 12*b + 5*b. What is x(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1825657 divided by -25009\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 5. Let g = z + -1. What is the third derivative of -2*s**5 + 2*s**5 - 3*s**2 - g*s**5 + 0*s**5 wrt s?\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11488774 is divided by 301.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + 0 - sqrt(2))**2*2*-3.\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 2:10 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4033204312 + -4?\nAnswer: 4033204303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.39 and -62731?\nAnswer: 62730.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*o - 18*o + 40*o = -6*q + 196, 4*o = 12*q + 2*o - 62 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 b when three letters picked without replacement from mgmmbggghibz?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/3 + -9 - -9 - -625 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 20*r - 90 - 24*r + 90. Let k(f) = -5*f + 49. Give k(j(m)).\nAnswer: 20*m + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.444438 - -1.32?\nAnswer: -4.124438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + 3*(sqrt(2448) - (-2*sqrt(2448) + sqrt(2448) + sqrt(2448))**2) + 5 + 3 + 2 + 1.\nAnswer: 12 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 1.4, -52?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -243 (base 6) to base 5.\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-6) - (6 - 0)*-1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -1\/270*g**5 + 0*g**3 + 0*g - 49\/108*g**4 + 164*g**2 + 0. Find n such that r(n) = 0.\nAnswer: -49, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**3 - 5*p**3 + 3*p**3)*(0*p - p + 3*p) + 45*p**3 - 45*p**3 - 8*p**4.\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 71 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + (-40 - (20 - 30)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-22)*u\/u**(2\/51) assuming u is positive.\nAnswer: u**(1222\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -96085750 to the nearest one million.\nAnswer: -96000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - p**2 + 1. Let f be g(1). Let c(i) = -f + i**2 + 1. Let d(s) = 0*s + 2*s - 3*s. What is c(d(m))?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1987*g + 2517 + 7247 = 729*g + 110256 for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q\/q**(1\/6))\/q*q)*q\/(q**(-2)\/q))\/(q*q**(-2\/11)*q*q**8))**21 assuming q is positive.\nAnswer: q**(-2611\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 5*o + 4. Let l(j) = -j - 6. Let h be l(o). Let x = 2370\/7 + -338. Is x at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*m - 23*m + 4*v = 49, 128*m + 30 = 125*m - 3*v + 63 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 4*i + 12, 0 = y - 5*y + 3*i + 23 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-52) - 126\/(-26). Solve -r*b - 9 = 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y - 3*y + y**2 + 16*y**3 - 9*y**3 + 0*y - y**4 to the form t*y**3 + s + u*y**2 + a*y**4 + j*y and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168803157*d**2 - 3214 - 168803130*d**2 + 3214.\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 7, 2 in increasing order.\nAnswer: 1, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/10)\/x*x*x**6*x*x)\/((x*x*x**(3\/5))\/x*x**8*x*x) assuming x is positive.\nAnswer: x**(-39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*t)*(7*t + 1 - 12 + 7).\nAnswer: 21*t**2 - 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + h - 51*h**2 - 54*h**2 + 107*h**2 to the form z*h**2 + w + g*h and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/10, 12\/7, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/12 and 101\/632638.\nAnswer: 3795828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82342 is divided by 41166.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47.49 - 48.13028. Let n = o - -0.605259. Let c = n + 0.035. Round c to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 335 and 492815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89536 is divided by 391.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*o - 6*m + 400, 272 = -3*o - 4*m. Let j = -15 - o. Does 27 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 - 1)*(85 + 132 - 21) - 1 - 2 + 2)*(0 + a + 0).\nAnswer: -785*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-2))\/(8\/12 - 1). Let l = -1 + 3. Let n be (l\/4)\/(2\/4). Solve -q*f = -2*f - n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19, 85, 195, 349?\n\"Answer: 22*d**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -298 - -293. Sort 2, w, 4 in decreasing order.\nAnswer: 4, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 1270 - 70. Let b = 384 - u. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (189\/(-154)*(-4)\/(-3))\/(519\/3806).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 185*d - 7392. What is x(40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 1. Let f(j) = 0*j**2 + 3 + 11*j + 4*j**3 - 9*j + j**2 + j**2 + 3*j. Give f(k) - 3*u(k).\nAnswer: 4*k**3 + 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = 74*q - 66180. List the prime factors of q.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 13*g - 27. Let n(i) = 2*i**3 + 11*i**2 + 2*i - 5. Let w be n(-5). Let a be v(w). Solve -b = a*b - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**3\/3 - 6*d**2 + 26*d + 19. What are the prime factors of r(15)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12576 divided by -6.\nAnswer: -2096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 - 55. Let h(u) = -3*u**3 - 4*u**2 + 4*u. Let g(s) = -56*s**3 - 77*s**2 + 77*s. What is c*g(m) - 77*h(m)?\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3218570 (base 12) in base 3?\nAnswer: 122212012011210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6*n**2 + 2*n + 1. Let d(y) be the third derivative of -y**5\/60 - y**3\/6 + 647*y**2. What is -4*d(f) - r(f)?\nAnswer: -2*f**2 - 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-69650)\/(-5970)*(1 - 2\/(-10)). Solve -q = 2*c - k, 0 = q - c - 11 + 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + -1*sqrt(833).\nAnswer: -7*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-42) + 11 + (-310)\/30. What is the second smallest value in -1, 37, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 6*v**2 - 6*v + 7. Let i be n(-5). Suppose -8 - i = -s. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.8002 decades to months.\nAnswer: 3456.024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51925251 + 12515251. Round d to the nearest one million.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199983.5 years in millennia?\nAnswer: 199.9835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-26244)\/(-1134))\/(6\/98). What is the greatest common factor of v and 1638?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1078) + sqrt(22) + 6*sqrt(22)*2)\/(((sqrt(22)*2)\/sqrt(2) - sqrt(11))*2))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**3 + 78*l**2 + 76*l + 46. Determine i(-25).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 680 - -336. Let l = y - -63. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1823875?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/4 and (-10577)\/1530 + (83 - 76).\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24781 rounded to the nearest 100?\nAnswer: 24800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 - 29*g + 35 - 67 to p*g + d and give p.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * 4609.\nAnswer: -46090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 a when three letters picked without replacement from aawa?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (3 + (-1 - 0) - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9427 + 130?\nAnswer: 9557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 3928363*y**2 + 3929164*y**2.\nAnswer: 801*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -292*p - 1. Let d be 11 - (-4)\/8*-8. Let t be (-15)\/d - 4\/(-28). Is j(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 5*b**6\/3 + b**4\/6 - 4*b**2 - b - 23. What is the third derivative of w(p) wrt p?\nAnswer: 1200*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107156097?\nAnswer: 3, 11906233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**4\/3 - 463*r**3\/3 - 23968*r**2\/3 - 286160*r\/3 = 0.\nAnswer: -28, -20, 0, 511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000083493045 to seven dps.\nAnswer: 0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -12*f - 132. Let k be p(-11). Let y(z) = -4 - 3 + 5 + z. Determine y(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 167576 or 167577?\nAnswer: 167577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/6*(-3)\/8. Let z = 0.01 - -2.99. Let b = -5 + z. Put 4, l, b in decreasing order.\nAnswer: 4, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 1, 0 = a + a - 4*o + 1566. Let v = a + 10217\/13. Let s be (-459 - 48)\/(-39) + -11 + (-3 - -2). Which is smaller: v or s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/1515 and 97\/13065.\nAnswer: 1319565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103 + -69. Suppose 3*m + 5*q - 4 = 0, 4*m - 17 = 11*q - 6*q. Let g be m\/7 + 1347*9\/378. Which is smaller: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + -2. Let r be 2\/(-5) + 534\/(-15). Let v = j - r. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -112*t. Let k(a) = 158*a + 12. Let v(b) = -b - 2. Let w(p) = 7*k(p) + 42*v(p). Determine 48*r(f) + 5*w(f).\nAnswer: -56*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9013092, 3, 5.\nAnswer: 3, 5, 9013092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99672.6 micrometers to millimeters.\nAnswer: 99.6726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7\/(-21))\/(2\/6). Let y be t\/(-1 + 984\/988). Suppose y = 2*l - 255. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 106591 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*r, 3*r - 8824 = 2*q - 3590. Let x be (q\/(-1))\/5 - 16\/(-4). Calculate the highest common divisor of 66 and x.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (3 + (-666)\/(-6)). Let l = 115 + d. Put -3, 2, l, -5 in ascending order.\nAnswer: -5, -3, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 11*r - 1. Let h(l) = -18*l. Determine 6*h(t) + 6*p(t).\nAnswer: -42*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -19. Let a(d) = 0*d**f + 2*d + 5*d - 2*d + 2*d**2 + 4. What are the prime factors of a(5)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00906 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 138, 7 in increasing order.\nAnswer: 0, 1, 7, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31704 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 3*k - 3*k - k.\nAnswer: -k - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*l + 591 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -117, -129, -87, 27, 231, 543, 981?\nAnswer: 1563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(3 + 7\/(-2)). Suppose 0*w - w = 0. Suppose -3*l = -w - 3. Sort l, x, -5 in decreasing order.\nAnswer: l, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z - 70 + 71 - 1.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 35500, 1, 0, 3.\nAnswer: -5, 0, 1, 3, 35500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.822282 rounded to 0 decimal places?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 2 + 2)**2 + 3*sqrt(80) + 1 + ((1 + sqrt(320))**2*-3 - (sqrt(320) + sqrt(320) + (sqrt(320) - (4 + sqrt(320)*-1)))**2)*5.\nAnswer: -30398 + 1084*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2744439974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y + 91. Let x(i) = -i - 30. Let j(l) = 2*o(l) + 7*x(l). Calculate the smallest common multiple of 18 and j(-20).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 1, 4, -56, -15 in decreasing order.\nAnswer: 28, 4, 1, -15, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a century in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10799 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 202927545?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 2*a + 22, 40*i - 39*i = a - 3. Put 1, a, 4 in descending order.\nAnswer: 4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22484 and 869?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 - 3*k**3 + 6*k**3 + (4 + 0 - 3)*(-2*k - 3*k**3 + 2*k) - 172*k**3 + 82*k**3 + 28*k**3.\nAnswer: -64*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51817 - 34278. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-672*x**4 + 770*x**4 - 2439*x**4).\nAnswer: 4682*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011111010011001001000100010 - -1?\nAnswer: -10011111010011001001000100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -35*y. Let a(x) = x. Let k(r) = -3*r. Let f be ((-12)\/(-15) + 0)\/((-4)\/10). Let w(h) = f*a(h) - k(h). Calculate p(w(i)).\nAnswer: -35*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-39))\/(-2)*(-1 - -3)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.17 or -3\/118?\nAnswer: -3\/118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seventy-seven halves of a millennium?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1005*o - 428 + 859 - 431 + 1270*o.\nAnswer: 2275*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(34)\/sqrt(2) - sqrt(17)) + sqrt(17) + sqrt(17) + sqrt(17))*1 - sqrt(187)\/(sqrt(55)\/sqrt(5)))**2 + 0.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 - -27. Let w(y) = -y - 5. Determine w(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -6 (b) 4 (c) 3\/4 (d) 0.153\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 3*g = 2*q - 21, g + 5*q - 18 = 0. Which is smaller: 16\/7 or g?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5628 (base 10) to base 11.\nAnswer: 4257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 769607819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(64) - (sqrt(64) + (sqrt(64) - (-3*sqrt(64) - sqrt(64)))))*3)\/sqrt(2) - sqrt(96)\/(-5*sqrt(3)*-5)).\nAnswer: 4512*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 13) + 30 + -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p - 89. Let g be s(21). Let v = -5 - g. Which is the nearest to 1? (a) -3 (b) v (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 158 + 50280?\nAnswer: 50448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13649 is divided by 99.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.75 + -1.7. Let r = -73\/5 + 131\/10. Which is the biggest value? (a) h (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccsyascksss. Give prob of sequence sa.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-83*v - 51*v**2 + 83*v)*(-22*v - 280 + 280) in the form y*v**2 + q*v + m*v**3 + d and give m.\nAnswer: 1122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 4) + 6 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000 - 10001101010001110000?\nAnswer: -10001101010001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3280)\/(-656))\/((-7)\/(14\/(-330)))?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-9))\/(n**(-8\/7)*n*n) assuming n is positive.\nAnswer: n**(64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -159738 + 251460. Let p = 24722 - h. Round p to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1358 < -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 6976748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 9) to base 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -81*(-4)\/(-6)*-24*(-12)\/(-192)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -12.2. Let x = -119765.18 - -119777.18000025. Let p = d - x. What is p rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - (8\/5)\/(2\/(-5)). Solve -2*z + z - l = -4*v, -3 = v + 5*z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -1164*j. Let x(d) = -4*d**2. Calculate x(c(m)).\nAnswer: -5419584*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**3 + 3*r**2 - 10*r - 11. Let g(p) = p**3 - p**2 + 5*p + 5. Let z(h) = -2*f(h) - 5*g(h). Factor z(j).\nAnswer: (j - 3)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -163140 or -163167?\nAnswer: -163140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -38. Let t be g + 4 + -3 + 3. Solve -y = 3*y - 3*h + 6, -t = 3*y + h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*o - 6. What is the third derivative of 4*x**2 + 2*x**4 - 4*x**2 - 2*x**o wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107 - 18. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6061?\nAnswer: 11, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -133, 5, -1 in descending order.\nAnswer: 5, 1, -1, -4, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15154661 and 5459.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(((-4)\/(-3))\/(6\/(-9))). Let q(o) = -o**3 + 9*o**2 - 8*o + 8. Let k be q(8). What is the greatest common factor of b and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58 and 1098462?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 313\/42?\nAnswer: 313\/42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**3\/(v**(-4)*v)*(v\/v**(-1\/4))**42 assuming v is positive.\nAnswer: v**(117\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16155*-1\nAnswer: -16155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**4\/4 + 6*l**2 - 136*l + 79. Let d(p) be the first derivative of k(p). Factor d(t).\nAnswer: -3*(t - 2)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*n + 3626134 = -5573878, 13799996 = -3*d - n. What is d rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**3 - 5*m**2 + 5*m + 6. Let y = -26 - -66. Let p = 36 - y. What is the units digit of i(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -168 + -671. Let s = b - -1483. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, 4, 0.5, 3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/(-10))\/((-2)\/16). Suppose u - b*m = -3, -2*u - 2*m + 3 = -u. What are the prime factors of (114\/24)\/(u\/12)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3 - 720*k**2 + 86673*k + 836190 = 0 for k.\nAnswer: -326, -9, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 27. Let h = 0.26 + -18.26. Let w = -8 - h. Is x greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(300)) + 0 + (2*sqrt(108) - sqrt(3)) + (sqrt(27)*-1)\/sqrt(9))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -3. Let h be (-51)\/17 - ((-1105)\/30)\/13. Let g = 1 + 1. Put l, g, h in descending order.\nAnswer: g, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*-1*(-12)\/(-9). Suppose 0 = -a - 3*l - c, -4*a + 5*l + 14 + 4 = 0. Suppose -1140000 = -a*i + 4*i. Round i to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.877234 days to minutes.\nAnswer: 8463.21696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4625 - 36951\/8. Find the common denominator of -42\/5 and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**6\/1080 - 223*w**5\/540 + 443*w**4\/216 - 221*w**3\/54 - 24*w**2 + 17. Determine i, given that q(i) = 0.\nAnswer: 1, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 q when three letters picked without replacement from {d: 7, p: 4, s: 3, j: 1, q: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2) - 195\/(-26). Suppose 12 = -c + z*c. Solve 4*f - 3*y + 2*y - 8 = 0, 2*f = -c*y - 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4141316490990 - 0.008\nAnswer: -4141316490990.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t + 3*t - t**2 + 5 + 4. Let s be g(7). Suppose -y = -2*c - 6*y + 61, 2*c = -s*y + 46. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*(-2 + 3))\/(-1). Let x(s) = s - 1. Let m(h) = 82*h - 25. Let j(p) = q*m(p) + 5*x(p). Is j(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 11 = -5*k + 16, -6 = 2*k + 5*y. Calculate the greatest common factor of k and 448.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 17*t - 73. Determine k(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16717185 and -17.634.\nAnswer: 16717167.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -744722753*y**4 - 7108633*y**2 + 2*y - 14?\nAnswer: -17873346072*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 13114 - 13098 = 0 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k + 28. Let l be j(-6). Let b = l - -26. Solve -3*f - f = -b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*u**2 + 33*u**3 + 41*u**5 + 2 + 33*u**5 - 4*u**2 - 27*u - 6*u**2 - 4*u**2 wrt u?\nAnswer: 4440*u**2 + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303730.223 rounded to the nearest 1000?\nAnswer: -304000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -445575 (base 8) to base 4.\nAnswer: -210231331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 3*b - 550, -2*r - 440 = -6*r + 5*b. Calculate the greatest common divisor of r and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 4)*(-2*l**3 + l**5 + 2*l**3) + (-2 + 2 - 3*l**5)*(-1 + 1 - 2).\nAnswer: 4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10 + 2 + (1 - 1). Let j be (m - (-2)\/(-2)) + -2. Let r be (-16)\/(-30)*j\/12. Is r at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 2. Let w(g) = -g + 1. Let l(f) = -f**2 + 2*f. Let h be l(3). Let c(o) = h*w(o) + 4*n(o). Calculate c(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 z when three letters picked without replacement from {b: 5, z: 5, l: 4}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-114)\/(-76))\/(4*1\/(-2)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2557, 10064, 22577, 40096, 62621?\n\"Answer: 2503*s**2 - 2*s + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, e: 6, t: 6, l: 2, j: 1}. What is prob of sequence te?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 79 + (6 - 5\/1). Suppose 11*b = -z + 4810. What are the prime factors of b?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 + 46. Suppose -654 = -q - 4*q + g*h, q + h = 134. Calculate the remainder when q is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9.4 in 0.4, 0, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 489180 and 402.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 9:58 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -1 - 2097\/(-45). Let d = 45 - q. Factor -14\/5*p**2 - 6\/5*p**3 - 2*p - d.\nAnswer: -2*(p + 1)**2*(3*p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7091, -14179, -21267, -28355, -35443, -42531?\n\"Answer: -7088*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 8. Let d be (-102)\/15 + 2\/(-10). Let a be b(d). Calculate the remainder when 4 is divided by (-3)\/(-3) - 1*a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2471277, 9885197, 22241729, 39540873?\nAnswer: 61782629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14872 (base 9) in base 11?\nAnswer: 7724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y = -46*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 251906 and 8339.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.083 - 67.083. Let p = d + 67. Let o = -19 + 75\/4. Which is the nearest to p? (a) 0.01 (b) 1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.17 + -3.83. What is the closest to 1 in w, 1\/5, -2\/11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/(-85))\/((-4)\/(-10))*-14*(-16)\/(-224).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -135692 (base 14) to base 3\nAnswer: -1020221110022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 - 144 = 9*a. Calculate the remainder when 55 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -4. Let f(g) = -g - 7. Let x be f(-9). Let w(k) = x*k + 5*k - 5*k. Determine w(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 5:16 AM?\nAnswer: 621","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y - 5*y)*(-3 + 5 - 3)*(2*y - 3*y + 4*y) + (5*y - 4*y + y)*(-2*y + 3*y - 2*y).\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**8\/20160 + w**7\/840 - w**6\/120 - w**5\/12 - 17*w**2. Let d(u) be the third derivative of g(u). Determine d(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 8:01 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 275.\nAnswer: -6\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 56\/(-6)*(132\/8)\/(-11). Suppose 6 = y - 3*y, -b = -5*f - 2*y. Let l(g) = 28*g - 107. Let a be l(4). Solve i + f*v = -14 - a, -5 = v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461 is divided by 442.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(539) - -2*(-3 + sqrt(539)) - (1 + sqrt(539)*1)))**2 + 1.\nAnswer: -140*sqrt(11) + 2182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25169, -21338, -17497, -13640, -9761, -5854, -1913?\nAnswer: 2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1701546.\nAnswer: 2, 3, 7, 11, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9 - -6) + 14\/2. Let t = 7 - r. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 5*l + 85, -3*q + 4 = -3*l + 10 + 33 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(7\/(-98)) - (0 - 1). Solve 20 = -4*m, 5*c - w = -0*m + m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 + 33. Is z a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14 - -3) + 0\/(-1). Suppose w = 5*r - 8. Suppose -r*i + 2*b = -4*i - 21, -5*b = 20. Calculate the greatest common factor of i and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 11*f + 207 = 0. Let o = -37 - f. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(408\/202 - 2). Let i = 192\/505 - k. Let j be (-2)\/7 - 5\/105. What is the closest to j in -5, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380*g**3 - 347*g**3 + 1 - 1.\nAnswer: 33*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/1540 and 53\/1645.\nAnswer: 72380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -103335?\nAnswer: -103340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + 2 + -2*(-5 + -2*(sqrt(80) + sqrt(20)))**2).\nAnswer: 1200*sqrt(5) + 7435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/3 in -5\/4, -0.8, -3\/19?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**3 - 54530*m**2 + 29525875*m - 29471340 = 0.\nAnswer: -11423, 1, 516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 58349788171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*g - 5. Let j = 54 - 29. Suppose -j = -q + g*u, u - 6*u = 5*q - 35. What is the smallest common multiple of q and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2224 and 256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*k + 89127 = 0, -27*k = -4*l - 26*k + 118854. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -3 - (58 - 4)\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -0.0483?\nAnswer: -0.0483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 366*d**2 + 6714*d**6 + 2*d**5 - 56*d**2 - 6682*d**6 wrt d?\nAnswer: 3840*d**3 + 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -664089, -664215, -664425, -664719?\n\"Answer: -42*u**2 - 664047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 878112456.\nAnswer: 2, 3, 13, 251, 11213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 9028938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16\/29 (b) 2 (c) -11 (d) 3 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/260 and -33\/55417700.\nAnswer: 55417700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 6, -22, -82, -186?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*o - 164 = 10*o - 1100 for o.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-736)\/(-1104))\/((-3)\/(27\/66)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -311108.6 and -1.5.\nAnswer: 466662.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -422*w + 431*w = 45. Suppose -w*g + 3781 = -h - 273, 2*h = -g + 802. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.7 (b) -1 (c) -130\/7 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(128)*-2)*5 - (sqrt(270) - 5*(sqrt(270) + sqrt(270)*-2))\/sqrt(10)) + 5.\nAnswer: -293*sqrt(3)\/16 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176305.\nAnswer: 5, 37, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-7))\/((216\/(-21))\/8).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60089 is divided by 194?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 14655, 2\/7, -0.3, 5.\nAnswer: -0.3, 2\/7, 1\/3, 5, 14655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2408 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 - 9)*(-10)\/(-3). Let s be ((-68)\/k)\/((-9)\/15 - -1). Calculate the greatest common factor of 17 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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 j(x) = 2*x - 46. Calculate j(24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d - 2*d + d)*(4 - 1 - 1)*(25 + 0*d - 26 + 3*d) to the form v + u*d + y*d**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 + 1.99. What is the smallest value in 1\/7, 1, x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/7 + 11\/14. Let f = 0.108 + 5.192. Let i = -0.3 + f. Which is the second biggest value? (a) i (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 86?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 27 + 15 = 0. Let k = f + 17. Is (-1143)\/(-6) + (-2)\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 9956154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 575*y**2 - 202*y + 7. What is the units digit of z(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6919150 is divided by 5152.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18415 and 18057749?\nAnswer: 3683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000167976844 rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4451 - 4448. Suppose 0*p + 1\/3*p**2 - 1\/3*p**4 + 0 - 1\/3*p**w + 1\/3*p**5 = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 221 + -216. Suppose w - 866 = -s*m, 3*w - 41 = m + 2509. What are the prime factors of w?\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 528\/(-20) - (-8 + 5 + -1). Let s = q + 1724\/85. Is -1 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 11312532?\nAnswer: 11312532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11*-0.0616\nAnswer: -0.6776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 21516704*m - 28935534438976.\nAnswer: -4*(m + 2689588)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3558, -8441, -14640, -22155, -30986, -41133, -52596?\n\"Answer: -658*a**2 - 2909*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**4 + 2*r**4 - 2*r**4 + (1522*r + 430*r**3 - 1522*r)*(-r - 8*r - 7*r) to t*r + q*r**4 + c*r**3 + j + y*r**2 and give q.\nAnswer: -6879","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15107, -33, -0.144?\nAnswer: -0.144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 5 - 4, 5*y - 5*i - 27850 = 0. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsozyoztz. Give prob of picking 1 o and 1 y.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**3 + 6*k**2 + 9*k + 8. Let o(n) = -3*n**3 - 5*n**2 - 7*n - 7. Suppose 2*d = -j + 5 + 1, -5*d + 28 = -4*j. Let q(w) = d*s(w) + 5*o(w). Give q(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1157 - 1156.9. Which is the fourth smallest value? (a) -1\/57 (b) 1 (c) f (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 141455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1603?\nAnswer: 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-12) + (-14)\/(-21))*1. Find c such that -h*c**4 + 0 + 0*c**3 + 1\/4*c**2 + 0*c = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -99 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -508 - -510. Let r(d) = 10*d**2 + 4*d - 3*d - 8*d**y - 4. Let j(t) = t**2 - 5*t + 1. Let x be j(4). Calculate r(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h. Let g(x) = x**2 + 3*x - 3. Let j(a) = -2*a + 2. Let o be (-32)\/(-14) - (-14)\/(-49). Let p(m) = o*g(m) + 3*j(m). What is y(p(f))?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 8 (c) 2\/9 (d) 55 (e) -5 (f) -55.2 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -540 + 539. Suppose 2*r + 5 = 4*h + 25, -5 = r + 3*h. Which is the smallest value? (a) r (b) w (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from othaahpwpha. What is prob of picking 1 h and 1 p?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 265\/6 (b) 1.5 (c) 0.1 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 1\/2, -8.57, 856 in decreasing order.\nAnswer: 856, 1\/2, -4\/3, -8.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.2, -3, 2\/3, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132)*2 - sqrt(132))\/sqrt(12) - (sqrt(11) - sqrt(22)\/(-1*sqrt(2)))) + sqrt(55)\/(sqrt(320)\/sqrt(4) - sqrt(5)))**2 + 2.\nAnswer: 62\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 18 + (-13 - -12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 - -55.5. Which is the closest to -0.3? (a) 2 (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 5*x**2 + 11*x - 3. Calculate the least common multiple of k(3) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 3*b - 6. Let h(g) be the third derivative of g**5\/30 + 5*g**4\/24 + 2*g**3 + 5*g**2 + 2. Calculate -3*h(j) - 5*s(j).\nAnswer: -j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/14 - (-2)\/4. Let d = 55.3 + -55. Which is the closest to u? (a) -5 (b) -0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzjxv. What is prob of sequence jvjx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 251464?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 30*x - 3. Let o = 0.3 + -0.2. Let z = 2.07 + -0.07. Which is the second biggest value? (a) z (b) x (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3454*r. Let x(g) = g. Give j(x(p)).\nAnswer: 3454*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 36 = -7*n + 3*n, 5*n + 21 = 3*o. Solve r = 3*q - 0*r + o, -q = -3*r + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141992?\nAnswer: 2, 17749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15918 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3402140 and -12.\nAnswer: 3402128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38d (base 16) to base 9.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 45954 * -0.0805\nAnswer: -3699.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**4\/6 + 17*j**3\/6 - 30*j**2 + 2*j. Let x be s(5). What is the fourth biggest value in 7, -4, x, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*i**4 + (10*i + 6*i**4 - 10*i)*(-5 + 0 + 2).\nAnswer: -20*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 13 - (3 + -6 + 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2*sqrt(98)*-2 - (2 + -2*sqrt(98)))*1)**2.\nAnswer: -588*sqrt(2) + 3577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8*u**2 + 45*u - 334. Determine n(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/231, -0.3, -4\/339?\nAnswer: -4\/231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(1\/10)*n**8*n**(-6\/11)*((n**(1\/3)\/n)\/n)\/n)**(-1\/60) assuming n is positive.\nAnswer: n**(-2207\/19800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1814801 is divided by 3497.\nAnswer: 3355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2429*s. Let m(t) = -271*t**2. Calculate j(m(k)).\nAnswer: 658259*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-2)\/3)\/((-7)\/(-6)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28750.36 centuries to millennia.\nAnswer: 2875.036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (12\/(-9))\/(-1) + 20\/180 and -58\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r - r**2 - 7*r + 0*r wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 1. Let y(j) be the first derivative of -j**2 - j - 2. Let a(h) = -957*h + 4787. Let k be a(5). Suppose q + 0 = 2. Give k*d(u) + q*y(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -41. Let q = r + 2. Sort 1\/2, -5, q, 0.3 in descending order.\nAnswer: 1\/2, 0.3, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-3) - (-6102)\/5508*34.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-30))\/(p\/p**10*p)*(p*p\/(p\/p**(-18\/5)))\/p**(-23) assuming p is positive.\nAnswer: p**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*d, 8*v = 6*v + 5*d + 3. Suppose -2*f = -5*i - 30, v*f = -2*i + i + 60. Calculate the remainder when 161 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**7\/14 + k**6\/5 - k**4\/2 - k**3\/2 - 3*k. Factor m(j).\nAnswer: 3*j*(j - 1)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 30 - ((-4 - -3) + (-1 - 3))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*f**2 + 23*f**2 + 2*f**2 - 3*f**2 to g*f**2 + k*f + t and give g.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 8785*a**2 - 2843*a**2 - 4*a**5 - 2829*a**2 + 164*a**3 - 2969*a**2 + 16*a**4 = 0.\nAnswer: -4, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 2 + -1 + 9. Let j = 725 - 721. Solve j*z = 3*i + z - 12, -l = 2*z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1781424 is divided by 1602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**3 - v**2 - 11*v - 5. Suppose -11*n + 6*n = 65. Let j(t) = t + 7. Let k be j(n). Is i(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6411233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/425 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 13 = 5. Let d = 14 + b. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by -6.\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.975453 weeks to nanoseconds.\nAnswer: 5428353974400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 2)*(0 + 1 + 1) + 2 + 3 - 4 + 0 - 8 + 2)*(5*h**3 + 17*h - 17*h - 9*h**3 + 5*h**3 + 5*h**3 + (h**2 + 2*h**2 - 2*h**2)*(-2*h - 2*h + 2*h)).\nAnswer: -36*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-1 - (-2 + -2 - -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41\/2 + 21. Let y(q) be the second derivative of c*q**2 - 2*q - 1\/20*q**5 + 1\/3*q**4 + 5\/6*q**3 + 0. Calculate y(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329086*p = -329442*p + 9612 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 9:48 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/165049 and 85\/990294.\nAnswer: 990294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28602882 and 0.09?\nAnswer: -2574259.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*f**5 - 9*f**5 - 11*f**5 - 312*f**3 - 46*f**5 + 312*f**3 - 6*f**5 + 2*f**5 + 3*f**5 + (f**3 - 3*f**3 + 0*f**3)*(f**2 - f + f).\nAnswer: -62*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30611, -90359, -189939, -329351, -508595?\nAnswer: -727671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 12, n: 3}. What is prob of sequence nyy?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 48, 195, 440, 783, 1224?\n\"Answer: 49*u**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 + 1. Let n = -10 + 22. Let p = n + -12. Which is the closest to -0.2? (a) 3 (b) z (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g - 3. Suppose -5*l - 1 = 19. Let f be m(l). Suppose 4*d = d - 3. Put d, f, 4 in descending order.\nAnswer: f, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 20724829116 and -5?\nAnswer: 20724829121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 7:36 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/59? (a) -270 (b) 0.1 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, 2, 1\/4, 3, -3.6?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -46530 >= -325720\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/13895 + 62805\/5558. Calculate the common denominator of x and ((-3)\/(-16))\/(3\/(-66)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -73, -82, -75, -46, 11?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2560, 5110, 7652, 10186, 12712?\nAnswer: 15230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3226918587396 and -0.03.\nAnswer: -3226918587396.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/((-1)\/((-8)\/(-6))). Let z(v) = 10*v**2 - 2*v - 5. Let h be z(m). Suppose -r + 85 = 5*f, -4*f + h = 2*r - 17. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (15 - (1 + (-12 - -6))) + -7.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 17. Suppose 2*i = -w*u + 2*u + 145, 4*i - 263 = -u. List the prime factors of i.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 1. Let k(p) be the first derivative of -p**4\/4 + 2*p**3 - p**2 - 6*p + 36. Give k(a) + 6*o(a).\nAnswer: -a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.077\nAnswer: 0.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3\/4*o**2 + 768 - 48*o = 0.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 3 - 0, -5*d = -4*m - 1. Suppose -3*p = -2*p - 96. Let i be p\/(-315) + (-4)\/(-10). What is the smallest value in i, m, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.50011cm?\nAnswer: 5001100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -40. Solve p = -2*u + 2 - 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 236243273*d**2 - 40746*d - 41?\nAnswer: 472486546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-559)\/1235 - (-6)\/15)*-17495. Let p = 920 - j. Is 0 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(11)*2*3).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1591039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1272 + 137 - 723)*(0 - 1 - s + 0) - s - 3*s + 2*s + (5 - 1 - 3)*(3*s - 5*s + s).\nAnswer: 1855*s + 1858","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1739675.\nAnswer: 5, 7, 9941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-5788)\/1447)\/(4\/113)\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 8636*r**2 - 20 - 2588*r**2.\nAnswer: -11224*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80565\/22 + -3660. Find the common denominator of c and 11\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 559*q**2 + 10*q**3 + 56 + 57 - 560*q**2 wrt q?\nAnswer: 30*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 248.58528 from -0.5.\nAnswer: -249.08528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 10 + 5 = 0. Let r = 14 + -9. Let f = r - 7. Sort o, f, 3 in decreasing order.\nAnswer: 3, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -77, -58, -21, 40, 131?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 7. Let q = v - -4. What is the greatest common divisor of 42 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 9:57 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 40. Suppose -y*o = -0*o - 840. What is the highest common factor of 36 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228991694 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -9.8 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/134284 and -22\/3.\nAnswer: 402852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.392048kg in tonnes?\nAnswer: 0.009392048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1539) + -1 - sqrt(1539))**2 + (-5*(-3 + sqrt(1539)))**2 + sqrt(1539))*2.\nAnswer: -2682*sqrt(19) + 77404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y**3 - 5704*y**2 + 32668*y - 19240 = 0 for y.\nAnswer: -481, 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (250\/(-5))\/(6\/(-3)). Suppose -9*j + 4*j - v = 0. Let n be ((-8)\/(-2)*1)\/14. What is the fourth smallest value in -3, 0.9, n, j?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 89, 100, 113, 128?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2*m + 2*m)*(0 + 6 - 4) + (1 - 2 - 1)*(7*m - 7*m - 5*m) - m - 4*m + 3*m + 2*m - m - 3*m + (-3*m + 0*m + 2*m)*(4 - 3 + 1) + 3*m - m - m.\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -553*b. Let i(p) = 13*p**2 - 13*p. What is k(i(v))?\nAnswer: -7189*v**2 + 7189*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -821 times -4?\nAnswer: 3284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((-6*-3*sqrt(77) - sqrt(77)) + (sqrt(77) + sqrt(77)*1 + sqrt(77))*-5)\/((sqrt(343) - ((sqrt(343) - 5*sqrt(343)*1) + sqrt(343)))*2) + 0).\nAnswer: -3*sqrt(11)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(12\/(-9) - -3). Suppose -w*f + 2*f = -3*n + 165, -n + 2*f = -55. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-14))\/(96\/1008). Solve 3*n + 3 = -r*d + 6, 4*d + 3 = 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(-3\/7))*c\/c**5)\/(c**(4\/11)*c**(-3\/10)))**(-34\/5) assuming c is positive.\nAnswer: c**(58803\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3106.069 millimeters?\nAnswer: 310.6069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*(sqrt(51) - (sqrt(51) + -3*sqrt(1275) + sqrt(51)) - sqrt(612)\/(sqrt(36)\/sqrt(3)))\/(sqrt(18)\/(sqrt(30)\/sqrt(20))).\nAnswer: -3 + 65*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9527.27163 rounded to the nearest ten?\nAnswer: 9530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00022973279 rounded to seven decimal places?\nAnswer: 0.0002297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1.8, 25169\/4, -1, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -16249 * 9\nAnswer: -146241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 + 139*j - 17. Let a be z(-70). Let s(q) = -7*q**3 - 3*q**2 - 4*q + 1. Let i be s(-2). Calculate the greatest common factor of i and a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -14.24?\nAnswer: -42.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1512 and 4921128.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 68346098 to the power of 1\/2, to the nearest integer?\nAnswer: 8267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(119)\/sqrt(7) + 6*sqrt(85)\/sqrt(5) + -5.\nAnswer: -5 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(80) + sqrt(80) + ((sqrt(80)*2 + sqrt(80))*-1)**2)*1*-5.\nAnswer: -3603 - 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from bbyryyybbrf.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2043941259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -102, 262, 628, 996, 1366?\n\"Answer: f**2 + 361*f - 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 213760517 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 10, -3, 5, 55?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/3*(-57)\/494\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 132445031 (base 6) to base 14\nAnswer: 4cdb07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 186157 > 7\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmmmmn. Give prob of picking 3 m.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/8)\/(36*41\/246).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -32*y**3 - y**2 - 2*y + 1. Is z(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r + 2 + 2*r**2 + 1 - r. Is l(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 3, 1, 576, 0.4.\nAnswer: -1\/6, 0.4, 1, 3, 576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 54 = 54, -2*s - 30 = 3*i - 8*i + 2*s for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 3927.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 100.1759346us?\nAnswer: 0.0000000001656348125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32556*l**4 - l + l - 32534*l**4 - 6*l**3 + 99 wrt l.\nAnswer: 88*l**3 - 18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5309096615 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 141*u + 32. Suppose 4*s - 3*s = f + 1, 4*f = -2*s + 14. List the prime factors of m(s).\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17237691?\nAnswer: 3, 70937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4312 and 39893546.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttbqhshhhbbhtbt. What is prob of picking 2 h and 1 b?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, x: 5, f: 4, y: 1, d: 2, c: 3}. What is prob of sequence dj?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1155932 + 31.\nAnswer: -1155901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7448, 30090, 67828, 120662, 188592?\n\"Answer: 7548*c**2 - 2*c - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/10 and -11\/4339518?\nAnswer: 21697590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zizi. Give prob of picking 2 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-19)*(a**(-9)\/a)\/a)\/(a**(6\/19)*a**(-4\/3)) assuming a is positive.\nAnswer: a**(-1652\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3495*m**2 + 5876*m**2 - 1466*m**2 - 430*m**2.\nAnswer: 7475*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = x + 2*j + 22, -38 = 3*x + 4*j. Let d(w) = w**2 - 8. Let y(s) = 9*s**2 - 13*s - 1. Let k(p) = 5*d(p) + y(p). Is k(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10138 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -48*j**2 - 9*j + 6 + 97*j**2 - 51*j**2 + j**3. Let i be l(4). Let w(c) = -4*c - 1. Let t(x) = -x - 1. Determine i*t(q) - w(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**16*b)\/b)**(-2\/171))**(5\/8) assuming b is positive.\nAnswer: b**(-85\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1155.37 + 973.37. Let l = 2.98 + 0.02. Which is the second smallest value? (a) -3 (b) l (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -5 + 6 + -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 12 + 11*t**3 - 7 - 6. What is the remainder when 40 is divided by z(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12549547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 58 = 154*i - 159*i, 0 = 4*i - 8 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 15100 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1308293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 179878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = -3*b + 417. Suppose 2*i = 5*i - 21. Calculate the remainder when b is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/45 - 489\/(-15). Solve -5*h + 3*n = 31, n + 3*n - p = 5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-92644)\/17917)\/((-10)\/(-205)).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -5, -104, 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x - 20*x = 3*n - 114, 0 = -240*n + 3*x - 8*x + 6587 + 2533 for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -161408 (base 12) to base 8.\nAnswer: -1335410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -91804 + 10282161\/112. What is the common denominator of -79\/8 and a?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -278, -2122, -7132, -16892, -32986, -56998, -90512?\nAnswer: -135112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 2*n**2 + 1. Suppose q + 5 = 25. Suppose -9*k - 4*s = -6*k - 12, 4*k + 4*s = q. What is the lowest common multiple of k and l(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -8 - 12, -2*h - 1 = 68*g + 108 + 115 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1844\/6503 + -2\/929. Let j = -0.3 + 0.6. Let t = j - 0.6. What is the second biggest value in t, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/6*-9 - -1. Suppose 3*p + t = 2*i - 3*i, -3*i + 2*p = -12. Solve -2*g + 6*g = 3*u + 17, g = i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 715?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -12464100?\nAnswer: -12464102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13639*s**2 - 13639*s**2 + 657*s**3.\nAnswer: 657*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*a. Suppose -159 = -a*h - 3*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21595952 to the nearest integer?\nAnswer: 4647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -13, -2818, -5.\nAnswer: -2818, -13, -5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - c + 501 = 0, -3*c + 389 = 4*o - 14. Let q(s) = 4*s**2 + 11*s - 11. What is the smallest common multiple of q(1) and o?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*k = 30, -5*k - 1 = 2*u - 16. Suppose -u*o + 24 = d, 10*o = 5*o + 4*d + 29. Let x(r) = -r**2 - 5*r + 1. Let p be x(-6). Sort p, -4, o.\nAnswer: p, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -j + 3. Let z be 9 + 3 + (-1 - j). Suppose c - z = -4*c. Solve -5*q + c*l - 30 = 0, 0*l = 4*l - 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 301615\/342 + -15865\/18. Factor 2\/19*v**4 - k*v**3 + 40\/19*v + 0 - 8\/19*v**2.\nAnswer: 2*v*(v - 5)*(v - 2)*(v + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*a + 1467999 = -43*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 11803532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 - 59.9999985. Round d to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 284050 (base 11) to base 9\nAnswer: 746800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77339\/174006 + 1\/58002. Suppose 3*c - 3*n + 1 = 7, c + 5*n - 20 = 0. What is the third smallest value in -2\/13, j, c, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 1. Let f(z) = 24*z**3 + 18*z**2. Let m(v) = f(v) + 18*n(v). Differentiate m(x) with respect to x.\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 837.1562 decades to centuries.\nAnswer: 83.71562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 412461785?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1, 5, -1, -3\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45522 = 2*t - x, 399*t - 394*t - 5*x = 113810. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 + 54. Let a(j) be the third derivative of -2*j**q - 1\/6*j**3 + 0 + 0*j + 0*j**4 + 0*j**5 + 0*j**6 - 3\/70*j**7. Differentiate a(f) with respect to f.\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((-3 + sqrt(1584))*-1)**2 - ((sqrt(1584)*-1*-5)**2 - sqrt(1584))).\nAnswer: 60*sqrt(11) + 38007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {a: 4, l: 16}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 231.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2051*w + 295390. Give q(-144).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-2 - (-4 + 0)) + -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 445*p + 451*p - 1340*p + 443*p. Let z(d) = -4200*d**2. Calculate z(k(s)).\nAnswer: -4200*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-2))\/((-3)\/2). Let z be 26\/40 - 1\/v. Let n be (220\/1155)\/((-2)\/(-3)). Which is the second smallest value? (a) n (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 25 = 5. Suppose 107 = w*s + 2*u + 2*u, -3*u + 9 = 0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -5710366.\nAnswer: 11\/5710366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64 - 139. Let r = 518 + s. What are the prime factors of r?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1347, 2696, 4045, 5394?\nAnswer: 6743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33257860123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11032 or 1?\nAnswer: -11032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7*x**4 - 3*x**4 - 6*x**4)*(-314 + 314 + 5*x) - 5*x**5 + 3*x - 3*x.\nAnswer: -15*x**5 + 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4555*g + 4533 = -4554*g. What are the prime factors of g?\nAnswer: 3, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 10.75. Let j = r - 0.05. Let f = -5.3 - j. Which is the second smallest value? (a) 0 (b) f (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r + 0*r + 107 - 4*r - 93 in the form f + q*r and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-100)\/(-36) + (44\/36 - 1). Suppose -i + 85 = t*u - 3*i, 75 = 2*u - 5*i. Calculate the remainder when 69 is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 3*x - 40 - 11, 2*d - 2*x = 24. Suppose -d = -2*o + 15. Is (-3 + o - 1) + 1 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 7. Calculate the least common multiple of 4 and ((-8)\/(-3))\/(-4)*d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23937?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23092127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**4 + 5083*i**3 - 23633*i**2 - 532882*i - 131664 = 0.\nAnswer: -8, -1\/4, 13, 1266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0030918 rounded to 5 dps?\nAnswer: 0.00309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245158.\nAnswer: 2, 122579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56 or 396\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/2, 2\/111, 1\/3, -1\/3, -3\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 16*a**2 - 18*a - 12. List the prime factors of b(-20).\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 52*d**2 + 47*d - 393. Let p be r(53). Calculate the greatest common divisor of p and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59771 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -70248827 divided by -6386257?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**4*m*s - 2*i**4*s - 4*i**2*m + 15*i*m*s - m*s wrt i?\nAnswer: 24*i*m*s - 48*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/205 and -67\/615?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4\/29 (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.592686mm to meters.\nAnswer: 0.000592686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/1208 and 77\/2096?\nAnswer: 316496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -37219172 * 7\nAnswer: -260534204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*c*f*x + c*f + 4*c*x + 5*c - 2*f*j*x + 4*f - 5*j - 5*x wrt x.\nAnswer: 12*c*f + 4*c - 2*f*j - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*q = -118*q + 27434. Does 46 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 52 = -2*l - 4*d, -5*l = -2*d + 79. Does 7 divide (-144)\/l - 2\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/300*-5)\/((-2)\/(-30))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 3*w + w + (-1 + 5 - 3)*(-5*w + 3*w + 4*w) + 0*w - 3*w + 2*w + 0 + 0 + w + (-2*w - 2*w + 3*w)*(4 - 3 + 1) - w + 2*w - 3*w)*(w + 4*w + 0*w).\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**3 - 2*c**3 - 3*c**3 + 3*c + 3*c**3 + 2*c**2 - 3*c**4 to x*c**4 + f*c + b + o*c**3 + i*c**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -22*i - 220. Determine h(-15).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 f, and 1 x when three letters picked without replacement from {x: 3, b: 1, f: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**5\/30 + u**2. Let g(v) = 41*v**2 - 10*v - 4. Let b(r) = 20*r**2 - 2. Let h(q) = 2*b(q) - g(q). Give h(i(z)).\nAnswer: -4*z**4 - 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -c + 25, 3*c + 45 = 5*p + 7*c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -88340, -88143, -87946, -87749, -87552, -87355?\n\"Answer: 197*p - 88537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 749045 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 - 12*k**3 - 32*k**3.\nAnswer: -46*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1921902*v**4 + 1783624 wrt v.\nAnswer: -7687608*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 5*d**2 + 2*d**2)*(-2 + 5 - 4) - 131*d**2 + 69*d**2 + 164*d**2 + (3*d - 4*d - d)*(-7*d + 4*d + d).\nAnswer: 108*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 55483 less than 55487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 11 = 9. Let u be 22*((-15)\/6)\/d. What is the second derivative of 5*w + w**4 + u - 11 wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -192, -491, -790, -1089, -1388, -1687?\n\"Answer: -299*f + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 1362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/56)\/(1000\/(-1120)).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73818.09 litres to millilitres.\nAnswer: 73818090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/3)\/21)\/((-4)\/42)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49748 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1883 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, 4\/9, -0.02, -19 in increasing order.\nAnswer: -19, -8, -0.02, 0, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjc when three letters picked without replacement from ccccjjjbmbm?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**1*p)**50)**(18\/7) assuming p is positive.\nAnswer: p**(2700\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 5:22 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 627, -5, 8, 0, -1308 in increasing order.\nAnswer: -1308, -5, 0, 8, 627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -4 - (2 - -14) - (1 + -17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 21. Let m = j + -7. Suppose t - 9 - 5 = m. What is the greatest common divisor of t and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 7598?\nAnswer: 22794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bp when two letters picked without replacement from bpbbppppbbbbpp.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.4 - 0.4. Let d = v + -2.95. Let b = d + -5.05. Put 0.4, b, -4\/5 in decreasing order.\nAnswer: 0.4, -4\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(833) + (sqrt(833) + 3)**2 + (sqrt(833) - (-3*(0 + sqrt(833) + sqrt(833)))**2) + sqrt(833) + 2.\nAnswer: -29145 + 63*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6*k**2. Let f(p) = 6*p**2 + 87*p - 15*p + 12 - 12 - 7*p**2. Determine f(b(g)).\nAnswer: -36*g**4 - 432*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x + 44. Let i be d(11). Calculate the common denominator of i\/(-99) + (-317)\/(-234) and (-5 - 52\/(-10))\/(12\/730).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3978.56 * 194.\nAnswer: -771840.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*w - 108 = 10*w. Let b be 6\/4*(2 + 4). Let a = b - w. Solve 2*d - 4*t + 4 = -3*t, -3*d + a*t = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/21*(-35)\/(-21)*-1*-3\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((((2*sqrt(605) - sqrt(605)) + sqrt(605))**2 + 3 - (sqrt(605) + -3 + sqrt(605) + sqrt(605) + -1)) + 2).\nAnswer: -99*sqrt(5) + 7287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 319\/6 - 109\/2. Which is bigger: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/((2295\/(-324) + 7)\/(3\/(-36)))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3010 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -475 divided by 95\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9050 is divided by 1863.\nAnswer: 1598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - (sqrt(70) + 6*sqrt(70)*1))\/sqrt(10)*3.\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -116686 + 13?\nAnswer: -116673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g - 4 + 4)*(2*g - 5*g - 9*g)*(4 - 2 + 0) to x*g**2 + r + o*g and give x.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 1 + 2 + 1)*(0*a - a + 8*a)*(-1 - 13 + 2) as w + i*a and give i.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53928, -215709, -485342, -862827, -1348164, -1941353?\nAnswer: -2642394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.91763 - -0.08237. Suppose -2*j + 4 - 6 = -v, j + 4*v = -10. What is the closest to -0.2 in -4\/3, q, j?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w + 1821 + 303. Let y be (-9)\/(-3)*940\/(-12). Which is smaller: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -480\/151 (b) -3 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, a: 3}. What is prob of picking 2 b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79434258, 79434258, 79434260, 79434264?\nAnswer: 79434270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 3*m + 1 + 2 + 2*m**2. Let d(x) = x**2 + 6*x + 3. Let r be d(-6). Let t(y) = 2*y**2 - 5*y + 5. Determine r*t(v) - 5*j(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, 46, -1\/9, 0.\nAnswer: -1\/9, 0, 1.3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 8 = 0, 18 = -17*o + 13*o - m for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(78))\/sqrt(6) + sqrt(208) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y + 7 + 555*y - 6 - 4 + 56*y.\nAnswer: 627*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5 = 31. Solve 3*g + 4*i = 19, -g - 2 = -4*i + u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -1. Let p = -17 - -28. What is the greatest common divisor of p and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -106, 0.273714, -2?\nAnswer: 0.273714","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 4 = -5*q. Solve 2*r - 2 = z, 4*r = 5*z - q*z + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-4 + 1 + -23). What is the units digit of 7632\/14 + (-4)\/v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 251, -3, -3526, -5, 28 in descending order.\nAnswer: 251, 28, 3, -3, -5, -3526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 32 = 6*f - 2*f, f - 22 = -5*w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11171 - -2701. Let c = l + 338731\/40. Find the common denominator of c and -17\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -441, -1799, -4099, -7371, -11645, -16951, -23319, -30779?\nAnswer: -39361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 112 + 1*(-2)\/1. Suppose -2*s + l = -7*s. Let w = -14 - s. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 15, 5, -5?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8942*c**2 - 11*c + 26. Is u(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -8. Let q = -1 - u. Calculate the highest common divisor of 33 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24\/13, 1, 75, 0.4, -4, 0.05 in decreasing order.\nAnswer: 75, 1, 0.4, 0.05, -24\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 8:01 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16 + 2 + (-6 - -4). Put 4, 1, -1, j in decreasing order.\nAnswer: j, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1031 + -1032. Which is smaller: 20 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24865 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2248453 - -76456729.\nAnswer: 76456729.2248453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*j**2 - 191*j**2 - 95*j**2)*(-3 + 3 - 1)*(-4*j - 3 + 3).\nAnswer: -1240*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 - 1294*k**2 - 726888*k - 6435720.\nAnswer: 2*(k - 1010)*(k + 9)*(k + 354)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + a + 0 + (-3 - 2 + 4)*(-2*a - 3*a + 3*a))*(1 + 0 - 3).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/11 and 30\/493201.\nAnswer: 5425211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 - 19 - 23 - 58*k**2 + 70 - 57*k**2 to r*k + m*k**2 + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 35 = -0. Suppose -s + 0*s + 20 = h, -3*h + 2*s = -b. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 - 2.2. Let n = x + 2. Which is the nearest to 1\/2? (a) 1\/3 (b) -0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -5, -17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4530, 4873, 5216, 5559, 5902, 6245?\nAnswer: 6588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32\/399 - 2\/133. Which is the closest to 0.1? (a) 0 (b) 4 (c) 2 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**4 + 41*h**3*o**3 - 11*h**3*o - 433*h**2*o**3 + 4*h*o**3 - 2*o wrt h.\nAnswer: -24*h + 246*o**3 - 66*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 118295081*k**3*p**2 - 10*k**3*p + 42*k**3 + 2*k**2 + 6825*k - 2 wrt p.\nAnswer: 236590162*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -4.2940410503\nAnswer: 7.2940410503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1\/((-4 + 2)\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 122162, 244324, 366486, 488648, 610810?\n\"Answer: 122162*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.296 (b) 4 (c) 1\/8 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2164054 (base 10) in base 8?\nAnswer: -10202526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18932 = 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.426 less than 223.02?\nAnswer: 221.594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 256 and 10?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2451 (base 8) in base 6?\nAnswer: 10041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -130 - -183. List the prime factors of q.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529790637.\nAnswer: 3, 271, 651649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 442148118 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (2 - 3)) + 817 + -828.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5882, -5877, -5868, -5855, -5838, -5817, -5792?\n\"Answer: 2*j**2 - j - 5883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 138 = 126. Let z = 34 - c. Solve 0 = j + 1 + z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5 - 3*p**4 + 6*p**4 - 5 - p wrt p?\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 668640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p + 21*p = 125. Suppose -24*x = -p*x + 319. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24825141 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.12 and 1343072.\nAnswer: 161168.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1433 + -310615?\nAnswer: -306152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**6\/60 - c**5\/15 - c**3\/2 - 27*c**2\/2 - 3. Let x(r) be the second derivative of v(r). What is x(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 7. Let g(d) = -5*d - o*d + 5*d + 0*d. Calculate g(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 + 4*s**4 + 12*s - 12*s + s**5 - s**5 - 2*s**5 + (-5 + 5 - s)*(2*s**4 + 0 + 0) - 2*s**5 + 3*s**5 + 4*s**5.\nAnswer: 2*s**5 + 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 23408 = 836*o for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 337147\/(-1830) - (-8)\/(-5). Which is bigger: d or -186?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/14*12\/12\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -x - 148, -3*t + 7*t = -x + 122. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/324221 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 826107?\nAnswer: 3, 509, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-26)*y\/(((y\/(y**(10\/9)*y))\/y*y)\/y))\/(y*((y**(-10)\/y)\/y)\/y*y)**(45\/2) assuming y is positive.\nAnswer: y**(4043\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 817*a**3*y + 761*a**3 + a*y wrt y.\nAnswer: 817*a**3 + a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000101010101 - -1010101011?\nAnswer: -1010111010101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 592, 1949, 4066, 6949, 10604, 15037, 20254, 26261?\nAnswer: 33064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h**2 + 6*h + 15. Let m be w(-9). Suppose -6*b - 87 = -m. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1921 + -1290. Let w = a + -358. List the prime factors of w.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-15)\/9 - -1). Suppose u + 9 = 2*j. Let n(o) = 2*o - 8. List the prime factors of n(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1224 + -974. Calculate the highest common factor of o and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 7577*q**2 - 30 + 6933*q**2 + 16 to the form m + p*q**2 + c*q and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 394481.5 nanometers to kilometers.\nAnswer: 0.0000003944815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 10*u - 50. What is k(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*q + 22*q - 2*q**2 - 2*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 5*t**3\/6 - t**2 + 30*t. Let s(x) = -1. What is -3*s(u) + w(u)?\nAnswer: 5*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 169*n**2 + 2*n. Let z be (-1 - -2) + -4 + 2. Let a be s(z). Suppose -163*v - 340 = -a*v. List the prime factors of v.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -11*u**4\/24 - 4408*u**2. Let l(m) = 859*m. Determine l(z(s)).\nAnswer: -9449*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26133 - -26331. Solve 30*o = -q + 48 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1*k**(1\/12)\/k*(k*k*k**(-2\/9)*k*k)**(-23))\/((k*k**(-1)*k)**(2\/7)\/((k\/(k**(-1\/3)\/k))\/((k\/(k**(4\/11)*k))\/k))) assuming k is positive.\nAnswer: k**(-231169\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 5)*(2 - 2 + i) + ((-3*i + 6*i - 2*i)*(2 - 1 + 0) + 37*i - 14*i + 18*i)*(1 + 0 - 3) as z + s*i and give s.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31478147?\nAnswer: 31478147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 4. Let z(f) = 2*f**2 + 76*f + 168. Let r(n) = 4*w(n) + z(n). Factor r(j).\nAnswer: 2*(j + 2)*(j + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106 + 266. Suppose 0 = 17*c - 13*c - f. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b - 1 - 2*b**2 + 4*b**2 - b**2 - 3*b. Let k be j(-3). Solve l = -2*x - 0*x + 4, k*l - 3*x = -20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r = -5*s + 3*r + 112 + 25, 6*s = -4*r - 170 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6671*j - 3*j**2 + 6669*j - j**3 + j**2. Let s(z) = -4*z**3 - 9*z**2 - 9*z. Let k be 12*-6*2\/16. What is k*x(y) + 2*s(y)?\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**1*s)**(1\/39)*(s**0\/s)**(-20))\/((s\/(s**(3\/7)\/s))\/(s\/s**(-5)))**(-49) assuming s is positive.\nAnswer: s**(-7679\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ht when two letters picked without replacement from {h: 2, t: 2, g: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-20)*2)\/((-22)\/44).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 - -42. Calculate the common denominator of a\/12 - 12\/16 and 17\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-1)*-20*(-221)\/650?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 263*f**5\/20 + f**4\/4 - 5*f**3\/6 + 3*f**2\/2 - 57*f. What is the tens digit of t(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4757, 9514, 14271, 19028, 23785?\nAnswer: 28542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3231504276 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19517 is divided by 79?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*r**2 + 25*r**2 - 38*r**2 to p*r**2 + l*r + f and give p.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*q = 0. Let i = -5.03 - -0.03. Let w = -4.5 - i. Put -5, w, q in increasing order.\nAnswer: -5, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*o + 6226 + 8459 = 0, 2*o + 2945 = h. Suppose 7*z - h = 110. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-18) - 13*(-4118)\/(-639).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 0)\/((-4)\/(-8)). Suppose -4*b - 2 - 13 = 5*k, v*k = -5*b - 23. Let w = 10207 + -10200. Solve 4*a - 2*h - w = k, 2*a + 4 = -h for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1006\/(-7042) + ((-2)\/14 - (-6)\/21)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 + 55 - -42 - ((-2 - 0) + 38)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 11*c**2 + 16*c + 42. Let k be y(-4). What is the greatest common factor of k and 638?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6645 - 1560?\nAnswer: -10425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 11*h + 8. Let w(t) = -t**3 + 11*t**2 + 19*t - 121. Calculate the remainder when w(11) is divided by c(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 8\/(-12))*-96. Suppose 16 = -3*c + r. What is the remainder when c is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -14*n - 79. Let t(j) = -79*j - 479. Calculate 13*r(c) - 2*t(c).\nAnswer: -24*c - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*q = 300*q - 211*q + 3784 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-39) - (-3 - (-9226)\/26). Let k = 511 + r. Calculate the lowest common multiple of k and 27.\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -211*c - 546. Calculate f(-5).\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 7*l - 3. Let b be q(-8). Suppose -3*h - 18 = -b*h. Is 72 + (h\/(-1))\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(4 + -2)*(-6 + 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -11a?\nAnswer: 11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003958387 to six dps.\nAnswer: -0.000396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 6 + 2 + (0 + 0 + 3)*(2 + 3 - 4) + 5 - 3 - 3 - 2 - 6 - 2)*(30*y - 30*y + 5*y**4) to the form b*y**3 + a + i*y**2 + p*y + c*y**4 and give c.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 567261188.986 - -446823.014. Let z = 567707961.0000114 - x. Let c = z + 51. What is c rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 1:31 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 3*g + 12. Let c be r(-5). Suppose 7810 = -c*f - 8046. Let w = f - -126809\/16. What is the common denominator of 149\/30 and w?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23370860 + -23373620.0694. Let z = -2778.969533 - l. Let g = z - -18.9. 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: What is the hundreds digit of 5147250136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**2 - 15*f + 10. Let s(n) = 7*n**3 + 6*n**2 - 8*n - 13. Let v be s(-1). Give y(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -4 + 1 + -3 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54940510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 20.9, 1\/3, 0.5 in increasing order.\nAnswer: 1\/3, 0.4, 0.5, 20.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*a + 3 = 4*b, 3*b - 6 = a. Let n(k) = 2*k + 4*k - b*k - 4*k. Let r(o) = 48*o. What is r(n(x))?\nAnswer: -48*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 8 - 8)*(0*t + t**3 + 0*t)*(-2*t**2 + 2*t**2 + 3*t**2)*(-2 - 1 - 2).\nAnswer: -105*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 20 = -8*x - i, 0 = -3*x - 3*i - 24. Let m = 8 + -4. Put m, -2, x, -10 in descending order.\nAnswer: m, -2, x, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 407 and 148?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/834624 and -31\/336.\nAnswer: 834624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n - 16*n = 608. Let o(g) = 2*g + 205. Let r be o(2). Calculate the greatest common factor of n and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132022 is divided by 131979.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12.8 and -0.034?\nAnswer: -0.4352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -234 - -249.9. What is x rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10200 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/4 + (-178)\/8. Let j = 53 + -99. Let n = d - j. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2681 (base 12) in base 16?\nAnswer: -1141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6 + 96\/198?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f**2 + 7*f + 7. Let m(r) = -5*r - r**2 - 3*r**2 - 1 + 1 - 5. Let o(z) = -5*c(z) - 7*m(z). Let q(b) = -5*b**2. What is o(q(y))?\nAnswer: -50*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7620, -8149, -9032, -10269, -11860?\n\"Answer: -177*m**2 + 2*m - 7445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1115860 divided by -1.\nAnswer: -1115860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txeutuxtdvdt. What is prob of sequence xdve?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*o - 61, 0 = -4*o + w - 50 + 9. Let f = -3 - o. What is the remainder when 38 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 103 + -99. Suppose 4*c = o - 375, 96 = -c + k*o - 6*o. Let s be (-32)\/(-80) - c\/(-10). Let m(x) = x**3 + 9*x**2 - x + 8. Determine m(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 19*d**3 - 115*d**2 + 34*d - 124. Give n(6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -9339?\nAnswer: 9342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 72\/11, -1, 5, -0.5, -2\/27, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 149, 152, 165, 194, 245, 324, 437?\n\"Answer: y**3 - y**2 - y + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 41*u**2 + 178*u - 177. Determine v(-36).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2853 and 255819.\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -1051.\nAnswer: -1046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -a4?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9*1\/(-7) + 1. Let k = -0.29 + 0.29. Let z = 0.2 + -0.4. Which is the closest to k? (a) z (b) s (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -2*z - 15*l, 4 = z + 5*l - 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42452530 is divided by 68?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 433, 324, 93, -302, -903?\n\"Answer: -7*j**3 - 19*j**2 - 3*j + 462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 minus 0.7?\nAnswer: -81.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5861.856 decades?\nAnswer: 586.1856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 0)*3\/6. Suppose -7*c + 8*c = t. Suppose -4*f + c*f + 68 = 0. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -45852?\nAnswer: -45855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (162\/675)\/(3\/10).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -38) + -7 - (-9 - -6).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a day in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 234090 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 2*g + g)*(20 - 21 + 60)*(g - 4*g + 5*g).\nAnswer: 236*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 723.\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -6230\nAnswer: -3115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 20 - 15\/2*y**2 + 0*y**3 - 5\/3*y**4 - 15*y. Let o(x) be the first derivative of n(x). Differentiate o(v) wrt v.\nAnswer: -40*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2450296102 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 16*m - 29. Let d be n(13). Suppose -d*z + 2007 = -8483. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67810.\nAnswer: 2, 5, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 181 + -6022211951\nAnswer: -6022211770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1999 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 25*a**2. Let f(q) = -3*q. Determine f(b(s)).\nAnswer: -75*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1005.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccjc when four letters picked without replacement from {c: 9, l: 4, j: 6}?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17157236 + -65812483. Let o = 32455247 + j. Round o to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + -3 + -1 + 25. Let b be (u\/(-10))\/((-7)\/35). Does b = 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 40*q**3\/3 + 38*q**2 - q + 39. What is the tens digit of s(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 8*r**3 - 14*r**2 + 12069*r - 36224. Give m(3).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - -27.5. What is p rounded to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*l**4 - 6140489*l**3 - 53348207*l?\nAnswer: 108*l**2 - 36842934*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + y + 173 - 154, 0 = 2*o - 2*y - 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 142201105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 - 1. Let p = -22 + 19.9. Let l = p - -1.6. Put -0.4, l, a in ascending order.\nAnswer: l, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24 - -17)*(-3*11 - -1). Suppose -b*f + 226*f - 1102 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2584\/104 + (-2)\/(-13) - -3. Suppose -6*a + s - 10 = 0. Let x(d) = -d**2 + 3*d + 1. Give x(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 + -23. Suppose -y*u + 22*u = 97. Let x = u + 327. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*p**2 + 6936\/7*p + 4009008\/7.\nAnswer: 3*(p + 1156)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/11 + -1\/66. Let q(m) be the second derivative of 0*m**2 + 1\/10*m**5 + 0 + 2*m + g*m**3 + 0*m**4. Find the second derivative of q(n) wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26207967 is divided by 7147.\nAnswer: 7065","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 12*v**2 + 3*v**2 - 5*v)*(4 - 3 - 3).\nAnswer: 18*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 15 = 11. Suppose 0 = 10*q - 25 - 285. Calculate the remainder when q is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2724 and 1942578.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a - 5 = 19*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -10. Let x be -2*1 - (-153017 + f). Round x to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3394, 1993, -5, -4 in descending order.\nAnswer: 3394, 1993, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5 = 0, -v - j + 13 = v. Suppose c + 2*c = -v. Which is smaller: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0341290182 rounded to three dps?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3625 + 3625.002637. Round t to four dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 43. Put -2, -4, 5, s in descending order.\nAnswer: 5, s, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*h**2 - 14*h**2 + 13*h**2 in the form q + o*h**2 + s*h and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/((r**(-4\/11)\/r)\/r))\/(r\/(r\/((r\/(r*r*(r*r**(1\/3))\/r*r*r))\/r))))**30)**(-29) assuming r is positive.\nAnswer: r**(-73660\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 51\/2 of a kilometer?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3152 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 5*m**2 - 4*m + 2. Let r be u(-5). Let k = -32 + r. Let p be (2 - -2)*k\/56. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -99159, -99146, -99135, -99126, -99119, -99114?\n\"Answer: -v**2 + 16*v - 99174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 1:22 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 9*l**2 - 4*l + 24. Let t be b(-8). Let i be 2\/t*60\/15. Let h(s) = -s**2. Let c(f) = 6*f**2 + f - 1. What is i*c(j) - 4*h(j)?\nAnswer: -2*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.61, -0.1, 4 in increasing order.\nAnswer: -0.1, 0.61, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4635 - -4649. Solve q + 8 = 5*a, -2*q + 4*a - 24 = -l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7802, 62285, 210152, 498095, 972806, 1680977?\nAnswer: 2669300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**5 + 9*c**4 + 2*c**3 - 72*c**2 - 64*c = 0. Calculate c.\nAnswer: -2, -1, 0, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.17 in 1\/9, 0.5, 1, 21\/16?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111101010000001101 (base 2) to base 7.\nAnswer: -2063316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 220587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.014794 * -40.\nAnswer: -0.59176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -424 or -24?\nAnswer: -424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(5200) - sqrt(5200)) + 2 - ((-1*sqrt(624) - sqrt(624))*-1)\/sqrt(12)*-2)**2.\nAnswer: 32*sqrt(13) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -172011, 3, -0.1, 0.4 in increasing order.\nAnswer: -172011, -0.1, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*i - 18 = -43*i. Suppose -i*y + 1786 + 635 = 0. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 44 = 16*c. Let g(j) = 5*j**3 - 2*j**2 - 6. Let r(i) = -10*i**3 + 4*i**2 + 11. Determine c*g(b) - 6*r(b).\nAnswer: 5*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24753 = -23*q + 21477. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -56\/5. Solve b*q + 8\/5*q**3 - 2\/5*q**4 + 0 - 2*q**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5205729 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 185795.3119 - -0.1.\nAnswer: 185795.4119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 5*y + 4. What is the smallest common multiple of 18 and y\/3*(-9)\/(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 346c4?\nAnswer: -346c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/4186059 and -53\/82.\nAnswer: 8372118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -12270*f - 6930. Let x(t) = 12128*t + 6929. Let r(y) = -5*n(y) - 6*x(y). What is the first derivative of r(j) wrt j?\nAnswer: -11418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*b - 37456, 2*b + 5*g - 22485 = -b. List the prime factors of b.\nAnswer: 2, 5, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {k: 10, b: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -26974249 to the nearest one hundred thousand.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 5) in base 9?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4453087 a multiple of 764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7.167816g?\nAnswer: 0.000007167816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/60)\/((16\/(-14))\/((-1040)\/140 - -6)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-195)\/(-325))\/(4\/(-5)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.3 (c) 2\/7 (d) 4\/3 (e) -15\/148 (f) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -t - 5*y, -9*t + 6*t = 3*y - 3. Let j(a) = -81*a + 35*a + t*a**2 + 46*a. Let p(v) = 2*v + v - v. What is p(j(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 144089202 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -14. What is the closest to 0 in 1\/2, t, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -17a0?\nAnswer: -17a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 150*o. Let v(i) = -239*i**2 + 1. Calculate y(v(k)).\nAnswer: -35850*k**2 + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 + 332?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 397 + -270. What are the prime factors of i?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 3*m + q, -4*m + 2*q - 3*q = -71. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 9:48 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 15*v**3 + 10*v - 10. Let a(p) = 3 - 28*p - 3 + 27*p + 1 - p**3. What is -10*a(u) - o(u)?\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872611 != 1872618?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/35931744 and 145\/80846424.\nAnswer: 323385696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**3 + 30*l**2 + 8 - 30*l**2.\nAnswer: 6*l**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3 = -5*g + 14, 3*g - 2*u = 4. Suppose 3*r + a - 215 = 2*a, 5*r + g*a - 373 = 0. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 4 + -3 - -3. Let o(t) = -t**3 + 2*t**2 + 2*t + 3. Let z be o(v). Let r be (2\/(-4))\/(2\/12). What is the nearest to z in 0.5, r, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**4 - 367*i**3*r**2 + 2*i**2 - 2*i*r**2 - 22*r wrt i.\nAnswer: 48*i - 2202*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 1:58 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2026 - -301?\nAnswer: -1525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 167\/311 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 346\/5 - 69. Which is the closest to -1\/4? (a) t (b) 2\/3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149373273, -298746546, -448119819?\nAnswer: -597493092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r - r**2 + 3*r + 0*r + 4. Let s be o(7). Suppose 2*f = 4*f - s. Calculate the remainder when f is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2561 and 2167.\nAnswer: 28171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27257 - -27257. Let y(w) be the second derivative of -3\/8*w**4 + 1\/120*w**6 - 7\/8*w**2 - 5\/6*w**3 - 1\/20*w**5 + x + 10*w. Factor y(p).\nAnswer: (p - 7)*(p + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443\/21 equal to 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-3 + 16\/6). Let u be (b + (1 - -1))*7. What is the highest common divisor of 35 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91352, -365082, -821190, -1459676, -2280540, -3283782, -4469402?\nAnswer: -5837400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxixhhihhxiiiiii. Give prob of sequence ix.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22 + -45346315?\nAnswer: -45346293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0085095 rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16724 - 16729. Sort a, 42, -8, -1 in decreasing order.\nAnswer: 42, -1, a, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**2 + 3*s**5 + 4801*s**3 - 46*s - 2 - 2530*s**3 + 5*s - 2423*s**3 + 3*s**6 wrt s.\nAnswer: 360*s**3 + 180*s**2 - 912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4454 divided by -3?\nAnswer: -4454\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 2*v - 10, 0 = -72*v + 75*v + 4*k - 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 - 2*s**2 + 0*s**2)*(s - 4*s**2 + 4*s**2 + s**2).\nAnswer: 2*s**4 + 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 859.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -129, 6 in descending order.\nAnswer: 6, -6, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -30*m**2 - 657*m - 2659. Give f(-16).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 4*w - c, -2*w + 4*c + 0 = 16. Suppose -f = 3 - 2. Let j = f + w. Are j and -7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 234217.\nAnswer: -234217.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-18)*3 + 10\/15. What is the second smallest value in 4, -4\/5, f, -30?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6\/6*-7)\/((2898\/(-69))\/378)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 4. Let u = h + -2. Suppose u*q = -5*q - 16000. Round q to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003772166 rounded to six dps?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5108 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 208*c**2*v**2*y**3 + 3*c**2*v**2*y + 6*c**2*v*y + 92*c**2*y**3 + c*y - 3*v*y**2 - v*y wrt y.\nAnswer: 1248*c**2*v**2 + 552*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 - 2)*30 - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**3 - 3*t**2 - 3*t - 1. Let o(w) = 9*w**3 - 5*w**2 - 5*w - 1. Determine -5*c(q) + 3*o(q).\nAnswer: 7*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2281482 is divided by 201.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 17 = -11. Let b(p) = 14*p**2 + 194*p - 15. Let t be b(y). Solve -d + 2*o + 2 = 0, 3*o + t = 5*d - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -171, -328, -473, -600, -703, -776, -813?\n\"Answer: x**3 - 164*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 314961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-14)\/210)\/((-19)\/6)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1182*x + 1514*x - 61131 = -17995 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/17, 3\/4, 2\/5, -12?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -39, -68, -115, -180, -263, -364?\n\"Answer: -9*z**2 - 2*z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - p = p + 9, -3*j - 2 = p. Let b = j + 0. Let t = -162 - -1137\/7. Which is greater: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k. Let p(w) = -3 - 2 + 0 + 11*w + 2 + 6. Give s(p(n)).\nAnswer: -22*n - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 0.0292970272.\nAnswer: 4.9707029728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c*y**5 - c*y**4 + 2*c*y**2 + c + 2*y**4 - 3*y wrt y?\nAnswer: 120*c*y**2 - 24*c*y + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 5:04 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f**2 + f - 7. Let t(j) be the third derivative of j**5\/15 - j**4\/24 + j**3 + 2*j**2 + 498*j. What is -3*b(q) - 4*t(q)?\nAnswer: -q**2 + q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 22*23.96\nAnswer: 527.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 26. Which is the closest to 0.1? (a) 0.4 (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n + 3 = 0. Suppose n*u + 6 = -3*c + 30, -2*c + u = -10. Let y be (-4)\/c + (-83996)\/6. Round y to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.68237 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 8*l = 68. Let q = l - 47. What is the remainder when q is divided by (-1 - 13\/(-2))*2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -132982, -133002, -133012, -133006, -132978, -132922, -132832?\n\"Answer: c**3 - c**2 - 24*c - 132958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5561995 to the power of 1\/2, to the nearest integer?\nAnswer: 2358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 32*z + 581. What is k(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 3:07 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 - 13605843*h + 95241048.\nAnswer: -3*(h - 7)*(h + 4535288)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/2 and 73\/325572.\nAnswer: 325572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3074 - 2.\nAnswer: -3076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2089987 from 238.87002.\nAnswer: -2089748.12998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6*d**3 + 4*d**2 - d + 14. Let x be r(6). Suppose x = 8*k - 552. Calculate the least common multiple of 22 and k.\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -66 + -3a?\nAnswer: -a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 + 13072\/(-86688)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5521470*w. Let z(b) = -2*b**2. Determine z(s(k)).\nAnswer: -60973261921800*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23b (base 16) to base 6.\nAnswer: -2351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 5)*(7*a - 1 + 1) + (-4 + 4 + 2)*(-1 + 2*a + 1).\nAnswer: -38*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 10*g - 171 = 0. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 - 68. Let q = -1.1 + 6.1. Let r = q + o. Which is the nearest to r? (a) -0.4 (b) -1\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.48 at most 2864?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -d + 3. Let i = 9 + 1. Calculate the smallest common multiple of i and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34897 (base 10) to base 4.\nAnswer: 20201101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -5*l**5 - 330*l**4 - 5035*l**3 + 16030*l**2 + 78540*l + 57800 = 0.\nAnswer: -34, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4995.42 weeks to minutes.\nAnswer: 50353833.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4967 (base 11) in base 7?\nAnswer: 24624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8363 is divided by 141.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3 + 92*v**2 - 1212*v + 3744 = 0 for v.\nAnswer: -104, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1706914565 or 0?\nAnswer: -2\/1706914565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*f + 96 = 2*f - 2*c, 4*c + 9 = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405 + 1165 = -152*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 minus 12494.176?\nAnswer: -12496.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l + l + l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 y when four letters picked without replacement from mymmymmmwwmw?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 1. Let g be i(-3). Let o = -257 - -90. Let c = o - -167.1. What is the nearest to 1 in 1\/4, c, g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38514 divided by -131.\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1080 + 1080 - 2*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -109766108*n**3 + 95758454*n**2 wrt n.\nAnswer: -658596648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/186060 and -101\/186060?\nAnswer: 186060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -873328 (base 9) in base 10?\nAnswer: -520775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(1\/15))**(-11)\/(c**6\/c)**(-4\/13) assuming c is positive.\nAnswer: c**(-1702\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/5)*z**(-4\/9)*(z*z**(-1\/6))**(-13) assuming z is positive.\nAnswer: z**(-1051\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 924?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -93 + 155. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -580403 + 580403 - 593*q to the form i*q + n and give i.\nAnswer: -593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -85, -204, -371, -586, -849?\nAnswer: -1160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-94)\/(-1880))\/((-6)\/(-16))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228940 is divided by 45783.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 1880.\nAnswer: 20680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/10346207 and -28\/5219.\nAnswer: 175885519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -4 + 187\/(-66).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 194 and 14453.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 273*l - 7623. Calculate g(27).\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40557 is divided by 1559.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 204100130 (base 6) to base 10\nAnswer: 3553686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 10. Calculate the remainder when 6 is divided by y + 3 + -2 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(3\/6))\/((-30)\/(-2)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2510533, 2510360, 2510185, 2510008, 2509829, 2509648, 2509465?\nAnswer: 2509280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 2 - 2 - 295*x + 300*x - 5*x**3 - 2*x**4 - 3*x**4.\nAnswer: -5*x*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3915 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -371*b**2 + 168*b + 21. Let v(z) = -185*z**2 + 101*z + 12. Calculate -3*f(j) + 5*v(j).\nAnswer: 188*j**2 + j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22471\/18 - -1253. What is the common denominator of k and -29\/186?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 109 + 3?\nAnswer: 10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -723095 - -1847732. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 112, 68, -54, -296, -700?\n\"Answer: -7*m**3 + 3*m**2 - 4*m + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**2 + 5*u. Let j(v) = -3*v**2. Calculate z(j(p)).\nAnswer: -27*p**4 - 15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 4\/5, 1, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-60)\/6)\/(-14 + (4 - -9)). Let k(t) = t**3 - 9*t**2 + 2*t - 12. Determine k(c).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-9) - 308\/(-12). Let y = z + -16. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8769 - -1?\nAnswer: -8768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 4, x: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1323 * 2.5.\nAnswer: 3307.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6335 is divided by 469.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 65421, 131021, 196621?\n\"Answer: 65600*d - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**6\/720 - h**4\/48 - 5*h**3\/6 - 6*h**2. Let x(n) be the first derivative of t(n). Factor x(d).\nAnswer: (d - 1)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*k - 274 - 124 = 832 + 4146 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248882 is divided by 82958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*f + 144*f = -1989 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3 - 248*h**2 + 36383*h - 568710 = 0. Calculate h.\nAnswer: -355, 18, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 - 64 = -3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.091 - -0.911. Let v = -1.22 + m. Let j = -51\/5 + 209\/20. Sort j, v, 2 in decreasing order.\nAnswer: 2, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 125 = -4*f + 139, -3*f = -q - 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85\/2 + -43. What is the second biggest value in -3\/5, 1\/8, n, 0.5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -183*g + 182*g + 138. Calculate the remainder when g is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.35 - -0.35. Let f be -1 + 1*(-367)\/(-5). Let p = f + -72. Sort p, x, 4 in ascending order.\nAnswer: x, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**5\/4 - 305*d**4\/12 + 815*d**3\/3 - 660*d**2 - 1832*d. Factor j(t).\nAnswer: -5*(t - 4)*(t - 1)*(t + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17 (b) 1\/12 (c) 7 (d) 1\/4 (e) 2\/5 (f) 0.3 (g) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*x**3 - x + x + 76*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 greater than -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -861 + 24979*g**2 + 861.\nAnswer: 24979*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 9567174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011000000011001 + -10?\nAnswer: -10011000000011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 226 + 166243?\nAnswer: 166469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n - 168 = -24*n. Calculate the remainder when 50 is divided by n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*z - 134 + 938 = 235*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1631 is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/7*m**2 - 12\/7 - 12\/7*m.\nAnswer: -3*(m + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 2726.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 43, 47, 55, 67?\n\"Answer: 2*t**2 - 2*t + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**8\/42 - o**7\/15 - o**6\/30 + 4*o**5\/15 - o**4\/6 - o**3\/3 - 4*o**2 - 4*o. Let v(r) = 0. What is r?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5490 is divided by 141.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 181215 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-42)*(-1)\/4.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -q**7\/2520 - q**6\/144 + q**5\/120 + 2*q**4\/3 - 4*q. Let u(s) be the third derivative of p(s). What is u(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/30*(-21 - 17928\/(-840))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 413 (base 6) to base 8.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2908123249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/(-21)*15*1 + 1. Sort 5, 2, 3, h in increasing order.\nAnswer: 2, 3, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 6 - 11 - 9 + 18*i**2 - i**3 - 8 - 10*i. Is b(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28614.\nAnswer: 2, 3, 19, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/126506674 and -43\/6.\nAnswer: 379520022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12246961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 5\/3*c**3 + 1\/4*c**4 + 5\/2*c**2 + 1 + 5*c. Let f = -2 - 2. Give j(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 8 = -2*g, -5*g = -u - g - 26. Let l(p) = p**2 + 2*p - 17. Let n be l(u). Let x = -3 + 5. Solve 2*v = 3*h - x, n = -h + 3*v - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l**2 - l + 54. Calculate q(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -45 + 8 + -11. Let z = p - -59. Solve -3*k = -2*u - z, -4*u - 17 = -5*k - 0*k for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 10*u + 233. Let m be a(-11). Solve -10*f - 2 = -m for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20703\/62 greater than -335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 837 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 4*l + 2*l)*(-492*l + 913*l - 471*l - 435*l).\nAnswer: -485*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 11061.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 1\/3*y**3 + 3 - 1\/2*y**2 + 0*y. Find the second derivative of g(l) wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 477*u - 2*u**2 - 2*u**3 - 5*u**3 - 477*u - 10*u**3 as o + c*u**3 + s*u**2 + l*u and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37390 greater than 37388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - 8. Let q be -11 + 10\/(-270) + 1842\/162. Let o = -9 - -5. Sort o, z, q in decreasing order.\nAnswer: q, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-21)*(-6)\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11376*s + 5738*s - 6950 = -5777*s for s.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 528807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2\/5 + 11006*x\/5 - 22004\/5 = 0. Calculate x.\nAnswer: 2, 5501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 6:41 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -338*x**2 + 1. Let v(y) = -649*y - 3. Determine v(g(m)).\nAnswer: 219362*m**2 - 652","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155965190?\nAnswer: 2, 5, 29, 537811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -146 - 89) + (13\/(-3) - 6\/9)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -1.384.\nAnswer: -3.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.046, 2\/7, -2643?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33316 + 42260?\nAnswer: 105606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (201*t - 96*t - 74*t)*(0 + 1 - 2) + 5*t - t - t to f*t + r and give f.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 12. Let m be g(9). Let i be (7\/m)\/(1\/6). List the prime factors of 2*i\/(-8)*2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-7\/5))\/f**(-14) assuming f is positive.\nAnswer: f**(73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(1 - (-1 + 1)). Suppose -16 = -k - i*k. What is the remainder when (8\/6)\/((-2)\/(-45)) is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/310 and 60\/9889.\nAnswer: 98890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 12:48 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, 111.4, 2\/3?\nAnswer: 111.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 6. Suppose -2*q + 19 = 3*s - 6*s, -5*q = o*s + 5. Suppose 0 = w - 0*w + z - 5, 0 = -4*w - 3*z + 19. Solve -5*h + w*l - 8 = l, -q*l = 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 0 - 3*r**2 + 0*r + r**3 + 1\/24*r**4. Let f be g(-5). Solve -15 - 20 = -5*s - 5*z, f = 3*s - z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 437 = -7*v + 486. Which is the closest to 0? (a) 0.6 (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2\/9 - 4958*s\/3 + 29740\/9 = 0. Calculate s.\nAnswer: 2, 7435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2. Suppose 165 - 10 = 31*x. Let k(g) = -2*g**2 + 1. Give x*s(b) - 3*k(b).\nAnswer: b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 3*b + 5*b)*(-234 - 447 + 515) + 3*b + 0*b - 2*b.\nAnswer: -331*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-35) + 16\/56?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/88 and 43\/52501?\nAnswer: 4620088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 1720*o**3 + o**2 - 139*o + 285. Is i(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 76*h**2 + 1. Let w(y) = -2*y + 31. Determine k(w(l)).\nAnswer: 304*l**2 - 9424*l + 73037","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5096650590 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {p: 5, f: 2, u: 3, c: 3}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8055893 + 0.1141487. Let q = k + -0.92. Round q to five decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (36\/(-15))\/(2\/(-10)). Let o = g + -9. Sort -0.2, o, -3\/4.\nAnswer: -3\/4, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -231851 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u + 12. Let t(k) = -k. Let p(x) = t(x) + y(x). Let h be p(-9). Suppose g + 9 = 3*s, h*s + g = -0*g + 15. Solve -s*q - 5 = 11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34.3 - -35.128. Let j = -0.528 + l. Sort 0.2, 2\/7, -4, j in descending order.\nAnswer: j, 2\/7, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -165*h + 175. Give q(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (2 + -4 - 0)) + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + q**2 - q**2)*(3 - 3 - q**2) + (-q**3 - 13*q**3 - 2*q**3)*(3*q - 5*q + 0*q).\nAnswer: 33*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00034844 to 5 decimal places.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/5)\/(19\/(2375\/(-10))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from assaaassoaa. Give prob of picking 2 o, 1 a, and 1 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2702\/16 - 54\/(-432)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13961 is divided by 41.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(243) + 0 - -3*1*sqrt(243)) + -5 + -1 + 0 + sqrt(243) + -5)**2*-6.\nAnswer: -726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 57\/(-76) + 2\/(-8). Let s(k) = 123*k**2 - 3*k - 4. What is the remainder when s(a) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**1)*s)**(-39)*(s*s\/((s**(3\/8)\/s*s)\/s)*s)\/s**(-9))\/((s**(-3\/13)\/s*s*s*s)\/(s\/s**(-5)))**43 assuming s is positive.\nAnswer: s**(20233\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1176*s - 1191*s - 255 = 0 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 408 or 56486?\nAnswer: 56486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*n + 2*n - 17, r + 29 = -5*n. Put 9, n, 2, 4 in descending order.\nAnswer: 9, 4, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 1, -0.06, -3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a centimeter in millimeters?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 117951.897 hours?\nAnswer: 702.094625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 43966024 divided by 4\nAnswer: 10991506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 39?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -152*a**3 + 76*a. Let v(j) = j. Determine -c(i) + 76*v(i).\nAnswer: 152*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0807? (a) 2.76 (b) 8 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/4586 and 48\/98599?\nAnswer: 197198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*n - 0 + 48, -4*n = -3*o + 70. Let b be (2 - 2) + 12\/o. Let k = -18 + 20. What is the second biggest value in k, -2\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + 2. Suppose -y = -0*g + 3*g. Suppose 2*b + 12 = 6*b. Put b, g, 0 in ascending order.\nAnswer: g, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71c80 (base 14) to base 11\nAnswer: 177a50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -5 (c) 854\/143 (d) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 0 - 4 - 3*m**4 - 4 + 2*m**2 - 2*m**3 to the form c*m**3 + b*m**4 + j*m + n*m**2 + y and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 6 - 4)*(-1 + 56*i + 3 - 48*i)*(-3*i - 6*i + 2*i) + 10*i**2 + 43 - 43 to the form j*i + u + n*i**2 and give j.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 2*w - 10. Suppose -2*d = w*d - 124. Suppose 3*o = -4*x + d, -13 = 5*x + 3*o - 48. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 20 = 0, 93 = 4*u + g - 152. Suppose 24 = -2*d + v + 2*v, 5*d - v + u = 0. Let j = 40 + d. Calculate the smallest common multiple of j and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -11*l**3 + 8*l**2 + 14*l - 17. Let h(x) = -4*x**3 + 3*x**2 + 5*x - 6. Let r = -175 + -160. Let m = r + 343. What is m*h(v) - 3*z(v)?\nAnswer: v**3 - 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-20)*318\/(-2385)*62*9\/(-3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104*b**5 + 8*b**3 - 1311*b.\nAnswer: -2080*b**3 + 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 12. Let w be 584\/14 + (-8)\/z. Let j be (2 + 1 + -1)*14. Calculate the greatest common factor of w and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(42\/(-6))*1\/(-3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, y: 2, h: 2}. What is prob of sequence yyhh?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 1)*(19*o - 1 - 21*o + 7*o)*(11*o**2 + 17*o**2 - 7*o**2) as m*o**3 + z + x*o + y*o**2 and give m.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -37. What is the units digit of (-1372)\/(-35) - (-4)\/r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6922038.704 rounded to the nearest ten thousand?\nAnswer: -6920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n - 2*n + 4*n)*(0*n + 3*n - 4*n) - 61908*n**2 + 65602*n**2 + 0 + 0 + 0 as g*n**2 + o + f*n and give g.\nAnswer: 3693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.071, 0.1, 0.82, -0.2 in descending order.\nAnswer: 0.82, 0.1, 0.071, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 25349 = w - 99371. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a meter in centimeters?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 + 1.1\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-2 + 1 - -2). Suppose -4*u + 2 + 10 = i. Suppose u*a + 22 = 4*a - 2*l, -2*a = 3*l - 44. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 5*o**2\/2 + 14*o - 4977. Let y(d) = -d - 1. Give -f(g) - 3*y(g).\nAnswer: -2*g - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 211324241?\nAnswer: -211324231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(-4))\/((-2)\/1))\/((-2)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h + 1. Let o(d) = 5*d - 5 + 5 - 1 + 3*d. Give -5*o(y) - 6*p(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 18*k**2 + 28*k - 11. Let f be d(20). Suppose 4*i - f = 523. Is i a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35*-5*(-8)\/(-800).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 648 - 648. Let k = 10 - 2. Let n = k + -7.9. What is the fourth biggest value in h, n, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24989*p - 12315*p - 12686*p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 3*n + 5. Let v be k(3). Let h(t) = 230*t - 33. Is h(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c - 107. Let n be v(-19). Suppose 4*b + 20 = w, -b + 3*w + 12 = n*w. Which is smaller: b or -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12304 at least as big as -12308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-1 - -2 - -2). Let g = 49 - 119. Let r = g - -75. Solve -5*c - 3*x = -29, -3*c + r*x - 19 = -k*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 112*q - 115*q + 48*q.\nAnswer: 45*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 11, 19, 25?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -642938390041\/281790 - -70730454\/31. Let k = 1\/909 + n. Find the common denominator of k and -15\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17897 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 14*s - 6. Let m(k) = -15*k + 7. Let a(f) = 5*m(f) + 6*x(f). Let j be a(1). Suppose -2*b = -j - 6. What is the remainder when 12 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -9*v**2 - 47*v + 21. Let n(j) = -4*j**2 - 23*j + 10. Let d(y) = -6*i(y) + 13*n(y). Let c be d(8). What are the prime factors of (8 + -5)*2\/(c\/(-14))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*n + 2 + 6*n - 6*n to the form b + o*n and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 2\/247, 5, 1\/2, 1\/3 in descending order.\nAnswer: 5, 1\/2, 1\/3, 2\/247, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4540218 millilitres to litres.\nAnswer: 0.0004540218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(6\/8*-20)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*((-6)\/12)\/1. Find the third derivative of 54*o**3 + 18*o**2 - 45*o**2 + 30*o**m wrt o.\nAnswer: 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2112177.8000009 + -2112178. Let i = 0.28 - 0.48. Let z = b - i. What is z rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6*k + 3. Let i(d) = -d. Let p(r) = 5*i(r) - x(r). Let w(c) = 1. Let u(j) = -4. Let t(l) = 3*u(l) + 10*w(l). Determine -2*p(a) + 3*t(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**3 + 5*r**2 + 6. Let g(a) = -a**3 - 1. Let i(u) = -6*g(u) - s(u). What is the third derivative of i(p) wrt p?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 6\/1067041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.798 greater than -5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*b**2 - 11472*b - 653184.\nAnswer: -4*(b + 84)*(11*b + 1944)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -187 - 145 - 247 - 322 + 191 - 5*w in the form m*w + f and give f.\nAnswer: -710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15927 + 20222?\nAnswer: 36149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2931 is divided by 617.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 986642.7 litres in millilitres?\nAnswer: 986642700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26863 less than 26869?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (136 - 5919*u**2 + 5917*u**2 - 12*u - 98)*(4*u**2 - 3*u**2 + u**2).\nAnswer: -4*u**4 - 24*u**3 + 76*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 420\/(-98) - (2 - 6). Sort -8, 1\/2, 5, d.\nAnswer: -8, d, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o. What is l(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*(sqrt(6050) + 0)*6)**2.\nAnswer: 10454400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21*(-3)\/(-9) - 1812\/(48\/(-4)). Solve -72*j = 130 + b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24415986 + 0.2?\nAnswer: -24415985.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -136635114?\nAnswer: -136635121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2 = -48. Let i(z) = l*z + 0*z + z**3 - 48*z**2 + 51*z**2 - 8. List the prime factors of i(5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2965 - 2964. Sort j, -2, 0, 66 in decreasing order.\nAnswer: 66, j, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -235478249 by -235478249.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -4490555349320.\nAnswer: -4490555349322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6*b**2 - 160*b + 106. Let d be a(26). Solve -4*k + 27 = -d*k - 5*p, 5*k = p + 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -125.5828\nAnswer: -627.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5854 = p, 0 = -31*y + 30*y + 3*p - 5838. Round y to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1452058 to the nearest integer?\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -90*b**2 + 76113*b + 22838. Give f(846).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q - 1. Let h(v) = 82*v - 2. What is h(a) - 3*i(a)?\nAnswer: 88*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2242 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - 4*u + 4*u)*(3*u**2 - 2*u**2 - 2*u**2) + (112 + 24*u**4 - 112)*(-4 + 2 - 2*u + 7).\nAnswer: -50*u**5 + 120*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, i: 1, d: 1, y: 1, x: 4}. What is prob of picking 1 s and 1 y?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - ((sqrt(21) - -5*sqrt(21)*-3) + sqrt(21)))\/(sqrt(28)*3))**2.\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 212 and 3180.\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 161? (a) -5 (b) -4 (c) -3 (d) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -30, 0.4, -38405\/19?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 22*v**2 + 294 - 295 - 2*v**2. Let f = 0 + -1. Determine m(f).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (1 - 0)) + (1 - -11).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m. Let f(r) be the third derivative of r**4\/24 - 239*r**3\/6 + 2772*r**2. Calculate f(z(i)).\nAnswer: 6*i - 239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/9 (b) -4 (c) -1 (d) 181 (e) 1 (f) 0.2 (g) 1.64\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28098 by 2007.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-11*s + 14 - 14)*(3*s + 0 + 4 - 5) + 4*s + 3*s**2 - 4*s)*(3*s - 3*s - s).\nAnswer: 30*s**3 - 11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v + v + 560082*v**2 + 6*v.\nAnswer: 560082*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 675.3 - 676. Let q = 2 - 1. Let i = q + g. Which is the third smallest value? (a) 4 (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77811 and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -2\/7, -2\/9, 0.3, -10665, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-378 - -404)*(-48)\/39.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 11\/12*p**4 + 0*p**3 + 85\/2*p**2 - 54*p + 0. Differentiate x(w) wrt w.\nAnswer: 22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 9*d**2 + 11*d - 12. Calculate g(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21555 (base 11) in base 8?\nAnswer: 75056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 380 and 1.\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 99309517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17\/2820 + -8387\/1181580. Is q bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7*r - 4*r - 5*r. Let i(f) = 7*f + 5. Let z(o) = -10*o - 7. Let v(x) = 7*i(x) + 5*z(x). What is n(v(w))?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1692.8, -32, 5, -0.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + sqrt(99)) + 5)**2.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 0 + 0*r - 5 - 3*r + r. Let f be v(-6). Let o be f\/20 - (-10)\/25. Which is the biggest value? (a) -0.2 (b) o (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -373047390 divided by -26069\nAnswer: 14310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47\/78 - -10\/13. Let y be 266\/874*(-10)\/105*-3. Put x, y, -3\/5, -2 in descending order.\nAnswer: x, y, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 482\/9 - 1057\/18. Calculate the common denominator of x and 45\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/10 + 20\/25\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 49?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 12*x - 13. Let d be m(-11). Let p(j) = -j**2 + 3*j**2 + j**2 + 2*j. Does 8 divide p(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 31*v**2 - 4*v + 1. Let b(n) = 11*n**2 - n. Let y(o) = 17*b(o) - 6*u(o). Determine y(4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - -7 - 7 - -109. Let y = b - 62. List the prime factors of y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 18, 0.3.\nAnswer: -3, 0, 0.3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 3:52 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, x: 2, r: 1, a: 2}. What is prob of sequence nr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 12438 = -3401. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0.6 (c) 2 (d) 5 (e) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b - 6. Let f be m(0). Let l(v) = 21*v**2 + 3*v - 3. Let p(c) = c**2 + c - 1. Let i(h) = f*p(h) + 2*l(h). Let o(u) = -2*u. Give i(o(j)).\nAnswer: 144*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + g + 14. Suppose 5*z + 3*w = -3, 2*z - 6*z + 4*w + 4 = 0. Is 4 a factor of k(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -31. Let m be 1*(6 + -3) - y. Calculate the greatest common factor of 15 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 1636.\nAnswer: 8180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1220 - 589. Are j and 633 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 213*j**3 - 12 - 207*j**3 - 10.\nAnswer: 6*j**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -12\/5, -4\/21, -4, -0.044, 2?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 27552.9618 minutes?\nAnswer: 2.73342875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -330179 and 3.5086.\nAnswer: -330175.4914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + sqrt(539) - (sqrt(539)*-1 + 4))**2 + (-4*(2 + sqrt(11)) + sqrt(275)*-3)*4.\nAnswer: -356*sqrt(11) + 2224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -230354 divided by -773?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3549*q + 104195 = -159638 + 68638 for q.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k + 4*k + 2*k - 6*k + 5*k + 3*k + (-2*k + 0 + 0)*(0 + 0 - 1) + (1 - k - 1)*(3 - 4 - 1).\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by (3 - 20 - 0) + 56.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 1:58 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 261\/1496 + 1\/136. Let h = 18 + -13. Does h = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*m + 12, -4*m - 4*q - 4 = 8. Let o be 0\/(-1) + m\/(-40). What is the biggest value in o, -3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 11 - 7 - -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1010, 4049, 9116, 16211?\n\"Answer: 1014*h**2 - 3*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 346 + 0 - (150\/39 - 4). Let a = l - 346. Let b = 0.23 - -10.77. What is the third biggest value in b, -4, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 14*j**2 + 4*j. Let d(n) be the second derivative of -55*n**4\/12 - 5*n**3\/2 + 266*n. Determine 4*d(l) + 15*x(l).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/5, 2\/171, 458\/5?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {q: 3, h: 3, u: 3, i: 5, p: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*sqrt(2)*3.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 13. Let p be y(-13). Suppose -3*m + p*m - 5*j = 80980, 4*j = 16. What is m rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 4*o = -4*o. Solve -x + o*l = l - 6, -5*x + l + 6 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxxooxoooooxxoloxx. Give prob of sequence ox.\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {p: 6, y: 2, s: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53 and 3763.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 285 and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 0*u - 51 = -2*u, 0 = 5*c - 3*u - 61. What is the derivative of 85 - c*z**4 + 5*z**2 - 56 + 56 wrt z?\nAnswer: -44*z**3 + 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 3*l + 19, 5 = -4*l + 25. Let a = -1 - -3. Is a <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 11838 = -12*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n**2 + 3*n + 0*n + 3 + 22*n**2. Calculate the remainder when d(-1) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 157 divided by -23\nAnswer: -157\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15119?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 331487 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(108) + sqrt(108) + (sqrt(108) + 2*sqrt(108))*1)\/(sqrt(8)\/sqrt(2)*-6 - 5*1*sqrt(4))*5.\nAnswer: -105*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -235074 divided by 386?\nAnswer: -609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + w + 138. Let m = 156 + -159. Calculate the remainder when s(0) is divided by 329*(88\/28 + m).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k**4\/3 - 26217*k**3 + 1894523*k**2\/3 - 526743*k - 235612\/3 = 0. What is k?\nAnswer: -2561, -4\/31, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 976 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 9:20 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1159 + ab716?\nAnswer: b0873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 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: -3063522 * 0.5\nAnswer: -1531761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*a - 44*a**2 + 27*a + 26*a to the form r + v*a + o*a**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1311)\/247*4888\/(-7896)\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6, 8, 8, 6, 2, -4, -12?\n\"Answer: -m**2 + 5*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69764 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: Simplify (1 + -1*sqrt(108) + 0)**2.\nAnswer: -12*sqrt(3) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**2. Let o(c) = 1247*c**2. Calculate n(o(t)).\nAnswer: -4665027*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 115*v - 68. Let s(n) = 58*n - 33. Let u(b) = -6*i(b) + 11*s(b). Is u(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*n + 15778*f - 15777*f, -4*n = -7*f - 11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 867, 3454, 7759, 13776, 21499, 30922?\nAnswer: 42039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**7\/420 + c**6\/36 + c**5\/15 + 11*c**3\/3 + 20. Let a(x) be the third derivative of f(x). Factor a(p).\nAnswer: 2*p*(p + 1)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3592624978 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: Collect the terms in 1 - 218870*c**2 - 1 - 53*c - 141208*c**2.\nAnswer: -360078*c**2 - 53*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10333, 10469, 10697, 11017, 11429, 11933, 12529?\nAnswer: 13217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrriirirrrrirr. Give prob of sequence iiii.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 7*t**2 + 8*t - 9. Suppose 30 = 5*k - 0*k. Give u(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*m, 0 = 30*v - 31*v - m + 165583. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, -4, -39\/11222?\nAnswer: -39\/11222","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -13*m**2 + 805*m + 93. Determine k(62).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**8*(b**(-3\/13)\/b)\/b*b\/b**(6\/11)*b*b\/b**(4\/5) assuming b is positive.\nAnswer: b**(6023\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -0.065?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**3 + 4. Let s be -3*(2 - (-10)\/(-15)). Suppose -o + v = -5, -v + 15 = 5*o - 2*o. Let z(q) = o + 5*q**3 - 2*q**3 - 10. Calculate s*z(i) - 5*u(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/7 and -0.47 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*w = -3*w - 944, 3*x = -3*w + 939. Suppose 323*q = x*q + 38235. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3996 a factor of 312920579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 554*v + 150 = 560*v. Suppose v*c = -552 + 1702. Calculate the remainder when c is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -467166 in -0.02, -24, -5?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55890 and 3726.\nAnswer: 55890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-14 - -9) - 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 18*r. Let t(w) be the second derivative of -2*w**3\/3 - 60*w. Give x(t(b)).\nAnswer: -72*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -755 = -6*w - 743. Let c be (-2 - -2)*(w + 14\/(-6)). Solve c = o + x + 1, -3*o + 2*x = -8*o - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -122.1 to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -3\/2 (c) -0.1 (d) 16 (e) -1\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2 = 3*p + y, -5*y + 7 = -2*p. Let u be (4 + p)\/(-2 - -3). Solve 0*b + u*b + 15 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216739.\nAnswer: 193, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 897354.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 309 and 211.4.\nAnswer: 65322.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7031 - -7660. What is the remainder when v is divided by 130?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25217 + 2903 + 15595 = 1249*l for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1903*n + 27. Let k(i) = -1911*i + 23. What is -6*b(c) + 7*k(c)?\nAnswer: -1959*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*20\/200)\/((-2)\/24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -73587c (base 15) to base 12\nAnswer: -1a06b30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + (sqrt(242) - (-1*sqrt(242) + 3)) + 1*(sqrt(242) + sqrt(242) + -1 + -4 - -6*(sqrt(242) + 1 - sqrt(242))))**2 + -4.\nAnswer: 264*sqrt(2) + 3877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -92, -87, -82, -77?\n\"Answer: 5*g - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 6. Calculate the remainder when 17 is divided by (3 + n)\/((-3)\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 3105*w - 40197. Give k(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7660123090.0000141 - 7660122782. Let c = -308.81 + 0.81. Let m = q + c. Round m to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**4\/3 + 11*r**3\/3 + 29*r**2\/3 - 11*r\/3 - 10 = 0.\nAnswer: -6, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295 - 292 = g + 4*h, 9*g - 3*h + 12 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzuuov. What is prob of picking 1 o and 1 u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 148\/5*38*320\/(-4864)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-38))\/x*x**(-39)\/x)**(2\/141) assuming x is positive.\nAnswer: x**(-4\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 12148 = -5*n, 0 = -5*n - 5*p - 1744 + 13894. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/3 + 579*k**2 - 10391*k\/3 + 2885.\nAnswer: -(k - 1731)*(k - 5)*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -17*t. What is a(2)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 3*i - 12)*(11 + 510*i + 4 - 16).\nAnswer: 1530*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*m + 304, -392 = -0*l - 4*l + 2*m. Calculate the highest common factor of l and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 + 86 = -4*y - z, -6 = -z. Let x(w) be the second derivative of -10*w**2 + 0*w**3 - 7*w + 0 + 5\/4*w**y. Differentiate x(d) with respect to d.\nAnswer: 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -24. Let y(c) = c**3 + 21*c**2 + 18*c - 21. Let h(b) = -b**3 - 21*b**2 - 17*b + 20. Let r(q) = -4*h(q) - 3*y(q). What is the units digit of r(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/26)\/(4\/52).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 70488.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(720) + (sqrt(720) - sqrt(720)*-2))**2*2.\nAnswer: 576*sqrt(5) + 23058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 18*n - 4. Let k be (10\/(-20))\/((-2)\/4). Let z be c(k). Suppose 18 = 11*s - z*s. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4403\/571560 + 3\/4763. Which is smaller: -1\/6 or w?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 9:43 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80253 (base 10) to base 13.\nAnswer: -2a6b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94057345 divided by -1106557.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -7*x - 1\/2*x**2 - 5. What are the prime factors of v(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 7) in base 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**2 + 141*k + 112. What is d(31)?\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 233*c**2. Suppose -5*x + 11 = 1. Let i(p) = 10*p**2 - 20*p**2 + 4*p**x + 4*p**2. Determine i(r(n)).\nAnswer: -108578*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2797983?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = h - 0*h. Suppose 2*o = 2*r + r + 137, o - 5*r = 79. Suppose s + s = o. What is the remainder when s is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 10 - 41*x + 13*x**2 - 25*x + 77*x - 3. Let q(s) = -7*s**2 - 6*s - 4. Suppose 3*j + 9 - 32 = 2*n, -n - 10 = -j. Give n*q(a) - 4*z(a).\nAnswer: -3*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -9. Let a = 3 - 3. Solve a = -2*k + w + w - 6, 5*w - v = 2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*q - 86 = 2*h - 214*q, 5*h - q - 1411 = 42*h for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1053) + 0 + sqrt(1053))*-2 - (4 + 5*sqrt(1053)*1))**2.\nAnswer: -162*sqrt(13) + 85294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oolosdolb. Give prob of sequence lbs.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 8*g**2 + 13*g + 7. Let y be j(-2). Solve 3*q - 6*c = -5*c + y, 0 = -2*q + 2*c + 10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmw when three letters picked without replacement from {m: 3, l: 1, w: 2, h: 6, c: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*s**3 + 16*s**3 - 13*s**3 + 6*s**3.\nAnswer: 23*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -11, -3, 0.11, 1396, -1\/2?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/14*4*-2. Solve -p*g = -b - 3, 4*g = -3*b + 9*g - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 29 = -5*q + 5*t, 0 = 4*q + 2*t + 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, q: 4, c: 3, f: 3, e: 2, n: 4}. What is prob of sequence nqk?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 7.27 and -6.4.\nAnswer: 0.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + 2*(sqrt(567) + sqrt(567) + -1 + sqrt(567) + 5) + 2) + 1)**2.\nAnswer: 21168*sqrt(7) + 328993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 413.3ns?\nAnswer: 0.0004133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, n: 19}. What is prob of sequence nnk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288018319?\nAnswer: 288018319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226421112 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-100)\/40)\/(1\/(-2)). Solve 0*w - 20 = n*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 88\/125117 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**3 + 9999*n - 14. Let i(a) = 5*a**3 + 9999*a - 21. What is -2*i(o) + 3*m(o)?\nAnswer: 2*o**3 + 9999*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*l + 3*x - 15, l - 3*x = -7. Let c be 20\/l*2 + 0. What is the third derivative of 129*d**2 - c*d**6 + 0*d**6 - 105*d**2 wrt d?\nAnswer: -600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.4 and -72\/41 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 348 + -34. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -17. Suppose 9*h = -10 + 1. Sort h, d, 1 in decreasing order.\nAnswer: d, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 216553620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14683423, -14683419, -14683413, -14683405?\n\"Answer: g**2 + g - 14683425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9688143\/8 or 1211017?\nAnswer: 9688143\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 192205851?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19813200 and 16929.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - 4) + (-10 - 18 - -32)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1098, -64, -5742, -18192, -39670, -72432, -118734?\n\"Answer: -376*c**3 - 2*c**2 + 1476*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3679, 3670, 3655, 3634, 3607?\nAnswer: 3574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -15*w**2 - 38*w - 372. Give y(-13).\nAnswer: -2413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, y: 3}. What is prob of picking 1 y and 1 b?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*a + 8*a + 18*a + 1309. What is the remainder when a is divided by 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 5*r + 36375 + 79883, 0 = 5*z - 5*r - 290715. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w. Let q(d) = 155*d**2. Determine k(q(p)).\nAnswer: 310*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-284)\/(-71))\/((-2)\/10)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9168?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 3*k - 2. Let s be z(2). Suppose -3*n = -n + s. Let h be 0 + -2 + (-1 - n). Which is bigger: h or 1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1062*m + 1066*m + 352 = 0. Sort m, 1, -1\/2.\nAnswer: m, -1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3278476 is divided by 3484?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11.6227+-9\nAnswer: 2.6227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 q when three letters picked without replacement from qcqccqccqqqcqqcqcc.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14605047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 b when three letters picked without replacement from {r: 6, b: 13}.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/7 equal to -297\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -222222102 (base 3) to base 8\nAnswer: -46323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z = -11*z - 510. Suppose 3*p - 67 = z. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 + -212?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0233717 and -4.2.\nAnswer: -4.1766283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (-39)\/12 - (-6)\/8. Calculate the common denominator of ((-2086)\/(-210))\/((-8)\/(-10)) and -2 - 666\/(-212) - d.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 3:47 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 681085, 681083, 681093, 681121, 681173, 681255, 681373?\n\"Answer: o**3 - 9*o + 681093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 159389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -29384 to the nearest 100.\nAnswer: -29400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-130)\/28*7\/126. Let r = m + 1\/28. What is the common denominator of 15\/4 and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*g + 60 = -134*g. Calculate the remainder when 29 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/5 + 4873538*y**2\/5 - 2968885027808*y\/5 - 8906874393984.\nAnswer: -2*(y - 1218392)**2*(y + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1091, 9954, 34023, 80906, 158211, 273546?\nAnswer: 434519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**4 - 5*z**4 + 3*z**4 + (-4 + 3 + 2)*(-2*z - z**4 + 2*z) + (3 - 3 - z**2)*(-6*z**2 + 3*z**2 + 0*z**2).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 - 519*l + 25380.\nAnswer: -(l - 45)*(l + 564)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 5*a = -0*a + 7, 2*a - 10 = -3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**3 - 320*u**2 - 5*u + 320 = 0. What is u?\nAnswer: -1, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (8 + -1 - -3). Suppose 4*b - w*b = 4*z, -5*z = 0. Suppose b = -15*h + 16*h - 7. Solve h*k - 3*k + 8 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*p + 2, -2*f + 13 = -2*p + 5. Which is the smallest value? (a) 5 (b) 0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10013.77 - -9528.9. Let x = 483 + d. Round x to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 4:54 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3303654112?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22219 is divided by 11089?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.02129 to 1 decimal place.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 394272?\nAnswer: 4336992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 2*t - 3. Let i(n) = 3*n**2 + 5*n - 8. Let u(k) = 3*i(k) - 8*p(k). Let y be u(2). Let z(f) = 2*f - 3. Let r be z(y). Which is smaller: -2 or r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -827532042 by 62.\nAnswer: -13347291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 14 = -2*b - 3*y, -3*b - 14 = 2*y - 35 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11788007, -11788004, -11788001, -11787998?\n\"Answer: 3*q - 11788010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**4 - v. Let k(h) = -13*h**4 - 5*h + 19. Let g(l) = k(l) - 5*o(l). What is the first derivative of g(u) wrt u?\nAnswer: -32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3647 and 2506531?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + (-156)\/(-18))\/((-1088)\/180 - -6)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -5, 4, -9 in decreasing order.\nAnswer: 4, -5, -9, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2377*v**3 - 25*v**2 - v + 17349.\nAnswer: 14262*v - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 - -70. Suppose -j*x = 7*x - 70. Let l(w) = 2*w**3 - 11*w**2 - 5*w - 15. List the prime factors of l(x).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2670 divided by -1?\nAnswer: -2670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2125?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1829?\nAnswer: 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 x when four letters picked without replacement from mxxx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 406.9714 + 0.0286. Let l = -414 + t. Which is the closest to -1\/4? (a) 4 (b) l (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2506 and 4475?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {h: 3, f: 2, z: 1, i: 2, m: 6}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b**3))\/b**(1\/3))\/(b**(-1\/4))**34*(b**(1\/11)\/(b*b**5))\/(b*b**(3\/4)\/b*b*b**(-1\/4)) assuming b is positive.\nAnswer: b**(-107\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 3*n + 56. Let x be s(0). Let z = -79 + x. Let l = -113\/5 - z. Which is the closest to l? (a) -1 (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 308.458 + -308. Let f = 0.158 - d. Put f, 0.3, 3\/4 in descending order.\nAnswer: 3\/4, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 394183*j**2 - 71*j + 233. Is y(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3235\/932026?\nAnswer: -3235\/932026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-750191)\/2509)\/(26\/6)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w + 1. Let k be i(1). Suppose 4*d + 68 = m, -2*d = d - k*m + 64. Let b = 35 + d. Solve 0 = 4*o + a + 19, -o - 3*a = 2*a + b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 10:43 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4366324 < 4366324?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + w - 8 - 7 = 0, s = -2*w + 12. Suppose 2*k = -c - 2 + 5, -5*k + 4 = s*c. Suppose f + 3*u - c = 0, 3*f = -4*u - u + 13. Which is bigger: f or 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/5*d**3 + 0*d + 1\/5*d**5 + 0 - 1\/5*d**2 - 3\/5*d**4 = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 505277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(684) + -2 - ((sqrt(133) - (sqrt(133) + sqrt(133)*2) - sqrt(133))*-5)\/sqrt(7).\nAnswer: -9*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 280608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47236 is divided by 211?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/3)\/(h**(2\/5)\/h)*h*h*h**(-2\/9)\/h*h*h*h*h**(5\/2)*(h**(-3)\/h*((h\/h**(-4))\/h)\/h)\/((h**8\/h)\/(h*h\/(h**(5\/3)*h*h*h))) assuming h is positive.\nAnswer: h**(-281\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*31\/(3 + -2 + 0). Let o = -89 - d. Solve w = -w - o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 275*c**3 - 38*c**2 + 56*c + 54. Is f(25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7 - (-2 + 2)*-1. Let v(y) = y + 2. Let p be v(s). What is the nearest to -2\/5 in -0.4, -0.5, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112828 - 4*t + 112828.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1028932, -1028934, -1028936?\n\"Answer: -2*b - 1028930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**3*o - 634*h**3*v + 2*h*o**2*v + 15*h*o**2 - 11 with respect to v.\nAnswer: -634*h**3 + 2*h*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 - 13*s**2 + 7*s - 2. Let x be i(6). Solve 2*z = -4*o - 3 + 17, -32 = -4*o + x*z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3666177?\nAnswer: 3, 23, 89, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143, 147, 151, 155, 159?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12638*h**2*j**2 - 479*h**2 + 14*h*j wrt j.\nAnswer: 25276*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31013101 (base 5) in base 8?\nAnswer: 752222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 704 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1490982 divided by -17337?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -270, -552, -858, -1200, -1590?\n\"Answer: -2*a**3 - 268*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -446*2487.\nAnswer: -1109202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 85 + -2 - (-36 - -29) - (374 - 353)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x**3 - x**2 + 4*x - 4. Calculate the remainder when d(2) is divided by 1\/(1057\/175 + -6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 51 = -3*s. Let u(f) = -5*f + 8*f + 8*f - 6. Calculate the remainder when u(5) is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 - (220 - -7) - (-15 - 1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 1.4820909\nAnswer: 0.44462727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 826 is divided by 402?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -8 + 29 + 19 + -52 + -3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2270, -2268, -2266, -2264?\n\"Answer: 2*i - 2272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8848*q**2 + 26*q - 23 wrt q.\nAnswer: -17696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 1)\/(17 + (-60)\/4). Let k*z + 4\/5*z**2 - 4\/5*z**4 + 2\/5*z**3 - 2\/5*z**5 + 0 = 0. Calculate z.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, k: 1, e: 2, r: 4, w: 3}. Give prob of sequence kr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -372, -374, -376, -378, -380, -382?\n\"Answer: -2*t - 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 262 - 183. Find the third derivative of -2*g**2 + g**3 + 5*g**3 - c + 79 wrt g.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -415 - -475. Calculate the least common multiple of n and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48506520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2034 - 4143\/2. Let f = -37 - n. Which is bigger: 293 or f?\nAnswer: 293","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(3*m**5 - 2*m**5 - 3*m**5) - 30*m**5 + 20*m**5 + 16*m**5 + 4*m**5 + 3*m**5 - 4*m**5.\nAnswer: 11*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*600\/270*(-6)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**3 + 103*d**2 - 10820*d - 22044 = 0.\nAnswer: -167, -2, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5985 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: Let u(s) = -7*s. Let n(d) = -6*d + 2*d + 3*d. What is u(n(i))?\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -4)*(-1 + -2). Calculate the common denominator of -55\/4 and 2\/(-3) - (-15)\/l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2115031241 + -5?\nAnswer: 2115031232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 divided by 844233?\nAnswer: 175\/844233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 18330*v + 919000.\nAnswer: -(v - 18380)*(v + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -10. Solve 9 = -b - w*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 613.9649 and 63.93545?\nAnswer: 550.02945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, 5, 3, -25 in increasing order.\nAnswer: -25, -3, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10767 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/2)\/(-3))\/(38\/19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2809486 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -15*(-4)\/(-12)*1. Let v(c) = 4*c**2 + 2*c - 4. What is the tens digit of v(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5 - 16*r**4 - 41*r**3 - 26*r**2.\nAnswer: -r**2*(r + 1)*(r + 2)*(r + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/72 and -81\/1112.\nAnswer: 10008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - u - 2*u**3 - 59 + 21*u.\nAnswer: -2*u**3 + 21*u - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 3 + 1 = -y, 67 - 95 = y - 9*s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and -0.107?\nAnswer: 1.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h. Let y(g) be the first derivative of 0*g**2 - 1\/3*g**3 + 21*g + 36. Give v(y(o)).\nAnswer: o**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -137\nAnswer: -548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -1\/24*x**4 + 2*x**3 + 0 + 0*x + 3*x**2. Let a be f(5). Solve -c = 3, a*y - 2*y - 3*c = 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/3, 1, -2\/21, 0.115?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -702*h + 331*h - 2035 = -332*h + 149 for h.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39 and 13?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -605 (base 7) in base 8?\nAnswer: -453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 6. Let a(q) = q**3 + 5*q**2 + q - 3. Let b be a(-5). What is the units digit of r(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 857 - 852. Suppose 4*d = -z*x + 7315, -x - 5268 = -4*d + 2053. Round d to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 3 + 6 + 3. Let a be i\/15*(-27 + 0). Let k = a + 34. Calculate the remainder when k is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 220715 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 168\/87 + (6\/(-8) - (-15)\/(-12)). Sort -9\/5, p, -0.1 in ascending order.\nAnswer: -9\/5, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*t - 12, 3*z + 13 = -3*t + 2*t. Let u be z\/(-8) - (-4 - -3). Which is the biggest value? (a) 46 (b) u (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 4*v + v)*(2*v**3 - 3*v**2 + 3*v**2) - 5*v**4 + 2*v**4 - v**4 + 12 - 4*v**4 - 12 + (1 - 5 + 2)*(3*v**4 - 1 + 1).\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 102*l + 630 = l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22841.6146777 + -22841.6. What is z rounded to four dps?\nAnswer: 0.0147","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millimeter in micrometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 34593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-5 - (2 + -7 - -1))) + -11?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k - 2. Let u be s(3). Suppose 3*a = -3*g, 5 = 2*a - 4*a - g. What is the units digit of -1 + u + a\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q - 8. Let b be g(-7). Is b at most as big as 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-3\/2)*o)\/o**(-2\/7))\/((o\/(o\/o**(-5)*o))\/(o\/(o*o\/((((o\/(o\/(o\/o**(-2\/5)))*o)\/o)\/o)\/o)))) assuming o is positive.\nAnswer: o**(573\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**2 + 5*p**2 + 12 - 3 + (-3*p + 4*p + p)*(2*p + 0*p - 3*p) to l*p**2 + s + u*p and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 697659904 by 1112.\nAnswer: 627392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183518 is divided by 22934?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 5:33 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d - 2. Let z(j) = -2*j**2 - 4*j - 3. Let h be z(-2). Suppose 6 = -u + 4*o + 1, -5*u - 2*o = 25. Let p(s) = 9*s + 3. Give h*p(w) + u*v(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 1488\/(-252) + (-3 - 1 - -2).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n. Let c(s) = s**2 - 7*s + 5. Let a be c(7). Let j = a + -3. Let u(p) = p**2 + 2*p**2 - 3*p**2 - 2*p**j. Give f(u(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.014795\nAnswer: -0.002959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*z - 783*z - 32928 = 278*z for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201843?\nAnswer: 3, 41, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.77 and 17487.\nAnswer: 17489.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(2\/2) + 8. Suppose -y + 1 = 5*i, -2*i = -5*y + r - 2. Suppose 0*j - 2*j - 3*c = -19, i = -4*j - 2*c + 18. Solve 9 - 1 = -j*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*c**2 - 4*c + 76*c**2 + 277 - 276 - 64*c**2 to the form n + r*c**2 + t*c and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (283 + -311)) + (5 - (-1 - 1)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**5\/60 + 3*i**4\/8 - i**3\/6 - 2*i**2 - 20. Calculate t(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/(-45))\/(12\/(-36)))\/(-2)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 4. Let j = -50 + 123. Let a = 75 - j. What is the closest to -1 in a, -1\/6, h?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/30610 and -36\/55?\nAnswer: 336710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c + 2 - 2 + (2 + 1 - 6 - 3*c)*(-1 + 1 + 1).\nAnswer: -7*c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246115592.\nAnswer: 2, 30764449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 144624239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (8\/(-12))\/(-2) - (-6)\/9 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5523*b - 3083*b = 43920 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*q + 2*q = -12, -2*q = 3*z - 16. Let t = -1726\/3 - -576. Let k = 0 - 4. Which is the closest to 0.2? (a) z (b) k (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**4*f**(-1\/6))\/(f**(2\/3)\/(f*f**2*f*f*f)))\/((f\/((f*f**(2\/5))\/f))**5)**(-5) assuming f is positive.\nAnswer: f**(145\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015988 rounded to six decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) -0.13 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -6*a + 4. Solve 0*y = a*y - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 1. Let i(m) = -3*m + 2. Let b(o) = 2*i(o) - 4*t(o). Suppose 4*l - 16 - 12 = 0. Let v(r) = -3*r**2 + r**2 - l*r**2 - 2*r**2. Give v(b(k)).\nAnswer: -44*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 2*b + 3*b + 4 - 1 - b - 1 + (4*b + 3 - 3)*(-3 - 2 + 4))*(324*b**4 - 92*b**4 - 656*b**4).\nAnswer: 1272*b**5 - 848*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4907267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 229, 926, 2089, 3718, 5813, 8374?\n\"Answer: 233*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 163 + 32648?\nAnswer: 32811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12630976.3000051 - -12630990.3. Let u = 13.76 - -0.24. Let g = u - l. What is g rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 92 = -32. Suppose 0 = -h*i + 6711 + 435. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-198))\/((13\/(-9))\/(-13)).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*m - 14 - 1 = 0, 0 = 5*n - 5*m - 25. Suppose 3*x - 5*l - 1 = n, -2*l = -l - 1. Solve -i + 3*i - 4 = h, -x*h - 7 = -3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, v: 3}. Give prob of sequence avaa.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*u**3*v*w**3 - 2345*u**3*v - 6027*u**3 - 10*u**2*w**3 wrt v?\nAnswer: 12*u**3*w**3 - 2345*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.658 and -2.\nAnswer: -3.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 4 - 6\/2 - -5 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(4 - (-45)\/(-18)). Let y(u) be the second derivative of 0 - 13\/2*u**2 - 19\/6*u**q - 35*u. Differentiate y(l) with respect to l.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjtjjytfjyfjjjfjft. What is prob of picking 2 f?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11518, 23092, 34676, 46276, 57898, 69548?\nAnswer: 81232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 40*t - 17. Let w(k) = -20*k + 8. Determine 6*c(s) + 13*w(s).\nAnswer: -20*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 7*o)*(40*o + 11*o**3 - 40*o) + o**4 - o**4 - 2*o**4 in the form j + a*o**3 + n*o**4 + v*o + t*o**2 and give n.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 11) to base 8\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 7:27 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154370 - 1298 = 72*h. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 8:21 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 381.8.\nAnswer: -381.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1378921824 divided by -16272.\nAnswer: 84742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 5 + 0)*(-191 + 68 - 181)*(-2 - 5 + 5)*(-2*c**2 - 3*c**2 + 4*c**2 + 0 + 0 - 2*c**2 + (3*c - c - 4*c)*(2*c - 3*c + 2*c)).\nAnswer: 9120*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36395072 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.28 and 1.9?\nAnswer: -0.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 541505551 - 5?\nAnswer: 541505544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/5*1*2500\/(-500). Let f = 31\/2 + -16. What is the second smallest value in 1\/6, f, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110210133 - 13020?\nAnswer: -110223213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -568780*f**5 + 5829955*f**4 - 1421540*f**3 - 100*f**2 = 0. Calculate f.\nAnswer: -2\/28439, 0, 1\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**13\/a**(-10) assuming a is positive.\nAnswer: a**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000240687563 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 60.11294 days?\nAnswer: 5193758016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -342275 and 0.4.\nAnswer: -136910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1425 (b) -4882 (c) -9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4057, -3805, -3369, -2737, -1897, -837?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y - 2. Does 28 divide w(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.5 - -2. Let g = -0.5 - d. Let z = -0.04 + -1.96. Which is the closest to z? (a) 1\/3 (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 5 (c) -3 (d) 11.3725 (e) -3\/4 (f) -0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-44)\/(-154) - (-1)\/(14\/1564). Suppose 0 = -3*l + 4*y + n, 3*y - 173 + 7 = -4*l. What is the greatest common factor of l and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.087, -3\/4, 4, 0.084, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xnc when three letters picked without replacement from {c: 3, x: 4, n: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -100 - -10013?\nAnswer: 5513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3716*i*l**3 - 5*i*l**2 + 2*i*l*s - 12*l**3*s + 1290*l**2*s + 2*l**2 - 3*s wrt l.\nAnswer: -22296*i - 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 36*j - 11. Let o = 106 + -101. Let t(f) = 35*f - 11. Let l(g) = o*d(g) - 6*t(g). Let w be l(-11). Round w to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101 by 8.\nAnswer: -101\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(2) + -1 + sqrt(2) + 3 + -4 + -2*sqrt(2) - sqrt(6)\/((sqrt(3) + (sqrt(48) - sqrt(3)))*-6)*-1)**2.\nAnswer: -sqrt(2)\/6 + 1153\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - -1.2. Let z = q + 0.5. Let i = z - 3. Which is the second biggest value? (a) -0.2 (b) -0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1*m)**(35\/6)\/(m*m*m**1*m*m)**(3\/7))\/(m\/(m*m*m*(m**(-4\/3)\/m)\/m*m)*m\/m**(-2\/7)*(m**(2\/5))**50) assuming m is positive.\nAnswer: m**(-254\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59274338.6 * 3.\nAnswer: -177823015.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 73640, 73651, 73662?\n\"Answer: 11*v + 73629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236675?\nAnswer: 5, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 3:44 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -324 + 329. Sort 2, 84, b.\nAnswer: 2, b, 84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6978 - -8207. What is the remainder when 1238 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1393077 is divided by 312?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 42 + -3bf10f?\nAnswer: -3bf0cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 26*f - 1. What is the units digit of w(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, u: 8, m: 2, n: 4}. Give prob of sequence mu.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -4*z**3\/3 - 8*z**2 + 20*z - 3033. What is r in q(r) = 0?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 10:00 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65813*m - 34958*m - 18005*m - 5312*m.\nAnswer: -124088*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 26\/7 (b) -2 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**4 + 296289724*u**3 - 14631266955525840*u**2 + 240838574480466460948800*u - 481677090435867470112000 = 0.\nAnswer: 2, 49381620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 l when three letters picked without replacement from {l: 7, k: 7}?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1541*h**3 + h**4 - 2 + 513*h**3 + 92*h**2 + h**4 + 518*h**3 + 513*h**3 as p*h**4 + w*h + n*h**2 + q*h**3 + j and give n.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2\/5, -28, 2\/215, 3\/314, 1?\nAnswer: 3\/314","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25190 - -25227. Put l, -13, -17 in decreasing order.\nAnswer: l, -13, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/19, -2.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.4567 + -0.0033. Let f = 53.07 - 58. Let i = l - f. Round i to 1 dp.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 59 = 15. Suppose 3*h = 2*h - 5*f + 13, 0 = 2*f. Let k = g - h. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 - 5 + 3*l**3 - 7*l**2 - l**3 - 2*l**3 to the form b*l**2 + d*l**3 + x + n*l and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 12*r + 5. What is the units digit of o(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1727259846 to the power of 1\/3, to the nearest integer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-1 - 2) + 11. Let l(m) = -3*m**2 - 5*m - 3. Let s(n) = -n**2 - 2*n - 1. Let f(y) = u*s(y) - 4*l(y). Suppose f(g) = 0. What is g?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/(-246))\/((-375445)\/44170).\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 48, -5, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 3:35 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1825414 to 3 dps.\nAnswer: 0.183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -11*p**5\/2 - 662565*p**4\/2 - 722774*p**3 - 120462*p**2 = 0.\nAnswer: -60231, -2, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -219 - -126. Let z = -88 - r. Let k = -2.8 + 3. Put z, 3\/4, 0, k in ascending order.\nAnswer: 0, k, 3\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*d + 338 = 0, -49 = 5*m - 4*d - 473. Suppose m = 14*a - 10*a. What is the derivative of -6 - a*k**2 + 40*k**2 + 18*k**2 wrt k?\nAnswer: 74*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p**2 + 13*p - 15. Let l(o) = 3*o**2 + 7*o - 8. Determine 6*c(i) - 11*l(i).\nAnswer: -3*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-1 + -7 + 3 - -55).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5 or 170\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 4*f = 8*s + 2, -5*f = -2*s + 34. Let a(o) = 10 + 2*o - 3*o + 0*o + o**2. Calculate the least common multiple of a(0) and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*w*x**4 - 4*w - 17*x**4 - 65*x wrt x.\nAnswer: 84*w*x**2 - 204*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/4)*q)**49*q**3*q\/q**(-2\/15))\/(q\/(((q**(-1\/3)\/q)\/q)\/q)*q**(-1)*q\/q**(2\/9)*q**(1\/3)) assuming q is positive.\nAnswer: q**(6559\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 5*l + 110, 26 + 70 = -3*b - 3*l. Let x be (-3822)\/b - 6\/(-10). What is the greatest common divisor of x and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 2 + 8, -58 = -5*r - y. Suppose -4*q + q = -r. Suppose 2*w = -2*p + 8, 3*w - 11 = q*w - 4*p. Is 1\/5 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n**4 - n**3 + 0*n**4 - 2*n**2 + 3*n**4 + 6*n**2 in the form x + t*n**2 + l*n**3 + j*n + s*n**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21459528, 21459511, 21459484, 21459441, 21459376, 21459283?\nAnswer: 21459156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 3*d**5\/10 + 7*d**4\/6 - 4*d**2 + 2*d. Find r, given that v(r) = 0.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/((c*(c\/(((c\/c**2)\/c)\/c))\/c)\/c))\/c*c*c**9*c)\/(c**(2\/5))**(2\/11) assuming c is positive.\nAnswer: c**(491\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 254*r**3 + 8 - 12.\nAnswer: -254*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyp when four letters picked without replacement from {y: 3, b: 7, p: 9}?\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8985\/2 - -4493. Determine j, given that -1 + 9\/4*j - g*j**2 - 2*j**3 - 1\/4*j**5 + 3\/2*j**4 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7285 + 72949\/10. What is the common denominator of x and 97\/34?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(30)\/(sqrt(6) + sqrt(54)*6).\nAnswer: -6*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 526\/24 + 26\/312. Which is smaller: 15 or q?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 3*b + 3, -5*b - 26 - 1 = 4*c. Let h = c + 5. Calculate the highest common divisor of h and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stsmuuuuu. Give prob of picking 1 m and 2 u.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0 = -5. Suppose -n = i*g - 3, 5*g + 4*n = -3 - 0. Is g at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 12:08 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -y - 6, 124*b - 122*b + 12 = 4*y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - f - 2*f)*(4 + 2 - 3)*(-2*f + 1 - 1)*(3 + 2 - 4).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -954 or -6325?\nAnswer: -954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44*(-1)\/160*260\/(-15) and 97\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192.249 take away -32?\nAnswer: -160.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 3, 1, -2, 153, -4, -11 in decreasing order.\nAnswer: 153, 30, 3, 1, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/5))**44*(l**(3\/2)*l)**(-12\/17) assuming l is positive.\nAnswer: l**(2842\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -7*d**3 + 5*d**2 + 7*d - 6. Let t(h) = -4*h**3 + 3*h**2 + 3*h - 3. Let l(p) = -7*t(p) + 3*y(p). What is the third derivative of l(s) wrt s?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 78 or 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, -205, -603, -1001, -1399?\nAnswer: -1797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 21 = 0, p - q = 2*p - 18. Suppose 47 + 26 = 2*l - 3*x, -2*l + 72 = -2*x. Calculate the least common multiple of p and l.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1 (c) -1 (d) 203 (e) -16 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9303 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (12 + (-19 - -16 - -2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22324414 (base 6) in base 13?\nAnswer: -1aa751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*y = 26*y - x + 31 + 21, 0 = 2*y - 178*x + 6416 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 16, c: 2}. What is prob of sequence pp?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*v**2 - 13*v**2 + 17*v**2 + (4 - 4 - 2*v)*(-3*v + v + 0*v) - 4*v**2 + 2*v**2 + 3*v**2.\nAnswer: 26*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.081 (c) -2 (d) -0.3 (e) 9\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6789 and 12337?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11216 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -651*k + 399932 = -2060*k - 6701*k - 46118 for k.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 6\/5651, 5\/2, -3, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43002?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 779 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -f + 7*z + 60, -3*f + 150 = -3*z. Is 21 a factor of 35139\/f + -1 - 8\/(-60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/6 - 3\/(-3))*-4. Let o be (-1)\/j*(-4 + -2). Let r(u) = u**2 - 4*u. Let h be r(4). Sort -0.2, h, o.\nAnswer: -0.2, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2782484 + 2782487.999998. Let m = 4 - c. What is m rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-292)\/(-6) - (-1)\/3. Suppose s = k + 70. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117985701.908 - 1\nAnswer: -117985702.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 815, 1631, 2445, 3257?\n\"Answer: -k**2 + 819*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 24\/27 - (-21)\/297\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 95*d**5\/2 + 3595*d**4\/2 - 4275*d**3\/2 + 585*d**2\/2 = 0.\nAnswer: -39, 0, 3\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -365 + 364. Put 5, 13, 1, u in descending order.\nAnswer: 13, 5, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(228)*2)\/sqrt(12) + -3 + sqrt(931)*1 + (((sqrt(76)\/sqrt(2) - sqrt(38))*-4 + sqrt(38))\/sqrt(2) - sqrt(209)\/sqrt(176)))**2.\nAnswer: -39*sqrt(19)\/2 + 28915\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/42)\/(5\/96*132\/825).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -681 divided by -3\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3221.85cm?\nAnswer: 32218500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12470 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -322 - (-1 + 4\/2). Let n = 558 + m. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**3 - 7*k + 5. Let z(j) = 2*j**3 + 10*j - 3 - 6*j + j**3. Calculate -4*d(r) - 7*z(r).\nAnswer: -r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163775*k + 163979*k - 327754*k + 2*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -289337 rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1932, -2006, -2080?\nAnswer: -2154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**2 - 5*t - 4. Let d(s) = s**2 - s - 1. Let c(k) = 2*d(k) + o(k). Suppose -3*q + 4*q + 5 = 0. Calculate the lowest common multiple of 4 and c(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -5*v + 37. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144879.3112 rounded to the nearest one hundred?\nAnswer: 144900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = -5*v + 1296. Suppose 10*d = d + v. What is the smallest common multiple of d and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1842 is divided by 143?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 3) to base 7\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -25. Let x = 1 - r. Let q be (6\/15 - 0)*(-55)\/(-33). Which is the nearest to q? (a) x (b) -8 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 17*p - 77. Let m be d(5). Let x(u) = 36 + m*u - 36 - 9*u. Let w(k) = k**2 - k. Give x(w(f)).\nAnswer: -f**2 + f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 5*w + 3 = 0, 4*g - 5*w - 38 = -7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 + 41. What is the third smallest value in p, -0.4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**3*z**3 - 1621*k**3*z + k**2*z - 4*k*z**3 + 114*z**3 - z**2 wrt z?\nAnswer: 6*k**3 - 24*k + 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeeeebbeeeeeeeeb?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10041 + 10298.82. Let r = -259 + a. Round r to one decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 2*c**3\/3 + 4. Let g(j) = 3*j**2. Calculate z(g(x)).\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 20 = 3*y. What is the remainder when y\/18 - (-349)\/9 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/(95\/285)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*10*(5 + (-9)\/2). Let i be ((-6)\/(-30) + (-18546)\/g)*-5. Let b = i + -408069\/22. Calculate the common denominator of b and 55\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/9*4\/(-5 + 9). Which is the third biggest value? (a) 4 (b) 0 (c) -2\/5 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -319 or -324?\nAnswer: -319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 8710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/405 and -44\/3.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 145\/19446 or 0?\nAnswer: 145\/19446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23857274 by 179378.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 - 3*j + 3. Let y(c) = -3*c**2 + 4*c - 4. Let w(d) = -4*g(d) - 3*y(d). Suppose 4*v + v - 25 = 0. Let u(r) = -v*r + 3*r + 3*r. Give w(u(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3167 by 30.\nAnswer: -3167\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 502 - 503. What is the nearest to -0.09 in 0, -3, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.027 - -3.073. Let p = g + 2.1. Let f = p + -8.2. What is the second smallest value in 0.05, 2\/7, f?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2438705050 less than -0.2?\nAnswer: 2438705049.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11141 (b) -12 (c) 4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/137 (b) 5 (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 48 = 4*m - 1, -85 = -5*t - 5*m. What is the second biggest value in t, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 19 = 211*k - 212*k, 0*k - 5*k - 14 = 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17\/108 + -3\/20. Let d(x) be the third derivative of 1\/540*x**6 + r*x**5 + 2*x**2 + 0 + 0*x**3 + 1\/108*x**4 + 0*x. Factor d(n).\nAnswer: 2*n*(n + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, -1\/2, 42, 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(7)*5 + -3 + sqrt(21)\/sqrt(3) + sqrt(7) + -3 + sqrt(7)*-2)**2.\nAnswer: 720*sqrt(7) + 25236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28619321?\nAnswer: 28619321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwqwwwqqw. What is prob of picking 2 w?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-13)\/(-26))\/(2\/(-108)). Let c = 15 - d. Calculate the remainder when 92 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-36) - (-235)\/45. Let z = 0.35 + -0.21. What is the third smallest value in q, 2\/15, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10c6a + -13?\nAnswer: 10c57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202048?\nAnswer: 2, 7, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1596822755 to the nearest integer?\nAnswer: 39960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 4. Let z(n) = n + 1. List the prime factors of z(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*l**2 + 144*l + 8640.\nAnswer: 3*(l + 120)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1666*s + 1714*s - 48 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5 - 63. Suppose 4*s - 2*v - q = 0, -4*s + 69 = -5*v - 5. What is the greatest common factor of s and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwwwkkwkkwkkk. What is prob of sequence wk?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2090, 4915, 8356, 12413, 17086, 22375?\n\"Answer: 308*o**2 + 1901*o - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-224)\/18 + 12 + 124\/198.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7*(-3458)\/1764 + 1\/2 + -7 and 0 + 9\/(-10)*13.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7086 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 8*w**3\/5 + 606*w**2\/5 + 2152*w\/5 - 576\/5 = 0?\nAnswer: -72, -4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 16 - (-14 + (9 + -6 - (26 + -25)))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 403*m**2*r**3 + 2*m**2 - m*r**3 + 3*m + 44 with respect to r.\nAnswer: 1209*m**2*r**2 - 3*m*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-8) - (-5286)\/(-40) - 2. Let g = -134 - u. Factor 6\/5*b**3 - g*b**2 - 6\/5*b**4 + 2\/5*b**5 + 0*b + 0.\nAnswer: 2*b**2*(b - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2841 is divided by 2819?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 105850187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*s = 10. Sort s, 0, -3.\nAnswer: s, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 447 divide 254661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1723? (a) 2\/13 (b) 3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -317 - -328.36. Let y = -1239 - -1228. Let q = l + y. Round q to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + t - 320 = 0, 7*c + 4*t = 2*c + 411. List the prime factors of c.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 35*t - 1. Let i be 37\/111 + 2\/6*98. Calculate the remainder when j(i) is divided by 31.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103034311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1280 + -476472016.\nAnswer: -476470736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 6*j**2 - 8*j + 14. Suppose 5*z + 2*g + 32 = 0, -z + 4*g - 2 = -0*z. Let i be m(z). Let a = -48 + i. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 0) + (-2 + 5 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 269 + -47. Suppose -164 = -4*g - j + 139, 0 = -3*g + j + z. Does 25 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 33*y - 1. Let j(a) = -a. Let d be j(-8). Is i(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 176 - 173. Solve i + 12 = -3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.151274nm to meters.\nAnswer: 0.000000004151274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1839288446?\nAnswer: 2, 17, 54096719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - -22 - 2\/(60\/(-54)))\/(2\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 474 + 203. Let x = o + -139. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3195 or -1?\nAnswer: 2\/3195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 6 = -7*j - 4*o, 5*o - 10 = 0. Suppose 3*m + 27 = k - 0*m, -j*m = 3*k - 70. Solve 4 - k = 4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86625530 to the power of 1\/3, to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1580 + 60308?\nAnswer: 57618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -1 + 5*m**2 + 0 - 3 - m**3 + 8*m. Let y be p(6). Suppose 2 = -d + y. Solve -3*k = -0*k + d for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 + 10 - 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/192 and 67\/17646336?\nAnswer: 17646336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - f + 24, -4*f = -h - 2*h - 75. Let s be (-4)\/7 + (-75)\/h. Solve s*x - 9 = -15 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 1:40 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + r + r)*(r - 3 + 8*r - 6*r - 2*r**4).\nAnswer: -6*r**5 + 9*r**2 - 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50552 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -32.5236 from -880.\nAnswer: -847.4764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -62 + 246. Suppose -4*y - 5*p = -511, -4*p = -4*y - z + 530. Suppose -5*o = -51 - y. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3856?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 m, and 1 e when four letters picked without replacement from kiierikmmmzezeik.\nAnswer: 27\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -7298493 > -7298494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 + 6*n + 3. Let j be d(-2). Suppose 12*w + 30 = 17*w. Sort -2, j, w in increasing order.\nAnswer: -2, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.7, -0.1.\nAnswer: -0.7, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 6:39 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-4)*258\/645)\/((-405)\/(-20))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4118*r + 51. Let t be q(-4). Let l = t - -1313557\/80. Find the common denominator of 47\/88 and l.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203891.91 rounded to the nearest 100?\nAnswer: 203900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/5*(-44310)\/(-63). Let k = 1484 - a. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -15470*s. Let t(h) = 14*h**2 - 1. What is a(t(y))?\nAnswer: -216580*y**2 + 15470","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-37)\/((-333)\/6))\/(((-2)\/1233)\/((-1)\/(-3)))?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 79984 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112 or -113?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10480304 and 2064?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2317\/4 + -580. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d + 0*d + 58946 - d - 58946. Let w(z) = -4853*z**2. Give w(b(m)).\nAnswer: -19412*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70668*c**4 + 4*c - 14232.\nAnswer: -848016*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 456457 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/120 and 157\/840.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -3*q - 18. Let r = 10 + q. Suppose -4*z - 90 = -5*m, 0 = -8*z + 3*z. Calculate the highest common factor of r and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13179 and -1?\nAnswer: 13179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than -43.032?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -33. Let o(u) = -22*u + 17. Is o(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -15, -656039?\nAnswer: -656039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4, 1, 20, 59, 124, 221, 356, 535?\n\"Answer: p**3 + p**2 - 5*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3 + 2)*2)\/(-1). Let w = f + 5. Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + (((sqrt(90)*3*2 + sqrt(90))\/sqrt(10))\/(-2*sqrt(243) - sqrt(18)\/(sqrt(6) - sqrt(96))))**2.\nAnswer: -4295\/2809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016609 rounded to 5 decimal places?\nAnswer: 0.00166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 10*s + 1. Let f be p(4). Let y = 28 + f. Suppose 72 = -c + y*c. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 1 + 8 = -z, -5*z = 4*i - 1. Let w = i + 12. Calculate the remainder when 15 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.28 - 1.22. Let o = q - 2.5. What is the smallest value in -15, o, 1?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22 + 3*56\/(-24). Suppose 24*v - s*v - 6624 = 0. List the prime factors of v.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1578.0926 to one decimal place.\nAnswer: -1578.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -63 - 0 - (1967 + -2009)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*v = 0. Suppose -5*r = -z - 5, 0 = r + z - 6*z - 25. Factor r*h**3 + v + 2\/3*h**4 - 2\/3*h**2 + 0*h.\nAnswer: 2*h**2*(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 2. Let c be (-3)\/(0 - (-9)\/(-6)). Let r(q) = 0 + 3 - c. Let x(i) = k(i) - 4*r(i). Differentiate x(l) with respect to l.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 9) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 22.999964. Round t to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s, 4*c + s = 4*s + 8. Suppose -4 = -2*h + r, -3*h - c*r = -h - 10. Solve -6*f + h*f = 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82923795.\nAnswer: 3, 5, 1151, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*w - 19507 + 938003 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + s**2 + 4*s. Suppose m - 1 - 1 = 0. Let v(q) = q**2 - q**3 - 3*q - m*q - 3*q**2. What is 2*v(i) + 3*x(i)?\nAnswer: i**3 - i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.1493094 micrograms?\nAnswer: 149.3094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/1360*3\/(-6))\/((-14)\/56).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 406 = 2*b, b = 3*o + 87 + 122. Let s = b + 265. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5032 - -5117.88. What is t rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2447, 5568, 9337, 13754?\nAnswer: 18819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3371 (base 8) to base 12.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 - 23?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*f = 17, -2*f + 6*f + 16 = a. Let w = 7 - a. Let j = w - 0. Solve j*g = -2*g - 25, -3*z - 5*g = 25 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12d30b (base 15) in base 11?\nAnswer: -569097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 4, 10, 0.5, 2184, -0.3 in descending order.\nAnswer: 2184, 10, 4, 0.5, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 32363267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l + 3. Let z(n) be the second derivative of -11*n**3\/6 - 48*n - 11. Calculate y(z(x)).\nAnswer: 22*x + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*r + 5*c - 4248, 3*r + c - 4248 = 0. Let x = r + -2026. What is x rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 18*z - 5. Let r be s(4). Suppose 0 = 4*t - 20, 3*n - 113 = -r*t + 52. Suppose -f + 52 = -4*c + 272, c = -f + n. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(162)*-3*1 + sqrt(162))\/sqrt(9))\/(((sqrt(150) + sqrt(150)*-2)*6 - sqrt(150) - sqrt(150) - sqrt(150)) + 3*-2*sqrt(150)).\nAnswer: 2*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 20. Is 958*p\/(-4)*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 7, -5, 77, 75 in descending order.\nAnswer: 77, 75, 7, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -5, -83, 0.034 in increasing order.\nAnswer: -83, -5, -3\/4, 0.034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 7*n**2 - 6*n**2 - 4*n**4 - 5*n**3 - 11*n**3.\nAnswer: -4*n**2*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from {d: 2, k: 1, u: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 2:17 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8740151743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -91548, -183095, -274642, -366189, -457736, -549283?\n\"Answer: -91547*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.5955 + -5.5955. Let a(g) = -g**3 + 4*g**2 - 2. Let y be a(3). What is the second biggest value in h, -0.1, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*8\/(-3)*(-882)\/147\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + -6*2*sqrt(99) + sqrt(99) - (-5 + (sqrt(99) - (sqrt(99) + sqrt(99) + sqrt(99)*-2))).\nAnswer: -33*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 minus -0.002?\nAnswer: -81.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74644, -74404, -74036, -73546, -72940, -72224, -71404, -70486?\nAnswer: -69476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 78*s - 2734. Give y(35).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/45 of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 m when four letters picked without replacement from {v: 2, w: 1, m: 5, f: 3, e: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 p when three letters picked without replacement from {p: 15, y: 3}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 429*r + 1723. Let b = -50 - -91. Calculate the smallest common multiple of u(-4) and b.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36.72 - 36.72. Let n(c) = -c**3 - 3*c**2 - 3*c - 4. Let q be n(-3). Let a = -60 - -32. What is the third smallest value in a, f, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 5*o + 8 = 0, -5*k + 7 = -6*k + 3*o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 5. Let a = 1 + 6. Let o = a + -7. What is t(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*3)\/(10\/60*-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -304, -622, -986, -1396, -1852, -2354?\n\"Answer: -23*h**2 - 249*h - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7855*a - 7. Let m(h) = 2619*h + 2. What is 7*m(f) + 2*y(f)?\nAnswer: 2623*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h**2 + 2*h + 2. Let x(y) be the third derivative of y**2 + 1\/2*y**3 + 0 + 1\/6*y**4 + 0*y + 7\/60*y**5. Give 5*a(z) - 3*x(z).\nAnswer: -z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57 + 528*s**3 - 2*s**2 - 119 - 145*s**3 + 62 - 923*s wrt s?\nAnswer: 2298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1800, 1808, 1816, 1824, 1832?\nAnswer: 1840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 7*t + 2*c + 10 = 0, -3*t = -4*c - 2. Let q(i) = -2*i**3 - i**2 + 4*i. Let l be q(t). Let z(o) = -2*o - 1. Calculate z(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2*(-6)\/(-305). Let w = k - 405\/244. Find the common denominator of w and -11\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4272.241 decades in centuries?\nAnswer: 427.2241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11810 is divided by 97.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39843, -79847, -119857, -159879, -199919, -239983, -280077, -320207?\nAnswer: -360379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336) + (-3*sqrt(336) - sqrt(336))*-6)\/sqrt(8)*4)\/(2*(3*(-1*sqrt(6) + sqrt(6)) + sqrt(24)\/(sqrt(4)*2) + sqrt(6))).\nAnswer: 100*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 59*z**2 + z - 65. Give m(59).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -15160, -1, 1.\nAnswer: -15160, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v - 17. Calculate q(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 24*i**2. Let c(x) be the first derivative of 15*x**3 - 1206. Determine o(c(m)).\nAnswer: 48600*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*v + 190090 = -91*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 + 2*a**2 + 37 - 17 + 7*a**3 to k*a**2 + s*a**3 + i*a + y and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 2489?\nAnswer: 2489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -111 greater than -108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 142 - 148. Which is the smallest value? (a) 0 (b) w (c) 2\/17 (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 - 4)*(-555*l**2 + 285*l**2 + 271*l**2 + 639*l**3) to p*l + r*l**3 + o + w*l**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7926 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppbbpbbcb. Give prob of sequence ppb.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390*z - 200*z = 194*z - 19*a - 25, -a - 11 = z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 * 0.1229\nAnswer: 0.015977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18900)\/(-630)*1\/14)\/(((-120)\/35)\/(-4))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 equal to 3.9809256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.785 and -5.7.\nAnswer: 27.2745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*i + 49001079 - 48992817 = 0 for i.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -9*j + 19. Suppose 4*a - 8*a + 668 = 5*d, 5*d + 628 = j*a. Is a a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -113\/26 + -561\/182. Find the common denominator of 10\/41 and a.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 12770*i. Let x(f) = 2*f - 563. Determine z(x(w)).\nAnswer: 25540*w - 7189510","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10\/(-1))\/20)\/(((-20)\/(-3))\/20).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 343*a + 5 + 9*a**2 - 336*a - 16*a**2 + a**3. Give b(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 474*k**3 - 3*k**2 + k + 1. Let c be s(1). Suppose -481 = -g + 3*p, -5*g + 6*g - 5*p = c. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8) + -1 + (-10)\/(-8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 350 by -759.\nAnswer: -350\/759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -2a00d4?\nAnswer: -2a00d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9182, 9203, 9224, 9245?\nAnswer: 9266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + ((-45)\/(-18) - (-820)\/40).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 + 51. Let x(i) be the third derivative of 0*i + 1\/60*i**5 - i**2 + y - 1\/9*i**4 - 2\/9*i**3 + 1\/40*i**6. Factor x(q).\nAnswer: (q - 1)*(3*q + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.97 and -5331649?\nAnswer: -10503348.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**5\/10 - l**4\/3 + l**3\/3 + 3*l**2\/2 - 11*l + 2. Does 8 divide n(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 5\/3*h**3 + 7*h + 0*h**2 + 0. Let q(m) = 3*m**2. Give i(q(c)).\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = 128 - 50. Solve -h = -3*a + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*a = 57*a + 228. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qppqqp. What is prob of sequence qq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10425*f - 5090*f + 9 - 5103*f + 26 to s*f + l and give s.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3259, 12976, 29153, 51784, 80863, 116384, 158341, 206728?\nAnswer: 261539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15532 + 248425\/16. What is the common denominator of (-1343)\/(-1122) + (-4)\/(-6) + 0 and a?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 659\/2 + (-1)\/(-2). Let q = 12963 - 285139\/22. What is the common denominator of q and x\/(-54) - (-2)\/4?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 148466 and 148516 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -844.5 - -844. Let u = 33 + -367\/11. What is the third smallest value in r, u, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 3*z - 7. Let k be y(-5). Let x be 17 - (1 + k + -3). Suppose 3*n = 5*n - x. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1820081165 to the nearest integer?\nAnswer: 42662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssaaasevccdeaavdasa. What is prob of sequence daa?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**5 + 5*o**5 - 5*o**5 + (-3*o**2 - 2*o**2 + 3*o**2)*(-3*o**3 + o**3 + 4*o**3) + (48*o**4 + 25*o**4 - 48*o**4)*(-3 + 3 - o).\nAnswer: -31*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -89*h - 23*h - 14*h - 4404 + 498 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2012120220210 (base 3) in base 4?\nAnswer: -10132112211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -2*i + 6, -3*i - 23 = 5*l - 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 11*i**2 - 8*i + 9. Let j be v(10). Let x = j - -1225. What are the prime factors of (1 - (-10)\/(-6)) + x\/(-6)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2825034.95 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4234 or 2063?\nAnswer: 2063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -132, -2\/7, -0.3, -6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3850587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -14, 58, 130, 202, 274?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**2 + a**2 - 3*a**2 + (5 - a - 5)*(-3 - a + 3) - 6*a**2 + 2*a**2 + a**2 + 6*a**2 + 0*a**2 - a**2 to the form k + d*a**2 + r*a and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j + 7. Let h(p) = -5*p + 8. Let o(y) = -4*a(y) + 3*h(y). Determine o(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r**4 - 2*r**2 - 11. Let u(b) = -27*b**4 - 9*b**2 - 44. Let s(n) = -2*u(n) + 9*x(n). Find the first derivative of s(q) wrt q.\nAnswer: -36*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 4:20 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 70939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 7:19 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16216456521 plus -8991?\nAnswer: 16216447530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 50 = -3*g, 6*g - 7*g - 2 = i for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1352 is divided by 151?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 9*r**2 - 16*r + 22. Let c be x(10). Let z be (-1)\/(-9)*(-1197)\/c. Let i = -1 - -4. Which is greater: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10868379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 237 - -1066. Suppose 4*m - n - 597 = 0. Suppose -m + 102 = -u. Is u 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 11:20 PM and 2:24 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 4*z + 8. Let q be d(4). Let r = q - -23. Is 23 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139660.54 - -168290.\nAnswer: 28629.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.4 + -1.5. What is the nearest to -1\/3 in -2\/9, 0.4, m?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119 and 4423400?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12109*l - 396 = -12043*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 2*d - 92386 = 0, -1337*d + 1341*d = -5*m + 76979. What is the thousands digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1116301*v**2 + 2 - 558102*v**2 - 558137*v**2 - 2.\nAnswer: 62*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 6532?\nAnswer: 32660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 47735953, 47735955, 47735957?\n\"Answer: 2*t + 47735951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - k**2 + 2*k - 1. Let w be n(1). Which is the closest to w? (a) -0.09 (b) 1\/7 (c) -1\/9 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24114452 < 24114451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 1. Let u be n(0). Let d be 0\/(u + (-3)\/(-1)). Let 1\/4*s**2 - 1\/4*s + d = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -231 + 230.7. Let p be 3 - (-2 - 1 - 3). Suppose 4*n - p = -1. Put n, o, 4 in ascending order.\nAnswer: o, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -12, -78, 3 in descending order.\nAnswer: 5, 3, -5, -12, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + l - 10. Let b(n) = n**2 + n - 5. Let q(j) = 5*b(j) - 3*v(j). Let u be q(-3). Let t = 43 + u. What is the highest common factor of t and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u. Let s be (6\/13)\/3 + 49180\/(-260). Let f = s + 272. Let d(a) = f - 3*a - 83. Determine d(c(v)).\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 31*m**2 - 182*m - 70. Let r be j(-36). Factor 0*z + 0 - 5\/4*z**r + 5\/4*z**5 - 5\/4*z**3 + 5\/4*z**4.\nAnswer: 5*z**2*(z - 1)*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 3:22 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/11 + (-848)\/(-11). Let v be 14\/r + 119\/11. Solve 3*s + v = -5*k + k, 0 = -4*k + 4*s - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 15*a + 15*a - 4 + 2.\nAnswer: 30*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -46682.7 to the nearest 1000.\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen quarters of a century?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 20*r**2. Let y(c) = 586812*c. What is d(y(s))?\nAnswer: 6886966466880*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 3, l: 5, m: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -4*t - 4*n + 14, 3*t = -5*n + 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5133 = -22*j + 4935 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*f - 2*f**3 + 2*f - 4 - 29*f + 2*f**2 - 13*f to r*f**2 + i*f + t + z*f**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*m - 438, o + 2*o = -3*m + 657. Let z = m + -150. What is the highest common factor of 46 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.6 (b) 195 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -43, -83, -121, -157, -191?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 10100111100011101100011?\nAnswer: -10100111100011101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144226540, -144226541, -144226542, -144226543, -144226544?\nAnswer: -144226545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 103894501 to the power of 1\/3, to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.4 - 2. Let q = 35.4 - -9.6. Let d = -44 + q. Which is the closest to d? (a) -0.1 (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v - 9. Let a be x(3). Suppose a*c + 3*c = -2*o + 7, 2*c = -5*o + 23. Sort 5, c, -4, -6.\nAnswer: -6, -4, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 0*v**5 + 0*v**3 + 1\/2*v**6 - 5 + 0*v**4 + 0*v - 3\/2*v**2. What is the second derivative of h(b) wrt b?\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21902a7 - -5a?\nAnswer: 2190345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 10 = -6*c. Let n = 5 - c. Suppose -n = -x - 0. Solve x*q - 20 = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 3*y**2 + 3*y - 1. Let o(p) = -p**3 + 3*p**2 - 3*p + 1. Let g(b) = 4*h(b) + 5*o(b). Factor g(d).\nAnswer: -(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73\/4 or -5546?\nAnswer: -5546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 275808 and 68952.\nAnswer: 275808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*a**2 + 45*a**2 - 2 + 78*a**2 in the form m*a**2 + o + l*a and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 66, 160, 314, 528, 802?\n\"Answer: 30*u**2 + 4*u + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-135)\/(-78)*(-36)\/(-45). Suppose 5*p - 4*r = -3, -9*r = -5*p - 4*r - 5. Which is smaller: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -51 + 53 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**5\/60 - g**4\/24 - g**3\/6 + 97*g**2 - g. Let v(n) = 3*n + 22. Let h be v(-8). Determine l(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 5, -19 in decreasing order.\nAnswer: 5, -0.5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -78, -86, -92, -96?\n\"Answer: i**2 - 11*i - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 9:01 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24818, -24823, -24828, -24833, -24838?\nAnswer: -24843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 943744121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y + 5. Let j = 27 - 32. Let c(x) = 8*x + 6. Determine j*p(u) + 4*c(u).\nAnswer: -3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 0.3, -1237, 2\/5, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 5*b = -25, -643*i + 31*b = -648*i + 51 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 4*t + 30 = 0, -2*q + 6 = 2*t. Let r = 2 + -1.4. Let x = 2.4 + r. Which is the closest to -1? (a) -2\/15 (b) q (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2891426224901 and -30?\nAnswer: 2891426224871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t - 57 = 2*z, 1509*t - 7*z + 2*z = 1507*t + 66 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2992 = -6*f + 10455 + 61739. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1080, -1082, -1082, -1080, -1076?\nAnswer: -1070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 2*r - 4*r)*(4*r**2 - 2*r**2 - r + 0*r**2) + (-11*r + 0*r + 4*r)*(-1 + 1 + 2*r**2) + 2*r**3 + r**3 - 2*r**3.\nAnswer: -15*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205131.\nAnswer: 3, 101, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -4 + 12 + -9 + (-4 - -2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 - 113*l - 60. What is d(57)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 19*o - 464. Calculate x(32).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 152?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -67b (base 14) in base 6?\nAnswer: -5541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**3 - 9*q - 4. Let c(v) = -5*v**3 - 19*v - 7. Calculate 4*c(m) - 7*x(m).\nAnswer: m**3 - 13*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25 + -4 + -10 - (-104)\/(-10). Let y + 3\/5*p**2 + 6\/5*p = 0. Calculate p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s*s**(-4\/23)\/s)\/s*s\/(s**(15\/7)\/s))**40 assuming s is positive.\nAnswer: s**(4400\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 - n**3 + 2*n**3 + (n**2 - 4*n**2 + 4*n**2)*(3*n - 4*n + 2*n + (-3 - 4 + 5)*(2*n + 4*n + 3*n)).\nAnswer: -18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k - 14. Let l be x(-17). Suppose 8*t - l*t = 0. Solve t*a = -4*a + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**8\/21 - n**4\/8 + n**3\/3 - 7*n**2 + 1. Find the second derivative of o(r) wrt r.\nAnswer: 320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5283 - 721*o**3 + 5283 - o**2 + 263*o**3.\nAnswer: -458*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-3) - (-33)\/(-9). Which is the nearest to 1? (a) x (b) 1\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -5\/21*x**7 + 0*x**4 + 1\/20*x**5 + 0*x**2 + 0*x**6 - 4*x + 65\/6*x**3 + 0. What is the second derivative of l(m) wrt m?\nAnswer: -200*m**3 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 28 = -2*m + 11, -4*d + 55 = 5*m. Let p be 6\/(-21) - (-86)\/m. Solve 5*a - 8 = 2*n, -a - a + p = -3*n for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1463438758?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y**2 - 4*y - 3. Let j(d) = d**3 - 17*d**2 + 17*d - 12. Let x be j(16). List the prime factors of o(x).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270434.\nAnswer: 2, 23, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*f = 48*f + 121*f - 467976. What is the remainder when f is divided by 79?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 348 and 711718?\nAnswer: 4270308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4 - 2 - l**3 - 4*l**2 + 12*l**2. Let h be x(8). Solve -40 = -5*b + 3*t + h*t, -2*t = 6 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 10*z + 1. Let v be c(-10). Is v smaller than 1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0234057994 to 6 decimal places.\nAnswer: -0.023406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 1:24 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qt when two letters picked without replacement from tutqqisqiq.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 36 - 39 - -2?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9775, -9753, -9731, -9709, -9687, -9665?\n\"Answer: 22*w - 9797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -35 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2254722 to the nearest integer?\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18529?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/10 (b) -0.4 (c) -531 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + -34. Let o = v - -58.2. Which is the second biggest value? (a) 0.4 (b) 53\/4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1. Let r(j) = j**3 - 6*j**2 - 5*j + 4. Let c be r(7). Let m = c - 8. Solve 5*k = -h*k + m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2778286 is divided by 53?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/7 + 13858*d**2\/7 - 24026294*d\/7 + 71954214\/7 = 0. What is d?\nAnswer: 3, 3463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 5*p + 17. Let i = 38\/5 - p. Let y = 205\/3 + -69. Which is the nearest to y? (a) i (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = k, 206*x - 104*x + 19 = 99*x - 5*k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**4\/6 + w. Let c(a) = -68*a + 5. Let r(y) = -177*y + 14. Let g(h) = 8*c(h) - 3*r(h). Calculate g(s(o)).\nAnswer: 26*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -356 + 461. Calculate the least common multiple of s and 12.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33*-0.9225\nAnswer: -30.4425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -46*p**3 + 5*p**2 + 5*p. Let a(c) = 851*c**3 - 92*c**2 - 92*c. Calculate -5*a(o) - 92*x(o).\nAnswer: -23*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226194 - 22*d**2 + d - 226194.\nAnswer: -22*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 574\/(-820)*1\/((-84)\/16).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -26. Let n(a) = 2*a**3 - a - 2. Let i be n(w). Let l be 2\/(i\/(-9))*6. Is -10 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6712 = 3*j, -6*j = -3*j + 3*w - 6714. List the prime factors of (-6)\/10 + j\/10.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/548 (b) 0.01 (c) 4 (d) -13\/12 (e) 0.5 (f) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2567.8168 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -h + 4*h. Solve -4*g + 4*f = 0, h*f + 7 + 3 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t - 1 + 6 - 3 - 2.\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*1*-6 - 5*(sqrt(85)*2 + sqrt(85)))\/(-2*sqrt(500) - -2*sqrt(2880)).\nAnswer: -3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-943276\nAnswer: 282982.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(2\/3)\/k))\/(k**(3\/5)\/k))**47*(k**1*k\/(k*k**(-1\/2)*k))\/(k**(-1)\/k)**(-1\/59) assuming k is positive.\nAnswer: k**(61831\/1770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f + 0 + 1 - 1.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 9092.043391\nAnswer: 9087.043391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 6:41 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-2*(-3)\/(-48)). Suppose -k = 4*k - 4*b - l, -3*k + 17 = -b. Factor m - 4*m - k*m - 2*m**2 + 3*m.\nAnswer: -2*m*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*h = 17. Let n(z) = -z - 2. Let q be n(h). Suppose 2 = -b + 2*f - q, -3*b - 5*f - 18 = 0. Is b equal to -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 6*o + 29 + 16, 3*w + 3*o + 30 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*p**6 - 8298628*p**4 - p**2 - 1260045*p wrt p?\nAnswer: -480*p**3 - 199167072*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3993 and 3261.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17424211, -34848414, -52272621, -69696832, -87121047, -104545266?\nAnswer: -121969489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*h = -45*h - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1512 - -347.1512. Which is greater: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232227202.2 rounded to the nearest ten thousand?\nAnswer: -232230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22929 - -0.3.\nAnswer: -22928.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*x + 1798 + 4537, -1267 = -t + 3*x. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -154?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4125, -8278, -12459, -16674, -20929, -25230, -29583?\n\"Answer: -b**3 - 8*b**2 - 4122*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/(-6) - 2\/3. Let x(v) = 7*v**3 + v**2 - 4. Let a(c) = -3 - 16*c + 6*c**3 + c**2 + 33*c - 17*c. What is i*a(g) + 4*x(g)?\nAnswer: -2*g**3 - g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/5)\/(-3*(-6)\/(-60))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 17620*o - 15523220.\nAnswer: -5*(o + 1762)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 15 + 12 + 2*w - 92 + 24.\nAnswer: 2*w - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -0*d - a + 11, -4 = -4*a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4987 is divided by 96.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**4 - 78604130*x**3 + 308930462652845*x**2 = 0.\nAnswer: 0, 7860413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00146631 to 5 decimal places.\nAnswer: 0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1949 and 23.\nAnswer: 44827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from uuhu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/24 - (-2465)\/(-60).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = 2*p. Let f = -1 - p. Let j be ((-10)\/4)\/((-1)\/f). What is the third smallest value in j, -2\/11, -3\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + -5 + (1 + sqrt(500) + 0 + sqrt(500))**2.\nAnswer: 40*sqrt(5) + 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 3*t**2 - 4*t + 5. Let j be i(-4). Let u be 2\/4 - (-5)\/(-10). Suppose 0 = j*a - u*a - 5. Is a greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 115486 and 77?\nAnswer: 1270346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 6409, 0.3, 28?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50978, -101965, -152956, -203951, -254950, -305953, -356960?\nAnswer: -407971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n - 90. Calculate v(-28).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2 = 2*t + 8, 3*t - i = 0. Suppose -3*u = -0*u. Solve u*q + t = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.851 - -4.788. Let y = -10 - u. Let g = y - -6.337. Round g to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 318 = -320. Let c be x - (-60)\/(-33) - 220\/(-121). Solve -b + c*t = 3*t - 4, t - 1 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyhxhwqytthhtqh. Give prob of sequence tx.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/7*(-120505)\/3130?\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*a*p**3 + 8*a*p**2 - 185883*a + 713379*p**3 + 1 wrt p?\nAnswer: 54*a + 4280274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 87599957 a multiple of 1482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105963 and 10647.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 2862.7\nAnswer: 2862.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -1 + 459\/595 + 0. Let f = -3\/7 - m. Let p be 10\/6 + -1 - 0. What is the nearest to f in p, 1\/7, 3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 2*n - 184, 3*n = -5*i - 199. Do i and -37 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (121 + -131)\/(1*-2). Solve -10 = 2*y + 15*h - 19*h, 3*y - q*h = -13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8c (base 13) to base 4.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r - 2. Let c be q(-2). Let o = c + -4. Suppose -3*a = -a + s - o, 0 = 4*a + s - 12. What is the smallest value in a, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*p + 2*u, 3*u + 15 = 0. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 17*g + 3 - 20 - 24*g**3 + 9*g**3 - 17*g**2. Let n(q) = 5*q**3 + 6*q**2 - 6*q + 6. Suppose 0 = 17*j + 173 - 71. What is j*k(x) - 17*n(x)?\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5 = -0. Suppose 5*s - 41 = 69. Suppose -2*r - 6 = 4*b, -2*b - 3*r + s = -7*r. What is the remainder when b is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1048 (base 11) to base 2\nAnswer: 10101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -6*z + 44. Suppose 272*x = 258*x + 434. Calculate the remainder when x is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387.4408 hours in milliseconds?\nAnswer: 1394786880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 1. Factor -3*x**5 - 3*x**r - 5*x**4 - 2*x**3 - 7*x**3 - 4*x**4.\nAnswer: -3*x**2*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12100333 + 3?\nAnswer: 12101002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/44*187\/(-238)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 369048?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 13 - 1 = -a, 3 = 4*a - 3*w. Suppose -h = z + a - 0, -3*z = -2*h + 9. Solve -2*o + h*o + 4 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-186)\/(-8)*(0 - 3\/6). Let v = d - -667\/56. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -15*u - 2. What are the prime factors of b(-3)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + t**2 - 5*t**3 + 45*t + t**2 - 45*t to d*t + b*t**2 + k + s*t**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3228618*d**3 + 204*d**2 + 13*d + 12 wrt d.\nAnswer: 19371708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 9:02 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30261*k + 0 + 15000*k + 0 + 15129*k.\nAnswer: -132*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4656f8 (base 16) to base 14.\nAnswer: 87dd44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -151110 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - -54. Suppose -p*k = -99*k + 43529. Is k a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*x - 138 = -394 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1742387*a**5 - 498*a**2 - 2879*a.\nAnswer: 104543220*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + (45 - (-8 - 16)) + 6.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 305058 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 369007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 1\/4, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 14*(-24)\/(-56)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -295, -14\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, 2\/19, 0.04?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h**2 + 71*h - 11. Let s be m(-12). List the prime factors of -17 + 884 - (s - 3).\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134003870 divided by -26774?\nAnswer: -5005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14203353*i**2 + 10111125 wrt i.\nAnswer: -28406706*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*y - 4*h, -3*y = -2*h - 29 + 7. Calculate the remainder when (-11)\/(-1) - (-3 + 2) is divided by -3 - (y + 56\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 10111001110000110100?\nAnswer: -10111001110000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92 and 276.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -10*b - 29*b**2 + 2 - 7*b + 19*b. Let w be v(-1). Let r = w + 42. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2547028841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.682934 to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/584 and (-36)\/(-81) + (-45)\/12?\nAnswer: 5256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66889.5 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 9:27 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 5:25 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ipxpxxixxipq. Give prob of picking 1 p, 1 i, 1 q, and 1 x.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z**3 + 9. Let m(c) = -c**3 - 2. Let u be 2\/7 + (-240)\/(-42). Let i be 22\/(-12) + (-1)\/u. Calculate i*r(n) - 9*m(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -6. Let b = k + 7. Suppose b*p = 4*d + 28, 3*p - 5*p = -d - 14. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**3 - 3 - 3*y**3 - 2*y - y. Let m be (4 - (-7 + 3)) + -10. What is k(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -47*d - 30. Let r(u) = 85*u - 44. Determine r(z(v)).\nAnswer: -3995*v - 2594","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.043? (a) 0 (b) -3\/8 (c) 53 (d) -0.2 (e) -5 (f) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178514 - 48827 = -43*z. What are the prime factors of z?\nAnswer: 17, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, j: 12, c: 1}. Give prob of sequence cjl.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 > 384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1680)\/(-882))\/((-8)\/(-6)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 3:01 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20502 by -3.\nAnswer: -6834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14565583?\nAnswer: 17, 856799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56*c**2*z**6 - c**2*z**2 - 465*c*z**2 + 18*z**4 wrt z.\nAnswer: 6720*c**2*z**3 + 432*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1337, -2609, -3883, -5159, -6437, -7717, -8999?\n\"Answer: -d**2 - 1269*d - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*z - 8. Suppose 4*b = 5*b - z. Solve -2 = 2*v - h - b, -2*h = 2*v - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5 + 176*j**4 - 1722*j**3 + 2416*j**2 + 8440*j - 9312 = 0 for j.\nAnswer: -97, -2, 1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -70 or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86 - 5*p**2 + 88 - 179 + p**2.\nAnswer: -4*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 299 plus -0.03?\nAnswer: 298.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 7:29 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.313 minutes to nanoseconds.\nAnswer: 1458780000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5972706 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + -3 + 4 - 3. Let h = 7489 + -60247\/8. Let d = h - -42. What is the biggest value in 3, m, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 58*d**2 - 74*d**2 + 3 + 49*d**2 as j + u*d**2 + w*d and give u.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 84*p - 65*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + (-101)\/11 - -1. Sort h, -9\/10, 1.\nAnswer: -9\/10, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**5\/70 + o**4\/42 + o**3\/21 - o**2\/7 + 1493*o. Factor x(b).\nAnswer: -2*(b - 1)**2*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, j: 2, m: 3}. What is prob of picking 1 m, 2 s, and 1 j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 - -64. What is the biggest value in -3\/8, o, -9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -2\/3*j**4 - 1\/3*j**6 + 0*j**2 + 0*j**3 + 4\/5*j**5 - 8*j + 1\/21*j**7 + 0. Find y such that r(y) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 4) to base 15\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/4*(-24)\/4. Solve 3*o = -0*o + h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423*q = -525*q + 20134902. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 + 5*c**2 + 3*c. Let r be s(-2). Let u(w) = -12*w - 2. Calculate the smallest common multiple of u(r) and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**3 - 2*f**2 - f + 3. Let k be w(3). Let g = k - 25. Let i = 16 - g. Solve -5*n = i*d - 25, -3*d + 0*n + n = -3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10*(-341940)\/(-834)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*a**3*q + 325*a**3 - 6*a**2*q - 142*a**2 - a*q + 2*a - 32*q wrt q?\nAnswer: -8*a**3 - 6*a**2 - a - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 273895993491 and 0.002.\nAnswer: 273895993491.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 17*m**2 + 2*m - 1. Let i be j(-2). Suppose 3*n + 15 = i. Suppose c - 19 = -3*x, -3*x - 4*c = -x - n. Calculate the remainder when 10 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-52))\/(4\/(-160))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.071232 rounded to 3 decimal places?\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 1. Let r be x(4). Suppose -2*h + 6 = 0, -3*t + r*h = -t + 3. Suppose 0 = -t*b + 2 + 10. Solve -c - 6 = -b*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**3 - f**2 + 3*f + 8. Let v be o(-4). Let i = -88 - v. Suppose 0*z + 5*z = i. What is the highest common divisor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 15. Let d = -122 - -126. Suppose -d*k + 84 = -0*k - 3*m, -k - 5*m = -44. What is the greatest common divisor of k and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 3626\/8820 + 2\/(-18).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 679.\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 25*o - 44. Let j be 2 - 0 - (-4)\/(-2). Suppose j = -0*t + t - 11. Calculate the least common multiple of v(-23) and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**12*g)\/g**(-3))**(-1\/9) assuming g is positive.\nAnswer: g**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -178 + 56 + 59 - ((1 - -1) + 0)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**2*j**(-1\/33))**(6\/11) assuming j is positive.\nAnswer: j**(196\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 6 = 2. Let n = 2 - p. Let s be (-10)\/(-4)*(-3)\/(-5). Which is the nearest to -0.1? (a) s (b) -0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 21*t**2 - 28*t + 160. Is 60 a factor of h(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 957 and 693.\nAnswer: 20097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4690 - 2178. Does 22 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 18 = -3*t + 3*p - 27, -5*p = 5 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 2. Solve -i = y + t, 2*t - 5 = 2*y + t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 4*p**2 - p - 4. Let m be b(4). Suppose -5*g + m = -g. Let j be (-2)\/(-3)*g\/4. What is the highest common divisor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 2 + 2)*(2 + 2 - 3)*(2 + 1 - 5).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2023211 - 3200?\nAnswer: 2020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-536)\/(-12)*85\/(-4). Let x = -969 - a. Let v = -638\/15 + 185\/6. Find the common denominator of v and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 2 - -2) + 99. Let l be (k - -1)\/(2\/1). Let i = l - 34. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -89. List the prime factors of q.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9430410189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12173009?\nAnswer: 12173009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*v + 5. Let x(y) = 38*y - 223. Let t be x(6). Solve -t*q + v*q + 12 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40 in -33, 56, 1\/3?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-3)\/(63\/3)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 - 44267*p + 44267*p.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/8723728 and 67\/15184?\nAnswer: 636832144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d**3 + 3*d**3 + 3*d + 3*d + (-48 + 48 - 3*d**2)*(-4 + 1 + 1)*(4*d - 6*d + 11*d) to m*d**3 + v*d + n + q*d**2 and give m.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 219205818 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-45)\/(-225) - 839\/(-5).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*g - 15, -11 = -f + 3*g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 11. Let j be c(-8). Suppose 2*r = -j*r + 30. Let u(g) = -g**2 + 7*g - 1. Let q be u(r). Solve 2*h - 24 = q*l, 5*l + h - 1 = -19 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 23*b + 78. Calculate the remainder when m(8) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rscssga. Give prob of picking 1 s, 1 a, and 1 c.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)*-3)\/((sqrt(8) - (sqrt(8) + sqrt(200)))\/sqrt(4)) - (-1*sqrt(1008))\/(-1*sqrt(400)).\nAnswer: 12*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, g: 2, z: 1, d: 2, c: 4, a: 6}. Give prob of picking 2 f and 1 c.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1105 is divided by 42?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + w**3 + 4*w**3 + 4*w.\nAnswer: 5*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 0 - 17\/3*i**3 + 17\/4*i**4 + 4*i**2 + 0*i. Let f be r(17). Round f to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 4 + 7 = y, 5*y + 4*a + 2 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2179.63 + -21.63. Let c = 2158.0001607 - m. What is c rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 12*i - 379. Let c be s(32). Solve 11 = -b + 3*m, -9*b + c*b = -3*m + 17 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 2, 4 in descending order.\nAnswer: 4, 2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**3 - 3*y**2 + 2*y + 2. Let w be (-80)\/30*(-18)\/4. Suppose 4*q + w = -0*q. Let a(z) = 7*z**3 + 5*z**2 - 3*z - 4. Calculate q*a(v) - 5*c(v).\nAnswer: -v**3 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 smaller than -11628055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -a + 3*b, -5*a = b - 1991 + 2011 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07387400865 to three decimal places.\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/45)\/(4\/(-30)*-2)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1709*n + 225 = -1754*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4330 divided by 433\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 - 72. Let b(w) = -5*w**3 - 12*w + 5 + 11*w + 0*w**3 + 4*w**3. Calculate b(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 156\/103 - 3\/206. What is the nearest to 0 in -5, -4\/7, k, 3\/4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (0 - 1) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2847\/(-146))\/((-6)\/(-4)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6 - 7*n + n**2 + 19*n - 15*n. Suppose -2*m - m + 18 = 0. Let k be a(m). Solve r + 5*u = 3*u - k, -4*r - 5*u = 36 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2376*k + 7127. What is n(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 5 - 9 = 5*o, 10 = -5*o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 11751 and 8.\nAnswer: 11759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -821 - -886. Calculate the remainder when 200 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58022033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -42052.44 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 + -45?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 252 and 1554?\nAnswer: 9324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 4:34 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 6*(-4 + sqrt(98)*1 + sqrt(98) + -1 + sqrt(98) + sqrt(98) + 2 + -3)*4*-3)**2.\nAnswer: -1749888*sqrt(2) + 8316868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2*j + 68. Let k = j - -10. What is the units digit of 24\/5 - k\/35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (11 - (5 + -15)) - (-8 - -1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -375.3 - -375. Let h = 0 - 3. Which is the biggest value? (a) 3\/7 (b) m (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -177315 - 2*u**2 - 477053 + 1776*u + 512*u.\nAnswer: -2*(u - 572)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and 3.5.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*o + 241, 5*o - 115 = 2*q - 4*q. Suppose -u = -9*u + 1000. Calculate the greatest common divisor of q and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13629*-0.08.\nAnswer: -1090.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21138 - 20970. What is the greatest common divisor of v and 8652?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1128 and 371958.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - 5. Let r = -3.45 + -33.55. Let c = r - n. What is the third smallest value in 0.1, c, -3\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(0 - -2)*-1. Suppose -11*l + w = -9*l - 19, 4*l - w = 33. Let t = v + l. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 2*j = 9, -2*j - 10 = -4*b + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.4 minus -0.09154?\nAnswer: -5.30846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 393353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 89.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 61910.0664 rounded to the nearest 1000?\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-4\/3)*m**(-3\/5))\/((m**(-2)*m*m)\/(m\/m**4*m)))\/((m**(-2\/3)\/m**8)\/((((m\/(m*m**(-1\/4)*m))\/m)\/m)\/m*m)**(-2\/37)) assuming m is positive.\nAnswer: m**(3163\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 7:57 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 6) to base 8\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 11968 = 2*g, 3*g = -3*u - 14342 - 3607. Let x = g - -197390\/33. Find the common denominator of x and (-274)\/15 + (-62)\/155.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**5 - 3*n**5 + 3*n**5 + (0*n**3 - n**3 + 0*n**3)*(-n**2 - 3*n + 3*n) + (2*n**2 - 2*n**2 + n**2)*(2*n + n - 59*n)*(6*n**2 + n**2 - 4*n**2).\nAnswer: -165*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/2*-1*((-12)\/10)\/(220\/(-275))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**4 + 402336*w**3 - 13552886088*w**2 + 154997830411200*w - 70893749472036372 = 0. Calculate w.\nAnswer: 477, 33369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*l**2 - 10*l**2 + 2*l**4)*(-1 - 3 + 6 + (-2 + 6 - 2)*(2 - 1 + 1) - 1 + 0 - 1 + 1 + 2 - 1 + 4 - 4 - 4 + (-1 + 4 - 1)*(0 + 2 - 1) + 11 - 9 + 13).\nAnswer: 38*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/(-9)*(576\/(-352))\/9.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 12:48 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009683 to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 993\/99 + (-150)\/15. Let t(k) be the second derivative of -1\/165*k**6 + 1\/66*k**4 + 18*k + 0 + 1\/110*k**5 - x*k**3 + 0*k**2. Factor t(f).\nAnswer: -2*f*(f - 1)**2*(f + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + (2*(-1 + sqrt(242)))**2 + -6*(sqrt(242) + -1).\nAnswer: -143*sqrt(2) + 978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*c + 768. Let h = -171 + c. What is the common denominator of (-42)\/6*(-1)\/6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 1:48 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-9)\/((d\/((d\/d**(1\/2))\/d)*d)\/d))**1\/(d*d*d**7*d**(1\/10))**(-3\/4) assuming d is positive.\nAnswer: d**(-147\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 9*g + 6536. Let y be 6\/(1 + 1) + (-4826)\/g. What is the second biggest value in 0.1, 5, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5 - 22 = 0. Suppose 3*l - u = 18. Calculate the greatest common divisor of 99 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - -101. Let u = -121 + r. What is the remainder when 9 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2447928 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 110642?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/(-10))\/(-4)*35. Let c(w) = -w**2 - 15*w - 8. Let b be c(p). Solve 0*g - b = 3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -244*k**3 - 9740*k**2 - 96800*k + 8000.\nAnswer: -4*(k + 20)**2*(61*k - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2054335773?\nAnswer: 3, 7, 97825513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 12*p - p**2 - 4 + 6*p - 7*p. Let k be w(6). Let l(t) = -3*t + 5 + 4*t - 27*t**2 + k*t**2. Determine l(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 16 = -3*h. Let x be (-4 + 13)*h\/(-3). What is the common denominator of 59\/10 and (66\/x)\/(2\/10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6*c**2 - 10*c + 18. Let u(f) = -6*f + 27 - 3*f**2 - 8 - 10. Let n(d) = -6*q(d) + 11*u(d). Factor n(i).\nAnswer: 3*(i - 3)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q - 2 + 2 + (2*q + 2*q - 5*q)*(-3 + 3 + 5))*(q - 5*q + 2*q) + (-2*q**2 + 15*q**2 + 13*q**2)*(2 - 2 + 3) to j + u*q**2 + m*q and give u.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 6*y**2 + 2*y - 4. Suppose -2*x - h = -5*h + 14, h = -x - 1. Let u be t(x). Suppose 0*s + 2*i = s - 2, i = -4*s + u. Solve 4 + s = 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5355.212mg?\nAnswer: 0.005355212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*p + 11, -4*d - 2*p + 8 + 10 = 0. Solve -d*r = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u - 11*u + 150. What is the tens digit of ((-96)\/(-30)*1)\/(4\/u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27038 + -27037. Which is smaller: -30016 or f?\nAnswer: -30016","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*p + 5*m = 90*p + 110, -m = -3*p - 58 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -5*b - 3*x, -5*x + 1322 - 1286 = -2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169959 is divided by 169827?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 3039655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 3:00 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 633 and 272011072.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2158 - -2158.1. Let l = 196 + -3726\/19. Which is the nearest to -1\/4? (a) 4 (b) r (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 10:53 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 119 + 29. Let p(v) = -9*v**3 - v**2 - v. Let j be p(-1). Is 6221\/j + (-4)\/d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 1959*b - 1960*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -844 + 1686 - 64*c - 5*c**3 - 7*c - 34*c - 845.\nAnswer: -5*c**3 - 105*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10230 - 2?\nAnswer: -10232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 6*x**2 + x + 2. Let h be c(-6). Let v = -68 - -64. Is v at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339986 a multiple of 389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5552 (base 6) to base 12.\nAnswer: 8b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5705 and 280.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2))**(-23)\/(p**(-2)\/p)**46 assuming p is positive.\nAnswer: p**184","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-3 - -2) + 7. Suppose -l*o - 5*i = o - 35, -3*o = 2*i - 23. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 884\/22 - (2 + (-100)\/55). What is the hundreds digit of (1 - (-2056)\/18) + j\/(-180)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -78733.868 to the nearest 100.\nAnswer: -78700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2815827030?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -360586726*s - 406821960 wrt s?\nAnswer: -360586726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -134 and -279?\nAnswer: 37386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9526.964 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1 (b) -55 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 16. Suppose 10 = 5*z + 5*m, 0 = -d*m - 2*m - 8. Solve -v + 2 = z*j - 7, 0 = 2*v - 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-3) + 9\/(27\/4). Let k(f) = 2*f**2 - 5. Suppose -15 = -3*o - 0. Let c(h) be the first derivative of -2*h**3\/3 + 4*h + 1. Give o*c(y) + x*k(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -2, 2 in decreasing order.\nAnswer: 17, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 11:37 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b - 8*b**2 + 11*b**2 + 6088 - 6088 + 192*b**3 as d + l*b**2 + i*b**3 + u*b and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1213220111 (base 4) to base 7.\nAnswer: -3415343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -504 + 1242. Calculate the greatest common factor of 27 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from esessee?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 7*t**2 - 2*t + 2*t + 3 + 5*t. Let x be n(6). Let g(w) = w**3 + 3*w**2 - w + 1. Let j be g(x). Calculate the highest common factor of j and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/1684803 and 36\/9079.\nAnswer: 11793621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15429, -3, 5 in increasing order.\nAnswer: -15429, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -20 - (30\/9)\/(30\/(-45)). Which is greater: d or -252\/17?\nAnswer: -252\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -15.91. Let r = -3.59 + y. Round r to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117 or -118?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10*(-375)\/120?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18470 + 26016. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175)*-5 - 4*(sqrt(28)\/sqrt(4) - sqrt(7)).\nAnswer: -25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 918659653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -145, -0.1 in increasing order.\nAnswer: -145, -4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*2 + (-9)\/(-1). Suppose -34*o + 72 = -10*o. Solve 0 = -2*p + i - x - o, 4*p = -5*i for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 10*o - 43618 = 13*o, -3*o + 10897 = q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102709483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -42a9?\nAnswer: -42a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*5\/12*216\/(-135)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 0)\/((-1)\/(-17)). Suppose -2*o - 5 = -y. What are the prime factors of 2 + -2 - o\/(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y = -3*g - 23, -2*y - 2 = -341*g + 342*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7718 divided by 1\nAnswer: -7718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + -0.7. Let o = h + 0.24. Let r = o - 0.02. Round r to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -9824?\nAnswer: -3\/4912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yly when three letters picked without replacement from yyllcc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 2:13 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (0 + -2)*-2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86289, -85427, -83089, -78537, -71033?\nAnswer: -59839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-12)\/(-14))*1200\/(-700).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 16309, 11, 0, 1 in decreasing order.\nAnswer: 16309, 11, 1, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 1 + 6*m**2 + 6*m**2 + m - 3*m**2. Let z(c) = -c**3 + c**2 - 1. Let y be z(1). What is the units digit of f(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (58 - (0\/(-3) + -2)). Let x = a - -115. What are the prime factors of x?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -62 and -50 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(378)\/sqrt(3) - sqrt(350)*1)\/((sqrt(35) + 4*sqrt(70)\/sqrt(2) + sqrt(35))\/sqrt(5)) + 1).\nAnswer: -5 + 5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 - 50 - -26 - 37 - (1 + (2 - 10)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 12*a - 29. Give h(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/1120 and -9\/65.\nAnswer: 14560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2))**(-15)\/((c*c**(-1\/17))\/(c*c*c**1\/c)))**(-2\/25) assuming c is positive.\nAnswer: c**(1494\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5161 - -0.68526. Let v = 0.164 - l. Round v to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, y: 5}. Give prob of picking 3 v.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 322 and 1023106?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2*0\/(-2). Let x be ((-4)\/(-2) - v) + -5. Let u(g) = 3*g - 1. What is u(x)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-57176)\/(-336) - 2\/12. What is the greatest common divisor of o and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4695073.\nAnswer: 4695073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rin when three letters picked without replacement from {r: 1, q: 2, n: 1, p: 4, i: 1}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*sqrt(891)*-4 + -5).\nAnswer: -180*sqrt(11) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y - 2. Let r(h) = -7*h + 5. Give 9*c(d) + 4*r(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-30)\/3 + 2 + -1. Let t = -7 - f. Determine a, given that -26*a + 230*a - 867*a**t + 0 - 12 = 0.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -29881*u**2 + 40249709*u - 2694 = 0.\nAnswer: 2\/29881, 1347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 5, -0.4, 1\/13, -49\/2?\nAnswer: -49\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -10*v + 11*v - 152*v**3 - 218*v**3. Let q be d(1). Round q to the nearest ten.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306666*j**2 - 306669*j**2 + 0*j + 0*j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2083367570?\nAnswer: 2, 5, 208336757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 3. Let s(z) = 5*z + 45. Let y(n) = -15*q(n) - s(n). Let g(r) be the third derivative of 7*r**5\/20 + 8*r**2 + 12*r. Determine g(y(l)).\nAnswer: 8400*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b + 25*b = -2*x + 16, -3*x + b + 10 = 0. Let h be x + (4 - 0 - 4). Put h, -42, 5 in decreasing order.\nAnswer: 5, h, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*o - 2*f - 22, -3*f = 2*o + 6. Suppose -5*j = -3*l + 5*l, -5*l = -o*j + 31. List the prime factors of (j\/(-4))\/(1\/(-22)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*y - 27 - 5*y + 46*y.\nAnswer: 3*y - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2 + 31 + -23 + -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294630 = 8*v - 381362. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -570 divided by -6\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - (7 - 4)) + (-114 - -2). Let q = v + 112. Suppose 89 = -q*n + 93. Solve 5*s - 5 = 5*d, d - 4 = -n*s + 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/(q\/(q*(q*q**(1\/2)\/q*q)\/q)*q*q))*q**(-4))\/(q*q*q*q\/(q**(5\/3)*q)*(q**(-4)*q)\/q) assuming q is positive.\nAnswer: q**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.030918, 1, 4 in decreasing order.\nAnswer: 4, 1, -2.030918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 10, g: 2}. What is prob of sequence zgz?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/7)\/(((-280)\/30)\/(-14)). What is the second smallest value in l, -1\/8, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337734137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 15\/2. Which is the nearest to u? (a) 2 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 5*h - 5, -4*h = -3*h - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 22 + 2517 + -2483?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -46) + (1187 - 1222).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/168 and (-9858)\/3472 + -1*(-7)\/3.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 403900643 to the power of 1\/2, to the nearest integer?\nAnswer: 20097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 100302.\nAnswer: 100302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gh when two letters picked without replacement from hyffgrr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 194*d**4 + 14*d**4 - 37 - 161 wrt d?\nAnswer: 832*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143393021 to the nearest integer?\nAnswer: 11975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -74*k**4\/13 + 5110*k**3\/13 - 48228*k**2\/13 + 45512*k\/13 - 2320\/13 = 0.\nAnswer: 2\/37, 1, 10, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315606471.\nAnswer: 3, 105202157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -16) + -6 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**4 + 2456*m**3 - 12*m**2 - 2778*m - 12.\nAnswer: 24*m**2 + 14736*m - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*k + 4 = 0. Let g = k - 6. Let z(f) = -2 - 261*f**2 + 1 + f + 262*f**2. Calculate z(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 85 = -2*j. Let l be (j*640)\/(5\/(-1000)). What is l rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 43 - 3. Let j(q) = -3*q - 12. What is the common denominator of j(s) and (-4 + (-21)\/(-6))\/(5\/74)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.809525 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (5 - 8)) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -5 + 5 + 2 + -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1\/65, -2 in decreasing order.\nAnswer: -1\/65, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1384.182*0.5\nAnswer: -692.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -5745.5584 to the nearest one hundred.\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*(((w**(-2\/3)*w)\/w)\/w)\/w*w)**(-2\/9)*((w**(12\/7)\/w*w)\/w)\/((w\/(w\/w**(1\/37)))\/w) assuming w is positive.\nAnswer: w**(9727\/6993)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*l**2 - 212*l**3 + 22*l**2 - 86*l**2 + l**3 wrt l?\nAnswer: -1266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -100111011101111101?\nAnswer: 100111011110000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73*i**4 + 1024*i**3 - 3*i**2 - 1072004*i?\nAnswer: 876*i**2 + 6144*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2f65 (base 16) in base 14?\nAnswer: 45c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - a)*(a**2 - 5*a + 5*a + (0*a - a + 2*a)*(a - 5*a + 3*a) - a**2 + 3*a**2 - 4*a**2 + (-3 + 4 - 5)*(-a**2 - 2 + 2)).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 4027393.96.\nAnswer: 4027394.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 less than or equal to 834?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4775 divided by -15.\nAnswer: 955\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222001001 - 10?\nAnswer: 1222000221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 106911 (b) 1 (c) -4 (d) -7 (e) -0.4 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1*-1*(7 - 8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 0.02 (b) 5 (c) 1\/4 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = f - 2*m, -2*m = -2*f - 0*f + 6. Suppose -2*u = 2*u - 4. Let b = u - f. Calculate the remainder when b is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -1. Let a(i) = -i**2 + 1. Let v be a(s). Solve -o + 3 = -v*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.7 - 6.7. Let p = 9\/16 - 1\/16. Let k = -6 - -6. Which is the nearest to p? (a) k (b) 0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/25)*a*a**(-3\/8))\/(a\/a**(-1\/13)*a*(a\/(a*a**(-3))*a)\/a))**11 assuming a is positive.\nAnswer: a**(-125037\/2600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = -10*s + 1958. Let w = s + 1691. What are the prime factors of w?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 28488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*l**4 - 367162*l**3 - l**2 + 73312420*l wrt l?\nAnswer: 84*l**2 - 2202972*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 2*k**2 - 5*k + 1. Calculate o(3).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20040931*s**2 - 20040929*s**2 + 40081840*s**2.\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 4, 4\/5, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 661 divide 429433192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1447826, 1447835, 1447844?\nAnswer: 1447853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-3*(0 + sqrt(847)) + -5 + sqrt(847) + (sqrt(847) - (-2 + sqrt(847) + sqrt(847))))*-3 + -2)**2.\nAnswer: 2178*sqrt(7) + 68728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -94.99948 and 3.\nAnswer: -284.99844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3*2\/30). Is j less than or equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -21*j**5 + 7*j**4 + 7*j**3 - j. Let v(y) = -21*y**5 + 6*y**4 + 6*y**3 - y. Let n(u) = 6*q(u) - 7*v(u). Find the second derivative of n(s) wrt s.\nAnswer: 420*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202 a factor of 402600284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 12:22 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 6*j**2 + 4*j + 16. Let r be a(-6). Let m be (r - 4)\/((-118)\/(-56) + -2). Is 14\/m - (-1 + (-6050)\/16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2560 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**3\/15 - 3. Factor q(r).\nAnswer: r**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -17.1.\nAnswer: -51.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(6)\/sqrt(3)*-5).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a - 3. Let z be h(5). Suppose -3*i + z = i. Suppose i*r - 63 = -2*r - 4*d, -2*r - 2*d + 24 = 0. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 68. Let a = -29.3 - -19.6. Let z = -9.8 - a. Is c at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10815.28*0.1303\nAnswer: 1409.230984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -20, 75438, 7, 4.\nAnswer: -20, -4, 4, 7, 75438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, l: 3, e: 1, m: 9, i: 4}. What is prob of sequence lim?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -105, -103, -101, -99?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 + 2*c**3 + c**4 + (-2 + 2 - 2*c**2)*(0 + 0 - 3*c**2).\nAnswer: 7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117632565 is divided by 12324?\nAnswer: 12309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(128) + -1*sqrt(128)))\/((sqrt(8) - sqrt(128))*-3))\/(-3*sqrt(200) - (-3*sqrt(8) + sqrt(8))*-6)*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2395?\nAnswer: 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00882 rounded to four dps?\nAnswer: -0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 28. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*x - 24*x = 20*x - 144. Let v = 186 + -105. Let d = x + v. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.02 and 23575.\nAnswer: 24046.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/26 in -1\/9, 3, 0, 162?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a factor of 79776400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 64, 106, 160, 226?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1261633291 to 5 dps.\nAnswer: -0.12616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/5 + 294240814*i\/5 - 294240816\/5.\nAnswer: 2*(i - 1)*(i + 147120408)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92, 20, -5 in ascending order.\nAnswer: -92, -5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 18*y + 18*y + 17*y - 6 + 8*y**2 - 12*y**3 - 43*y. Let n be d(-23). What is n rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**6\/6 + 227*f**5\/5 - 201*f**2 - 913. What is the second derivative of v(p) wrt p?\nAnswer: -20*p**3 + 2724*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 195 = -192. Let r = -76 + p. Let y = -15 + r. What are the prime factors of y?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 8 = 227. What is the common denominator of (-3 + o\/16)*-46 and 366\/(-8)*6\/63?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**(-8))**(-32)\/((z**(-1\/3))**(-4\/29)\/((z\/(z**(-2\/19)\/z))\/(z*(z*z\/(z*z**(-3)))\/z))) assuming z is positive.\nAnswer: z**(-3208\/1653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.7622 - 8.68. Round r to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2151 and -560.\nAnswer: 120.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-6))\/(((-14)\/((-63)\/(-9)))\/15).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -29*c**3 - 5*c**2 + 8*c - 9. Let s(t) = -19*t**3 - 3*t**2 + 5*t - 6. Give 8*s(m) - 5*w(m).\nAnswer: -7*m**3 + m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = n + 2. Let s(z) = 33*z**2 + 2*z - 3. Let m be s(n). Let j be (-10)\/(-3)*20*42\/35. Calculate the highest common divisor of j and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.66 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2358507841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 594 and 2222.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 8436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q = -6. Let o be (4 - 32)\/(q*1). Let w = 14 - o. Solve -2*j + 8 = 2*j, w = 4*m - 4*j + 20 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u - 9*u + 7*u + 7*u. Let d(y) = -y**2 - 29. Give d(p(r)).\nAnswer: -r**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**3 - 30*w**2 - 4*w - 30. Determine c(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 857 - 727. Let v = 15 - -7. What is the remainder when u is divided by v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/221 + 233\/884. Let f = -37\/18 - -14\/9. Let p = -1\/6 - f. What is the second biggest value in 0, l, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.5, -0.02, 1\/4, 3\/4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -1175*c**2 + 48178*c - 169. Give b(41).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, 57, -4, -61, -114, -163?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 7:04 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*c - 12*c + 188 - 4*c - 33 + 32*c as b*c + s and give s.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64 and 3232.\nAnswer: 6464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -190\/2081 + -9265\/12486. Let p = 2.2 - 0.9. Put p, n, 2\/9, -1\/3 in decreasing order.\nAnswer: p, 2\/9, -1\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1595564 and -1?\nAnswer: 1595564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -3\/160*x**6 - 48*x**2 + 0 + 0*x - 1\/280*x**7 - 17\/32*x**4 + 3\/16*x**5 + 3\/4*x**3. Factor k(v).\nAnswer: -3*(v - 1)**3*(v + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**5 - 6*t**5 + 2*t**5 + (-4*t**3 - 7*t**3 + 4*t**3)*(-2*t**2 - 18*t**2 - 20*t**2) + (-1 - 2 + 2)*(t**3 - t**3 - 2*t**5) + 4 + t**5 - 4.\nAnswer: 282*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(110) - 3*sqrt(110))\/sqrt(10) - (sqrt(11) - sqrt(44)\/sqrt(16)))**2 + 0.\nAnswer: 275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139477, 139481, 139489, 139501, 139517, 139537, 139561?\nAnswer: 139589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001132 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4076, 16821, 38228, 68291, 107004, 154361, 210356, 274983?\n\"Answer: -v**3 + 4337*v**2 - 259*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24\/17? (a) 146 (b) 220 (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 + 136. Let s = 199 - o. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 divided by -13?\nAnswer: -43\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/19, 55, 1\/2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 10 - (-1 + -4 - -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -12*n**2 - 3*n. Let o(v) be the third derivative of 43*v**5\/12 + 55*v**4\/24 + 1578*v**2. Calculate -110*f(g) - 6*o(g).\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1238 - -712. Let z = w + 327. Let l = 666 + z. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*j - 344 = -56 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3050*h + 67088. Calculate g(22).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -163, 3, -5\/2.\nAnswer: -163, -5\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 609 and 2697?\nAnswer: 18879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 161.000001028 - 161. Round r to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s. Let b(v) = -v**3 - 3*v**2 - 3*v - 1. Let i be b(-2). Let f(n) = 3 + 1933*n - 1927*n + i. What is a(f(c))?\nAnswer: -12*c - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02094423 to 4 decimal places.\nAnswer: 0.0209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 3*o - 6*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -578278692 divided by 144569673.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 10:32 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 2*m + 2. Let b be l(7). Is 3 a factor of b\/19 + 24\/228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/9 >= 66\/1139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 5 = -2*m + g, -4*m = 4*g - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-8))\/(4 - (-34)\/(-8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 - 0.409.\nAnswer: -1.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**2 + 259*p + 1568. Determine j(-58).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -480 in -2\/9, -77, 5, 1.4?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -3, 1\/7, -1, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + sqrt(28)*3 + 3 + (1*sqrt(1372) + sqrt(1372) - sqrt(28)).\nAnswer: 3 + 34*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520160.\nAnswer: 2, 5, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 11, 42, 97, 182, 303, 466?\nAnswer: 677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -7146, -0.08, 0.5?\nAnswer: -7146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 97*h + 753. What is f(-8)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 20 = -2*s, -4*l - 18 = 3*s - 7*l. Suppose -2 - 3 = 5*t. Is (3 + s + -38)*t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/1 + (-69)\/3. Let v(i) = i**2 - 30*i + 63. Let p be v(27). Let z = p - o. Solve 0 = 3*u + 2*g + 6 + 6, -z*u = g + 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1936 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z = 28*z - 3612. What are the prime factors of z?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x - 3. What is the remainder when 27 is divided by a(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3383963.599 - 3385539. Let i = 1616.40184 + j. Let f = i - 41. Round f to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -1148 in descending order.\nAnswer: 2, -1, -1148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -271707527.9999942 + 271707569. Let s = g + -41. What is s rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*q**3 - 105310*q**2 - 209620*q + 5240 = 0.\nAnswer: -2, 2\/81, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 3)\/((-2)\/74). Let q = n + -26. What is the smallest common multiple of 14 and q?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0 = 2. Let k be -5*(2\/(-5))\/t. Suppose -x - 2*x + g = -35, g = k*x - 24. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18812 - -29638. Suppose -14*b + 18*b + 5*s = j, 4 = -2*s. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v + 818. Let p(k) = 2935*k**2. Determine j(p(l)).\nAnswer: -14675*l**2 + 818","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 830 and 180170.\nAnswer: 14954110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 2 + 2 + 3)*(-29 - 50 + 1).\nAnswer: -78*n - 234","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 12*g**2 - g - 1. Let v be m(-1). Let d = v - 9. Solve -3*w - o = d, -3*o - 9 = w + 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -4.9 (c) -1 (d) -0.176\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qt when two letters picked without replacement from {t: 2, q: 9}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, p: 3, o: 1}. Give prob of picking 1 c and 1 p.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1122*a**3 - 218*a**3 - 178*a**3 - 182*a**3 - 174*a**3 - 187*a**3 - 181*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5082 times 26.046?\nAnswer: 132365.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.91 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 4:10 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 40*u**3 + 2*u**2 - u. Let y be f(1). Let x = y + 15. Let m = x - 1. What are the prime factors of m?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 20. Let a = -21 - -20.6. Let o = -0.8 + 0.3. Sort a, o, t in ascending order.\nAnswer: t, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 - -38.8. Let r = -6 - -8. Let m = -50 - -49.9. Which is the nearest to r? (a) q (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -350, -511, -672, -833, -994?\n\"Answer: -161*r - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -707375728480634.00000068 + 707375652314753. Let x = o + 76165872. Let n = -9 - x. Round n to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4317108 is divided by 127.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -14.32.\nAnswer: -14.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**(-2\/7)*z))\/z)**(-10\/9)*(z**1)**(8\/13))**(-35) assuming z is positive.\nAnswer: z**(-5770\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*12\/(-9)*(6174\/(-12))\/49.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 12*y + 14*y - 6 = 0, 0 = 2*y. Suppose -147\/4*w**4 - 1 - 3*w + 51\/4*w**l + 28*w**3 = 0. What is w?\nAnswer: -2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.11, 3\/2, -1\/3, -175?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3739 + 4386 - 2525 + 3234 - 284)*(d**4 + 2*d**3 - 2*d**3) to the form u*d + q*d**2 + n*d**3 + y + t*d**4 and give t.\nAnswer: 8550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*v = -9 - 17, 0 = 3*v + 24. What is the remainder when 1164 is divided by r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -h - y - 3, -2*y = -4*h + 2. Suppose r = 6*r + 5*l - 30, h*r - 4*l - 18 = 0. Let b be (-3 - (-1 + -2)) + r. Solve 4*m - b = 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*i + 19, 2*i + 2*i = -4*w + 20. Calculate the common denominator of (-1 - (-5 + i))\/(3\/(-13)) and -59\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 274104 and 2256.\nAnswer: 548208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + sqrt(128) - (-3*(sqrt(128) + 2))**2.\nAnswer: -1186 - 280*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6))\/(15\/(-600))*(-2)\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 3*z + 3*z)*(9 + 4 + 78).\nAnswer: 728*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*g - 2 - 5*g**2 - 6*g - 8*g + 22*g in the form t + i*g**2 + n*g and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 765 and 585684?\nAnswer: 2928420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 149394 + 939320.\nAnswer: 1088714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 54*t**2 + 1 - 1 - 55*t**2. Let a(y) = 60*y. What is a(f(p))?\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 35440268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 339 + -339. Suppose -z - 4*p + 14 - 1 = 0, -5*z + 5*p + 40 = s. Solve -20 = -5*h - 5*i, h + 0*i = -2*i + z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(4*(-6)\/(-40) - (-1501)\/2765)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/14 - 1269\/(-3192)) + -32*57\/14592?\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y + 56*y + 4*y + 26*y.\nAnswer: 81*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11214 + 2507 = -2865*n - 49309 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w - 9*w + 9*w + 4*w. Let i be 5*(-2)\/(-4)*30. Let v(q) = -q - 1. Let l(o) = -50*o - 75. Let t(g) = i*v(g) - l(g). Determine t(a(b)).\nAnswer: -25*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u + 5 + 4*u + 2*u. Let h be (-1)\/8 + 21923\/88. Suppose -253*w - 16 = -h*w. Let b(f) = -f - 6. Give w*b(n) - 5*t(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 283558090?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (2 - 3 - 0). Let t be (-1 - l)\/(-2) - -2. Let g = -9959 + 9960. What is the biggest value in 2\/13, g, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/13, 1, 0.29 in ascending order.\nAnswer: 1\/13, 0.29, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*4\/24*2. Let r = -8.4785 + 0.4785. Which is the third smallest value? (a) r (b) g (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 + 52. Let w be l + -3 + 864\/12. Suppose 2*m - 9 = 3*h, 2*h = 7*m - 12*m + w. Calculate the remainder when m is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 115*d + 2435. Let x be a(-21). Calculate the highest common factor of 212 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*x. Differentiate -3 - 5*w**3 + 7*w**3 + x wrt w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -7*p**3 - 6*p**2 - 6*p. Let y(r) = -13*r**3 + 195 - 11*r**2 - 195 - 11*r. Determine -11*b(i) + 6*y(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 1440*o - 1612. What is the thousands digit of i(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**4\/2 - 13483*v**3 + 554276*v**2 + 17085739*v + 205874361\/2 = 0.\nAnswer: -27007, -11, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/(11\/4) - -8. Sort -3, 16, m in decreasing order.\nAnswer: 16, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l + 3*l - 8*l - 3 + 3*l in the form i + g*l and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82*f**4 + 15*f wrt f?\nAnswer: 984*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 13 - 9\/20*a**5 - 1\/3*a**3 - 5\/4*a**4 + 0*a + 0*a**2. Factor x(f).\nAnswer: -f**2*(f + 2)*(9*f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287163703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 24038.490239 and -11616?\nAnswer: 35654.490239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 6652 and 6681 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38050 and 1317.\nAnswer: -50111850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 0)*(301*l - 159*l - 86*l)*(-2 + 3*l + 2) in the form p*l + o*l**2 + j and give o.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x**2 - 4*x**2 + x**2)*(5*x - 4 + 4)*(3 - 2 - 4) to the form c*x**2 + h*x + w + v*x**3 and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p. Suppose -s + 1 + 1 = 0. Suppose -s*m + 7*m - 13 = -4*w, w = 4*m - 2. Determine v(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12624711493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.011 + 0.089. Which is bigger: 8.5 or f?\nAnswer: 8.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18672 and 657021.\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200, -664, -1428, -2486, -3832, -5460?\nAnswer: -7364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + 2*sqrt(75))*5 + -2 + (-4 + sqrt(75) + 1 + sqrt(75))**2.\nAnswer: -10*sqrt(3) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1, -3\/20, 1\/8.\nAnswer: -1, -3\/20, 1\/8, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (180\/48 + 10 - -5)*16\/6. Sort -1, -10, x.\nAnswer: -10, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 - 28003910*c**2 - 39210948764405*c.\nAnswer: -5*c*(c + 2800391)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -19 (b) -5 (c) -0.5 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(-22)\/(-363)*11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 - 202*k - 1739. Let v be l(109). Put 0, v, -7, -13, -5 in decreasing order.\nAnswer: v, 0, -5, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -142. Let f = k + -26. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.019006 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, -0.3, 0.05, -4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*d + 11 - 1, 0 = -d + g + 2. Let x be ((-3)\/d)\/(21\/28). Suppose x*a - a = 31. What are the prime factors of a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 4*n - n**3)*(-1 + 0 + 0)*(1 - 1 + 7*n).\nAnswer: 7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23191025.\nAnswer: 5, 11, 13, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 975 and 1625?\nAnswer: 4875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*g - 52. What is the remainder when 8\/g + (2 - 861\/(-15)) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**2 + 1\/9*c**3 - 1 + 3*c. Let v(u) = 0. Calculate u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 123.7943 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 3*z**5\/4 - z**4\/12 - z**3\/6 + z**2\/2 + z. Let o be r(1). What is the highest common divisor of 8 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210311011323 (base 4) in base 3?\nAnswer: -200011111200200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -488, 0 in ascending order.\nAnswer: -488, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 12*h - 1. What are the prime factors of d(10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300\/(-225)*(4\/8)\/(6\/(1*-882)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n - 5. Let h(u) = 5*u + 4. What is 3*h(g) + 2*k(g)?\nAnswer: 7*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6))**(28\/9) assuming j is positive.\nAnswer: j**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n**3 - 2*n**2 - n - 3. Let a be x(3). Let y = -130 - a. Solve 5*h + y*k = -0*k + 2, -26 = -3*h + 5*k for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -1323?\nAnswer: -1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1566 and 348.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((0 + sqrt(19))*-1*-1 - (sqrt(304)*1 - (sqrt(19) - (sqrt(19) + sqrt(38)\/sqrt(2)*2))))**2 + -4.\nAnswer: -479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7 + (0 - 0\/1). Let k = -11 - s. Let j(u) = -3*u**3 - 3*u**2 - 5*u - 1. Is j(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1018575 and 405?\nAnswer: 1018575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22984, -23011, -23038, -23065, -23092, -23119?\n\"Answer: -27*f - 22957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*(sqrt(600) - -1*sqrt(600)))\/((-4*(sqrt(1728) + sqrt(1728)*-3 - sqrt(1728)) - sqrt(1728) - sqrt(1728))*4).\nAnswer: -5*sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7*g**2 + 3*g - 2. Let y be d(-4). Suppose 2*u + 105 = 33. Let p = u + y. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/25)\/l**(-2\/5) assuming l is positive.\nAnswer: l**(8\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 100 + 430. What are the prime factors of n?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21348598021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56062, -56366, -56670, -56974, -57278, -57582?\nAnswer: -57886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30 - -22033757?\nAnswer: 22033727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c**3 + 2*c**3 + 4*c**3 + (-10234*c + 5302*c + 7535*c)*(17 - 2*c**2 - 17).\nAnswer: -5205*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -64?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 = -2*r, -2*r = -3*o + r + 39. Suppose 0 = -4*z + o. Solve 0 = z*j + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1337 - 1343 + 5362 - 1340 + 14*p + 30*p - 1343.\nAnswer: 44*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -328717 (base 12) to base 10\nAnswer: -802819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 15*u - 168. Let q be w(11). Let j(v) = -4*v**2 - 4*v + 2. Let t(g) = 7*g**2 + 9*g - 4. Give q*t(s) - 5*j(s).\nAnswer: -s**2 - 7*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17163 is divided by 5715?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {c: 8, d: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-6))\/((-1)\/3). Let g = h + 14. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**2 + 4 - 4 + (1 - 1 + 2*x)*(2*x + 9 - 9) - 402*x - x**2 + 402*x - 3.\nAnswer: -2*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 185 + -68. Let m(k) = k**3 + 7*k**2 + 6*k - 3. Let i be m(-6). Is 2\/(i*(-3)\/o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (29292\/9)\/((-11245)\/(-3750) + -3). Round s to the nearest 10000.\nAnswer: -2440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*(sqrt(1088) + sqrt(1088) + sqrt(1088)*-2)**2 + 5 + -4*((sqrt(833) + -1)**2*-2 + sqrt(833)).\nAnswer: -140*sqrt(17) + 6681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -300419 divided by 7.\nAnswer: -42917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/18 + 16\/(-9). Let h = 57 - 57. Suppose h = 5*p - 4*z - 4 - 16, 3*p - 20 = 4*z. Sort k, p, -4.\nAnswer: -4, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -481 + 481. Solve k = f + 16*f - 34 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113692 is divided by 12311.\nAnswer: 2893","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005408824079 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 748366501?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 208*i**2 + 0*i**5 - 138 + 96*i - 8*i**3 - 4*i**5 - 156 - 36*i**4 + 38 = 0. Calculate i.\nAnswer: -8, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*b + 48973 + 263115, -2*s + b = -208037. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 3)*(-1 - 6 + 5)*(1 + 0 + 0)*(-2*m - 4 + 4).\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2 + 8 + 3*o - 5*o**2 + 39*o - 41*o. Calculate s(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 1 - 4. Let q = r - -1. Suppose 0*p - 2*p = -3*z + 6, -2*z + 5*p + q = 0. What is the least common multiple of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 11. Let t be u(-10). Sort -3, t, 0 in descending order.\nAnswer: t, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 29 = 5*u, -4*u - 2*c + 10 + 14 = 0. Suppose 0 = 5636*b - 5670*b. What is the nearest to 1\/2 in u, 3.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(99)*-1)\/sqrt(9) + sqrt(11)) - -5*(-1*sqrt(1584))**2) + 5.\nAnswer: 7925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -375 less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*m**6 - 161983*m**4 + 146541*m**2 - m - 4.\nAnswer: 360*m**3 - 3887592*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 12 (b) -1\/7 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 2*f**4\/27 + f**3\/3 + 2*f**2\/9 - 3*f. Factor j(z).\nAnswer: 2*(z + 2)*(4*z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 505483, 1010975, 1516467?\nAnswer: 2021959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1271658?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5945 and 5568.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 46, 106, 222, 412?\nAnswer: 694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f**2 - 13 - 4*f + 13)*(5 + 6 + 36) to k*f**2 + o*f + z and give k.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 126 = -4*j, -5*j = 4*g - 0*j - 68. Suppose 0 = 5*s + 4*f - 19 - g, 0 = 2*s - 4*f - 22. What is the smallest common multiple of 12 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 2.01137446.\nAnswer: 4.01137446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d**2 - 3*d + 12. Let p(i) = 14*i**2 + 9*i - 35. Let z(t) = 11*n(t) + 4*p(t). Let b be z(-6). Let l = 20 - b. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = 9 + 320. Let w = u - -49. Let k(m) = -3*m**2 + 3*m - 2. Determine k(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - u - 12*u + 13*u - 10*u. Let s(q) = 24*q**2. Calculate s(f(m)).\nAnswer: 1944*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (27540\/663)\/30*4\/(-18)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + k**2 - k + 1. Let q be j(0). Let s(f) = 12*f - q + 2*f - 2*f. Is s(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2390\/(-220) - 9\/(-198)) + 11. What is the nearest to w in -0.06, 11, 4\/9?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-37 - 41) - 20.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 9505\/288. Is 1 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100502091 + 22?\nAnswer: -100502069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**7\/70 - f**6\/2 - 31*f**5\/10 + 47*f**4\/2 - 105*f**3\/2 + 8*f**2 - 45*f. Let l(i) = 0. Calculate i.\nAnswer: -15, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**4\/8 - c**3\/2 + 90*c**2. What is h(4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3 - 1 + 18*u + 3 - 9. Let a(v) = -287*v + 63. Let r = 0 - -4. Let j(g) = r*a(g) + 63*h(g). Let m(o) = -2*o. Give j(m(x)).\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -5*y**3\/3 + 122. Let i(q) = -2*q + 2*q + 5*q**2. What is c(i(v))?\nAnswer: -125*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 28*w + 1089. Let g be v(0). Suppose q - 3*p - 1085 = 0, 11*p = q + 9*p - g. List the prime factors of q.\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 838195177?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 8*k**2 - 2*k - 12. Let n be c(-8). Suppose -n*j - 1840 + 11876 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**10)**(-20)\/(p**(2\/25)\/(p\/(p*((((p*p**(-8\/7)*p)\/p)\/p)\/p*p*p)\/p)*p)))**49 assuming p is positive.\nAnswer: p**(-242473\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.08 - 16.92. Which is the nearest to 1? (a) 2\/5 (b) 0.03 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549 is divided by 40.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1157734.111 - -1157771.11100065. Let m = x + -37. Round m to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 270 = 249. Let u = -10 - h. Let l(d) = -8*d**3 - 3*d**2 + 3*d - 3. Let n(t) = 9*t**3 + 4*t**2 - 4*t + 4. Determine u*n(q) - 4*l(q).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -3\/7 (c) 0.2 (d) -1224 (e) -66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h + 1. Let q(t) = 60*t - 6. Let v(f) = 4*j(f) + q(f). Let m be v(1). Suppose 0*d - m = -2*d. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 275903*l**2 + l + 8506?\nAnswer: 551806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5602 a factor of 212371029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 15*r**2 - 13*r + 13. Let a be b(-14). What is a rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1438 times 0.4\nAnswer: -575.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (175\/(-70) - 1870\/(-196)) + 1 + -8\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -23*q + 323. Let u be c(14). What is the nearest to u in 1\/2, -5\/4, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/20 and -41\/480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184206 = 4*d - 9192 - 5798. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d894 (base 16) in base 12?\nAnswer: -5a018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20112110 - -201010?\nAnswer: 21020120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*l**3 + 13*l**3 + 2*l**3 + (-3 - 1 + 1 + (4 - 3 + 1)*(-3 + 2 + 3))*(-3*l**3 + 0*l**3 + 4*l**3) to the form r*l**2 + o*l**3 + q*l + k and give o.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 705 and 889?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 356.5566 rounded to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 188*v**2 - 38*v + 71. Let z be l(2). Calculate the greatest common divisor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*p = -12. Suppose 0 = -k - p*j + 19, -5*k - 4*j = -42 + 2. Let m = 30 - -5. Solve 2*t - l = 9, 5*t - k*l - l - m = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15 + 147798?\nAnswer: 147802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.07, 1\/4, 3, -0.5, -19?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -3, 9.9, -1, -24?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 288\/1660297 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12552 - -24?\nAnswer: 12576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -48060.114115 and 119.\nAnswer: -47941.114115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/5 + 61680*k.\nAnswer: 2*k*(k + 154200)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 39 + 33 = 0. Which is the closest to -0.1? (a) -74 (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 38\/(-4))\/((-14)\/28). Let i = a - -37. Suppose 11*r = i*r + 22400. Round r to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44468\/3055 <= 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -107 + 202. Let x be (64\/640)\/(2\/20). What are the prime factors of x*(-2)\/(-4) - v\/(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 10) to base 3\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(88)\/(sqrt(32)\/sqrt(4)).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1229.6649 rounded to the nearest integer?\nAnswer: -1230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 482233838?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 217\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 8. Suppose 8*u - 165 = t*u. What is the common denominator of u\/(-1)*(-6)\/48 and -81\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (3 - ((1 + 3 - -4) + 1)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a century?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 + (432810\/(-9))\/(-15).\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36484.\nAnswer: 2, 7, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -327.98945 + 328. What is p rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29038 (base 10) to base 5\nAnswer: -1412123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/2)\/((-2)\/(-24)). Let h = 0 + f. What is the remainder when 20\/3*(-24)\/(-16) is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26 - -15)*1*-33. Suppose 13*j = -25 + r. What is the remainder when j is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.10557587024 + 0.\nAnswer: -0.10557587024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -223 - -221. Let y = -10 + 5. Let p be t + 5\/(y\/(-4)). Solve m - 8 = -p*x, 4*x - 3 = -3*m + 13 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 297, 930, 1 in descending order.\nAnswer: 930, 297, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1233294 is divided by 616636.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-7)*(-1)\/(-12)*(-24339)\/366?\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 3*o**4\/4 - o**3 - 3*o**2\/2 + 3*o + 8. Factor j(s).\nAnswer: 3*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32498608 to the power of 1\/2, to the nearest integer?\nAnswer: 5701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -967192\/9 smaller than -107466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 25 = 3*o, -395*w - 5*o - 25 = -400*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 460 or 447?\nAnswer: 447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33858 - -33920. Factor 25*d - 5\/4*d**3 + 0 + j*d**2.\nAnswer: -d*(d - 50)*(5*d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffifz. Give prob of picking 1 z and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 - 1)*(g - g - 2*g) - 3*g + 3*g + g)*((-4*g + 4*g - g)*(2 - g**2 - 2) + 2*g**3 + 2 - 2 + 2*g**3 - g**2 + g**2 - g**3 + 11 - 11).\nAnswer: 20*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3546781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*s**4 + 73341*s**2 - 25*s + 129379604 wrt s.\nAnswer: 28*s**3 + 146682*s - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*(-30)\/(-9)*39\/195.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501*g + 172 = 544*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18, -1\/6, 46.61?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 0.5 (c) 1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 509 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - -49. Suppose 1239 = 6*d - v. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -587 = -4*v - w + 902, -3*w - 727 = -2*v. Let s = -213 + v. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36827300 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64618516 by 4.\nAnswer: -16154629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3957 is divided by 1878?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5261 - 2102. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + -2 + -5 + (2*sqrt(11) + sqrt(11) - sqrt(11)))**2.\nAnswer: -112*sqrt(11) + 753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (-22 - (-28)\/4). Suppose -565 - 8983 = -l*d. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 29*z**6\/40 + 103*z**3\/6 + 2*z**2 + 52. Differentiate o(d) with respect to d.\nAnswer: 261*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y - 5. Let z be g(-5). Let f = z - -19. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1862915000 to the nearest 1000000.\nAnswer: 1863000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 2 = -7*t. Suppose 2172 = 2*x + t*x. Let f = x - 5969\/11. Are f and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -193\/35340 and -29\/88350.\nAnswer: 176700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*s**3\/3 + 146*s**2\/3 - 440*s + 168.\nAnswer: 2*(s - 6)*(s + 21)*(5*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g + 25. Let a(j) = 4*j + 32. What is -5*a(p) + 6*w(p)?\nAnswer: 4*p - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbnnbsnbbbnbwbb. What is prob of picking 1 b and 2 n?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 65)*21\/(-14). What are the prime factors of 3626\/22 - 18\/x?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4174 + -1901. List the prime factors of u.\nAnswer: 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -3*i + 0*i**3 + 14 + 0*i**2 - i**4 + 1\/15*i**6 - 1\/10*i**5. Suppose s(g) = 0. What is g?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292 - 304 - 3*q - 473 + 1069.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/2 + 223*t**2\/2 + 6812*t + 92950.\nAnswer: -(t - 275)*(t + 26)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 13. Let q be g(-8). Suppose q*v = v + 4. Suppose 2*j + 4 = -5*p, 0*j + 4*j - p - 14 = 0. Solve -5 = -j*f + v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49\/(-147)*0)\/(1*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6*o - 3*g - 30 = 0, -2*o + 12 = 2*g. Let c be 680\/32 + -1 + o\/8. Suppose 18*l = c*l - 12. Sort -3, -5, l in decreasing order.\nAnswer: l, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**4*h*h**(-1\/9)*h*h*h**(-1)*h**(-2\/17)*((h*h\/h**(-3\/8))\/(h\/(h*h\/(h\/(h\/((h*h\/h**3*h*h)\/h))*h*h))))**(2\/55) assuming h is positive.\nAnswer: h**(17813\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -210\/17 (b) -302 (c) 0 (d) -1\/4 (e) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-42 + 3) - (-22 + 55 + -14)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 - 3*c**3 - 4*c**2 + (3 - 3 - c)*(4 + 2*c**2 - 4) - 4*c**3 + 5*c**3 + 2*c + 3*c**3)*(-2*c**2 + 3*c**2 + 0*c**2).\nAnswer: -c**5 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 24 - 23 = 0. What is the remainder when 6 is divided by ((1 - 0) + h)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19755 is divided by 1230.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -979 - -979. Let x(y) = -y**3 + 2*y**2 + 1. Give x(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7204, 7198, 7192, 7186, 7180?\n\"Answer: -6*o + 7210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 10197770 to the nearest ten thousand.\nAnswer: 10200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283762 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 13. Let n be a(6). Find the third derivative of 74*i**5 + n*i**6 - 2*i**2 - 74*i**5 wrt i.\nAnswer: 840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from wxgxxwwffxgxg?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-1\/2)*x))**(1\/26))**6 assuming x is positive.\nAnswer: x**(-3\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 35 + 99)*(-2*m - 3*m + 4*m).\nAnswer: -66*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -211*j - 342. Let i = 157 + -146. Let d(v) = -69*v - 114. Let w(f) = i*d(f) - 4*r(f). What is the derivative of w(p) wrt p?\nAnswer: 85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmwomwwwwwo. Give prob of sequence wmow.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.49 - -1.78. Let i = -1.32 - f. Round i to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -517361 - -839530. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - (-84)\/(-18) - (-526)\/(-1290). Let t = -29551\/1290 - y. Find the common denominator of -51\/10 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 21 (c) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 (base 10) in base 16?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37\/39 + 8\/13. Let m be (-36)\/15*(-2800)\/(-23520). What is the smallest value in c, 0.06, m, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 266101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9*t. Let s(k) = -12 + 8 + 3. Let n(y) = -2*y + 4. Let c(d) = n(d) + 4*s(d). Give c(v(h)).\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 131, 290, 523, 836?\nAnswer: 1235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9594.289 days?\nAnswer: 13815776.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 639 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -350\/11*q**3 + 128\/11*q + 172\/11*q**2 + 0 + 50\/11*q**4 = 0.\nAnswer: -2\/5, 0, 1, 32\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.4 to one decimal place.\nAnswer: 9.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**5\/60 - 3*l**2 + l. Let h(n) = -n**2 + 107*n. Calculate h(v(t)).\nAnswer: -t**4 + 107*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -12*h + 2380. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00289226 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + l + 1. Let u be x(2). Let j(h) = 3*h - h - 7*h - 1. List the prime factors of j(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4713265, 4713277, 4713289, 4713301?\nAnswer: 4713313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 413308 and 12180?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -13*w**7\/7 - 19*w**3\/2 + 3*w + 1. What is the second derivative of q(p) wrt p?\nAnswer: -1560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 3*c**2 - 3*c. Let z be r(-4). Let m = 15 - 3. Let j = m + z. Calculate the smallest common multiple of j and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -28, -41, -68, -115, -188, -293, -436, -623?\n\"Answer: -y**3 - y**2 - 3*y - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*k**4 + 489*k**2 - 83490 wrt k.\nAnswer: -16*k**3 + 978*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-55))\/((-2)\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 1:18 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7557, 7470, 7341, 7170, 6957, 6702, 6405?\nAnswer: 6066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15309 + 459319\/30. Let h = s + -2\/15. Sort h, -1, 3, -11 in increasing order.\nAnswer: -11, -1, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/4*(-203)\/70 and (-86)\/(-8)*(-5 - 52\/(-12)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwbigjbjbbifj. Give prob of picking 1 b, 1 f, and 1 j.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2962 = 10*a - 2018. What is the lowest common multiple of a and 24?\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(10\/4 - 2). Let k be 0\/(1\/(p - -2)). Suppose -5*y + 2*l - 33 = k, 5*y - l = y - 24. Sort 0, y, -1.\nAnswer: y, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2 - 1) + -138)\/(6\/(-18)). Calculate the highest common factor of r and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6687, -13326, -19979, -26652, -33351, -40082?\nAnswer: -46851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/713193 and -97\/2?\nAnswer: 1426386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -682, -931, -1182, -1435, -1690, -1947, -2206?\nAnswer: -2467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100 - 10000?\nAnswer: -100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 789 and 51811?\nAnswer: 155433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -86 (base 16) to base 8\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -22. Suppose -b*c + 1705 = -1523. Is ((165\/(-6))\/(-11))\/(1\/c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 - 2*d**2 + 6*d**2 + (-2*d + d + 2*d)*(-3 - d + 3) + 4*d**2 - 2*d**2 - 4*d**2 as m + a*d + w*d**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -4*sqrt(117)*1 - sqrt(117)) + -1*2*sqrt(117))\/(((sqrt(189)*-4)\/sqrt(3))\/sqrt(7)).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhehbddhoobebhdhmodd. Give prob of picking 3 d.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(50) + -2*sqrt(1800))\/(sqrt(10) - -4*sqrt(90) - sqrt(10)).\nAnswer: -11*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 4*x**2 - 3*x + 6. What is l(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20555 - -20554.9. Let d = 0.02 - 0.32. What is the second smallest value in c, d, -14?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104452978.4 plus -4?\nAnswer: -104452982.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1155 (base 8) to base 2\nAnswer: 1001101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1 - 7*i**2 - 3 + 14*i.\nAnswer: -7*i**2 + 14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3375868 (base 9) in base 15?\nAnswer: -25eba2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1634, 9098, 21558, 39020, 61490, 88974, 121478, 159008?\nAnswer: 201570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 1)\/((60\/3)\/(-2)). Which is the second smallest value? (a) s (b) -1\/2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h*l*v**4 - 9724*h*l*v**2 - 15*h*v**4 - 2834*l*v**3 + 4*l*v**2 - 2*l wrt v?\nAnswer: -24*h*l*v - 360*h*v - 17004*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -203\/330 and -82\/33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 21. Suppose -4*m = -t - 4. Suppose -5*d = j - 112, 0*d - 26 = -d - m*j. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 3*j - 10 - 2*j**2 + 17*j. Let o be q(13). Suppose y + 38 = o*z, 2*y - 2 = -2*z + 18. What is the highest common factor of z and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3762 = -5*q + 1815, 0 = -3*q - 2*a + 3342. Let c(j) = -j + 2222 - q - 1114. Give c(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*(sqrt(500) + 0).\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5*x + 8 - 20, 5*x + 42 = -b. Let y = b + 33. What is the tens digit of -1 + y\/5 - (-374)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101939025, 203878049, 305817073, 407756097, 509695121?\nAnswer: 611634145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 - 26*v + 26*v)*(2*v**2 - 6*v**2 + v**2 + v**2).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151599938?\nAnswer: 2, 7, 739, 14653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -162, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnlnnnnlnnlnnnnnnnl. Give prob of picking 4 l.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3354 and 649546.\nAnswer: 652900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8773.\nAnswer: 31, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 5*h - 2*h)*(-1 - 1 + 7)*(-121 - 1554 - 1047).\nAnswer: -13610*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 74690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*x = -37*x + 73. Let u = x + 103. Solve 3*r + u = -5*i, 0 = 3*i + 2*r - 1 + 20 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 1, 342, -23 in increasing order.\nAnswer: -23, 1, 342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -25, 47, -180.\nAnswer: -180, -25, 1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*r + 4*r - 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -4*z - 8*i, -2*i - 2 = 0. Suppose 0 = -4*y + z + 247. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 5*v - 2*h - 2, 5*v - 3*h - 3 = 0. Let n(y) = 38*y + 6. Let z be n(4). Let w = 160 - z. Which is the second biggest value? (a) w (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxxxtffxttxfx. What is prob of sequence ftfr?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-206)\/(-3))\/(12 + (-12958)\/1083).\nAnswer: 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52300475 - -269.\nAnswer: -52300206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from ekuheurkkeperk?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1828 times -9929\nAnswer: 18150212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*-5)**2*5 + -2*sqrt(1573) + (6*sqrt(13)*-1 - sqrt(13)).\nAnswer: -29*sqrt(13) + 58500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 12:34 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 240*t**2. Let z(c) = -38*c - 8. Let m(x) = 28*x + 6. Let f(j) = 4*m(j) + 3*z(j). What is a(f(s))?\nAnswer: 960*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (235\/(-60) + 4)\/(((-464)\/12)\/29).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*i + 4043 = 98*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2 - 4. Suppose -a - 8 = -2*n. Suppose 0 = 2*v - 3*q + 16, -4*v + n*q = -2*v + 20. Put v, 10, 0 in ascending order.\nAnswer: v, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 4. Let l(c) = 451 + c**2 - 154 - 156 - 155 - 4*c**3. Let y(f) = -3*l(f) + 10*q(f). Suppose 8 = 3*t + 2. Determine y(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3955 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (10\/6)\/(2\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4281\/23 - 186. Suppose 4*c - 12 = 0, -4*v - 15 = -9*c + 4*c. Which is greater: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -10 - 38. Let q = d - -17. Solve -3*m - 3*o + 16 = -4*o, q*m - 3*o = 28 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 39 = 15. Let y be (-1)\/(18\/d*1\/(-10)). Calculate the greatest common factor of 10 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*v**2 + 11*v**5 + 11*v**5 - 6*v**2 wrt v?\nAnswer: 1320*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.65 * 31.\nAnswer: -423.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 979.001151 - 979. Round g to 5 decimal places.\nAnswer: 0.00115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4722487*x**3 - 4722482*x**3 + 14167446*x**3 - 4722476*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a - a + 2*a + (-2 + 1 - 1)*(a - a - 2*a) - 260 - 267 - 232 - 18000*a - 265 + 1024 as t + f*a and give f.\nAnswer: -17995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -5) + 4 + -1 + -18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19137 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*g - 4361 + 24407 = -492*g for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 62*m. Let b(l) = -20*l**2 - 3. What is r(b(k))?\nAnswer: -1240*k**2 - 186","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6468 is divided by 270.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 8*t + 8*t)*(0 - 7 + 1) - 28*t**2 + t**2 + 0*t**2.\nAnswer: -39*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 12:41 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*h - 396 = -72*h. Solve 77*i = 74*i - h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 98\/8 - (-1)\/(-4). Let y = 199 - 75. Suppose 3*c + 126 = 2*u, 2*c = u + u - y. Calculate the greatest common divisor of u and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 2. Calculate the least common multiple of w and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.33918 and -1292613.\nAnswer: -1292612.66082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.976 - 0.964. Let v = z - -8. What is v rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - (sqrt(20) + sqrt(500)*2))\/(2*(-2*sqrt(10) - sqrt(10))).\nAnswer: 5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12583, -18281, -17097, -9031?\nAnswer: 5917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1250\/(-180) + 7)*(4 + 0)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 12*q**2 - q - 31. Let i(s) = 11*s**2 - s - 25. Calculate 3*i(k) - 2*u(k).\nAnswer: 9*k**2 - k - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.1 (b) -1\/9 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -8*s + 4*s, 19*p - 55*s = -60*s + 652 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16004 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*v**5 + 7*v**3 - 291*v - 1 wrt v.\nAnswer: -240*v**3 + 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -887*p + 891*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 10203588.\nAnswer: 5\/10203588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.004 - -1.054. Let t = -0.05 + s. Sort -2, 0.3, t in decreasing order.\nAnswer: t, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/4)\/(103\/(-99)). Let j = 3\/206 - -1\/206. Let u = z + j. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + p + 1 = 0, 2*p + 269 - 267 = -5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 40*y**2 + 98*y - 194. List the prime factors of h(39).\nAnswer: 19, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide (3 - (-117)\/(-21))\/((-2)\/42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.96 and 5.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(24)\/sqrt(3)*-3).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.077949 (c) -0.046\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10545 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-3)*78\/(-65). Suppose -13*p = -1013 + 3600. Let m = -187 - p. Solve -v*i = -2*r - 0 + m, -4*i + 4*r - 8 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 125*w**2 - 21*w + 87. Is r(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 8 = 0, -2*t + 4*t = -4*y + 4. Let j = y + -2. Sort -5, j, 3 in decreasing order.\nAnswer: 3, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.143 + -6.1475. Let d = l - -3. Round d to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*z - 178*z = 5*o + 38, 5*z + 656 = -111*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/49, 11, -0.5?\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z + 14 + 8*z - 3*z - 1. Let f(h) = -2*h - 3. What is 9*f(j) + 2*l(j)?\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(42\/(-101)) + (-116)\/(-1218)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a**9\/a)\/a*a**8\/a*a)**(1\/80)*a**(-2)\/(a*a\/a**0)*(a*a\/(a**(-5)\/a))\/(a*(a**(1\/10)\/a)\/a*a) assuming a is positive.\nAnswer: a**(41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4 - 596*v**3 + 1178*v**2 + 1776*v = 0.\nAnswer: -1, 0, 3, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12023 (base 5) in base 8?\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*((sqrt(3328) - sqrt(3328)*-2) + 3)**2.\nAnswer: -179766 - 1728*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12 + 11 + 17\/((-833)\/(-28)). Let z(c) = c + 10. Let j be z(-5). What is the closest to 1\/4 in j, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**4\/8 - 23*a**3\/3 - 44*a**2. What are the prime factors of k(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 (base 10) to base 14\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83 - 81. Suppose -f*p - 120 = -5*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r = u + 25 - 288, 3*r + 4*u - 78 - 17 = 0 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-2\/5)*l*l*l*l*l\/(l*l**(-2\/11)*l)*l*(l**1\/l)**(-1\/5) assuming l is positive.\nAnswer: l**(263\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/789 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence baxx when four letters picked without replacement from {y: 1, i: 1, x: 8, b: 1, n: 4, a: 1}.\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 6 - 46. Suppose -3*b = b - j. Suppose 2*r - 30 = -4*h, b*h - 4*r = -0*r + 40. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 4*z**2 + z + 2. Let c(n) = -n - 12. Let s be c(-8). Let b be y(s). Let p = -12 + 7. Sort 2, b, p.\nAnswer: p, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 29 = -322*f + 321*f, -5*f + 4*f + 21 = 5*k for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 810962.4544 + -80.4544. Let z = -810926.2401 + a. Let y = z + 0.0401. What is y rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, n: 1, t: 10, z: 1}. What is prob of picking 2 k and 1 n?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(6*q - q - 4*q)*(15079 - 2021 + 10273 + (-2 + 0 + 3)*(-1 + 4 - 2) + 6 - 3 - 1).\nAnswer: -23334*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*j - 253*j = -20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 24*d**2 + 41*d - 392. Let j be h(25). Solve 13*t - j*t = -15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -10*m + 13*m - 4902, 0 = 4*m + 20. Which is bigger: h or 1641?\nAnswer: 1641","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.39301 - -0.09301. Suppose 2*k - 12 = 6*k. What is the nearest to 0 in k, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 2:21 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (1 + -1 - (17 - 12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 138725 at most 138725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 323323?\nAnswer: 323321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10.67 and -68181.\nAnswer: -68170.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 286 - 303. Let x(q) = 4*q**2 - 12*q - 81. What are the prime factors of x(g)?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 (base 15) in base 5?\nAnswer: -3414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158732.\nAnswer: 2, 7, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3 + 0 + 38072\/(-120). Which is smaller: x or -316?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - 17. Let d(s) = -s**2 - 20*s - 3. What are the prime factors of d(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -688205*h**2\/3 - 7420*h\/3 - 20\/3.\nAnswer: -5*(371*h + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 0*d - 3*d)*(-3 - 2 + 3) - 4*d - d + 3*d + 2*d - d - 2*d - 56*d - 8*d - 500*d.\nAnswer: -563*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1656 - 53. What are the prime factors of r?\nAnswer: 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31889.5 to the nearest 1000.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2429*-4.\nAnswer: -9716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 11*a - 293. Let m(d) = -3*d**2. Give c(m(w)).\nAnswer: -33*w**2 - 293","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (-1 - -11) - (-5 - (6 - -15))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-10) + (-82)\/(-205). Solve 0*u + u - 3 = o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1564732 + 3345432. What is k rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/450 + -188\/225. Let d be (-1 - -3)\/(21\/1158). Let i = d - 110. Which is the closest to i? (a) -0.3 (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 5*a, 5*a - 2 - 8 = -l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l - 5 - 10*l**2 - 13*l**2 + 27*l. Let c(y) be the first derivative of 4*y**3\/3 - 2*y**2 + y + 2. Let a(m) = 34*c(m) + 6*q(m). Factor a(w).\nAnswer: -2*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/9 + 195163*v**2\/3 + 2341943*v\/9 + 585485\/3.\nAnswer: (v + 1)*(v + 3)*(v + 585485)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -1648283271.5\nAnswer: 1648283270.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 2 - 2)*(6 - 4 - 3)*((-20*k - 503 + 503)*(-14 - 18 + 37) + 0*k + 0*k - 3*k).\nAnswer: 206*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, c: 2, k: 4, u: 3, y: 6}. What is prob of picking 2 c and 1 k?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/30)\/((-8)\/36) - 0.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 2*n + 1 = 0, -q = 4*n - 3*n - 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1531971 and 252.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8894862 kilograms in grams?\nAnswer: 889.4862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**3 + 16*o**2 + 14*o + 13. What is the remainder when 263 is divided by b(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 = 3*i + 2*x, i - 2443*x + 16 = 2448*x - 4896*x - 15 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 5:55 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -635823 * -0.5\nAnswer: 317911.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7*i + 5*h = -807, 0 = -3*i - h + 591. List the prime factors of i.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 56 - 26 + 2*b**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**6\/120 - s**5\/30 + s**4\/12 - s**3\/6 + 42*s**2. Let m(f) = 3*f**3 + 5*f**2 - 5*f + 1. Determine 5*i(a) + 2*m(a).\nAnswer: a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*t - 837*t + 529*t - 4*t**3.\nAnswer: -4*t**3 - 33*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 + 58*r - 171. Determine f(26).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1193, 6990, 16671, 30236?\nAnswer: 47685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkbtjmkbkkkjxxxk. What is prob of picking 1 m, 1 x, and 1 j?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -200 - -200. Let s(v) be the second derivative of -1\/50*v**5 + g - 1\/15*v**3 - 5*v - 1\/5*v**4 + 2\/75*v**6 + 2\/5*v**2. Determine d so that s(d) = 0.\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*h + 5. What is the third biggest value in h, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552623269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(((-18)\/12)\/((-27)\/12)). Is ((-112)\/r)\/(2*2\/(-288)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 c, and 1 y when three letters picked without replacement from {y: 4, j: 2, k: 1, c: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-102)*6\/(-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 40.4 and -1761.8.\nAnswer: -1721.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 3*m**2\/2 - 2. Let h be w(1). Let o(i) = i - 2. Let t be o(h). Is t at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/98 - -145\/196. Let i = -119 + 120. What is the smallest value in c, i, 6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q. Let s = 14 - 11. Give c(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 79485514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2675141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 16. Let f = t - 1. Let r = f - 5. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 125515 - 125515.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.13 from -11434.82352.\nAnswer: -11434.69352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2) + (-2 - (-5 + -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11846842.\nAnswer: 2, 7, 19, 44537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/22? (a) 12.1 (b) -3\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 + 22. Let a be (1*19659)\/(m\/8). Let p = a + -2380. What is the common denominator of p and -37\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 1 - l + 6*l + l**2 + 4*l**2 + 2. Let r(d) = -d**2 - 1. Let x(g) = -6*r(g) - z(g). Let u be x(2). What is the closest to -3 in 1\/2, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.2+0.75\nAnswer: 6.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2669 divided by 2669?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 991 + -19817\/20. Let b(h) be the second derivative of -9\/40*h**5 - 1\/28*h**7 + 0*h**3 + 0*h**2 + 4*h - 1\/8*h**4 + 0 - r*h**6. Factor b(a).\nAnswer: -3*a**2*(a + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 221001 and 22902.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 10*d - 290, -3*h - 7863*d = -7860*d - 40 - 47 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*s, s = 4*c + 4*s - 5. Find the common denominator of (742\/(-28))\/(8 - c) and 89\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 8:34 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2936204072?\nAnswer: 2, 367025509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -188\/5. Which is the biggest value? (a) -5\/3 (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8279957?\nAnswer: 7, 61, 19391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*l - l, -2*a + l + 449 = 0. Calculate the remainder when a is divided by 72.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -721, -2896, -6523, -11602, -18133, -26116?\n\"Answer: -726*v**2 + 3*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*sqrt(304) + sqrt(2299) + 0.\nAnswer: 4 + 19*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 (base 10) in base 15?\nAnswer: -8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 137699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-14))\/((-30)\/(-42)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3397*z + 53983. Give i(-16).\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73253 by -577.\nAnswer: -73253\/577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 35 - 36 + 800*o in the form d + f*o and give f.\nAnswer: 800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 11:01 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 1:06 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 + 2413\/35. Which is the closest to -1? (a) r (b) -2\/5 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/v**0)\/v)**(2\/11)\/(v*v*v**(-2\/11))**22*(v**0*v*v**(-2\/3))\/(v**5*v**(-6)) assuming v is positive.\nAnswer: v**(-1270\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3687?\nAnswer: 3, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 12:01 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -1 (b) 2957 (c) 2 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) -1 (c) 1\/2 (d) -2 (e) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-11)*(-1)\/(-6)*-3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*((-1 - 27) + -2 + 1). Let n = k + -32. Let r(h) = h - 2 - 3 + 2. Give r(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.28 - -5973.\nAnswer: 5972.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/10 - 2)*10. Let j(w) = 2 + 2*w**3 - g*w**3 + 3*w**3 - 10*w - 9*w**2. Let i be j(10). Solve -i = y - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2, 1\/5, 84?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and 0.3.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 5*w - 85, -1811*w + 1808*w = 2*l - 29 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -129 in -0.3, -3, 3, -8.391, 2?\nAnswer: -8.391","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/705 + 4787\/889710. Find the common denominator of x and -43\/10.\nAnswer: 6310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 0*u**3 + 0*u**2 - 4 + 2*u + 1\/4*u**4. Find the first derivative of r(q) wrt q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26801227 or 26801232?\nAnswer: 26801232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -755 (base 15) to base 2\nAnswer: -11001110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31.8 - 44.4. Round x to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t**3 - 28*t**2 - 411*t - 65. Does 25 divide m(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1542 minus 1207514327?\nAnswer: -1207514327.1542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = i, 0 = -5*u - i + 1349 - 1365 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 7. Let g = w + 52. Solve 0*l + 5*l = 3*k - g, 2*k = -5*l - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.19 + 14. Let f = 1.51 - g. Sort 0, f, 2 in decreasing order.\nAnswer: 2, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*c = 2 + 3, 4*c + 4 = 0. Let q be -1*(n + -3 - 0). Suppose -4*p = g + 7 - 18, q = 2*p + 3*g - 13. Solve 13 = y - 2*u, p*u + 7 + 9 = 2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)*2)\/sqrt(3) - sqrt(84)\/(sqrt(768) + (sqrt(768) - (sqrt(768) - (sqrt(768) + sqrt(768)*-1 + sqrt(768)) - sqrt(768))) + sqrt(768)))**2.\nAnswer: 255367\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88564, -177120, -265676, -354232, -442788, -531344?\nAnswer: -619900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 19713*y - 19708*y - 10 = 0, 5*w = 46*y - 21 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6983861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-24) + (-24)\/18.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by 200?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2))\/(27\/(-54)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9, -29, -47, -57, -53?\n\"Answer: t**3 - 5*t**2 - 12*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - 87. Let d = u - -55.00168. Round d to 4 dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10111001001011110101 (base 2) to base 10\nAnswer: -758517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2993345389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -121*y + 3996. Let q be g(33). Solve 6*a - 2*a + 40 = 5*c, -a + q*c - 17 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 448 divide 260634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2 = -3. Let l = -99 - -49. Let v = 45 + l. Sort i, v, 2 in decreasing order.\nAnswer: 2, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o*p*q**4 + 9342*o*p*q**3 + 73*o*p*q - 218*p*q**2 + 6*q**4 + 2*q**2 wrt q.\nAnswer: -48*o*p*q + 56052*o*p + 144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 44. Let s = -23 - -33. Are x and s unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 37*l = 33*l - 120, 0 = -5*c - 5*l + 130. Is 28 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - v - 20 = 4*v, 5*i - 2 = -v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 3*l + 0*l)*(-6 + 6 + 4) - 2 - 3 + 4 - l + (3 - 4 + 0)*(0*l + l - 5*l) - 5*l + 6*l + 3*l.\nAnswer: 23*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10245*f + 9556*f + 42718 for f.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4*q + 69 = -5*k, 69 = 2*k + 5*q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.41 - 811876137133.\nAnswer: -811876137137.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -200 or -201?\nAnswer: -200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18755079 + 13025079. What is u rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1861 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**3 + 145*w**2 - 54*w + 1391. Let z be c(-73). Suppose 16\/9 - 34\/3*j**2 - 34\/9*j**3 + 86\/9*j**z + 52\/9*j - 2*j**5 = 0. What is j?\nAnswer: -1, -2\/9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 21*y = 20. Let z(n) = n**3 + 5*n**2 + 2*n - 3. Let p be z(y). Solve 0 = 2*g - s - 3 + 8, 3*s = g + p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vj when two letters picked without replacement from vxvxvvjxxx?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 79610.18 less than -3?\nAnswer: -79613.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23*x**3 - 6*x - 7729 wrt x?\nAnswer: -69*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 26 = -4*i, 3*i - 3*l + 8*l - 16 = 0. Let a(p) = 20*p - 17. Let m be a(i). Suppose -128*j = -m*j - 150. Is j at most as big as 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 469666?\nAnswer: 2348330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/8)\/w)**(-18\/7)*(w**(-2\/15)\/w*w)\/w**(-3\/4) assuming w is positive.\nAnswer: w**(737\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138573?\nAnswer: 3, 89, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 38 + 23597*n**2 + 18929*n**2.\nAnswer: 42526*n**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-260)\/(-32) - 3\/24. Solve 4*f + 4 = -b for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -5, 3, 2, -16, -35 in ascending order.\nAnswer: -35, -16, -5, -4, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 2:10 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggrgrrgrrgrgrgrrg. Give prob of sequence rg.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 4*o**2 - 26248*o + 42886788 = 0.\nAnswer: 3073, 3489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 9360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1353124 is divided by 676562.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/49, 0.5, 4, 3, -2, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -265.31 - -264. Let m = u + 1.81. What is the biggest value in -0.2, m, 3\/10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 423 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 35 = -j - 1, 2*j - 72 = -5*n. Let p = 40 - 24. Let s = 13 + p. What is the remainder when s is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 - i**2 - 3*i**2 + (-i**2 - i**2 + 3*i**2)*(502 + 808 - 2023)*(0 + 3 - 1) to l*i + s + v*i**2 and give v.\nAnswer: -1428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) - sqrt(2736)*1) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-116)\/(-87)*(-2)\/16?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-52) - (-2)\/13. Let w = 31 - 21. Let i = w - 12. Put -0.3, i, n in descending order.\nAnswer: n, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 125256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 69, -0.02, 4, 18\/13?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*g*k*r**2 - 62*g*k*r - 2*g*k + 2*g*r**2 - 3*g*r - 3*k*r**2 wrt r?\nAnswer: 64*g*k + 4*g - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 11*u - 11. Let b(l) = -2 + 6 + 0 + l - 5*l. Let h(k) = -8*b(k) - 3*p(k). Let m(d) = 5*d - 5. What is -3*h(s) - m(s)?\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9804923 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*u**3\/11 + 68*u**2\/11 - 432*u\/11 - 896\/11 = 0 for u.\nAnswer: -4, -2, 56\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.0786 (b) 3 (c) 4\/9 (d) 1\/11 (e) -6730\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 3. Suppose 2*o = -60 + 66, o = 2*j + 37. Let x = t - j. What is the remainder when 61 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -14)\/(-3) - (-1700)\/680?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-5 + 3) - 4 - 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, -99, 134, 583, 1320, 2417, 3946, 5979?\nAnswer: 8588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/131 or 76691?\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 12:29 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5541004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 163641, 327260, 490879, 654498?\nAnswer: 818117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1022323 (base 4) to base 8\nAnswer: 11273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.246 - -584.246. Let f = 594.901 - u. Let v = f + -11. What is v rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (40\/(-12))\/(6\/9). Which is the second biggest value? (a) -3\/2 (b) 2\/7 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.5, -1\/5, -0.5, 0 in increasing order.\nAnswer: -1, -0.5, -1\/5, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 164?\nAnswer: -49.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/(-40))\/(6\/(-8)). What is the nearest to k in -2\/19, -5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04248 - -30167586.\nAnswer: 30167585.95752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {r: 5, l: 8}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 441 and -2 - (-164*2\/(-12))\/((-8)\/12)?\nAnswer: 5733","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8799 - 97*r - 8799 to the form y*r + j and give y.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 2\/5, 2\/7, 6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 4:27 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122400 divided by -765.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -23. Suppose 0 = 2*a + h*a - i - 14, 8 = 3*a - 2*i. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 909?\nAnswer: 4\/909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*c - h - 104, -3*c = 2*h + 92. Let v = -30 - c. Let o be v - -222999 - (-11 - -10). Round o to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 4, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -209457025.000153 - -209456874. Let k = i + 151. Round k to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53242 - 0.105095\nAnswer: 53241.894905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 111*a**2\/4 - 465*a\/4 + 21.\nAnswer: 3*(a - 4)*(37*a - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (sqrt(17)*1 + 3)) + sqrt(85)\/sqrt(5) + -5 - ((-3*sqrt(170))\/sqrt(10) + -4))**2.\nAnswer: -32*sqrt(17) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 3*j**2 + 0*j**2)*(-2*j**2 + 12*j**2 - 8*j**2)*(-2 + 0 + 1).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 353\/464?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f**3 + 4479*f**2*s + 135*f*s + 9520234*s wrt f?\nAnswer: -6*f**2 + 8958*f*s + 135*s","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 406, 401, 394, 385?\n\"Answer: -h**2 - 2*h + 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-40)\/(-4))\/(-2) - 1) + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 882 = -73*l + 122*l for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ayaaayaaaaaayayaay. Give prob of picking 4 a.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*f = -37, -5*f = -2 - 23. What is the third derivative of r*h**2 + h**3 - 2*h**2 + 0*h**2 wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 12. Which is the nearest to j? (a) 1\/2 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 10 - 7) + 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*i = 865. Let o = i - -266. Suppose -w + 97 - 32 = 2*r, o = 3*r + 3*w. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6165 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 16. Let a = d - -9.0000032. What is a rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 10413, -5, -6 in decreasing order.\nAnswer: 10413, 2, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1637*n = -1640*n + 18 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-5)*(-50)\/20. Suppose -y*x + 15 = -5*r, 6 = r + 1. Suppose -x*f = 2*f + 5520. Round f to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + (15 + -6 + 3 - 6).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 31*a + 240. Let g be x(-13). Suppose -2*q = 2*s - 6, -2*q - 13 - g = -3*s. Is q not equal to -21\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + 1*(-2 + sqrt(1900)) + 4))**2.\nAnswer: -360*sqrt(19) + 17136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 + 45 = 3*z - 2*w, 5*z = 3*w + 342. Suppose y - 2*y + 115 = 5*v, 3*v - z = -2*y. Let u = 52 - v. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/782 and 58\/63687.\nAnswer: 2165358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*h = 4*i - 35, -11 = -i + 3*h. What is the remainder when 39 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -53*s**2. Let q(b) = 5*b**2 - 42. Determine q(w(r)).\nAnswer: 14045*r**4 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 154 - 133. What is the first derivative of -9 - 7*l**4 + l**4 - d*l**4 - 32*l**4 wrt l?\nAnswer: -236*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426*s + 3657 = -1293*s - 5713 - 6236 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4919*v + 4919*v + 2487*v**2 + 2818*v**2.\nAnswer: 5305*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**5 + 13*c**4\/2 - 5*c**3\/4 - 35*c**2\/4 - 3*c\/4 + 9\/4 = 0. What is c?\nAnswer: -3, -1, -3\/4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**7\/14 - 38*f**6\/5 - 333*f**5\/10 - 55*f**4 - 73*f**3\/2 + 7*f + 31. Solve w(r) = 0.\nAnswer: -73, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 2. Suppose 4*s = 6*s - 8, 5*k + 3 = m*s. Let h(l) be the second derivative of -7*l**4\/12 - l**3\/6 + l**2\/2 + 2*l + 3. Give h(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - n**2 + 2*n + 25. Let x be i(0). Suppose -3*k = 2*k - x. Let w(g) = 2 - 8*g + k + g**2 - 3 + 6. Determine w(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 5. Let k be (-18)\/(-15)*1\/x. What is the nearest to k in -0.1, -1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 2*k + 3*k - 104, 5*w = -2*k + 127. Let p = w + 47. Let o = 39 + 1. What is the remainder when p is divided by o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrdrrrrrrrrrrdrrr. What is prob of picking 1 d and 3 r?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -453 rounded to the nearest 10?\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 5*h - 3 = -2*h, 2*d = 5*h + 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*i + 357*i - 25 = -5*f + 179*i, 0 = -2*f - i + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a - 28*a + 1515 = 0. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.9 + 4. Let w = 1 + -2. Suppose 5 - 25 = 5*m - 5*r, 9*m = -5*r - 22. Which is the closest to m? (a) j (b) w (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1812182611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 218303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -12*f. Let x(v) = -5*v + 6. Let r(c) = 11*c - 13. Let n(u) = 6*r(u) + 13*x(u). Determine n(l(w)).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 2:12 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48*j**2 + 181*j**2 + 82*j**6 + 51*j**2 + 153*j**6 wrt j.\nAnswer: 28200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*q + 5, -5*h + 0*h + 5 = -4*q. Let b(r) = -r - 1. What is b(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5422 - 17.2?\nAnswer: -5439.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/(-5) - -7 - -5. Suppose -4*n = -o + 10, 5*n = 5*o - 11 - b. Factor 4\/7 - 2\/7*c**o + 2\/7*c.\nAnswer: -2*(c - 2)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*j**3 - 26*j**3 + j + 1 + 101*j**3 as u*j**3 + x + y*j + l*j**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44 - 25) + (-4 + 1 - 7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 421 a factor of 121405454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4526073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -1655*d + 26. Is u(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36676119?\nAnswer: 3, 43, 284311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-0.143825069.\nAnswer: 0.0287650138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44840 and 430?\nAnswer: 1928120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 237763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 651, 673, 695, 717, 739, 761?\n\"Answer: 22*s + 629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, w: 2, p: 4, q: 2}. Give prob of picking 2 q.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4 + 7*w**3 - 3*w**2.\nAnswer: -w**2*(w - 3)*(2*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1 - j**3 - j**2 + 95*j - 49*j + 2*j**2 - 47*j. Let s = -4 + 6. Let h(m) = s*m**2 - 2*m + 4*m - 3*m**2 + 1. Give h(d) + w(d).\nAnswer: -d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 4 - (sqrt(637) - (sqrt(637) + 5)))**2.\nAnswer: 54*sqrt(13) + 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 17*t + 30 = 22*t, x = t - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g. Let u(a) = 13*a - 52. Let f(j) = -17*j + 50. Let h(c) = 4*f(c) + 5*u(c). Calculate p(h(l)).\nAnswer: 6*l + 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -5\/3*z**3 + 7*z - 1\/6*z**4 - 6*z**2 + 0. Suppose b(v) = 0. What is v?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69904 and 122332.\nAnswer: 489328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/10)\/(1\/5). Let k(c) = -12*c**2 - 7*c - 6. Let o(y) = 2*y**2 + 4*y. Let v(d) = -k(d) - 3*o(d). What are the prime factors of v(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = b - b. Is b < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 1, -334 in decreasing order.\nAnswer: 2, 1, -4, -334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i*i**(-1))))\/i)**(-10\/11)\/(i\/i**(-1))**(-3\/34)*(i**(1\/4))**(-2\/17)\/(i**(1\/5)*i**(-2\/5)) assuming i is positive.\nAnswer: i**(2349\/1870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 71*g**2 + 67*g**2 - 277*g**2 + 65*g**2 + 75*g**2. Let x(b) = 1477*b. Give x(f(z)).\nAnswer: 1477*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 502, 1260, 2522, 4288, 6558, 9332, 12610?\nAnswer: 16392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 359*f*n*q**2 - 40785*f*n + 39*f*q**2 wrt q.\nAnswer: 718*f*n*q + 78*f*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1524)\/(-270))\/2 + 14\/(-63). Are c and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 14 = 5*i, -4*w - 2*i + 11 = 1. Let z(n) = -47*n**2 + 2*n + 1. Let h(q) = 95*q**2 - 5*q - 3. Let r(y) = -2*h(y) - 5*z(y). Is r(w) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -219 + 235. Let y = f - 15. Let d = 1 + -2. Put d, -5, 5, y in descending order.\nAnswer: 5, y, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*j + 7*j + 98*j)*(0*j + 0*j + j**2) + 91*j**3 - 81 + 81.\nAnswer: 217*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*z = 6*q - 9, 15 = 5*q - 3*z. Solve -3 - 6 = -q*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 6. Suppose 0*s - 36 = -2*s. Calculate the remainder when s is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.00599218+-0.3\nAnswer: -0.29400782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6955625213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1068048843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50178289?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -47*a + 22 - 19*a + 59*a. What is v(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109336, 219407, 329478, 439549, 549620?\nAnswer: 659691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**3\/15 + o**2\/2 + 10. Find t such that v(t) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v*v**(2\/11)*v**(1\/11)\/v*v*v*v*v*v**(-2)\/v*v*v**(-3) assuming v is positive.\nAnswer: v**(14\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53.24 - 0.6.\nAnswer: -53.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 4:42 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 274 = 582. Calculate the remainder when c is divided by ((-168)\/(-7))\/(10\/15).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 62.78345 kilograms in micrograms?\nAnswer: 62783450000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 + -57. Suppose i = -2*t - 112 - 108. Let c = t + 109. Put -15, -5, c in ascending order.\nAnswer: -15, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11015 + -8.4.\nAnswer: -11023.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 + -48.999952. What is u rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*x - 0*v - 1462, 0 = x + 2*v - 363. Calculate the remainder when x is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 32. Let v be 2 - 2*-1*b\/6. Suppose 0 = -3*h - 5*p + 4*p + 84, 5*h = -p + 138. What is the highest common divisor of h and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s*s*s\/(s\/(s*s**30)))\/s)\/s)\/(s\/s**(1\/13)))\/((s\/(s*s**(-17\/2)))\/(s*s*(s*s*((s*s*s\/(s\/s**(1\/4))*s*s)\/s)\/s*s)\/s)) assuming s is positive.\nAnswer: s**(1499\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162 = 131192*o - 131183*o for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(4 + 5\/(-2)). Let i be (-1)\/(-2) + (-45)\/(-40)*-4. Is t - (i + (-873)\/3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 979 = 2*t + 2*v, 981 = 2*t - 3*v. Suppose r + 3*l - 5*l + 1 = 0, 2*r = 3*l. Suppose -3*j + t = r*j. List the prime factors of j.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -2106626?\nAnswer: 2106624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 79 + 110d?\nAnswer: 1188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**5\/20 - 3*p**4\/2 + p**3\/3 - 27*p**2\/2 - p - 25. What is the lowest common multiple of 43 and x(18)?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 5, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19035747*s*y**2 + 164*s*y + 3*s + 2*y + 2687 wrt y?\nAnswer: 38071494*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**5\/150 - m**4\/6 + 2*m - 10. Suppose s(w) = 0. Calculate w.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -280*f - 3084. Determine u(-12).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 299.979 - 300. Let o = 0.079 - r. Let u = 17 + -12. Which is the closest to -2\/7? (a) u (b) 6 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 52040.52 centuries?\nAnswer: 5204.052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 72772619, 72772631, 72772643, 72772655, 72772667?\n\"Answer: 12*c + 72772607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3900 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 1.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*n = -5*m - 8, -14 = -5*m + n. Suppose 0*j + m*j - 140 = 0. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 7 = -3*q, -5*q + 2*x = 5*x - 1. Let d(u) = -6*u**3. Determine d(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/312 and 59\/130.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -14. Let d = 79 + -79. Let v(t) = -5*t + 8*t + d*t + 6. Give v(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + (sqrt(90) - (sqrt(90) + (sqrt(90)*-1 + sqrt(90))*2 + sqrt(90)))\/sqrt(2)*3)**2.\nAnswer: -36*sqrt(5) + 409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*s + 166*s**3 + 491*s - 78*s.\nAnswer: 166*s**3 + 608*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00633826 to 4 decimal places.\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**2 + 416045304*a = 0?\nAnswer: -104011326, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = 251*w - 258*w. Let t(q) = -q**2 + 37*q + 33. Let x be t(w). Sort 4, x, 0.4, 3\/2 in increasing order.\nAnswer: x, 0.4, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -4. Let t = -1 + s. Let r(v) = 4*v - 1. Let l(w) = -3*w + 1. Give t*l(n) - 2*r(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -2*m + 55, 1227*m - 65 = 1223*m - 3*p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjgk when four letters picked without replacement from {u: 4, j: 1, z: 7, k: 2, g: 1}.\nAnswer: 1\/2340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 4*d - 2, 641*a - 646*a = -4*d + 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(7\/6)*w**10)\/(w**(-6\/11)\/w**(-9)) assuming w is positive.\nAnswer: w**(179\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 5*u + 25, -102*b = 4*u - 97*b - 52 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 2:41 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1551191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102*r - 57*r + 71*r**3 + 125*r wrt r?\nAnswer: 426*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(sqrt(168)\/sqrt(6))*-2)**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a week in seconds?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p + 23. Let w be f(6). Sort w, 3, 6 in ascending order.\nAnswer: w, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 - 3921*t**2 + 3921*t**2.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 16. Let q = z + 35\/3. Is 0 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1643 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 4*p**2 + 5*p. Give u(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -389423*r**3 + 101*r**2 + 52796*r + 1368 wrt r.\nAnswer: -2336538*r + 202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200130 + 1021301?\nAnswer: 221111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 27 = 3*p. Suppose -5*h = -2*c - 76, 0 = h - 4*c + 2 - 10. What is the remainder when h is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -30 + 27 + 6*w - 3*w + 6*w**2. Let o(a) = -17*a**2 - 8*a + 8. Determine 4*o(d) + 11*y(d).\nAnswer: -2*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 6:31 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.78*47.3.\nAnswer: -557.194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -43, -5\/4, 1, -0.01?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + 2. Suppose 3*z - 8 = -z. Suppose -r - 57 = -4*l + z*l, -5*r - 130 = -5*l. What is the remainder when l is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 911758306 to the nearest integer?\nAnswer: 30195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12321404032 (base 5) in base 8?\nAnswer: -71250642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (807 - 807 - 428*b)*(-2 + 3 - 3)*(-26 - 2 + 53)*(-b + b - b)*(-2 - 5 + 5).\nAnswer: 42800*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from {r: 5, w: 2, e: 3, k: 7, n: 1}?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2076.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 30*q**2 + 2*q + 4. Suppose 2*b - 14 = -3*z + 3*b, 2*b + 10 = 0. Is u(z) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d + 5*d - 2*d)*(3 - 3 + 1 + (2 + 1 - 4)*(1 - 1 + 1) + 5 + 2 - 8)*(1 + 8 - 4)*(1 - 5 + 3) as o*d + i and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111 + 0?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -42528, -161902, -360852, -639372, -997456, -1435098, -1952292, -2549032?\n\"Answer: y**3 - 39794*y**2 + y - 2736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -110 + 306. Suppose -3*g + b = -83. Let c = g - 56. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*g = 2*f - 80, -126 = -5*f + 4*g. Suppose -5*d = 25, -j - 2*d - f = 3*d. Let k(u) = 0*u**2 - u - 3*u**2 + u**j + 2*u**2 + 3. What is k(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10019\/7 - 1431. What is the closest to 2\/11 in 0.06, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 14, -24, -68, -112, -150, -176, -184?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**7\/315 - h**6\/90 - 5*h**2\/2 - 6*h. Let m(j) be the first derivative of f(j). Factor m(s).\nAnswer: 2*s**3*(s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + j)*(-1869 + 651 - 810)*(-5*j + j + j).\nAnswer: 6084*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 297.58 - 20.88. What is x rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - 8. Suppose 2 = -5*w - 23, -4*w = 3*d + 5. What is the remainder when (19\/(-2))\/(d + 51\/(-10)) is divided by t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.06 and 0.0432?\nAnswer: 0.0168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 434 - -2?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 47 = -5*t, -t + 13 = 2*t - 5*c. Suppose -10*w = -t*w - 6. Which is greater: w or -8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*((-10)\/(-6) + -2). Let y = 1.8 - 2. Let q = 0.6 - 4.6. Put q, y, j in decreasing order.\nAnswer: j, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 - (-3 - 60411\/2028))*3\/(-11).\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from lllllzzllz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g + 1 - 4 - 42*g - 33*g - g**2 to the form x + u*g**2 + y*g and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 21332 = 5*w + 21314, 0 = -95*t - 2*w - 186 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 6*u - 10. Let j be n(-7). Does 13 divide 72\/((-9)\/(-3)) + j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*(-3)\/((-3)\/(-1)). Suppose -y + 3*t - 2 = 0, -2*y + 7 = 3*t + 2*t. Suppose -n - y = 2*z + 1, 3*n + 5 = -a*z. Solve 3*x = -n*x + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 186 = -4*x + 2*x, -5*s = -4*x + 370. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5301 - 5296. Solve -2*j = i + 6, -q*j - 15 = -7*i + 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2376408 to the nearest integer?\nAnswer: 1542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - c**2 - c**2 - 1918*c - c**3 - 3*c**3 + 1921*c to the form a*c**2 + m*c + j*c**3 + g and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.51710656 rounded to 3 decimal places?\nAnswer: -5.517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3813, 3812, 3811?\n\"Answer: -x + 3814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 18*q + 75. Let m be o(-13). Let u be 2\/m - 228\/(-60). Solve -4*c + 5*v - u*v = 11, 23 = -4*c + 5*v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/5 - 2\/(-5). Let x(u) = -u**3 + 6*u**2 + 5. Let f be x(6). Suppose 3*y = f*y - 4. Which is the closest to v? (a) 5 (b) -5\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.33578691 to 3 dps.\nAnswer: 0.336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -648*q + 1725 = -533*q for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4505362*r*z**4 + 32*r*z**2 + 1218*r*z - 2*z**2 - 3 wrt z?\nAnswer: -108128688*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-48 - -22) + 25)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyhr when four letters picked without replacement from {h: 2, u: 3, y: 11, r: 3}?\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**3 - d**3 - 4*d**3)*(2*d**2 - 1 + 1 + (-3*d + 5*d - 4*d)*(-1 + 1 - d) - 2*d**2 + 4*d**2 + 2*d**2).\nAnswer: -8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112182*-0.85.\nAnswer: -95354.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 8*f**2 + 3. Let k be r(-8). Calculate the remainder when 95\/2 - 4\/8 is divided by 14 - k\/6*4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m**3 - 3*m**2 - 5*m. Let t(i) = -11*i**3 - 11*i**2 - 11*i. Let k(b) = -7*b**3 - 7*b**2 - 7*b. Let r(x) = 8*k(x) - 5*t(x). What is -g(y) + 5*r(y)?\nAnswer: 2*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -20*x**4 - 2*x**3 + 2*x**2 - 28*x - 2. Let k(g) = g**3 - g**2 - g + 1. Let i(n) = 2*k(n) + s(n). Find the second derivative of i(b) wrt b.\nAnswer: -240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -210988 and -11?\nAnswer: 2320868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 126*r + 77*r + 9012 + 26*r - 512*r - 4*r**2 with respect to r.\nAnswer: -8*r - 283","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 - ((-134)\/(-20) + 112\/(-16) + 8). Suppose -1\/10*y**2 + u*y + 0 = 0. What is y?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-64)\/336)\/4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 5\/2*u**4 - 5\/2*u**2 - 11*u + 1\/2*u**5 + 5\/6*u**3 - 5\/6*u**6 - 5\/14*u**7 + 0. Determine c so that k(c) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 4*t - t)*(2*t**3 + 2*t**2 - 2*t**2) + 4*t**4 - 5*t**4 + 4*t**4 + 0*t**4 + 1310 - 2*t**4 - 1832 + t**3.\nAnswer: 3*t**4 + t**3 - 522","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.097 - -0.197. Let l be (66\/34 + -2)*-2. Sort x, l, -0.1 in decreasing order.\nAnswer: l, x, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10011001010010001 (base 2) to base 5\nAnswer: 10002411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3203201313 (base 5) in base 7?\nAnswer: 110616625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -42. Which is the nearest to 0.2? (a) -2\/5 (b) -0.5 (c) f (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnndoloononoonno. What is prob of sequence lod?\nAnswer: 1\/480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 3*s + 6. Let b(n) = 3*n**3 - 2*n**2 - 5*n + 14. Let u(x) = 2*b(x) - 5*i(x). Solve u(j) = 0 for j.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 3*x + x)*(8 + 6 - 7) + (1 + 0 - 3)*(-4*x - x + 6*x).\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 18*l**2 - l. Let t = 1 - 1. Suppose -2*h - h - 3 = t. What are the prime factors of f(h)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 + 179. Suppose 4*i + 3*g - 122 = g, -2*g - w = -4*i. Is 20 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -173 at least -173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 4*t**2 - 5*t + 6. Let z(g) = -17*g - 63. Let n be z(-31). Let b = -461 + n. What is u(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/2 (b) 0.0933 (c) -28\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t**2 + 4*t**2 + 0*t**2)*(-17 - 28 + 61 - 16 + 6237*t) as z*t + j*t**3 + p + i*t**2 and give j.\nAnswer: 18711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.076*0.5.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 297962957 to the power of 1\/2, to the nearest integer?\nAnswer: 17262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-13)\/i*i*i*i\/(i*i\/i**(-2))*(i\/(i\/i**23))**(43\/4))**33 assuming i is positive.\nAnswer: i**(30657\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4456418 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229505 is divided by 114744.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37 + 90 - 45)*(4 - 2*l - 2*l**2 + 0 - 2) to the form m*l**2 + v*l + z and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 614 smaller than 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 6. Suppose 5*p = 4*q - 1 - 3, 16 = 4*q - 2*p. Calculate the smallest common multiple of x(12) and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 4:57 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2709 by 903.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 12 (b) 17221 (c) 0.2 (d) -1 (e) 1\/8 (f) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2749, -4, 9, 1, -2 in descending order.\nAnswer: 9, 1, -2, -4, -2749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108064 and 156552.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2746*a + 1355*a + 1394*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.574 millilitres to litres.\nAnswer: 0.040574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0781 - -0.0781002097. What is u rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 at least 2545\/314?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -279414, -558742, -838070, -1117398, -1396726?\n\"Answer: -279328*l - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47512, 95024, 142538, 190054, 237572?\nAnswer: 285092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204889 = -91*u + 202796 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 9*t + 23. Let y(j) = 6*j + 22. Let x be y(-4). Let n be s(x). Solve -3 = 3*m - 2*r, 0 = -0*m + 5*m - n*r + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2689 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkhjhhhghgkkkhjl. What is prob of sequence kg?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 40625*u**4\/12 - 12*u. Suppose 0 = 3*p - 18 + 6. Let i be t(p). What is i rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 135 and 45.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -2*q + 8*l, -2*q + 7 = 18*l - 20*l - 9 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-4 + 78\/18).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -279375, -279364, -279357, -279354, -279355, -279360, -279369?\nAnswer: -279382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18 and 234919.\nAnswer: 234901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.267? (a) -9 (b) -1 (c) -4 (d) 0.3 (e) 4\/7 (f) 2\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 2*w + 2. Let c be 2\/(-2) + (-1 - -11). Is o(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 3*u**2 + 2*u**2)*(-2*u**2 - 4*u**2 + u**2) - 16*u**4 + 11*u**4 - 32*u**4.\nAnswer: -42*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 12988200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 736.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114574 by 114574.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/84)\/(2\/(-3)))\/(-2)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12934 + 25394. Round t to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43\/((-29412)\/(-33212)) + -47\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 3*f - 3 = -6, -f + 1 = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 27 = -4*j, -9844*j - 21 = -p - 9851*j for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 73 + (-15 + (14 - -8) + -15 - 6)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 17*x**2 + 32*x + 25. Let z(n) = -7*n**2 - 16*n - 13. Let q(d) = 2*m(d) + 5*z(d). Factor q(g).\nAnswer: -(g + 1)*(g + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h + 19. Let o be g(-3). Solve 0 = -3*l + 3, -4*f = -l - 3 + o for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 46, 81, 106, 121, 126?\n\"Answer: -5*k**2 + 50*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011100111010000 - -100000?\nAnswer: 1011100111110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*p = 2*b + 733, 3*b - 3*p = -570. Let f = 742 + b. Suppose -20*x = -25*x + f. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 12:30 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2. Let f(r) = 1. Let t(u) = -2. Let s(y) = 2*y - 22. Let k(c) = s(c) - 3*t(c). Let h(q) = 5*f(q) + k(q). Determine h(d(p)).\nAnswer: -4*p**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 12:37 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -7*p**2 + 2*p + 3. Let z(x) = -13*x**2 + 3*x + 6. Let c(q) = 11*f(q) - 6*z(q). Calculate c(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132, 527, 1186, 2109?\nAnswer: 3296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000055997 to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(540)*2)\/(sqrt(33)\/(sqrt(88)\/sqrt(8))).\nAnswer: -72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-1)\/f*f)*f*f\/f**(4\/3))**17*(f\/(f\/f**(7\/2)*f*f)*(f*f\/f**(-1\/6))\/f)**(-1\/38) assuming f is positive.\nAnswer: f**(860\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -313 or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 7:08 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6008, 5975, 5940, 5903, 5864, 5823, 5780?\nAnswer: 5735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 28. Suppose 8*a + 3*n - 81 = 3*a, -13 = -a + n. Calculate the remainder when ((-147)\/6)\/((-2)\/4) is divided by r(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 46\/8 - 2\/(-8). Let x be ((-8)\/v)\/((-78)\/9). What is the biggest value in 3, -2\/7, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)*2*4)\/sqrt(5) - 2*sqrt(50)\/(1*sqrt(10)).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c (base 13) in base 3?\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 2*y**2 + y - 97. Let a be n(0). Let l be ((-16)\/(-10) - 2) + a\/(-30). What is s in 2\/3 + 2*s - 1\/6*s**2 - l*s**3 + 5\/6*s**5 - 1\/2*s**4 = 0?\nAnswer: -1, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + 13\/(-3))*(-3105)\/25?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 20*v = 4*w, 5*v - 24 = 3*w. Let x(o) be the first derivative of 6 - 1\/3*o**v - 3\/2*o**2 - 2*o. Solve x(u) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(153) + 0)**2.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhf when three letters picked without replacement from {n: 4, h: 1, c: 3, f: 5}?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-2)\/8)\/1)\/(28\/(-2128)). Solve -q*l = 44*l + 315 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -68*k + 633. Give o(9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yf when two letters picked without replacement from yfqyqylqyyiyiylllyy?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/168 + ((-2)\/8)\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 3*f**2 + 12*f - 524. Calculate t(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 bigger than -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 16*c. Let a(v) = -109*v**2. Calculate a(x(k)).\nAnswer: -27904*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = 2*j. Differentiate 4 + j*s - 2*s + 5 with respect to s.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12630)\/(-233655))\/((-4)\/6586)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 427.2 + -427. What is the closest to 37 in i, 0.3, -1\/5, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31788580 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 777, 2591, 6117, 11925, 20585?\nAnswer: 32667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxex when four letters picked without replacement from xxeexe.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i = 17*i + 5. Suppose -r - i*a + 402 = 0, -a = 3*r + a - 1180. Is 28 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in -0.5, 2656, -1, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 + 4*b**2 + 4*b**2 + (2*b + 0*b - 4*b)*(8 + 5 - 4)*(-b - 4*b - 3*b) + (1 + 0 - 2)*(2*b**2 + 3*b**2 - 4*b**2) - 2*b**2 + 0*b + 0*b.\nAnswer: 148*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14659*p**2 + 14648*p**2 - 45211*p**2 + 14980*p**2.\nAnswer: -924*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*k - 87*k - 5440. Let j(q) = q**3 + 5*q**2 - 5*q + 9. Let n be j(-8). Let v = k - n. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1900) + 0 + 0 + -2)*-1.\nAnswer: -10*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d + 2. Suppose 4*k - 3*k - 4 = 0. Let m(o) = k*o - o + 3 + o**2 + 0*o - o + o**3. Give m(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -849 plus 21140?\nAnswer: 20291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -16*c**2. Let g(n) = -117*n + 36. Let l(u) = -120*u + 30. Let f(d) = -5*g(d) + 6*l(d). Give i(f(v)).\nAnswer: -291600*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -17*j + 2. Let h(z) be the first derivative of 0*z**2 + 0*z + 233 - 2\/3*z**3. Calculate h(l(a)).\nAnswer: -578*a**2 + 136*a - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n**3 + 24 - 2*n**3 + n - 19*n**3 + 2*n**5 + 31*n - 19*n**2 - 6*n**4 + n**2 = 0. Calculate n.\nAnswer: -2, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 - -6.181?\nAnswer: 6.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1589989 is divided by 106.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k - 105808*k**3 + 211620*k**3 + 1097 - 105809*k**3 - 21*k**4 - 3*k**2 + 2*k wrt k.\nAnswer: -252*k**2 + 18*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34412 (base 7) to base 9.\nAnswer: 13035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*o - 42*o - 37*o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -801 + 3024. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1909 - 1693. What is the greatest common divisor of v and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1579646 to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6*v + 4*v - 16 = 0, 0 = -k - 5*v - 14. Let i(j) = j**3 + 14 + 8*j + 2*j + j + 6*j**2. Let s be i(k). Solve 2 + 6 = -s*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 194 - 1401*i - 68 - 126 to the form d*i + n and give d.\nAnswer: -1401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((150\/9)\/5)\/(20\/1170)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/480 - 0)\/(3\/9)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y. Suppose 6*s + 40 = -5*h + s, 4 = -4*h + 3*s. Let k be (h\/6)\/((-4)\/30). Suppose k*t = -4*o + 8, 5*o = t + 2*t + 10. Determine p(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -1 (c) -1232 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/97958 and -77\/236.\nAnswer: 11559044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -86*k + 83*k. Let a(q) = 28*q**2 + 0*q**k + 32*q**2. Let y(c) = -2*c**2. Determine y(a(t)).\nAnswer: -7200*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13853 + 13862 + 4*u - 27715.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-944)\/(-236)*(-1)\/20?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - -31?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 238*y**2. Let j(n) = -22*n**2. Give j(l(m)).\nAnswer: -1246168*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1576030 rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 4*t + 31*t**2 + 28*t**2 + 27*t**2 - 84*t**2 to the form i*t + a + r*t**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 656, 1127, 1598, 2069, 2540, 3011?\n\"Answer: 471*y + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 50*f - 41. Suppose d - 3*d = 2, 0 = -3*r - 4*d + 11. Is p(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 31. Calculate the remainder when (34 + -240)\/(1 - (-15)\/(-5)) is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 960 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**3\/2 + 9*n**2\/2 - 12*n. Give q(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + r + r)*(1 + 1 - 4) + 11*r - 4*r - 3*r + (14 - 6 + 13)*(5*r - 4*r - 2*r).\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(3\/(-4))\/(-1). Let -32 + 12*j**b - j**2 + 0*j**2 - 7*j**2 + 4*j**4 - 48*j = 0. What is j?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8084.53 millilitres to litres.\nAnswer: 8.08453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.274686 (b) -3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, 205 in descending order.\nAnswer: 205, 7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -10*i**2 - 2*i - 28. Let f(d) = -9*d**2 - 3*d - 25. Let q = -223 - -227. Let r(g) = q*f(g) - 5*s(g). Find the first derivative of r(o) wrt o.\nAnswer: 28*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6448307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20571252 is divided by 112.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b + 1 - 4 + 1. Let p be u(2). What is the tens digit of (-4 + p)*22\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011111 + 1101?\nAnswer: 11101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -88 + 89. Let t = 0.03 - -0.37. Let h = 6 - 2. Which is the nearest to y? (a) h (b) 0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 471714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 - 1)*(-1 + 0 - 3) - 3 + 0 + 0)*(26*y + 280*y**4 - 24*y + 6*y**3 - 310*y**4)*(-4*y + 4*y - 2*y).\nAnswer: -420*y**5 + 84*y**4 + 28*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**3 + 20*a**2 + 2*a + 2. Let m(k) = 3*k**3 - 39*k**2 - 5*k - 5. Determine 5*j(x) + 2*m(x).\nAnswer: -4*x**3 + 22*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -270480 divided by -280.\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 + 0*x**2 + 0*x**2)*(35*x + 372 - 34*x + 553).\nAnswer: x**4 + 925*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/775599 and -43\/2256288?\nAnswer: 24819168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(2*sqrt(3)) + (sqrt(99) - sqrt(11))*-4.\nAnswer: -15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/3)*x*x**0\/x*x*x)**(-23\/4)*(x**3*x\/(x**8*x*x))**(-6\/11) assuming x is positive.\nAnswer: x**(-1339\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -824576 + 2?\nAnswer: -824574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463183835.\nAnswer: 5, 92636767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c - 6*c + 2*c)*(10 - 7 + 6)*(38*c**2 - 2 + 2) to q*c**2 + y*c**3 + h + g*c and give y.\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7895 and 20.\nAnswer: 31580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -384133, -3073822, -10374621, -24592084, -48031765, -82999218?\n\"Answer: -384259*n**3 - n**2 + 127*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 83 = c + y, c - 5*y = -14. Let m = -33 - c. Let i be (-87 - -90)\/((-3)\/(-4)). Solve -m*d + 6 = -i*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57*p**3*q**3 + 27*p**3 + 69*p**2*q**4 - 106*p*q**2 + q**4 wrt q.\nAnswer: -342*p**3 + 1656*p**2*q + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 k when two letters picked without replacement from ggggkggkggkkgggk?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6.8 (b) 8 (c) 27 (d) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 28782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 8, 229 in decreasing order.\nAnswer: 229, 8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**2 - 2344*b + 343396 = 0. What is b?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/16 and (-3)\/1 - 162\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3932821 to the power of 1\/2, to the nearest integer?\nAnswer: 1983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39 and (-3 + 70)*(-1)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 15 = -0*p. Let x = 115 - 55. Calculate the highest common divisor of x and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5105 + -3?\nAnswer: -5111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*h - 101104 = -1053*h + 213*h for h.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/22 and -101\/96.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 107384821 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2079 times 1.9\nAnswer: -3950.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u + 1. Let y = 17 + -18. Let f be p(y). Suppose -500 = -9*d + f*d. Is d a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 17, 2081.\nAnswer: -26, 17, 2081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**5 - 55*m**4 + 240*m**3 + 11*m**2 - 242*m. Let v(o) = o**4 + 3*o**2. Let f(d) = 22*v(d) + 2*w(d). Suppose f(j) = 0. Calculate j.\nAnswer: -1, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 21*r**2 + r + 18 - 6*r**2 - 11*r**2 in the form f*r**2 + p + k*r and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f**2 + 2 - 2)*(3*f**2 + 2 - 2) + 312*f**3 - 156*f**3 - 154*f**3 + 26*f**4 + 5*f to the form i*f + n + t*f**2 + l*f**4 + x*f**3 and give l.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010955183 to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2276, 2255, 2220, 2171, 2108?\n\"Answer: -7*l**2 + 2283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*k - 103506. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 89365*f**2 - 35*f + 105. Let i(r) = 7447*r**2 - 3*r + 9. Calculate 35*i(b) - 3*l(b).\nAnswer: -7450*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**2. Let n(t) be the first derivative of 154 - 389 + 7*t**2 + 123. Determine p(n(f)).\nAnswer: 588*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooonoooonooo. What is prob of sequence onoo?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q + 5*q - 3*q + (-7*q - q + 7*q)*(-2 - 1 + 2) to the form o + i*q and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11025 and 1800?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -13123 divided by -9\nAnswer: 13123\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 2*d**3\/3 - 53*d**2\/2 - 23*d + 11. Let n be z(27). Solve n = -5*w - 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5476?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + 4*k - 7, -i - 2*k + 4*k = 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 5*n + l, 5*l - 7 + 14 = 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 34*o**2 - 27*o + 180. Give j(-33).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 1106.\nAnswer: -9\/1106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*x = 8, -5*x = -3*z - 1 - 19. Solve z*l + 8 = 2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 2\/5*v**2 + 48 + 16\/15*v + 2\/45*v**3. Factor u(o).\nAnswer: 2*(o + 2)*(o + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.20792 + 0.20783233. What is b rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 186.9?\nAnswer: 186.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -7643?\nAnswer: -22929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -8. Let p be ((-12712)\/(-7))\/((-2)\/q). Let w = 10981\/6 + p. What is the common denominator of 43\/20 and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -14*d**3 - 7*d**2 + 6*d + 5. Let i(f) = 14*f**3 + 6*f**2 - 5*f - 4. What is -7*i(h) - 6*u(h)?\nAnswer: -14*h**3 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/(-44))\/(1\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/32)\/((-1720)\/13760))\/((-22)\/4).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6724 and 3772?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 848 and 4717?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4, 44, 156, 344, 620, 996?\n\"Answer: 2*c**3 + 20*c**2 - 26*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*n + 3*n + 2*n)*(6 - 6 - 8*n)*(17*n**2 + 4*n**2 + 21*n**2 + 12*n**2) to the form t*n**3 + z + v*n**2 + c*n**4 + d*n and give c.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p + 69. Calculate the least common multiple of d(-7) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d**22*d*d)\/(d\/(d\/d**(2\/15))))\/(d**(1\/3))**31 assuming d is positive.\nAnswer: d**(248\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4535164349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 10.8. Let g = t - -4.4. Let q = g - 3. Round q to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7241 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/41)\/w)**(2\/109)*(w*w\/w**3)**(-6\/7))**7 assuming w is positive.\nAnswer: w**(26268\/4469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 15. Suppose 8*p - 4*p + 4 = h. List the prime factors of p\/4 + 125\/4.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 466484 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - -1) + -4 - -4. Suppose 4*y - 13 = -a. Suppose -2*p + 56 = -y. List the prime factors of p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*o - 758, -496 = -541*o + 539*o - h. Calculate the least common multiple of o and 110.\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + -3)*6\/(-4). What is the second derivative of 0 - q*b - 5*b**5 - 3 + 3 wrt b?\nAnswer: -100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2306461679 to the power of 1\/3, to the nearest integer?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.19563 - 33.\nAnswer: -23.80437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*z**4 + 9*z**2 - 9*z**2 + (-516*z + 1037*z - 486*z)*(1 - 1 + z**3).\nAnswer: 42*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 715859115851\nAnswer: 715859115851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*(sqrt(96)\/(sqrt(16)\/sqrt(2)))\/(sqrt(144)\/sqrt(9)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77*r**5 + 1935*r**4 - 82*r - 1935*r**4 wrt r.\nAnswer: -1540*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 4*n + 2*x - 18 = 0, -5*n = 2*x - 22 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbbwwwbs. What is prob of sequence ww?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -204 - -415. Let b = 424 - a. What are the prime factors of b?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/8 and ((-73)\/2)\/(4 + -1 + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-248778 - -1) - 15\/5. Let t = 356476 + f. Let d = 191295 - t. What is d rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14537488?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/8)\/w*w**19*(w*w**(-1\/8)*w)**(-1) assuming w is positive.\nAnswer: w**(63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56 - 3346?\nAnswer: -3260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1533*c + 406*c + 5*c**3 + 321*c + 407*c + 399*c.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 158847956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 2*m + 72, 4*o + m = -892 + 822 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffu when three letters picked without replacement from {r: 1, c: 1, f: 1, u: 1, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -159.3665344183 + 1.3665329583. Let w = -253 - -411. Let l = w + i. Round l to seven decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r - 19 - r + 17 - 63 to n*r + l and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 6 = 3*x. Let t be (13\/((-13)\/42))\/x. Suppose 162 = 5*b + t. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - 0.2. Let r = 3.51 + -3.51. Put r, f, 1\/12 in descending order.\nAnswer: 1\/12, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b2c4 (base 13) to base 9.\nAnswer: 81010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 20 = -2*r. Let m(x) = 0*x + r*x - 3*x - x**3 + 1. Let f be m(-1). Solve 5*s = f + 19 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30311511, -30311512, -30311513, -30311514, -30311515, -30311516?\nAnswer: -30311517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 18*y**2 - 18*y + 12. Suppose -4*p - 4*k = 68, -3*p + 3*k + 24 - 87 = 0. Calculate q(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -4*p - 37, -4*h = p - h + 81 - 93 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -94*x - 114. Let d be w(-8). Suppose 4*h - 1703 - 909 = -4*v, h - d = 2*v. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -77292 divided by -77292?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1024, 2036, 3048, 4060, 5072, 6084?\n\"Answer: 1012*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.2 - 2.3. Which is the closest to -1? (a) 2 (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 5*y**2 - 4*y + 2. Let v be k(4). Suppose 2*o + 5*n - 19 = 4*o, 7 = -o + v*n. Solve 5*l + 2 = -o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 33. Put x, -2\/15, 4 in ascending order.\nAnswer: -2\/15, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r - 28. Let s be h(-12). Let k(d) = -2*d**2 + 16*d. Let u be k(s). What is the units digit of (u - -2)\/(1\/57)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 4*y + 12. Calculate the greatest common factor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -m + a + 493, 0 = 5*a - 15. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 830547.1 years to centuries.\nAnswer: 8305.471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(4851\/(-119)) + (-2)\/6 + (-16)\/209.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (93\/(-99) - 126\/18).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - -1)\/(-2 - -3). Let v = -11 + 16. Solve -11 = f*s + 2*n + n, 3*s + 13 = -v*n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/889200 and -64\/525.\nAnswer: 6224400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*g - 246 = 0, -g + 1001 = -3*c + 7*c. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0 (b) -2 (c) 1\/7 (d) 2\/23033 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86822?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**3 - 247298547*t**2 - 5096381069341872*t - 5096380822043328 = 0 for t.\nAnswer: -41216424, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(x - 2*x - 8*x)*(x - 2*x + 0*x).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 436726\/5 or 87346?\nAnswer: 436726\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -0*y + 9. Let w be 1 + y\/3 + 1. Let l = w + 6. Solve 5*b + 4*f = 27, 4*b + l*f - 21 = 4*f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**2*r + 7474379*h**2 + 8736944*h*r wrt h?\nAnswer: -4*r + 14948758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.1. Let s = -0.2 + i. Let r(v) = v**3 - 4*v**2 + 2*v - 4. Let l be r(4). Which is the closest to 5? (a) l (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*q - 12. Let c(f) = 21. Let w(g) = g + 62. Let l(t) = -7*c(t) + 2*w(t). Let o(k) = k - 11. Let a(s) = q*l(s) - 13*o(s). Calculate a(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 5:15 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 15793108 divided by 7896554\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109*b**5 - 2487*b**3 + 179866*b.\nAnswer: 2180*b**3 - 14922*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30\/29 + -933\/145. Suppose -3*k - 134 = -5*k. What is the common denominator of v and 4\/2 + k\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 456828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 89078330 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 14*y - 6. Let r(s) = 13*s - 7. Let x(q) = -3*l(q) + 4*r(q). Let f be x(4). Suppose -65 - f = -19*v. Solve 16 = v*d - d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -1 - (3 - 6 - -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 times 13.9698?\nAnswer: -712.4598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8361073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -33a3 - -53764?\nAnswer: 50381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15694826 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57993)\/(-83272) + ((-4)\/7)\/1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65343.16 millilitres in litres?\nAnswer: 65.34316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 323\/(2145366\/3564)*164?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345843281.\nAnswer: 7, 43, 1148981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15270644.\nAnswer: 2, 313, 12197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 3*z. Let o be p(4). Suppose -o*d + 3 + 5 = 0. Solve -v - 2*u - 10 = v, -d*u = -3*v - 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/4, 4.2, -134\/9, 0.5?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*u + 4*d + 5, 4*d = 4*u + 36 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.715, 5, -4 in descending order.\nAnswer: 5, -0.715, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*207736128.\nAnswer: 207736128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 69?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 6*o**2 - 7*o + 4. Let c be t(3). Let q be (-8)\/c*(-5 - (-10 - 5)). Does 3 divide ((-52)\/q)\/((-5)\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*1)\/((1792\/(-96))\/7).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - l - 57*l**3 + 215*l**3 - 93*l**3 + 3*l + 181*l**3 - 2*l**2 to the form z + d*l**2 + p*l**3 + s*l and give p.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 - 3.95. Which is the biggest value? (a) -1\/3 (b) -0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 81, 102, 141, 204, 297?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 4*v + 32, -5*v - 31158 = -b - 31134 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -6*b - 6*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 350 or 1518174\/4327?\nAnswer: 350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 896717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17605088297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*sqrt(300))**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 99\/2*r**3 - 3\/2*r**4 + 2025\/2*r - 945\/2*r**2.\nAnswer: -3*r*(r - 15)**2*(r - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + 3*sqrt(20)*2 - (sqrt(80) + 4*sqrt(80) + sqrt(80)))\/(sqrt(360) - (-1*sqrt(360) + sqrt(360))*3).\nAnswer: -5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10010343 (base 5) to base 14\nAnswer: -20a40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 697903*s**4 - 384295*s**2 wrt s.\nAnswer: 16749672*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 - ((-6)\/(-2) + -2). Suppose 4*q - 32 - n = 0. What is the remainder when 16 - 14 - (-13 - 0)*2 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + 7 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/34552 and -93\/392?\nAnswer: 241864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from mhvcmh.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 9)*(-3 + 1). Suppose 0 = -2*y - 12 + c. Suppose 1 + 3 = 4*f - y*l, -4 = -l. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1175, -4134, -9053, -15926, -24747, -35510?\nAnswer: -48209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 259 = v + 3485, -2*q + 5*v = -1295. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 885, 1425, 2315, 3555?\nAnswer: 5145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**2 + 2*h - 3. Let a be m(3). Let u = a - 25. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -3. Suppose 234*c = 210*c + 120. What is the second smallest value in t, c, -13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2. Suppose -r + 3*t = 7*t - 12, -2*r + 4*t + 12 = 0. Suppose -f = -3 - r. Let a(p) = f*p - 11*p - 3*p**2. Determine a(j(n)).\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 8*m**2 + 0*m**2 - 9*m**2 + 34 - 12*m - 22*m + 3*m**2. Give o(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, c: 4, q: 4}. Give prob of picking 4 c.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 8:23 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 12:34 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 333238414 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7040479661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f + 268914 = -167486. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/2? (a) -2\/5 (b) 2\/5 (c) -2\/15 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -715*w + 17077. Calculate l(23).\nAnswer: 632","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 5*s - 7 + 17 = 0, 2*s = -4*l + 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/9 + 5933*q\/9 - 316628\/3.\nAnswer: (q - 156)*(q + 6089)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1650365 and 76073?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -4, 8176 in increasing order.\nAnswer: -5, -4, -3, 8176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (0 - -1) + (-5 - -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 9*n + 3. Let m be o(-8). Let u(d) = 6 - 4*d + d**3 - 2 - d**2 + 0 + 5*d**2. What is u(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 36 (c) -119 (d) -2 (e) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/155*20\/6*659\/1318\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 57*h = -53*h + 20, -4*u = -7*h - 72 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 + 18*c - 36. What is x(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 742657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pcppppcjjggpppjg. Give prob of sequence jjpc.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1549 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 0 - 2 + 6 + 1 + p. Let j(x) = -x - 1. Let a = 2 - 2. Suppose a = 3*k - 2*z - 4, 3*k + 0*z = 3*z. Give k*j(g) + w(g).\nAnswer: -3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-26) - (-1)\/(-2). Let h = -11 + 38. Let u = 26 - h. Is r greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + 451\/(-44))\/((-22)\/16)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4105\/1216 - -1\/1216. Let x = h + 127\/40. What is the third smallest value in -1\/3, -3, -0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1082141\/33150498 + -34\/15801. What is the common denominator of c and 91\/6?\nAnswer: 6294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2089639322 to the nearest integer?\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 153.461364 hours?\nAnswer: 0.9134605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -393 - 782 = -47*a. Let s be (-8)\/(-10) + (-3)\/(-15). Solve 0 = 6*l + a - s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 36*l**2 - 3*l - 93. Let t be s(-36). What is the remainder when 6\/t + (-6766)\/(-85) is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from lllvlllvl.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1196 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23.21? (a) -50 (b) 2\/21 (c) -56\/11 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sspsssuuupupuuupu. Give prob of picking 2 s.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24382 + 71877. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*h + 6 = -x, 7*h = -2*x - 3. Let k = -1 - -1. Let b be (0 - k)\/(0 - -1). Solve -4*r + x + 10 = b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -4 (c) -0.03 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11387 + 1771 = -8*i. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2*t + 2*j - 20, -5*j = -3*t + 13. Suppose c = -4*b + 18, 3*b = -b + 16. What is the greatest common divisor of c and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/148 and 63\/74?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (-4)\/(-6) - (4\/(-7) - 4552148\/3444)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 747209 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*f + 4 = 7, -4*z - 2*f = -18. Suppose k - 5 = z. Suppose 0 = 5*h + 1 - k. Solve 14 = r - 3*u - h, -5*r = -4*u - 36 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1789 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 - 6*b + 5. Let f be p(3). Let h(y) be the first derivative of -1\/2*y**2 + 1 + 1\/5*y**f - 2\/9*y**3 + 1\/18*y**6 + 1\/6*y**4 - 1\/3*y. Factor h(m).\nAnswer: (m - 1)*(m + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -5*z - 4*l - 12, 0 = 4*z - l - 3. Suppose -w - 21 = -4*w. Suppose 3*f - w*f + 12 = z. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -117 + (59 + 209 - 118)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 + 30. Let f(r) = r**3 - 15*r**2 + 5*r + 42. Let w be f(2). Which is the third smallest value? (a) 1\/6 (b) h (c) w (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 422 - 216 - 206 - 4650*i**2.\nAnswer: -4650*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -50 + 52. Suppose j*r - 1230 = -s + 344, -r + s = -787. What are the prime factors of r?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 2:01 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -417 - -444. Suppose 4*y - 166 = 2*h, 34*y = 39*y - 5*h - 205. Calculate the remainder when y is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*o + 59*o - 512 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c = -10*c + 5*h - 29, 0 = 3*c + h - 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5574572?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -118, 27, 1, 19, 0.\nAnswer: -118, -2, 0, 1, 19, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 11:41 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21 - 390?\nAnswer: -36b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 64690597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -5. List the prime factors of n + (60\/18)\/((-2)\/(-57)).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2431364 (base 12) to base 13\nAnswer: -15c27c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2. Let y(t) = -t - 8. Let s be y(-12). Let o(l) = -l - l + s*l - l. Determine k(o(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93 + -93. Suppose 2*n + 4*f = -v*f + 10, -4*n - 4*f + 40 = 0. What is the remainder when 27 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*i**2 + 313*i**3 + 11*i - 157*i**3 - 4*i - 158*i**3 in the form m*i + n + t*i**2 + l*i**3 and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7529, 5487, 3437, 1379, -687, -2761?\n\"Answer: -4*w**2 - 2030*w + 9563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23.1 and 26717.\nAnswer: -617162.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*p**2 + 520*p**2 - 291*p**2 + 8*p - 3*p.\nAnswer: 14*p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 271 and -24581553234?\nAnswer: 24581553505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -3\/7 (c) -13.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**5\/20 - 3*f**4\/2 + f**3\/6 + 9*f**2 - 22*f - 2. Factor v(k).\nAnswer: -(k - 1)*(k + 1)*(k + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + 235\/(-30) + (-1)\/6. Is 1\/((-9)\/(-66285)) - m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.05, -4, -0.2, 3, -727, -1?\nAnswer: -727","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 8 = 4*g, -3*k + 4*k - 2*g = 2. What is v in 7*v**5 + 16*v**2 + 38*v**3 + 50*v**k + 5*v**5 - 6*v**4 + 10*v**3 = 0?\nAnswer: -2, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1114420 (base 5) in base 6?\nAnswer: 232305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*m - m. Let k be m*(-4 + (0 - -3)). Let l be 2\/8*1*-1. Which is smaller: l or k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/(-99) + 4\/(-12).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5042*k + 76831 + 225689 = 0 for k.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 110*z - 450. Let y be k(4). Solve 15 = 3*f + 3*a, -a + y = 4*f + 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 + 63. Solve -g + 17 = g - 5*b, -5*b = -g + m for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqnjlnonmnmm. What is prob of picking 1 l, 1 o, and 1 j?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k**2 - 2*k**2 - k**3)*(-2 + 4 - 1) + (-2*k + 5*k - 2*k)*(5*k**2 + 0*k**2 - k**2) in the form z*k**3 + d*k**2 + n + m*k and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20163 is divided by 190.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.73 and 91.2?\nAnswer: 248.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 7*y**6\/30 + 32*y**5\/5 - 14*y**4\/3 - 13*y**2 + 3. Factor r(x).\nAnswer: 4*x*(x + 14)*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 40*w**2 - 376*w - 233. Give l(-48).\nAnswer: -617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(6\/11)*u)**(2\/127)\/(((u*((u*u\/u**8)\/u)\/u)\/u)\/u*u*u\/u**(12\/7)*u) assuming u is positive.\nAnswer: u**(75676\/9779)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00427221 to five decimal places.\nAnswer: -0.00427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135) - -3*-1*sqrt(135))\/(sqrt(81)\/(sqrt(36)\/sqrt(4))))\/((1*sqrt(3024) + sqrt(3024) - sqrt(3024))\/(sqrt(7) - sqrt(567)*2)).\nAnswer: 17*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001110001100111011 + 11?\nAnswer: 11001110001100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -5. Differentiate v + 1 - 3*k + k with respect to k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 48.\nAnswer: -7, 3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100611 and 129357?\nAnswer: 905499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 - 3*c**2 + 8*c - 91. What is b(6)?\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.5 - 16.4999931. Round y to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, j: 1, v: 7, m: 1, r: 2}. Give prob of sequence mr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwo when three letters picked without replacement from wfoffotkgotg?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*q + 80*q + 67*q = 132 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 15. Suppose -2*a + 5*a = w. Suppose -14 = -a*x - 6. Solve -2 = -x*q - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80 + 204. Let x = 370\/3 - f. Let i = -1.6 + 2. Which is the smallest value? (a) 0.8 (b) x (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 3*y**2 + 10*y - 70. Let v be t(4). Let d be 2\/5 + (-846)\/(-10). What is the greatest common factor of v and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 456*v**3 - 2*v**2 + 8*v - 7. Suppose -g = 4*y - 6, 2*y + 2 = g - 4*g. Is w(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -1012012111102211?\nAnswer: -1012012111102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 313582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1917121 - 1917121.02300053. Let v = 44 - 43.977. Let m = v + t. What is m rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23999248.\nAnswer: 2, 7, 13, 53, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 43067015*z**2. Let m(i) = 2*i. Determine m(h(j)).\nAnswer: 86134030*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m = 14*m + 8. Let a = 2 - -1. Are m and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w + 14 = -0. List the prime factors of -17 + 15 - (-58 + w).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3 + 258*v**2 + 5405*v = 0. Calculate v.\nAnswer: -235, -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21013 - 1?\nAnswer: -21014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 14322 = 4*u + 4098, -2550 = -u + 2*j. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**2 - 17*r. Let b(v) = -79549*v. What is b(j(i))?\nAnswer: 318196*i**2 + 1352333*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-14) - (-495)\/21. Is m smaller than 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 12620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 666392586 divided by 258.\nAnswer: 2582917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -763\/18 != -2\/197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-225)\/10*50\/(-15). Calculate the greatest common divisor of 200 and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*q**3 + 4070476*q**2 + 41447809?\nAnswer: 9*q**2 + 8140952*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 106, -4, -1457?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n - 2. Let r(v) = -v. Let y(o) = -j(o) - 4*r(o). What is y(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(520)\/(sqrt(60)\/sqrt(6))*-2.\nAnswer: -4*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -7, -0.29?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5494 = -19*s + 29390. List the prime factors of s.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 26c?\nAnswer: -26c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -211 + 211. Determine a, given that l*a - a**3 + 1\/3*a**4 + 0 + a**5 - 1\/3*a**2 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -14. Let z(t) = -k + 5 + 0 + 2*t. Let q(s) = 4*s. What is q(z(c))?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/312 and -101\/1752.\nAnswer: 22776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02292375 to three decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -108*i**3 - 3 - 26 + 29*i**2 + 28*i - 108*i**3 - 117*i**3 + 334*i**3. Determine f(-28).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from eaapeapappaepppaae.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 167952130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*i + i + 434 = 0, 3*i = -q + 227. Let d = q - 202. Calculate the greatest common divisor of 55 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -135 + 137. Which is the nearest to -1.2? (a) u (b) 1 (c) 4 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3 - (-2)\/(-6). Let y be (-594)\/(-55) + m\/(-5). What is the derivative of -a**3 + 6 - 2 - 2 + y*a**3 wrt a?\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -4. Let u = q - -3. Is 1 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -323221110 (base 5) to base 15.\nAnswer: -1c4a20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 42 in 7, -4\/5, -0.1, 2\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 take away -123625185400?\nAnswer: 123625185400.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 209904\/7, -4, -0.4, -8, -2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*x - 12*x - 114 = -89*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2624, 2502, 2306, 2042, 1716?\nAnswer: 1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + 4*b - 63*b**4 + 6*b - 9*b wrt b.\nAnswer: -756*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/20430 and 61\/158900.\nAnswer: 1430100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 4 + (-1 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 574278533 to the nearest integer?\nAnswer: 23964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 665 and 2065.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 45 + -70?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5 + sqrt(832) + -1 + (sqrt(832) - (-2*(sqrt(832) + -2) - sqrt(832))) + 2 + 4)**2.\nAnswer: 160*sqrt(13) + 20804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 + 94. What is the least common multiple of 2 and w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 - 1?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 98, 0*s = 242*q + 63*q - 4*s + 3*s - 1476 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2115 divided by -141.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*g**2 + 3\/5*g**3 + 0 + 0*g + 3\/5*g**4 + 1\/5*g**5.\nAnswer: g**2*(g + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b - 16*b = -2*o + 85609, -4*b + 12 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1665, 6718, 15139, 26928, 42085?\nAnswer: 60610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h - 3 - 14*h**2 + 3*h - 5*h. Let b be p(-2). Let k = b + 140. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - j**2 + j + 1. Let n be r(0). Let g = -1 + n. Suppose 0 = -7*b + 46 - 4. Solve g*m + b = 3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/2*(-1 - -3). Let h be (3 - -1) + 28\/n. Sort h, 2, -5 in decreasing order.\nAnswer: 2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (-7 - -2)) + -5. Let c be h\/(-12)*-3*-6. What is the first derivative of 2*o + 5 - 7*o**2 - c*o**2 - 2*o wrt o?\nAnswer: -20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 83, -1\/5, -0.5, 0?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 27813, 111214, 250217, 444828, 695053?\n\"Answer: h**3 + 27795*h**2 + 9*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 0*m - 4*m)*(1 + 0 - 3) - 3*m + 3*m + 3*m + (2 + 3 - 3)*(0 - m + 0) + (-1 - 2 + 1)*(-6*m + 3 - 3).\nAnswer: 17*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4 = -j, 3*j - 2*r - 6 - 6 = 0. Solve 10 = j*o - 2*c, -3*c = -0*o + 3*o - 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 2\/11 (b) 2 (c) 88 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*d**3*l*o + 6305*d**3 - 4*d**2*l*o**2 + 258*d*l*o**2 + 86*d*l + d*o**2 - 2*l*o**2 - 9*o**2 wrt d?\nAnswer: 36*d*l*o + 37830*d - 8*l*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -3. Let l = q - -1. What is the first derivative of -l + s**2 + s**2 + 0 wrt s?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nineteen quarters of a millimeter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + 11000111011110010?\nAnswer: 11000111011100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**6\/120 + 3*z**5\/20 + 2*z**3 - 4*z**2. Let s be m(-9). Solve 0 = -t - 3*t + s for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1165 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 167 = -3*c + l, 5*l - 104 = -2*c. Suppose -c*k + 70*k - 1728 = 0. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**3\/4 - 523*a**2\/4 - 261*a\/2 = 0?\nAnswer: -522, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 11:54 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 11:48 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 123*s - 4430. Let v be m(36). Let u = 6 - 15. Let i = u + 16. Which is the third smallest value? (a) 1 (b) i (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11677, 11698, 11755, 11866, 12049, 12322, 12703?\nAnswer: 13210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o - 6. Let a be b(-5). Suppose 5*u = a + 6. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.25, -187558, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*i**2 + 248*i**2 - i + 267*i**2 - i.\nAnswer: 298*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*i + 5252 = -90*i + 1724 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3824 = -45*q + 37*q. Is 20 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 15 = -50. Suppose 8 = 3*x - y. Suppose 4*c + x*d - 20 = 0, c + 3*d - 2*d = 5. Calculate the remainder when c is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 1090 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 8*p - 37. Determine s(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*w**2 + 122*w**2 + 9*w - 300*w**2 as b*w**2 + a + v*w and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 5*s + s)*(-3*s**4 + s**4 + 4*s**4).\nAnswer: 18*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25074*s**3 + 20*s**2 - 33*s - 803370394 with respect to s.\nAnswer: -75222*s**2 + 40*s - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -1, -55, 979 in ascending order.\nAnswer: -55, -5, -1, 0, 979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 8 - 1)*(0 + 1 + 0)*(-3*n - 1 + 1) in the form c*n + o and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -754 - 168 - 185 = 123*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-90)\/(-12))*45\/30*-17?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -159 + 380. Which is the fourth biggest value? (a) 4 (b) -5 (c) -0.1 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 3\/5, 1, 107, 2, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + sqrt(325) - (sqrt(1872) + 5 + (sqrt(1872) - (-2 + sqrt(1872)) - sqrt(1872)))**2.\nAnswer: -49 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*u + 45, -u = -2*p - 2*u - 21. Let h(d) = -15*d + 72. Let a be h(-11). Let w = p + a. Calculate the highest common divisor of w and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a + 11*a + 7*a)*((-1 - 2 + 4)*(-2*a**4 + 3 - 3) + 59*a**4 - 489 + 489 + (0 + 1 - 4)*(2*a**4 + a**3 - a**3)).\nAnswer: 510*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 1108 = -4*i, 4*i - 1142 = -4*v - 6. Calculate the remainder when 497 is divided by i.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-425 - 3*h**2 + 425)*(6 + 13 + 16).\nAnswer: -105*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -84, -11 in decreasing order.\nAnswer: -2, -11, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -514 + 2568\/5. What is the third smallest value in 223, 0.05, t?\nAnswer: 223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, d: 9}. Give prob of sequence gd.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.461? (a) 4 (b) -0.1 (c) -3\/7 (d) 3 (e) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c**3 + 13*c**2 + 106*c + 7. Give r(-4).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 595.3 times -330\nAnswer: -196449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*u**4 - 6*u**3 + 9*u**3 - 3*u + 6*u**3.\nAnswer: -3*u*(u - 1)**2*(2*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121 + -320?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 12300311013120?\nAnswer: 12300311013130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 34, -6, -5, -0.78, 0.02?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 + 43 = -4*n. Suppose -j + 5 - 2 = 0. Suppose j*q = -q + 8. Solve -2*l + 3*g - q*g = 6, -g = -4*l - n for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1.2 (b) 0.96548 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4*h + 1 + 5)*(4*h + 0*h - 6*h)*(6 - 72 - 4) to the form c*h**2 + x + z*h and give z.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 495 = 543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 62158421*s. Let v(p) = 7*p**2. Determine v(n(j)).\nAnswer: 27045685108492687*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/936 and -75\/43888.\nAnswer: 394992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 157 + 2*q - 151 + 5*q + 3*q**2 - 2*q. Determine n(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2703 + 2708. Solve -l*s - 7 = b, 4*s + 0 + 4 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1522, 1347, 1058, 655, 138?\n\"Answer: -57*a**2 - 4*a + 1583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 416 = -q - 4*x, 0 = 5*q + x - 2101. What is q rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(f - 2*f - 8*f)*(4*f + 2*f**4 - 3*f**4 - 3*f).\nAnswer: -9*f**5 + 9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157911.\nAnswer: 3, 13, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -788, 1, 2, -2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 1\/2, 0.02, 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 + 211313*h**3 - 2113055*h**2 + 5282575*h.\nAnswer: -h*(h - 211303)*(h - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 452869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3038154667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 48 + i - 105.\nAnswer: i - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 4*c - 40 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.999892 - -17. Round j to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/20)\/(3\/(-5)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*y, -6 = -x - 684*y + 685*y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 84*b**2 + 2*b + 7. Is o(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144629772 divided by 108094\nAnswer: -1338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 201214 and 86762?\nAnswer: 1846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 173997 or 173992?\nAnswer: 173997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 253012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11011222200 - 10202?\nAnswer: -11012010102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/(-6417) - (-34)\/(-527)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 8:21 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 3 (b) 2\/13 (c) -0.5 (d) -88 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0522 * 0.101\nAnswer: -0.0052722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 2*i**2 - 4 - 2*i**2 + 2 + 3*i. Let d be l(4). Suppose -v + 0*v = -d. Calculate the remainder when v is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 - (12 - 4 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 337310440 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -51558 divided by -6?\nAnswer: 8593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p*q*r**2 - 38*p*q - 538*p*r**4 + 2*p*r**2 - 3*p*r - 2*p + 9*q + 2*r + 2 wrt r.\nAnswer: 4*p*q - 6456*p*r**2 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 25 = 2*y. Suppose y*t - 52 = 10. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s - 161. Let r be p(-24). Let u = 209 + r. What is o in 0 + u*o - 2\/7*o**2 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 - 38. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -248*o**3 + o + 1530?\nAnswer: -744*o**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - h - 548 = 0, -4*c - 2*h - 3*h + 524 = 0. Let s = c - 92. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svsv when four letters picked without replacement from {j: 1, v: 1, s: 1, h: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*p = -50*p. Suppose 3*q = 4*q. Suppose k + q*k - 8 = p. Calculate the remainder when 22 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 3)\/(95\/285). Solve 2 = t*v - m + 7, 3*m - 15 = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2882063.\nAnswer: 181, 15923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 206749 - 53341309\/258. Let z = 110\/191 - -17971\/2292. What is the common denominator of z and v?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18\/17, 0.4, 0.03?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9148164*c*o + 3280661*c wrt o?\nAnswer: 9148164*c","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Put -6, -8, -3, 4, -224 in decreasing order.\nAnswer: 4, -3, -6, -8, -224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h + 13. Let t be s(-3). Let j = t - -655. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 9:39 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 6*r + 7. Let v be h(8). Let a(s) = s**2 + 3*s - 2. Let n be a(v). Suppose 3*l - n = -l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**2 - 43*f + 64. Let j be k(9). Which is the biggest value? (a) -0.5 (b) -6 (c) -1\/4 (d) 2 (e) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9883 - 9805.67. Let t = -77.5 + b. What is the fourth smallest value in 4, 0.07, t, 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**3 - 43*r**2 + 15*r - 7. Let o be w(-22). What is the greatest common factor of o and 833?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -0.01 (c) 2 (d) -1.9 (e) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 347 = -5. Let m be v\/(-56) + (-4)\/14. Let g be m + -3 + (-4)\/(-2). Solve 4*z = -y + 21, z + 5*y = 5 + g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7775)\/(-4) - 0 - 3\/(-12). Find g, given that -3727 + 29971 + 144*g**3 + 6*g**4 - 2*g**4 + 11664*g + x*g**2 = 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2923 + -0.3923. Which is greater: q or 4\/207?\nAnswer: 4\/207","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134354 and 4092.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*l + 38*l - 64. Let s(i) = i**3 + 12. Let q be s(0). Let v be (q\/l)\/((-1)\/(-4)). Solve -m + v = 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*u + 546 - 186 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 6942?\nAnswer: 6938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13127153, 13127154, 13127155, 13127156?\n\"Answer: n + 13127152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15400 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -224 + 234. Let p(c) = 3*c**3 - 6*c**2 + 4*c - 31. What are the prime factors of p(s)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-108) + 19979\/6. Suppose -14*n - t = -68. Let r = n - -536. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2678997 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107571799*t**2*y**3 + 2*t*y**3 + 2*t*y - 2442616*t wrt t?\nAnswer: 215143598*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-18)*f*f\/(f*(f*f*f**(-6\/11))\/f))\/((f**20*f)\/f)**(2\/81) assuming f is positive.\nAnswer: f**(-15992\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 7*a. Suppose 15 = -2*h + 25. Let t(i) = 7*i. Let c(u) = -8*u. Let m(o) = h*c(o) + 6*t(o). Calculate m(r(k)).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/2)\/1*79\/1027?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 78707451?\nAnswer: -78707454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 - 71.9. Let y = 3.7 - p. What is the nearest to 0.1 in y, 4\/7, 2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (332 - 330) + (-7 - (2 - 2 - 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o**5\/5 + 60057*o**4\/5 + 2031*o**3 - 899805*o**2 - 3131550*o - 429000 = 0. Calculate o.\nAnswer: -5, -1\/7, 10, 2860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 2344?\nAnswer: 21096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-165)*((-210)\/9)\/7.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -102920 divided by 102920?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z**2 + 4*z - 6. Let t(m) = m**2 + 5*m - 3. Let y be t(-5). Let j(n) = -n**2 + n - 1. Calculate y*j(u) + r(u).\nAnswer: -2*u**2 + u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1296, 1322, 1348, 1374, 1400?\n\"Answer: 26*y + 1270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 5*j + 5. Suppose -3 = -y + 9. Suppose -4*z + z = y. Give o(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 - 4*m**2 - 93*m - 19. Give s(6).\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/2)\/(20\/(-56)))\/(22456\/(-12832))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a minute in milliseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*s + 134*s + 249*s.\nAnswer: 279*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604588.\nAnswer: 2, 17, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31800\/3132 + -10 + (-4)\/18.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/968 and -35\/21388.\nAnswer: 5175896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = p - 11, 2*p - 1944 + 1931 = g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170935*q + 170927*q + 32 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 n when three letters picked without replacement from {k: 4, n: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -425.\nAnswer: 6\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sfffzfzzszfsflssfs. What is prob of sequence fslf?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.1 - -5.1. Let t = 2 - 5\/2. What is the second biggest value in 1\/2, t, k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 16 - 9*o**2 + 2.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/145625 and -61\/322750.\nAnswer: 376003750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 188200769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 3 (c) 1.8 (d) -113\/1683\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + 0 + sqrt(52)*1*4)**2 + 3 + -3*(sqrt(1053) + -3).\nAnswer: -27*sqrt(13) + 5212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 9*w**2 - 5*w + 1. Suppose 5*z + 30 = -5*q, -z - 22 = 3*z + 5*q. Calculate n(z).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 6*r + 60. What is the greatest common divisor of r and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 4:01 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a tonne in kilograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one fifth of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-16) - 165\/(-12). Let v = l - 12. Solve -m + v*m + 5 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1773552496.\nAnswer: 2, 110847031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4345 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4566?\nAnswer: 2, 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -1\/5, 0, 1\/6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, a: 3, s: 1}. What is prob of picking 2 a and 1 p?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 24*k + 320.\nAnswer: -2*(k - 20)*(k + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 201\/(-9) - ((-4)\/18)\/((-46)\/(-69))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - (sqrt(209)*-3*4 + sqrt(209)) - sqrt(209))\/(sqrt(396)*1) - (0 + (sqrt(38)*-1 + sqrt(38))\/sqrt(2) + 0 + sqrt(684)))**2.\nAnswer: 11875\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 18 = 3*v, -8 = -3*d - 2*v + 3. Suppose 0 = -m - 2*m + d. Let h be 2\/7*(m + 13). Solve -g - h = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-4)*(-565)\/(-15). Suppose -o*q + 112*q = -7. Is q less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23170924*j**2*m**2*q - 18101*j**2*m - 27*j**2 - 2*m**2 - m + 1 wrt q?\nAnswer: 23170924*j**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*((-196)\/(-8))\/(-7). Let j(k) = -k**2 - 9*k. What is the tens digit of j(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by -54\nAnswer: 11\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1889*0.12\nAnswer: 226.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 3*l - 3*d, l - 30 = 6*l + d. Find the common denominator of (-28)\/l + (-210)\/88 and -81\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 54*a**5 - 216*a**4 + 126*a**3 + 164*a**2 + 32*a = 0. Calculate a.\nAnswer: -1\/3, 0, 2, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 426069496 to the power of 1\/2, to the nearest integer?\nAnswer: 20641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-5) - 1330\/(-25). Let g be (-5 - -6)*(7 + -2). What is the units digit of (-3)\/5 + o\/g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 29508048?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (32\/2)\/(-4 - (-10)\/3). Let i = 35 + z. Let x(o) = o**3 - 10*o**2 - 9*o - 16. Let n be x(i). Solve -4*v = 2*u + v + 15, 0 = -2*u - 2*v - n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 403, 376, 325, 244, 127?\n\"Answer: -n**3 - 6*n**2 - 2*n + 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*n**3 + 1044*n**2 - 1044*n**2.\nAnswer: -59*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29.538 and 7840.\nAnswer: 231577.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 247365150 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 + -1201221?\nAnswer: -1201022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 976815 is divided by 1752?\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -30*j**2 - 660*j + 5. Let t be u(-22). Solve t*b = -5*l + 45, -3*l + 0*l + 35 = 5*b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29\/33 + -211\/165. What is the nearest to 1 in o, -5, 0.15, -2.4?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(234) - sqrt(234)*2)*6)\/(5*sqrt(24) - sqrt(6)))\/(1*(-6*(sqrt(75)*-1 - sqrt(75)) - sqrt(75))).\nAnswer: -2*sqrt(13)\/165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91310404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**2 - 22786600*y - 25961456978000 = 0.\nAnswer: -2278660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 17*c + 62. Let g be v(-4). Let d(o) = 2*o**2 + 11*o + 11. Let b be d(g). Solve 0 = -15*i + b*i - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15440003387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 146.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 359837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*x + 22*x - 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 158*r + 1 + 0 - 11.\nAnswer: 158*r - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -3. Let x(b) = b**3 - 6*b**2 - 6*b + 2. Let r be x(7). Let p be 13\/(-6) + 6\/r. Sort p, 5, t in decreasing order.\nAnswer: 5, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.436 - 1.436. Which is the nearest to -2\/5? (a) 0.05 (b) -2\/9 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (-13 + 11 + -1 - (0 - 8))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h**2 + 20*h + 5. Let c(r) = -2*r**2 + 10*r + 3. Let q(j) = -7*c(j) + 3*l(j). Let b be q(-9). Suppose -4 = -b*u - 10. Are -1 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5\/4, 4\/5, 4, 5, 1?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f + 21. Let y be l(-6). What is the third derivative of -y*i**4 + 19*i**5 + 16*i**2 + 10*i**4 - 7*i**4 wrt i?\nAnswer: 1140*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 8*z. Let q be f(8). Let k be (3 + -2 - q)*2. Is 4 a factor of (k\/1)\/((-4)\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114900, 114899, 114898, 114897, 114896?\nAnswer: 114895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-6))\/(10\/(-6)). Suppose 4*l = 6 + 2. Let s be (0\/(l - -1))\/2. Is h equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -781, -3027, -6761, -11977, -18669, -26831, -36457?\nAnswer: -47541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-66)\/(-5))\/((-3)\/(-40)). Let y be (-126)\/420 - 63\/(-10). Suppose y*v - 1012 = w. 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 xm when two letters picked without replacement from {u: 2, n: 4, c: 2, m: 1, x: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 377*15\/12615*(-2)\/(-26).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j**5 + 375*j**4 - 2915*j**3 + 5125*j**2 - 3105*j + 500 = 0.\nAnswer: -25, 1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**5\/10 - 11*g**4\/2 - 68*g**3\/3 - 8*g - 12. What is the second derivative of h(w) wrt w?\nAnswer: 12*w - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 500, 1019, 1550, 2099, 2672, 3275?\n\"Answer: g**3 + 512*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*r = -3580 - 1371 + 1045 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhaaaahanedenadaa. What is prob of picking 2 h and 2 n?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4275697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**3*w**3 + 367*a**3*w + 3*a**2*w**2 + 287*a*w**3 - 7*w**3 wrt a?\nAnswer: -12*w**3 + 2202*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.56 - 642.1?\nAnswer: -639.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18277.\nAnswer: 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - 81. Let k be d\/18 + 51\/6. Sort -3, -5, k in ascending order.\nAnswer: -5, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*s = -18, -s - 2 = -3. Let t(g) = -7993*g - 2 + 7995*g - 3*g**2 + 0*g**2 + 6*g**2 - g**3. What is t(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417*a - 12036 + 1545 = 1185 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 1 + 1)*(91*r - 91*r - 60*r**4).\nAnswer: -60*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 6. Let x be o(0). Suppose 72 = -2*n + x*n. Let t = 2155 + -2150. What is the remainder when n is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 8:00 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 take away -2547?\nAnswer: 2556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 12, -7*a + 50 = -2*a - 5*q. Let z(y) = y**2 - 3 - a*y + y - 2. List the prime factors of z(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20586, -41174, -61762, -82350, -102938, -123526?\nAnswer: -144114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1581580 divided by 12166.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y**2 - 873*y - 520. Let u be l(-174). Solve 0 = d + u, 5*t - 371*d + 7 = -372*d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1548068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -14*((-208)\/(-56) + -4). Suppose -2*t + t - 5*i = d, -4*t + i = -89. Solve 0*p + t = -7*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-1\/3)*p)\/p*p)\/((p\/p**(-3\/2))\/p))\/(p\/p**(1\/2))**(5\/12))\/((p*p\/p**(-1\/3)*p)**(-38)\/(p*p**4*p\/(p\/(p**(-6)*p*p)))) assuming p is positive.\nAnswer: p**(1013\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9*p + 66. What is o(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 432 + 57. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1969 + -1315. Calculate the highest common factor of 12 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 20*u - 3. Let k be g(1). Let o = 18 + k. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 363 and 4404972.\nAnswer: 48454692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v - 2*v + 0*v)*(8*v + 7*v + 12*v) as q + d*v**2 + y*v and give d.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**4\/12 - x**3 + x**2 - x + 2. What is a(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/42)\/(9*8\/(-108))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + m + 4)*(-m + 4 - 4)*(-m**2 + 0*m + 0*m - 2*m**2 - 1 + 1 + (0*m + 4*m - 3*m)*(5*m - 3*m + 0*m) + 5*m**2 - 3*m**2 - m**2 + 4*m**2 - 5*m + 5*m).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 846369.8 centimeters to micrometers.\nAnswer: 8463698000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83 or 2017?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -236.67681797 + 5.67671497. Let j = g - -231. Round j to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20*j**2 + 43*j**2 + 29*j**2)*(6*j + 3*j + 2*j) to the form r*j**3 + p*j + c*j**2 + o and give r.\nAnswer: 572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 y when three letters picked without replacement from {m: 8, o: 5, y: 4, n: 2}.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1652.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2100022122 (base 3) to base 9.\nAnswer: 70278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1641282 to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 121 - 125. Which is the second smallest value? (a) -7\/3 (b) o (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -5*l + 15, -5*r + 2*l - 37 = -52 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1054 + 18*w**2 - 96*w**2 - 334 + 110*w**3 - 145*w**3 - 50*w - 557*w**2.\nAnswer: -5*(w - 1)*(w + 18)*(7*w + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3509 by -3509.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**3\/3 + 3*i**2 - i + 2. Let k be j(5). Suppose -w = -17 + 13. Solve 9 = m - w*v - 11, -5*v - 25 = -k*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568 is divided by 109?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 511 = 16*t - 4385. Calculate the remainder when t is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7242 (base 10) in base 16?\nAnswer: -1c4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112*b**2*h**3*w**2 - 1606*b**2*h - 2*b**2*w**2 - 8*b*h**3 - 2*h**2*w**2 wrt h?\nAnswer: -672*b**2*w**2 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196941.\nAnswer: 3, 65647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1338*v - 1362*v = -14126952. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 3*v**2 + 2*v - 2. Let f be p(3). Let m = 4 + -3. Let b = m - 5. What is the closest to -1\/4 in 3, b, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 49. Suppose 0*d - y*d = -20. Let r be (-1)\/((d\/(-12))\/(2 - 1)). Solve -r = 2*l + l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-6))\/(16*(-17)\/(-272)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/(-2)*(-36)\/(-63).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -1.1 (c) -4 (d) -1\/34 (e) 28 (f) -2\/93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.07 (b) -1\/25 (c) 6 (d) -0.2 (e) 4\/111 (f) 0.3 (g) 0.8\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-16)*(-1 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12290, -12621, -12952, -13283?\nAnswer: -13614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -25507547 bigger than -0.38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -71\/3. Let i = -35.957 + -0.043. Let o = i + 36.6. Is n <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, w: 1, t: 2, j: 5}. Give prob of picking 1 h and 1 w.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*r - 4792 - 479 = -812 for r.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 24*j**2 - j + 27. Let a be u(24). Solve a*b = -b + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*j**2 + 80*j**2 + 2*j**3 - 257 - 77*j**4 + 76*j**4 + 253 to g*j**4 + s*j + y*j**3 + h*j**2 + o and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1\/2)*f)**25*f*f**(-1)*f**(-6)\/f assuming f is positive.\nAnswer: f**(61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1759281 or 1?\nAnswer: 2\/1759281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lglx when four letters picked without replacement from {l: 2, h: 1, x: 10, g: 3}?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -8.66, 5\/2, -1\/4, 4, 31?\nAnswer: -8.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 602, 1199, 1794, 2387, 2978, 3567, 4154?\nAnswer: 4739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -112?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -686 + 1045. Is g a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.1307836 rounded to one decimal place?\nAnswer: 17.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t + 19 + 17 = 171 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-56)*5)\/(42125\/(-202200))\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -2) + (80 - 88) - (6 + -55).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3018102.55 to the nearest 100.\nAnswer: -3018100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 169 - -10.\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-22 + 21 - (0 - 45)) + (7 - -16) + -11\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/3 - 327368*g\/3 + 1636865\/3.\nAnswer: -(g - 5)*(g + 327373)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) -326.57 (c) 1\/4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1365\/2 + -680. What is the second biggest value in -5, d, 16, 0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvfvfdvv. Give prob of picking 1 d, 1 f, and 1 v.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 877.98 + 0.02. Let o = 878.1 - w. Which is the closest to o? (a) 1 (b) 0.23 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/5 - 12867*o\/5 - 93420.\nAnswer: 3*(o - 4325)*(o + 36)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence msgm when four letters picked without replacement from suusgfufssssfgsmffuz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -17022 divided by 3\nAnswer: -5674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -545*z + 2137*z + 285*z.\nAnswer: 1877*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u**3 + 3*u**3 - 10*u**3 + (-2*u**2 + 34*u - 34*u)*(11 - 11 + 6*u).\nAnswer: -25*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39528448 and 2048.\nAnswer: 2048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 + 5*z**4 - 9*z**4 - 2*z + 34*z**3 + 5*z - 5*z - 23*z**3 to the form v*z**3 + t + k*z**4 + d*z + u*z**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*z - 1885 + 50074951*z**2 - 50059304*z**2 + 536 wrt z?\nAnswer: 31294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = 9 - 54. Calculate the common denominator of 34\/9 and 0\/(-1) - (330\/(-54))\/q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4759 + -3398. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -1. Let q be ((24\/10)\/(-1))\/((-6)\/(-30)). Let a(v) = 4*v**2 + 12. Determine q*x(g) - a(g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 975 and -43.\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-70)\/(-350)*5*2. Solve u = 2 - d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 22 - (-527 + 527) - -9.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 - 0.06. Let i = -37\/3 + 12. Let n = -321 - -306. Which is the closest to g? (a) i (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 6. Let j be c - ((-3)\/21 + (-56)\/(-49)). Let v(g) = 68*g**3 + g. Is v(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 44, 157, 344, 605, 940, 1349, 1832?\n\"Answer: 37*m**2 + 2*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 6*h + 7. Suppose 4*t = -2*i - 120, i - 2*i = -4*t - 108. Let n = 40 + t. Let p = 6 - n. Determine q(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 2*x - 3. Let k be q(-3). Suppose 0 = -4*c + 6 + k. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -18. Let l = 5 - 3. Suppose -l*j = 3*j - d. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6229182 and 138.\nAnswer: 6229182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -109940, -110430, -110902, -111350, -111768, -112150?\n\"Answer: l**3 + 3*l**2 - 506*l - 109438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -0.1, 4, -4, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*1\/3*-3. Suppose 2*d + 4*g - 8 = 0, -3*g + g + 4 = -t*d. Solve -2*c - c - 5*i = 11, -4*i - 16 = d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 3*c + 0*c)*(3 - 1 - 1)*(248 - 666 + 236).\nAnswer: 364*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -24*b + 10. Let j(r) = -8*r + 4. Calculate 4*i(h) - 11*j(h).\nAnswer: -8*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 51 divided by -6895\nAnswer: -51\/6895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3097999, -2, 15, 4 in ascending order.\nAnswer: -2, 4, 15, 3097999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -1809\/47?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 207\/(-27) + 7 + (-88)\/(-6). Let z be (-65)\/10 + 1\/2. Let c = -4 - z. Sort c, i, -2 in decreasing order.\nAnswer: i, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*v**2 - 33*v**4 - v**3 + 27*v**2 + 21*v**2 wrt v.\nAnswer: -792*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a - 131. Give n(-34).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*j - 4 + 2*j**4 - j**4 - 2*j**3 + 2*j**3 + 6 to the form t*j**4 + q + v*j + o*j**2 + m*j**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*((d**(-9\/4)*d)\/d*d)\/d)\/(d*d**(-2\/13)))\/(d*d\/(d*d\/(d**(-2\/9)*d))*d)**(-5))**(1\/3) assuming d is positive.\nAnswer: d**(3647\/1404)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7602613 litres?\nAnswer: 760.2613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 128a + 2?\nAnswer: 128c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 748, 757, 766, 775, 784, 793?\n\"Answer: 9*p + 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffbx when four letters picked without replacement from {x: 2, b: 4, i: 9, f: 3}?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -678263174 divided by 4\nAnswer: -339131587\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 6. Find t, given that -4 + 2*t + d - t + t**2 + 0*t**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1687)\/16147)\/(10\/(-4690))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 0*u + u)*(-30 + 274*u + 4 - 269*u).\nAnswer: -10*u**2 + 52*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -416\/253 - -42\/23. Let h = -12 - -13. Which is the closest to h? (a) -20 (b) 0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 367, 402, 499, 688, 999?\nAnswer: 1462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -130*k**2 + 1847?\nAnswer: -260*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-48)\/(-288))\/(-1*2). Which is the fourth smallest value? (a) j (b) -4 (c) 0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.6 * 0.4\nAnswer: -7.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-6)*-2)\/((-50)\/21825) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/30)\/1)\/((-15)\/81)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k - 12. Let y(f) = -2*f - 25. Let j(z) = -5*p(z) + 2*y(z). Let r be j(-13). Which is the biggest value? (a) 3 (b) -0.2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**3 + 12*g**2 - 13*g - 48. Let t be q(-4). Let h = -60 + 60. Determine a, given that -8\/5*a + h - 32\/5*a**2 - 34\/5*a**3 - 2*a**t = 0.\nAnswer: -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.21 * -0.28.\nAnswer: -0.0588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1412508305 to the power of 1\/2, to the nearest integer?\nAnswer: 37583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**4\/3 - 49*k**3 + 2432*k**2\/3 = 0.\nAnswer: 0, 19, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11 - -11) + 1*2. Let i(x) = -x**2 + 7*x - 2. Let d be i(6). Suppose g - d*j = 3*g - 24, 21 = 3*g + j. Solve 4*v = g + r for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from {t: 1, m: 1, u: 1, a: 1, k: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -4*w + 6*w - 31, -5*w = 3*q - 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-20)\/(-16))\/(2\/112*2). Let x = u + -33. Let p = 25 + x. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - u**2 - u - 1. Suppose -6 = -5*b + 8*b. Let f be (b\/7)\/((-1)\/7). Let q be i(f). Let t(s) = -9*s**3. What is t(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2. Let t(f) = -f**2 - 2 + 1 + 0 + f. Let n(h) = h**2 - 5*h + 5. Let p(j) = -j. Let c be p(5). Let y(u) = c*t(u) - n(u). Give y(b(z)).\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w**3 + 20*w**2 + 786*w - 800. What is v(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -1 - -8 - 1) + 5 - 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*y - 5*k - 6, -4*k + 6 = 3*y. Suppose x + y = 1. Is 8 a factor of x + (21 - (-3 + 4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 - -56. Let f be -5 + (-5 - -6) - (-14 + 2). Suppose -4*t + 2*a = -m, -3*t - a + f = -0*a. Solve t = -x + 3*o - 13, 2*x + o = 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 10344*w. Let s(b) = 40*b**2. Give i(s(t)).\nAnswer: 413760*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4 + (sqrt(18)\/sqrt(6))**2)*2*-2.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a + 3. Let d(t) = -5*t + 6. Let x(c) = 6*c - 8. Let o(v) = 3*d(v) + 2*x(v). Suppose 2*z - 310 + 316 = 0. What is z*m(n) + 5*o(n)?\nAnswer: 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -c. Let r be (-2 + c)\/(3\/(-1419)). Suppose -p + r = p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwww when four letters picked without replacement from vvuuwuwu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 2. Let c = 1 + m. Suppose u - 1600000 = -c*u. What is u rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 86474000 to the nearest one hundred thousand.\nAnswer: 86500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -211 + -1?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 0*n + 0*n**3 + 1\/210*n**7 + 0*n**4 + 0 - 1\/120*n**6 - 3*n**2 + 0*n**5. Solve a(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 359 - 136. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 5*k. Suppose k = -2*d + d + 26. Suppose 0*h + d = 2*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*((c\/c**(-49)*c)\/c*c)\/c)**(-1\/9) assuming c is positive.\nAnswer: c**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10175032 by 1022.\nAnswer: 9956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = -693*n + 673*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (8 - 2 - 3) - ((-4 - -16) + 13)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*w**3 + 2*w**3 - 2*w**4 - w**2 + 3399361*w - 3399344*w to o*w**4 + n + x*w**3 + q*w**2 + u*w and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 151 = 7*x. Let v be 64\/10*(32 - 2). Suppose -3*f + w + v = 5*w, -x = -2*f + 5*w. What is the greatest common divisor of f and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -2, -3450 in increasing order.\nAnswer: -3450, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 5*v**2 - 4*v + 2. Let u be c(3). Suppose 6*l - 1680 = -u*l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63007113, -126014234, -189021353, -252028470, -315035585?\nAnswer: -378042698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 98\/6 - 8\/(-12). Solve 5*x + 3*r - 49 + q = 0, 3*x = -4*r + 28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) -5 (c) -1\/12 (d) -6 (e) 3\/26 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/4033?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26776.\nAnswer: 2, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8072*b + 592 + 158 - 148 = -8065*b for b.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 248720 and 72?\nAnswer: 2238480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 4, -322, -53, 3 in decreasing order.\nAnswer: 4, 3, 2, -1, -53, -322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290650.\nAnswer: 2, 5, 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101.8391 take away -0.3?\nAnswer: 11102.1391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-396)\/(-54))\/((-4)\/6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1851.16695 to the nearest 10.\nAnswer: -1850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2394897336 minus -0.26704?\nAnswer: 2394897336.26704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) -8403 (c) -4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14627463 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**7\/5040 + n**5\/20 + 4*n**2. Let o(y) be the third derivative of v(y). Let b(g) = 2*g**2. Give o(b(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**8\/2520 - 2*t**7\/1575 - t**6\/225 + t**5\/225 + t**4\/60 + 147*t**2. Determine m so that y(m) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -7*b**5\/20 + b**4\/6 - 11*b**3\/6 - 7*b**2 + 15*b. List the prime factors of o(-4).\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 7:07 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -364 + 0?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(-2*sqrt(250)))**2.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p + 256. Give v(12).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 4:45 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16298202)\/(-54) + (-32)\/9 + 4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2 = 3*n. Let r = n - -26. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -194?\nAnswer: -194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5164 - -1420. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*a - 76 = -5*y, -4*a - 44 = -5*y. Suppose -6*v = -10*v + y. Is 160 + (6 - v)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -11*a - 2. What is b(-14)?\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1012094?\nAnswer: 2, 506047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1064, -790, -528, -284, -64, 126?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -49*k**3 + 11*k**2 + 11*k + 1. What is s(-1)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14384962?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 1\/24*r**4 + 0*r**3 + 0 - 9*r**2 + 0*r. Let b(p) = -4*p**2. Give b(a(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 4*r**2\/5 - 78632*r\/5 + 862532 = 0.\nAnswer: 55, 19603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 0 + 2\/13*f - 4\/13*f**2 = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-21)\/27 + (-2)\/9 - -635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -70*j**4 + 265*j**3 + 60*j**2.\nAnswer: -5*j**2*(j - 4)*(14*j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6\/(z*z**(-1)))\/(z**(1\/4)\/z**(-2\/3))*((z**(-1\/3)*z)\/(z\/z**(-1\/4)))**50 assuming z is positive.\nAnswer: z**(-289\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-23))**(10\/13))**(-4\/23) assuming w is positive.\nAnswer: w**(880\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*z + 71 = 0, 6*n - 96 = 2*n + 2*z. Let l(v) = 10*v**2 - n*v**2 + 6 + 14*v**2 - 4*v. Determine l(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 4037573 - 4037573.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 - 4*y**2 + y + 3. What is a(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 8.2. Let l = j + 2.4. Let p = -0.8 - l. Does p = 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -1) + (12 - 31 - -11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(250\/20)*(-20)\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*s = 20, -3*u + 32 = -8*u - s. Let v(g) = g**2 - 9*g + 9. Let l be v(7). Which is smaller: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 806 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*y - 12, -2*p - 6 + 0 = -2*y. What is the remainder when 16 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 526 - 481 = 0. Suppose -d = -4*r + 43. Solve 0 = z - r + 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229486 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5 + 10)\/(-3))\/(-15)*-1*(-1 + 70).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -86*m - 2. Let k = 37 - 88. Let u = -48 - k. Let n be y(u). Round n to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/28482 and -3\/9494.\nAnswer: 28482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*u - 12200 = 200*u - 257*u for u.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(9 + -2) + 116\/812.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 0, 5, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/2 of a hour?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2501231 is divided by 1999.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from cihdhihdzhi.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14863, 59454, 133773, 237820, 371595, 535098, 728329?\n\"Answer: 14864*d**2 - d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5)*n**(-16) assuming n is positive.\nAnswer: n**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from iiioioi.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 minus -0.14?\nAnswer: 131.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495607830.\nAnswer: 2, 3, 5, 113, 146197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 153808\/209 + -8094\/11. Which is the third biggest value? (a) 0.1 (b) 0.3 (c) 5.9 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 134326 and 282.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9067722\/263 or 34477?\nAnswer: 9067722\/263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6 - 25\/(-30). Let w = 2515943\/4 + -628985. Let d = -24 + 35. What is the closest to 2\/7 in d, w, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4959689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a81c + 2?\nAnswer: a821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(19) - 4*sqrt(19))*-1 + -1 + 1 + -4*(sqrt(133)*-2)\/sqrt(7))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - 9)*(-1 - 0). Find the second derivative of 0*v - z*v + 2*v + 10*v + 12*v**5 wrt v.\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 18*c**2 - 1. Let w(y) = -53*y**2 + y + 3. Let f(s) = -17*k(s) - 6*w(s). Is f(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.9 and -271.8.\nAnswer: -273.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 4930.13 and 0.09103.\nAnswer: 4930.22103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v**2 - v + 1. Let s be (-13)\/(-52) - ((-270)\/(-8))\/(-5). Let h(a) = 9*a**2 + 3*a - 1. Determine s*p(w) + 3*h(w).\nAnswer: -w**2 + 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 233\/11 + -1901\/110. Let x = -9\/2 + t. Which is the smallest value? (a) x (b) -2\/7 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -617*a - 865. Let t(o) = -1235*o - 1743. Let b(m) = 4*t(m) - 7*v(m). What is the first derivative of b(d) wrt d?\nAnswer: -621","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/(25\/(-15)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**4 + 23*u**2\/2 + 26*u. Find the first derivative of w(x) wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-18))\/(25*6\/180).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**5\/2 + 15*w**4\/2 - 15*w**3\/2 - 75*w**2\/2 + 60*w - 24.\nAnswer: 3*(w - 1)**3*(w + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -385*u. Let o(x) = -22*x. Let l(g) = -5*d(g) + 88*o(g). Let f be l(-5). Let j = 500 - f. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 10202?\nAnswer: -10166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -0.2. Let o = z - 1.1. Put 0.3, o, -2\/5, 1 in descending order.\nAnswer: 1, 0.3, -2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -18. Suppose 4*r + r - 15 = p*i, -23 = 4*r + 3*i. Sort -18, -16, r in descending order.\nAnswer: r, -16, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(76)*-1 + ((2*sqrt(171) + sqrt(171))\/sqrt(9) - sqrt(76)\/(sqrt(12)\/sqrt(3))))*-5.\nAnswer: -60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(120\/(-145)))\/(5\/(-30))*8\/6.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 558 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = 3 - 52. Suppose -c - 5*l = -22, c = 5*l - r - 1. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -0.116?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, d: 1, c: 1, z: 1, u: 1}. Give prob of picking 1 c and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*g + 264*g + 6 = 5*a - 39 - 8, 0 = 28*a - 252 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 64 divided by -32\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 26*u**2 - 2*u + 56. Let i be j(26). Suppose d + 10*b = 6*b + 519, i*d = -5*b + 2098. Is d a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -3. What is the first derivative of 8 - 3 - 2*j**t + j**2 - j**2 wrt j?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012307999 to five dps.\nAnswer: 0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 557891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132571807.\nAnswer: 6229, 21283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -0.5, -4001?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3564, 14261, 32084, 57027, 89084, 128249, 174516?\nAnswer: 227879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 440396279 to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzxxzxzxxxzzzzzzz. Give prob of picking 3 z.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 15*a**2 - 14*a + 6. Let j be l(-14). Suppose v = j*v - 15. Suppose -5*n = 2*d - 23, -2*d - 1 = -v*n - 0. Solve 0*o = n*o + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 h when two letters picked without replacement from {k: 3, a: 8, b: 1, y: 2, h: 5}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 5*t + 24, -4*t - t = -4*r + 27. Sort -2, 16, r in descending order.\nAnswer: 16, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1720451.\nAnswer: 17, 101203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -310 + 315. What is the second derivative of 33*l**3 - 11 + 2*l**t + 16*l**4 - 5*l**3 - 16*l**4 + 2*l wrt l?\nAnswer: 40*l**3 + 168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 + 3 - 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 115 + -114.9356. Let t = 0.06439173 - l. Round t to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 747 + -5?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4\/l)**(5\/9) assuming l is positive.\nAnswer: l**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 847 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -598 - -595. What is the third smallest value in -4, j, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*r, -4*o - 4 + 2 = 5*r. What is the third derivative of 85 - 85 + 6*i**4 + 12*i**o wrt i?\nAnswer: 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r + 4 - 5*r**2 - r**3 + 2*r. Let b(a) be the second derivative of -a**5\/20 + 7*a**4\/12 + 7*a**3\/6 + 3*a**2\/2 + 4*a. Let v be b(8). What is k(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/4, 15, -5\/551, -5, 0.4, 0.75?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 94006.31 millennia in centuries?\nAnswer: 940063.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11842.\nAnswer: 2, 31, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-6*5\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) -0.1 (b) -0.71 (c) -5 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - (6*sqrt(114)*1 - sqrt(114)) - ((sqrt(114)*2 + sqrt(114))*-3 + sqrt(114) + sqrt(114) + sqrt(114)))\/(1*(-3*sqrt(294) - sqrt(294)))*-1.\nAnswer: sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6846717 divided by -4\nAnswer: -6846717\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*w**2 - 1716*w + 24755.\nAnswer: -44*w - 1716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.32344 - -3.67656. What is the third biggest value in 2, m, 3\/7, 3.933?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 205 + -73. Let i = 229 - u. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -434*i**2*n**3 - 2*i*n**3 + 686*i*n**2 wrt i.\nAnswer: -868*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -57?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3429 by -3429.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 94235 = -5*i, -3*f - 4*i = -31934 + 528. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2523.33928 + -2524.6. What is k rounded to two dps?\nAnswer: -1.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -79828.6 and -1097605?\nAnswer: 1017776.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*t**3 - 48*t**3 + 18*t**3.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 113591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 219 and ((-48)\/(-28))\/(2 - 612\/308).\nAnswer: 9636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.87, -5.6, -1362\/17 in decreasing order.\nAnswer: -0.87, -5.6, -1362\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83*g**6 + 11*g**5 + 2*g**4 + 2*g**2 + 1045*g wrt g?\nAnswer: -9960*g**3 + 660*g**2 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 113917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2258, 2264, 2276, 2294, 2318, 2348?\nAnswer: 2384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l - 11*l**2 + 3*l + 2*l**2 + 10*l**2 + 6. Suppose 4*w - 5 = 5*w. Let j be c(w). Which is bigger: j or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 16362 = -0*g - 3*t, 0 = g - 4*t + 4084. Let m = -2011 - g. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jurs when four letters picked without replacement from jreumruusseseusuujs?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -23. Suppose 0 = 4*d + o - 22, -5*o + y = 3*d - 0*d. Let g be (-3 + d)*6 - 0. Solve 3*p + t = 6, p - 4*p + g = -3*t for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, g: 5}. Give prob of picking 2 g.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - f)*(2*f + 3*f - 4*f) - 2*f**2 - 5 + 5 - 20 + 11*f**2 + 2*f + f + 18.\nAnswer: 8*f**2 + 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/17)\/(m*m**(4\/7)\/m) assuming m is positive.\nAnswer: m**(-54\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 58.6 and -0.0659.\nAnswer: 58.5341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198 and 262999.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-15) - 2\/(-5). Let c be (-999)\/(-7) - 6\/(-21). Let r = 718\/5 - c. Which is bigger: r or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -5. Suppose 2*t - w = -t. Sort t, -5, 2\/5.\nAnswer: -5, 2\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*m + 2 = 0, -i = 2*m - 49. What is the remainder when 89 is divided by i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328868640?\nAnswer: 2, 3, 5, 269, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b = 18*b + 4. Suppose 3*o - 5*s = o + 120, -132 = -b*o - s. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -26, 1\/3 in descending order.\nAnswer: 1\/3, -0.4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 113*v - 16. Let s(p) = 1. Let x(b) = c(b) - 6*s(b). Is x(3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + q - 1. Let s(d) = 502 - 2*d**3 - 503 + 6*d**3 + 2*d. Determine -2*a(j) + s(j).\nAnswer: 2*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -64 + (42 - -20) - (-13 + -1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 110293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**4 + z**2 + 386 - 3*z**4 + 3*z - 385 as c + n*z**2 + s*z + m*z**4 + g*z**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-219)\/456 + (407\/(-627)*6 - -4).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/63 - (-12)\/(-42). Let a = -62733 - -62732. What is the second smallest value in 0.08, a, i, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.2436 times 3\nAnswer: -21.7308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 540, 0, 3\/11?\nAnswer: 540","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22656 in 2\/9, 0.03, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -74410 < -74408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -1322*c**2 - 30*c - 5. Let i(s) = -1322*s**2 - 24*s - 4. Calculate -4*g(m) + 5*i(m).\nAnswer: -1322*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3633431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -8*f + 4*f. Let m(t) = -3 + 5 + 9*t - 2*t. Is 22 a factor of m(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -139036*h**3*v**2 + 45*h**2*v**2 + h**2*v + 13*h**2 - 5*v**2 wrt h?\nAnswer: -834216*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 831336.\nAnswer: 2, 3, 11, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 303460 and 40.\nAnswer: 606920","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 647*j**2 + 35*j. Is p(-4) a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5712 by -5712.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 65113075, 130226151, 195339227, 260452303, 325565379, 390678455?\n\"Answer: 65113076*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15718736909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, u: 10, z: 2, i: 3}. Give prob of picking 3 m.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2782538\/431 - 6456. Let m = g + 421\/2155. Let -2\/5*x - 1\/5 - m*x**2 = 0. Calculate x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-4*((sqrt(13) + sqrt(52) + sqrt(52) + -1 + sqrt(13))**2 - 6*(-1 + sqrt(13))**2).\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-4)*((-4)\/4 - -5). What are the prime factors of -102*6\/a - -5?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4457675, -4457671, -4457667, -4457663, -4457659?\nAnswer: -4457655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/4*(-32)\/12. Suppose 2*v = b*c - 42, 18 = -0*c + 2*c + 2*v. Let m = 13 + 6. Calculate the remainder when m is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41101782767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m + 1 + 3 + 5*m. Let p be 0 + (-2 - (-10)\/5). Let k be x(p). Solve 5*t = 2*h - 15, -7 = -k*t + 4*h - 31 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -10*j + 9. Let b(l) = 10*l - 10. Let i(x) = -4*b(x) - 5*v(x). Is i(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1349*h**4 + 11*h**2 + 17?\nAnswer: -32376*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 4.1. Let j = m - -6. Which is the closest to 3? (a) 2\/7 (b) -1\/9 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-768)\/(-54)*2155\/27620. Let f = -2\/1381 - v. Find the common denominator of -31\/2 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.3 + -0.8. Let x = 3 - i. Let g be (8\/(-60))\/((-6)\/(-9)). Which is the closest to 1? (a) x (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/((-15)\/9 - -1). Suppose 0 = -s + 5*s - r. Suppose -y = -4*x - 35, s = y - x - 14. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27*2*20\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/27*3\/(-8)*-4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 18 = -5*k, -2*m + 27 = 4*k + 7. Suppose 8*h - 26 = -8*v + 3*h, 14 = 4*v + 3*h. Solve -k - v = -3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.076 and -0.01?\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -28*b + 3347. Let r(j) = -5*j + 669. Calculate 2*m(u) - 11*r(u).\nAnswer: -u - 665","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*w - 262, -2*v - 2*w + 1318 = 3*v. Calculate the highest common factor of 24 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s - 6*s + 4*s - s. Let m be i(-1). Is 6 a factor of 1 - (0 + (-15)\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1947.94 + -1948. Let p = -70 + 492\/7. Let j = 0.1 + -0.2. Sort y, j, p.\nAnswer: j, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a decade in years?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-6))\/(-4)*(-63)\/(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + 49. Let m = -18 + 7. Let h = v - m. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide (-6)\/(-6)*14*7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 129599800 to the nearest 1000000.\nAnswer: 130000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 16. Let w be z(14). Let u(h) be the first derivative of 5*h**4\/2 + h**2 + 27. What is the least common multiple of 6 and u(w)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6*a + 99. Let s be z(16). Solve 2 = -s*r + r, -5*o - 5*r + 5 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16558 + 32988 + 5*l - 16202 to g*l + y and give y.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-38) + (-1680)\/(-798). Solve 0 = -f*g - 13 + 5, 0 = 4*x - 5*g - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20705, -20704, -20703, -20702?\nAnswer: -20701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 6, -4 in descending order.\nAnswer: 6, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1273 - 1271. Let j = -1 + 0.6. Which is the second biggest value? (a) j (b) 0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38462 take away -0.2?\nAnswer: -38461.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.107 less than 23?\nAnswer: 23.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3546082+-515\nAnswer: 3545567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/9 of a week in minutes?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2792069?\nAnswer: 7, 19, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5158*m - 459067. What is l(-89)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (5 - 6) - 2 - (0 + -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -929 = 138*i + 2107 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1743 + -575. Suppose -4*j + 27 - 7 = 0. Suppose -j*v + l = 203. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*876\/(-288)*2?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**4 - 46*c**4 - 3*c**4 + (6 - 6 - c**3)*(2*c - 4*c - c).\nAnswer: -50*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 5:23 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2492 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3343163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -567*h + 66326. Calculate l(117).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 divided by -3995?\nAnswer: -126\/799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 45? (a) -6 (b) -671 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1781.31 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 199 = 207. What is the nearest to -0.1 in -5, -2, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 1\/34216319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -918.4 to the nearest 10.\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13\/1835 + 61211\/11010. Calculate the common denominator of m and -2\/51.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -0.2852 (c) -13 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34802*z - 7 - 34808*z + 12 + 6.\nAnswer: -6*z + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*s**5\/9 - 11474*s**4\/9 - 111482*s**3\/9 + 474778*s**2\/9 - 472160*s\/9 + 120328\/9 = 0. What is s?\nAnswer: -13, 2\/5, 1, 2, 1157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7483087.5 hours in weeks?\nAnswer: 44542.1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + o**2 - 2*o**3 + 14*o + 15*o + 12*o + o**2 + 4 as m + f*o**3 + p*o + j*o**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r - 50. Let n be b(18). Suppose d = n*d. What is l in 0*l**2 + l**5 + d*l + 1\/3*l**3 + 4\/3*l**4 + 0 = 0?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7220870 rounded to the nearest ten thousand?\nAnswer: 7220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s**2 - 6*s + 6. Calculate the least common multiple of y(1) and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 11*x + 13. Let n(g) = -12*g - 14. Let u be (15 + 690\/(-45))\/(2 + 172\/(-84)). What is u*d(s) + 6*n(s)?\nAnswer: 5*s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 13, 31, 57, 91, 133?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12305 - 7357. Let u = 9461 - l. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20252.\nAnswer: 2, 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 7. Let d = 0.049 - 0.499. Let s = d - -0.15. What is the biggest value in t, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 67, 139, 217, 301, 391, 487, 589?\n\"Answer: 3*u**2 + 63*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1712141575.\nAnswer: 5, 68485663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 4:06 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/5861 - 767787\/11722. What is the nearest to n in -4, 1, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13331200220 (base 5) to base 12.\nAnswer: -58648a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 11) to base 9.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/27 - (-24)\/(-36).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hii when three letters picked without replacement from {i: 3, h: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10372443 to the nearest integer?\nAnswer: 3221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5990222 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 0 + (sqrt(17) + 1)*-2 + (sqrt(68) + sqrt(68)*-1)\/sqrt(4) + sqrt(272) + 1)*1)**2.\nAnswer: -4*sqrt(17) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26707 = 2183*a - 87831 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -13*j**3 + j**2 - 9*j - 29. Let r(b) = 3*b**3 + 2*b + 7. Calculate 9*r(s) + 2*v(s).\nAnswer: s**3 + 2*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2796, -23156, -78580, -186600, -364748, -630556, -1001556, -1495280?\n\"Answer: -2922*c**3 + 94*c + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -20*y**3 + 6*y**2 - 8. Let t(m) = 7*m**3 - 2*m**2 + 3. Calculate 6*b(z) + 17*t(z).\nAnswer: -z**3 + 2*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 517*l**5\/5 + 204*l**3 + 46. Find the third derivative of b(h) wrt h.\nAnswer: 12408*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/15*362\/(-4). Let w = 61 - f. What is the closest to w in -5, 0.3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(539)*-4 + (4*sqrt(22) + sqrt(22))\/sqrt(2))**2.\nAnswer: -5819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 9*x**2 + 1. Suppose -s - 7 = -p, 14*p - s - 13 = 10*p. Calculate the lowest common multiple of c(1) and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54.1 - 0.4\nAnswer: -54.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 19*i + 7 = 17*i, 0 = 2*h - 4*i + 26 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -46*n**3 + 4*n**2 + 3*n + 1. Is h(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*l - 0. Let z(s) = 4*s + 1 - 3*s + 0*s. Let o be -13*1 - (197 + -206). Let d(p) = -3*p - 2. Determine l*d(j) + o*z(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 4:32 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 + (-2 - -40) + -94 + 40.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + (2\/6)\/(7\/(-21)). Let f be 1*15*h\/(-12). Solve f = -3*r + 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -726.23304 + 829.9933. Let b = h + -103.8. Let a = 0.04 + b. Round a to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 292 - 170. Let y = d + -77. Suppose 10*t = t + y. Solve 2*i + 2*j + 6 = 0, 33 = -t*i - 0*i + 4*j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, t: 2, u: 4, j: 2, d: 1, y: 4}. Give prob of sequence ut.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(0*l**2 + 0*l**2 - 2*l**4) - 1 + 6*l**4 + 1 + l**4 + 3*l**4 - 2*l**4.\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 1 - (1 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4778173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k = -18*k + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000347 rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 10*i**2 + 12. Suppose 4*b + 0*b + 40 = 0. Let p be y(b). Suppose -7*f + p = -3*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 1 + 0*a**4 + 4*a**2 + 0*a - 31\/2*a**3 + 0*a**5 - 2\/21*a**7 + 0*a**6. What is the derivative of t(d) wrt d?\nAnswer: -80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 + 2*b**3 + 3*b**3 + (-2*b + 4*b - 3*b)*(-2*b**2 - b**2 + b**2) - b**3 + 1 - 1 + 226*b**3 - 159*b - 121*b - 224*b**3 + b**2 - 2 + 2 + b**3.\nAnswer: 9*b**3 + b**2 - 280*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 2*j + 8 = 0, 35*v + 3 = 39*v - j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/(-891) - 5\/187?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 6*k**2 + 3*k - 4. Let v be -2 + 0 + -3 - -10. Determine c(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(180))*-3*-2 + 1.\nAnswer: 13 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/7 + (-8)\/(-112) + 1. What is the smallest value in 4, u, -1.2, -0.5?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/1*(-61)\/((-10431)\/418)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 192 * -5.1462\nAnswer: -988.0704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g + 1. Let s(u) = -15*u + 5. Suppose 0 = 5*h - 20*r + 22*r + 20, 2*r = 4*h - 2. Determine h*s(j) + 11*a(j).\nAnswer: -3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 93, 116, 139, 162?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*w - 79*w - 1 = 0. Suppose -j + w = -8. Calculate the remainder when (-4)\/40*18*(-170)\/6 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/2))**(1\/4))**(-14\/11)*(r*r\/(r\/(r*r**3))*r**4)**19 assuming r is positive.\nAnswer: r**(7531\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 814817542?\nAnswer: 2, 7, 11, 5291023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Three letters picked without replacement from {a: 4, j: 10}. What is prob of picking 3 j?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 342405?\nAnswer: 342411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -139*g + 268. Calculate o(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3983, 3926, 3845, 3752, 3659, 3578?\n\"Answer: 2*t**3 - 24*t**2 + t + 4004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405.135um in meters?\nAnswer: 0.001405135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4345 + -4348.918. Let w = -0.082 + n. Which is the fourth smallest value? (a) 1 (b) -3\/2 (c) 0.5 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82669 - -82674.99888. Let n = -6 + y. What is n rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 14 = m + 24, -3 = v - 3*m. Let o(c) = -c**3 - 6*c**2 + 12*c + 2. Calculate the remainder when o(v) is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 2 - (-5 + (3 - -4))) + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k - 7383 + 259905 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 851*u - 152320. Give l(179).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2. Let y(k) be the second derivative of 5*k**3 - 20*k. Determine t(y(z)).\nAnswer: 900*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 0. Let r be 407\/33 - 1\/3. What is the remainder when r*7\/147*(-1 - -15) is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 97*d*t*z**3 - 10*t*z**3 + 11*t*z**2 wrt d?\nAnswer: 97*t*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-414)\/(-12)*8\/6. Let t = l - 26. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -382237227, -764474455, -1146711683, -1528948911?\n\"Answer: -382237228*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70.1311593203 - -867485.6011595703. Let p = u + -867415. Let w = p - 0.47. Round w to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/(3*(-3)\/(-45)) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -48\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1\/10, 0.06876, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7d + -39074?\nAnswer: -38dd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from bggfkgu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n**3 + 3*n**2 + 6*n. Let j(p) be the second derivative of -p**5\/20 - p**4\/12 - p**3\/6 - 17*p. What is -6*j(w) - t(w)?\nAnswer: w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 11*m + 2*m + 1 + 5 - 3. List the prime factors of t(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32 + 35)\/((81\/6)\/(-9)). What is the nearest to v in -68, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5344 divided by -1336.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 3*i = -6*w - 20, 5*w - 3*i = 22 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -541998 - -272998. Round m to the nearest ten thousand.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1563061668?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 819*r - 122537. Determine b(197).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487 is divided by 128?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b. Let z(g) = -13*g + 136*g - 17 + 20 - 3. Determine j(z(m)).\nAnswer: 123*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 + 159. Let z(m) = 6*m**2 + 3*m - 3. Let c be z(-4). Let q be c\/(-12)*8\/(-3). What is the greatest common divisor of q and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 5*o - 2, -n - 2*o = -2*n - 7. Let i be 1\/3 - 8\/n. Suppose 0 = 49*y - 47*y - 8. Solve -l = i*l - y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -906417 - 178.\nAnswer: -906595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14973 divided by -758.\nAnswer: -14973\/758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 1:31 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.07 (c) 98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.48 times -0.5?\nAnswer: -39.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1506115?\nAnswer: 5, 13, 17, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/8 (b) 0.1 (c) -3\/2 (d) 81479\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -148, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a**2 - 2*a**2 + a**2)*(3 + 0 - 1) to the form w*a**2 + x*a + m and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 47417207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -167851.871 to the nearest one hundred.\nAnswer: -167900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, w: 2}. What is prob of picking 2 l and 2 w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 - 13231355?\nAnswer: -13231374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-65)*(-4)\/(-6)*-12\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**2\/c)\/c)\/c**(-1\/9))\/(c**(-1)\/c**(-3))*c\/(c\/c**(-2))*c**(-1)*(c**(-5)\/c)\/(c**(-2\/15)\/c) assuming c is positive.\nAnswer: c**(-439\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -171698037.\nAnswer: 4\/171698037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 8:41 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1382.09007 rounded to the nearest integer?\nAnswer: 1382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*a + 84 + 109, 0 = -5*m - 5. Calculate the greatest common factor of 19 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23058 divided by -189\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 100001101101110111 (base 2) to base 16\nAnswer: 21b77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2419663, 9678668, 21777009, 38714686, 60491699, 87108048?\n\"Answer: 2419668*b**2 + b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o**2 + 12*o**2 - 23*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 978863867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -50*a**2 - 6*a + 5. Let o be j(5). List the prime factors of (8\/5)\/((-10)\/o).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -7. Let g = 481\/6 - 80. Let u = 7 + -6. What is the nearest to u in g, -1\/2, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejjj when four letters picked without replacement from {e: 16, j: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 265137 to the nearest ten thousand.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27504 a multiple of 191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, y: 1, e: 1, h: 2, b: 2, f: 1}. What is prob of sequence qye?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26661718 is divided by 2546.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -11*y**2. Suppose 26*o - 30 + 520 = -9*o. Let x(p) = 32*p**2. Determine o*a(z) - 4*x(z).\nAnswer: 26*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 14, -10.909, 1, -1, 2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111011100 (base 2) to base 15.\nAnswer: 21b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 652831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 360615899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5 + 15 = 0. Let r be c - 1 - (-7599997)\/(-1). What is r rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5527 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2)**(3\/4)\/(k*k**(2\/13)*k**(-1\/10)*k))**(-1\/2) assuming k is positive.\nAnswer: k**(18\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/28)\/((-6)\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*l = -15365 + 2531. Let j = 418 + l. What is the greatest common factor of j and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 9*s - 180. Let j be o(21). Solve a - 4 = -u, -3*a + j = -5*u + 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65862420 divided by -337756\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 - 8367*x**3 - 8347*x**3 + 2869*x + 16715*x**3 as z*x + a*x**2 + c + u*x**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + 0 + (26 - (1 - -36 - (318 - 297)))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 634.5 + -637.5. Let o = 1 + -1. Let s = -15 + 14. What is the nearest to s in -1, z, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225302000 divided by -114950.\nAnswer: -1960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = 12*f - 31*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-8 + 0 + 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1675137?\nAnswer: 3, 41, 13619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*c + 7 = 45*c + q, 0 = 2*c - 3*q - 14 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/604 and -55\/6?\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4) - (-6)\/4. Suppose -9*a + 12*a + 3*g - 735 = 0, 3*a - 740 = 2*g. Let p = -243 + a. Put c, p, 11, 0 in increasing order.\nAnswer: 0, c, p, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 divided by 6?\nAnswer: 47\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13597 bigger than 13577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2 (b) -0.2 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 3 = 28*r. Suppose -11*x + 6*x + 2*l + 4 = r, -2*l = -6. Suppose -5*z + 2 = 5*c + 37, 2 = -2*c. Is x at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1563825 to the nearest integer?\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106104.\nAnswer: 2, 3, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25095.\nAnswer: 3, 5, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxo when three letters picked without replacement from pxoopppg?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9004 to 2 dps.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/15)*(k*k\/(k\/(k*k**(-2\/17))*k))\/k)\/(k**5*k\/((k**(-17)*k)\/k)) assuming k is positive.\nAnswer: k**(-5861\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**8\/1008 - 19*v**7\/315 - 179*v**6\/180 + 29*v**5\/45 + 1159*v**4\/72 + 361*v**3\/9 + 97*v**2 - 1. Let x(i) = 0. Calculate i.\nAnswer: -19, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.18 in -3, 0.06, 0, 1195, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 36 = 7*t. What are the prime factors of 4\/(3\/t*1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckckkkyygyyygb. What is prob of picking 1 y and 1 k?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.4 (c) 2026\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/16)\/(v\/(v*v**1))*v**(-3\/7)\/v**0)**(-22\/3) assuming v is positive.\nAnswer: v**(-781\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -305 (b) -115 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*b**4 + 552*b**3 + 1899*b**2 + 1998*b + 648.\nAnswer: 3*(b + 4)*(b + 6)*(4*b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2200102122211 (base 3) to base 16.\nAnswer: -15c10c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + (28 - (-10 - -69))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**3\/6 + 3*h**2. Let o(j) = -14*j - 11. Let c(x) = 6*g(x) + o(x). Is c(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - -18)\/(22 - (-640)\/(-29))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**5\/150 + s**4\/60 + 2*s**3\/15 + 34*s**2. Suppose z(q) = 0. What is q?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446289 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: Collect the terms in -29845 + 9935 + 9961 + 9949 - 5*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 65 + 48 = 21. What is the third smallest value in -1, -0.1, 4, 2\/3, u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -268 + 267.7. What is the closest to 0 in -4, 8, d, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 210 = r. Let g = 45 + r. Let p = -6.03 + 6. Sort p, -1\/7, g in ascending order.\nAnswer: -1\/7, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 312403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*p = -115. Let f = -314 - -46. Let j = 452 + f. What is the greatest common divisor of j and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 1)\/(-3)*-3. Let g be 3*2\/j - 2. Suppose -x + 37 + 56 = g. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 98\/(-28) - (-2)\/(-8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16638307 take away -32953?\nAnswer: -16605354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11230 + 3?\nAnswer: 11233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -983b7 - 27b?\nAnswer: -98676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 155842169?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 478957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 + 1.22. Let z = y + -0.42017. What is z rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (204 - 3892*z + z**2 + 3894*z + 291)*(-4 + 3 + 4)*(3*z - 2 + 2).\nAnswer: 9*z**3 + 18*z**2 + 4455*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.3226226 * 40.\nAnswer: 172.904904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 6 + 27, 0 = 2*f + 4*g - 613366. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*p - 17*p + 98 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 + 1)*(-2 + 4 - 3) + (1 + 1 - 3)*(-23 - 124 + 41) - 2 + 0 + 4)*(-2*u**3 - 2*u**3 + 0*u**3).\nAnswer: -420*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -15125 divided by -660\nAnswer: 275\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.77553 minutes to seconds.\nAnswer: 1066.5318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9\/275 + 48567\/1433575. Let l = j + 1557823\/750672. Let c = l - 17\/9. Find the common denominator of c and -55\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139240723.\nAnswer: 139240723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 929416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -49435 + -151?\nAnswer: -49586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 14*y + 150. What is o(8)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 4. Let w(k) be the second derivative of j*k**5 - 1\/30*k**6 + k + 0*k**4 + 0*k**2 - 1\/6*k**3 + 0. Find the second derivative of w(t) wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4448791 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 4*z + 13 + z**4 - 15 + 2*z - 3*z**2 + 0*z**4 + 8*z**3 in the form f*z**4 + g*z + d + j*z**3 + i*z**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 8 = 2*u. Suppose -14 = u*n + 6, 0 = 5*m - n - 20. Sort 0, m, -1, -4.\nAnswer: -4, -1, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 1309*z**4\/12 - 4*z**3\/3 + z**2\/2 - z - 13. Is y(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-91)\/(-52)*1\/7. Suppose 5*l + 75 = 2*k, l = 3*l + 6. Suppose 0 = -3*i + 5*z - k, i - 7 = 2*z - 6*z. What is the biggest value in i, o, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 + 39 = -a + 63, 0 = -5*b - 2*a + 18*a + 100 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4546907*q + 0 + 4546912*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(45)\/(sqrt(900)*1).\nAnswer: sqrt(5)\/10 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 13, 3\/2, 5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 8. Let y(h) = -2*h**2 + 5*h + 2. Let x be y(4). Let s be p(x). Put 0.4, s, 1\/3 in ascending order.\nAnswer: s, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -36*u + 4. Let j be l(-2). Suppose -13*a = -15*a + j. What are the prime factors of a?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43967702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from {o: 1, n: 1, g: 1, f: 1, z: 2, u: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -30, 75, -4\/7, 1\/2?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - m - 4 = 0, 0 = -4*x + m + 1 + 21. Suppose -6 = -x*y + 4*y. Solve y*i = 3, -4*i + 4 = -p + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2. Suppose 4*l + i*l = 44. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -15.05?\nAnswer: 45.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + -25 + 205 + -157?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -42, 10, -3, -5\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5387360 and 75680?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -45*q**2 - 3956*q + 40. Let k(i) = -8*i**2 - 660*i + 7. Calculate 34*k(n) - 6*v(n).\nAnswer: -2*n**2 + 1296*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -946\/345 + 60\/23. Which is the biggest value? (a) m (b) -3 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5581.68 - -5676. Round v to 0 decimal places.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1440 (base 9) to base 4\nAnswer: 101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3308 - 797. Suppose 3*b - v = -u, 2*b - 1089 - 584 = -u. Let w = b - 297. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 81\/4 of a litre?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -11, 4, 3\/8, -1\/41?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5c - -1fb1?\nAnswer: 200d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t + 3 = -54 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/(-42)*(-14)\/(-4). Let p be (0 - -2)\/y*3. Solve p*m - 6*m - 9 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1179, 1176, 1173?\n\"Answer: -3*u + 1182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 5:05 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -13*w. Let s(v) = -42*v**2 + 36. Let c(i) = -6*i**2 + 5. Let k(f) = 36*c(f) - 5*s(f). What is r(k(j))?\nAnswer: 78*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + 1006000?\nAnswer: 1005660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 277, 653, 1037, 1429, 1829, 2237, 2653?\n\"Answer: 4*v**2 + 364*v - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {a: 3, c: 5, q: 1, r: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 = 26*w - 99*w. Sort 0, w, -413 in increasing order.\nAnswer: -413, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1374, -5616, -12680, -22566, -35274, -50804, -69156?\n\"Answer: -1411*i**2 - 9*i + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12328 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: Is 33634535903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6716.1 - 6289. Let m = x - 66.1. Let a = 361.000153 - m. What is a rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 25*k - 127. Let u be l(9). Find the first derivative of u*h**4 - 17 + 69 + 57 + 23 + 4*h + 2*h wrt h.\nAnswer: 68*h**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 695.\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 3*y**2 + y + 1. Let o(w) = -w - 5. Let k be o(-3). Let b be j(k). Which is greater: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 * -1.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/4 + (-812)\/232\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94.9 + 94.4. What is the closest to 1 in -2\/15, -0.08, f, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -18. Suppose -183 = 10*g - 453. Let d be (-5)\/5 + g\/24 + 1. Which is bigger: d or v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**2 - 2*n - 1. Let g = 75 - 41. Let d be (-141)\/(-329) - (-1 - g\/(-14)). Let p(a) = -a**3 - 1. Determine d*c(t) + p(t).\nAnswer: -t**3 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (900\/30)\/(-30)*7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 579538.1ng in micrograms?\nAnswer: 579.5381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11417562 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14495 and 30997.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -441*j = -438*j - 999. Is 31 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**3*r*r*(r*(r**(-1)\/r)\/r)\/r*(r**(-1)*r)**(22\/7) assuming r is positive.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(-4 + 1 + 2)*(-15*w - 5*w + 6*w)*(3*w - 3*w - 2*w).\nAnswer: 56*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 + (-470)\/(-264) + 2\/8 and (37\/(-14))\/((-21)\/(-14)).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2555387017?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 z, and 1 g when three letters picked without replacement from gizzkgzgkzg?\nAnswer: 32\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 11. Give g(14).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 9. Let y be v(12). Let q(b) = 9*b - 19. List the prime factors of q(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/130242 and -173\/1176?\nAnswer: 520968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 129, 343, 643?\nAnswer: 1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1770 divided by 1770\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + f + 13500. Let x be 180\/((-9003)\/f - 2). Round x to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 5*u - 5 = 4*n, 0 = -5*n. Let p(k) = 4 - 1 - 3 - 1 + 17*k. Is p(u) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*b**(1\/3)*b*b)\/b))**10*b**(-2\/7)*b**(-1\/2)\/b assuming b is positive.\nAnswer: b**(-635\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 7*s**2 + 9 - s**3 + 0*s + 7*s. Let d be t(8). Let j(x) = -x - 1. Let v be j(d). What is the highest common divisor of 42 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-100)\/(-6))\/((20\/12)\/5). Let v be (a\/20)\/((-1)\/(-2)). Solve -4*y - v*z + 4 = -3, -5*y - 3*z = -12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pnoopppdoooi.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2895 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.79 - -82.09. Let t = 23.3 - k. Are 1 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 a when four letters picked without replacement from {x: 2, a: 8}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -6*o + 4. Suppose 0 = -z + x - 7, 2*z - 5*x + 3 + 20 = 0. What are the prime factors of p(z)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200 - 3113033?\nAnswer: -3112233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -318*t + 315*t + 567. Calculate the highest common divisor of 18 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p**1\/p)\/p))\/p)**(-12)\/(p\/(p**0\/p))**41*p*p\/p**(-2)*p\/(p*p*p**(-1\/5)*p)*p**(-4)\/(p\/p**(-7)) assuming p is positive.\nAnswer: p**(-519\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2693 + 2695. Solve 3*z = 4*s - 32, 4*z + m*s + s + 1 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/2*(-48)\/72?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-90)*4\/((-16)\/54)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**4\/48 + q**3\/8 + q**2\/4 + 2*q - 2. Let w(o) be the first derivative of i(o). Let w(t) = 0. Calculate t.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 166222 + 272?\nAnswer: 166514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*g + 5 = 0, 2*t + 0*t - 35 = 5*g. Solve t*h = 8*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 19. Let b be j(17). Let s be 19 + -16 - (0 - b). Factor -10 - 417*c**3 - 291*c**2 + 0*c**2 - 285*c**4 - 2 - 96*c - 75*c**s.\nAnswer: -3*(c + 1)**3*(5*c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6033*d = 6151*d + 1652 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 6*r, 3*u = -r - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 3*m - 12, 3*l - 4*m = -4 + 2. Let g(k) = -3*k + 3*k + l*k. Let v(q) = 2*q**2. Calculate g(v(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krr when three letters picked without replacement from krrkmkkkfmpkfpmkfr.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**4 - 2*m**4 - m**4 + (3*m - 1 + 1)*(-2 + m**2 + 2)*(-4*m + 2*m - 2*m) + 30*m**4 + 2*m**3 + 11*m - 18538 + 18538.\nAnswer: 19*m**4 + 2*m**3 + 11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 72 = -13*w. Calculate the common denominator of -14\/9 and 49\/4 + w\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0095442027 to 5 decimal places.\nAnswer: -0.00954","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2415462 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7705873 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12*(-23)\/(1012\/(-23925))?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 40 = -z - z, -5*z = 2*c - 42. Let b be 1\/15 - z\/15. Let m be (32\/2)\/(-4) - -7. What is the closest to 1 in b, -2\/7, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-25)*5)\/(2\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 170*p + 3. Let q be x(6). List the prime factors of (-2)\/8 - q\/(-12).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6714 is divided by 140.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.01, -2, 5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 11:21 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 897169 is divided by 112146.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**4\/6 + 4866*a. Let o(v) = -1445*v**2. Determine c(o(q)).\nAnswer: -4176050*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/277565 and 16\/10269905.\nAnswer: 10269905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/19 (b) -2.2 (c) 123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/((z*z\/(z*z**(7\/6))*z)\/z)))\/(((z\/z**(-7\/2))\/z)\/z))\/(z**9*z)**50 assuming z is positive.\nAnswer: z**(-1508\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*y**2 - y**2 - 5*y**2 to w + t*y**2 + m*y and give t.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 708\/15 - (-6)\/(-30) and -73\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*z = -186057 + 178697 for z.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 4:12 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -1506763?\nAnswer: -1506767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(720)*-2*1 + sqrt(720)*2 + 3)*5*-2)**2.\nAnswer: 6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -12)\/(4\/4). Let c(m) = 8 + 25*m - 2 - m**2 - 3*m. Is c(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-105*b**2 - 40*b**2 + 13*b**2)*(3 + 2*b**2 - 3) + b**3 - 2*b**4 - b**3 as s + f*b + z*b**2 + u*b**4 + l*b**3 and give u.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxmmxx. What is prob of picking 1 x and 1 m?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mggmmsmgggmmssmggm. What is prob of picking 1 m and 1 g?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006105 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16037 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -93 and 16.\nAnswer: -1488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - (sqrt(1200)*2 - sqrt(12)) - (sqrt(12) + (-2*sqrt(1200) - sqrt(12))))\/((sqrt(5184)*2)\/sqrt(9)*-4).\nAnswer: -sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 87116.969*2\nAnswer: 174233.938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -69*d**5\/4 - d**4\/12 - d**3\/3 - d**2\/2 + d. Let q be n(-1). Let v = -230 + q. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = 17*f. Solve 5*a - 12 - 13 = f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/3*((-9)\/(-12))\/3.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**17*p)**(6\/5)*p**(-14)*p**26)**(-6\/5) assuming p is positive.\nAnswer: p**(-1008\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 560, 692, 824?\n\"Answer: 132*v + 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*o = -4. Let z be 12\/18*o*-3. What is the tens digit of (-11)\/2*z - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3) + (-32)\/(-12) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.38 - 0.02. Let r = m - -0.4. Let j = 0 + r. Which is the second biggest value? (a) j (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnnp when four letters picked without replacement from {n: 2, p: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1427, 2870, 4329, 5804, 7295, 8802?\nAnswer: 10325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 382 + -686. What is the remainder when ((-6)\/(-4))\/((-12)\/x) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6833305 to the power of 1\/2, to the nearest integer?\nAnswer: 2614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -7*d - 3 + 5*d - 11*d + 0. Let a = -6 + 3. Let y(i) = -352*i - 80. Let m(z) = a*y(z) + 80*s(z). Let w(q) = -2*q**2. Determine m(w(h)).\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 495 and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 93530.246 and -476.88.\nAnswer: 93053.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -539 and -539 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134528?\nAnswer: 2, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(288))*-4 + 5 - ((sqrt(288) - -1*(-2 + sqrt(288))) + -2)) + 5)**2.\nAnswer: -3744*sqrt(2) + 11044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 + -171. Let l = 229 + w. Let a = 5107\/14 - 365. Sort -0.1, l, -2, a in decreasing order.\nAnswer: -0.1, a, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10743 + -10742. Sort 0, 7, -3, -2, f.\nAnswer: -3, -2, 0, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - z + 1)*(-8*z**3 - 7*z**3 + 3*z**3)*(2*z + 4*z - 4*z)*(-2 + 5 + 0)*(13 - 5 - 5).\nAnswer: 216*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.274934 days in weeks?\nAnswer: 1.753562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268 = 4*v + 2*d, v + 3*d - 138 = -v. Does 66 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2114677 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**5\/10 - 49*f**4\/12 + 8*f**3\/3 + 15*f**2\/2 + 217*f. Let u be j(-25). Calculate the highest common factor of u and 300.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100.1 + -100.2. Let h = -4.449 + 4.5. Which is bigger: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -y + 3*v - 102, -5*v = -2*y - 236. Let w = -369 + 546. Let t = y + w. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 18 = -4*c. Suppose -15 - 5 = -c*m. Suppose -45 - 115 = -m*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 5 (b) 1\/1560 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 47571.8 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -1, -0.678, 0.2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 80?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38 and 2.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 - -5. Let i = j + 53. Let m(w) = -w + 55. Is m(i) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 451 + -454. Let f = 37 - 32. Which is the nearest to 0.4? (a) f (b) z (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20a63 (base 14) to base 5.\nAnswer: 10011004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 546\/(-1274) + ((-328)\/(-112) - 2). Factor 0 + 1\/2*d**2 - 1\/2*d**4 - m*d + 1\/8*d**5 + 3\/8*d**3.\nAnswer: d*(d - 2)**2*(d - 1)*(d + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from {n: 1, b: 3, i: 11}.\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 6 = -2*p - 1, 18 = -2*i + 2*p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mrmmpppmrbpjrm. Give prob of picking 1 b, 2 p, and 1 m.\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -84*a + 79*a - 2*s + 15169, -9 = 3*s. Is 70 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12457\/3172 - -1\/244. Find the common denominator of r and 51\/5.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-506438)\/(-25182) - (16\/(-18) - 0).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 13*u. Let l(o) = -3*o. Suppose -15 = 5*m - 2*m. Let z be l(m). Solve u = -2*b - b - z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -15*k**2 - 385*k + 115. What is g(-26)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 61c8 - 0?\nAnswer: 61c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4080*v = -4080*v + f - 2, 2*v + 10 = 5*f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 4 = -7*a. Solve a*k = -1 - 15 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*a - 166 + 120 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.41 + 0.03. Let l = j + -0.34. Which is the nearest to 4? (a) 5 (b) l (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uduv when four letters picked without replacement from {k: 1, v: 6, u: 2, d: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 600 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + -1 + sqrt(208)*2 + (-4*sqrt(208)*2 - sqrt(208)) - (-1 + sqrt(208) + -2 + -2))**2*-3.\nAnswer: -30624 + 672*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 765*f**2 - 1524*f - 12.\nAnswer: 3*(f - 2)*(255*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**4 + 810*l**3 + 57792*l**2 + 417366*l + 360381 = 0.\nAnswer: -131, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 10*k**2 - 12*k - 13. Let a be i(-9). Suppose -4*y - a = -s - 2*y, 3*s - 7 = -y. Let n(l) = l + 2. Let w be n(-2). Solve -s*o = -4 - w for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 301*f**2 - 596*f**2 + 87*f**3 + 2*f - 1 + 295*f**2 as q*f**3 + h + o*f**2 + t*f and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -1141*x**5\/60 + 167*x**4\/6 - 777*x**2. Find the second derivative of j(s) wrt s.\nAnswer: -2282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k - 4*k - 2*k + 34*k**2.\nAnswer: 34*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -v**2\/2 + 14*v - 23. Let n be j(2). Find the third derivative of -25*i**2 - 16*i**2 + 23*i**4 + n*i**2 + i**4 wrt i.\nAnswer: 576*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, j: 1, t: 1, k: 2, l: 3, i: 3}. Give prob of picking 1 k and 2 s.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -25. Calculate the lowest common multiple of h and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 21. Let o(y) = -9*y + 39. Let c be o(6). Let l = c + p. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - n - 1. Suppose -3*q + 30 = -5*y, -5*q + 3*y - 20 = -54. Suppose -u - q = 4*u. Let z be b(u). Is z > 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3387 divided by -6.\nAnswer: -1129\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -1\/5 (c) -2 (d) -5 (e) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 372 (base 10) to base 16.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -f + 6*f. Let q = 5 - f. Suppose -2*z - q = -2. Put -1\/9, z, -4 in decreasing order.\nAnswer: -1\/9, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 73, 4, -2, -5, 5, 24 in increasing order.\nAnswer: -5, -2, 4, 5, 24, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -70*i - 28751 - 20949. Let b = -694 - i. Calculate the smallest common multiple of b and 116.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 38.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 0, -3, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**2*x - 205*s**2 + s*x + 333 wrt s.\nAnswer: -4*x - 410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205801.\nAnswer: 131, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 4*o + 5*v - 5, 10 = o + v. Suppose -o*m + 14 = -6. Suppose -m*p = -4, 71 = 4*b - 3*b - 3*p. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x + 15. Determine c(-8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 248298, 248300, 248302, 248304, 248306?\nAnswer: 248308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18858 and 20?\nAnswer: 188580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -1639*r**7\/7 + 79*r**3\/3 + r**2 + 2*r - 3576. What is the third derivative of a(h) wrt h?\nAnswer: -196680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69 + 124. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, r: 1, p: 1, v: 2}. Give prob of picking 1 r, 1 p, and 2 v.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/(243\/1800630*-190)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19582839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*u - 2*j, 0 = 2*j + 4 - 2. Suppose 7*m - u*m = 48. Solve 4*i = -0*i - 4*p + m, 5*i + p = 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 332190?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (4 - (-4 + 7))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.54 - -1.54. Let r = -1\/412 + -1229\/2884. Let p = -0.2 - -3.2. What is the closest to 0.2 in r, h, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 55 = -22*b. Let f(c) = -24*c + 57. Let l be f(b). What is the nearest to 2 in l, 2, 1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.2055 to the nearest integer.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -3. Let b be 1 - (-1)\/(2\/(-4)). What is the remainder when b\/3 - (-74)\/6 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -480657 and -46.\nAnswer: 22110222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**2 + 6*a + 6. Calculate the remainder when w(-5) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 747926149.\nAnswer: 747926149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 172 - 173. What is the nearest to f in -1\/2, 1\/7, 0.02?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 3*w + 4. Let m be d(-3). Suppose 0 = u - 2*u - m. List the prime factors of u + 5 + (-1 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -18.7. Let t = 0 + -0.2. What is the third biggest value in l, t, 2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 176 - 80. Suppose -p = -4*p + 5*o + 73, 5*p - 5*o = 125. Let j = n - p. List the prime factors of j.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t**2*x**3*z**2 - 2579*t**2*x*z**3 - 9*t**2*x - 10*t**2*z**2 - 674*x**3*z**3 + 4*x**3 + x*z - 1211*z**2 wrt z.\nAnswer: -15474*t**2*x - 4044*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180 by -90.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -249, -575, -901?\n\"Answer: -326*a + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 875, 880, 885, 890?\nAnswer: 895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**4 - 12*c**3 - 40*c**2 - 6. Let s(t) = 3*t**4 + 10*t**3 + 42*t**2 + 7. Let x(r) = -7*i(r) - 6*s(r). Factor x(q).\nAnswer: -4*q**2*(q - 7)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -q - 1. Which is smaller: 2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -24. Let a be (-1)\/(-2)*-1*z. Let l(n) = -n - 2. Let r be l(3). Sort -2, a, r in decreasing order.\nAnswer: -2, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 7 + -5 - 1) + -8 + 2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53960434 to the nearest integer?\nAnswer: 7346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2135 + -532093107?\nAnswer: -532095242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*q = 2*p + 23*q - 25, p - 2*q = 14. Let i(f) = 6*f**2 - f - 1. Let j be i(-2). Suppose h = p + j. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 723503205?\nAnswer: 3, 5, 5359283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2. Let p(s) = 5*s**2. Let d = -1766 + 1767. Let j = -2 - 0. Calculate d*p(a) + j*y(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.047 rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than 169\/50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*p - 160 = -2 - 36. Sort 38, 3, -4, 5, p in decreasing order.\nAnswer: 38, 5, 3, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 870244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 13117003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87\/154 + 5\/77. Let l = 28 + -57. Let w = 29.2 + l. What is the third smallest value in w, r, 2, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -41, 6, -3 in increasing order.\nAnswer: -41, -3, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5 - 133620*h**4 - 2231654426*h**3 + 4463709720*h**2 - 2231921672*h = 0.\nAnswer: -33406, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 a factor of 86748964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 186, 175, 164, 153, 142, 131?\n\"Answer: -11*c + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*f - 3858 = 451*f + 3562 - 1216 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1720 and 1060?\nAnswer: 91160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0341 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 5*m = 15, 10*m - 60 = 4*s - 114 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/7 in 4, -1183, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -1.799.\nAnswer: -1.699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + -3 + 3 + -56. Let g be 25\/(-2)*40\/d. Factor 311 + 5*h**3 - 311 + g*h + 15*h**2.\nAnswer: 5*h*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*-8*4\/(-48).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (-1 + -2 - -5). Put -0.4, -0.03, y in ascending order.\nAnswer: y, -0.4, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-3)*(-5)\/(-20).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6*i + 8 = 0. Let m(v) = 3*v + 9. Let f be m(-6). Let h = i - f. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.4329061\nAnswer: -0.04329061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -490 - -492. Is a greater than or equal to 50\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (297 + 795 + 5)*(-b - 2*b**2 + b).\nAnswer: -2194*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -838, -1674, -2510, -3346, -4182, -5018?\nAnswer: -5854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -7*l + 235. Determine a(30).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*r + 3 = -376*r + 129*r + 117*r + 4*n, 0 = r - n - 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(18\/8))\/((-2)\/(-6)). Solve -4*r + 3*z = -13 - 22, 5*z + 5 = -y*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*l + 2*i, 5*i = 8*l - 0*i - 22 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 85194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -25 and -472\/19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 976*k**6\/15 + k**4\/6 + k**3\/6 + 2203*k**2 + 71*k - 32. What is the second derivative of g(d) wrt d?\nAnswer: 23424*d**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wync when four letters picked without replacement from ccowcnymnwmy.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 0 + (5 - 4 + 0)*(1 + 4 - 3))*(1 - 1 + 5*n)*(-188 + 781 - 154) as h + c*n and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/20*-4*(-2500)\/120*8\/12?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1024 is divided by 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 12:02 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 24 (b) 5 (c) 2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-16) + 1)\/(136\/(-1088))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 10*g**2 + 61*g - 60. List the prime factors of j(-22).\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 21*p**2 - 25*p - 15. What are the prime factors of q(18)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -2. Let b be 2\/6*w\/(-18). What is the third smallest value in b, -0.4, 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -913902, -1827806, -2741710?\n\"Answer: -913904*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87233.58 millennia to months.\nAnswer: 1046802960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 i, and 1 p when three letters picked without replacement from zrpyiyp?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 7*d - 10*d - 13, 5*d = -z - 17. Calculate the smallest common multiple of 1 + 26 + 8\/z and (1 - 2)\/((-3)\/3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -12. Let k = 6 - p. Suppose k*n + n = 1119. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3fce (base 16) in base 15?\nAnswer: -4c8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 1466023.\nAnswer: -1466022.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442684592.\nAnswer: 2, 7, 353, 11197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.05, 46, 1, -2, -11\/2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12201211100 + 202?\nAnswer: -12201210121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 40*i - 97. Let a be t(37). Suppose -10*u - 4200 = -a*u + 4*h, -4*u + 4182 = 2*h. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59983 and 362824?\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -1918*i**5\/5 - 2377*i**3\/3 + 1967. Find the third derivative of r(m) wrt m.\nAnswer: -46032*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6\/(a\/a**(-1\/10)))\/(a\/a**2*a\/(a*a*a**(-2\/5))) assuming a is positive.\nAnswer: a**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 1, d: 1, f: 2, i: 1, t: 1}. What is prob of sequence tb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35.9 - 35.673. Let z = x + -2.227. What is the second smallest value in -5, -0.3, 75, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*s = -25*s - 759 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 14 = -k, -401 = -5*i - 371. Factor 0*j + 0 + 5\/2*j**k.\nAnswer: 5*j**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -124755 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 at most as big as -2008\/75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-64)\/(-12) - (-4)\/6. Suppose g = k + k. Suppose -k*f + 63 = -0. What is the remainder when f is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333112.\nAnswer: 2, 13, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -12*y + 1\/6*y**4 + 0 + 1\/3*y**3 - 5\/2*y**2. Let b be a(-3). Solve -l + 5*k + b = 0, -5*k - 19 + 4 = -5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 6, 24, 82, 198, 390?\nAnswer: 676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -21. Let f = -6.3 + -1.7. Let b = 7.7 + f. Put -1, p, b in descending order.\nAnswer: p, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -10. Suppose -2*g - 3*s = -5, -5*g - 3*s - 2*s = -25. Let b = -39\/4 + g. Is r bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62147 less than 238591.261?\nAnswer: 176444.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34904830, 34904829, 34904828, 34904827, 34904826?\nAnswer: 34904825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1176 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 139103947.\nAnswer: 6\/139103947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405*m - 630 + 504*m - 168 + 37 - 396.\nAnswer: 99*m - 1157","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1056 times 2\nAnswer: -2112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 - 15 = 5*q. Let h = q - 14. Let o(m) = -m**2 - 1. Let s(a) = -5*a**2 - 2*a - 4. Give h*o(n) + s(n).\nAnswer: -2*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2766 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/((h*h**(-1\/4))\/h))\/h))\/h**(-15)*h**(-8)*h*h**(-7)*h*h)**25 assuming h is positive.\nAnswer: h**(375\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/8)\/(-10*(-60)\/(-4080)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13325 + -13325.29265. Round q to 2 decimal places.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101000011001 (base 2) to base 10\nAnswer: 2585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 33 = 2*l, 5*n - 43 = -5*l + 2. Suppose -5*u + l = -1. Suppose u*t = -3*g + 39, -3*g + 2*g + 18 = -4*t. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*i - 2, 3*i + 12 = 4*z + i. Let h(d) be the third derivative of -d**6\/120 + d**5\/15 - d**4\/12 - 5*d**2. Determine h(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 75, 76, 69, 48, 7, -60?\n\"Answer: -y**3 + 2*y**2 + 2*y + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 984 and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*(22\/8 - 2). Let t = 10 + -4. Let d be 9\/42*8\/t. What is the closest to -0.1 in 0.2, m, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**3 - 8*p**3 + 5*p**3 - 4 to the form w*p + g*p**2 + t + i*p**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7047528661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71 + -61. Let s be (-1 + 3 - 1) + 79. Calculate the greatest common divisor of s and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38)\/sqrt(2) + 2)*5)**2.\nAnswer: 100*sqrt(19) + 575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -2 - (6 - 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from geqgfwg. Give prob of picking 1 w, 1 e, and 1 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1367210 is divided by 27.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -56*b. Let m(h) = -7*h**2 - 235*h + 6. What is s(m(t))?\nAnswer: 392*t**2 + 13160*t - 336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m. Does 9 divide p(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -269 (b) -9 (c) 3 (d) -8 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 6*j**2 + 6*j + 17. Does 12 divide z(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 648*c**3*g**3 + c**2*g**3 - 12*c**2*g**2 wrt c?\nAnswer: 3888*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*c - 1676, c + 3513 = h + 2952. Calculate the greatest common divisor of h and 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2*(-215)\/(-2))\/(-4 + 5). Let j = -99 - x. What is the tens digit of ((-3 - -3) + j)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/110)\/((-21)\/(-77)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98495 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: Suppose -47 - 38 = -5*t. Suppose -7*x + 11 = -t. Suppose -9*p + x*p + 5*h + 75 = 0, 33 = 2*p + h. Calculate the greatest common divisor of 64 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*j - 9 = 0, 2*z + 0*j + j = -21. List the prime factors of (10\/8)\/((-2)\/z).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + -1 + -5 + -1005 + 1026?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 311*v + 274*v + 289*v - 932*v + 3132 for v.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 925 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41443625?\nAnswer: 5, 331549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 2*s + 1 + 3, 3 = 4*s + 3*m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/((-14994)\/364) + -2 - 13\/(273\/(-18)).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1230992310.98003 + 1230951298. Let h = n - -41014. Let k = 1.02 - h. Round k to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -97*l**3 + 5*l**2 + 26*l + 33. What is the tens digit of u(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 95, -4, 0, -88 in descending order.\nAnswer: 95, 0, -4, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 10 + (-10 - (9 - -6 - 7))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*w - 175*w = -29*w - 4513212. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/3 (b) 66 (c) 5 (d) -0.09 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2295940433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4206 - (-15 + 8)) + (5 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71062010 to the nearest integer?\nAnswer: 8430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is cefe (base 16) in base 8?\nAnswer: 147376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17048*q + 17048*q + 2413*q**2 to m*q**2 + r*q + c and give m.\nAnswer: 2413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 4*l - 4. Let p be w(-5). Suppose -2*n = 5*u - 27, -u + n + 3 = -p. Let a = u - 6. Is 4\/11 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 3*t + 31. Suppose 93 = -5*v - 447. Let j = v + 122. Is 45 a factor of d(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 5*b**4 - 20*b**3 + 15*b**2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + ((-11254)\/(-85) - 2\/5). Suppose -137*p = -v*p - 565. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20\/161 + 221\/483. What is the fourth smallest value in 0.3, l, -2, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 + m - 1. Let i(q) = 1180*q**2 - 1003*q + 1003. Determine 2*i(b) + 2006*j(b).\nAnswer: -1652*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 572625 and 43.12.\nAnswer: 572668.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 1)*(3 + 1 - 3) + (3 + 1 - 5)*(16 - 20 + 10))*(-4*u**2 + 3*u**2 - u**2).\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(5) - 6*sqrt(80)) + 3.\nAnswer: -sqrt(19)\/23 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4080 + -3432. Does 24 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.411 - -5.8.\nAnswer: 20.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3, 3\/5, -0.3, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8113540546 to the power of 1\/5, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -84*i**2 - 258*i + 79*i**2 + 1134*i. Let h(s) = s**2. Calculate q(h(r)).\nAnswer: -5*r**4 + 876*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 936903 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 e when four letters picked without replacement from {d: 3, e: 7, u: 1, y: 5}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 418860679?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 12*l**2 + 5*l + 66. Is u(15) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 2 - (-56)\/29. Suppose -i + 3*j - 6 = 0, -4*i + 4*j = 7*j + 9. What is the second biggest value in i, c, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 times 0.35899\nAnswer: 6.10283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 50*c. Let s(i) = 3*i**2 - 6*i. What is s(o(u))?\nAnswer: 7500*u**2 - 300*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*b + 4*z + 144, -152 = 5*b - 2*z. Let v be (6\/((-6)\/(-7)))\/(-1). Let d = v - b. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.023 from 3398613.\nAnswer: 3398613.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i**3 - 2*i**2 + 23*i. Let d(m) = 5*m**3 - 2*m**2 + 24*m. Calculate 5*d(g) - 6*t(g).\nAnswer: g**3 + 2*g**2 - 18*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 785, 1557, 2329, 3101, 3873, 4645?\nAnswer: 5417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f**2 + 5*f**2 + f**5 + (11 + 35*f - 26*f - 7)*(-1 + 1 - f**4).\nAnswer: -8*f**5 - 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/3)*t**(-2\/3))\/((t\/(t\/t**(-2\/45)))\/t*t*t**(-1\/2)*t))**(-3\/22) assuming t is positive.\nAnswer: t**(71\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 69501, 278009, 625523, 1112043, 1737569, 2502101, 3405639?\n\"Answer: 69503*c**2 - c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -346, -1414, -3178, -5626, -8746?\nAnswer: -12526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 + 1)\/(4\/2). Suppose s = c - 9. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 8*t + 20. Suppose 8 = t*i - 0. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(252) - sqrt(252)*1 - (2 + (2 + sqrt(7) + sqrt(7))**2)) + (-1 + sqrt(448))*5 + 2 + (sqrt(448) - -2*sqrt(448))**2.\nAnswer: 32*sqrt(7) + 3999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -366978714 <= -366978714?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -4. Sort 1, w, 6 in ascending order.\nAnswer: w, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m - 7. Let u be x(-4). What is the highest common divisor of u and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 751, 961, 1171, 1381?\nAnswer: 1591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 1) + 10 - 5 - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(80)*2)**2 + (1 + sqrt(605) - sqrt(5))**2 + (sqrt(500) + 0)**2 + sqrt(5).\nAnswer: 21*sqrt(5) + 1641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 42481?\nAnswer: 2\/42481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**5\/20 + 11*o**4\/6 + 10*o**3\/3 - 29*o**2\/2 - 172*o. Calculate m(-21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -245710 (base 8) in base 4?\nAnswer: -110233020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 - 110?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -0.3, -13, -0.04?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 192 - 2375*o + 2376*o + 10. Does 17 divide r(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**3 - n + 1. Let d = 3 - 2. Let o(j) = j**3 - j**2 + 1. Let x be o(d). What is the units digit of b(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 11. Let o be 6 - (2\/y - 1). Let m = -8 + o. Which is greater: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dgvvvdvvvgvvvggvgvvv. What is prob of picking 1 g and 2 d?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*p + 1232. What are the prime factors of p?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 4*g - 3*k, 57*k = -g + 60*k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/14*1*6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/2 + 52\/(-8). Which is smaller: j or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2820 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1774, 1750, 1726, 1702?\n\"Answer: -24*o + 1798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 713*y**2 - 1452*y**2 + 736*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1890*d**3 + 93944*d**2 + 260144508*d?\nAnswer: 11340*d + 187888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**2 - 2*t**2 + 15*t**3 - 6*t**2 + 4*t**2.\nAnswer: 15*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 + 1696*w**3 - 1692*w**3 - 5*w**2.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 2201?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 15 = 38*u - 33*u, 5*q - 12 = 4*u for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 4. Let v be (94\/(-3))\/((-2)\/j). Suppose 3*m = -m + 2*s + 118, m + 3*s = v. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -50547, -59814, -69075, -78330?\n\"Answer: 3*j**2 - 9276*j - 41274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 1561.\nAnswer: -4\/1561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**2 + 3*h - 1. Let i(v) be the third derivative of -v**5\/60 - v**3\/6 + 27*v**2 + v. Give 2*i(c) - u(c).\nAnswer: 2*c**2 - 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4096 + -4098. Let m = 20 + -20. Which is the closest to -3\/13? (a) -5 (b) m (c) 0.3 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 19*a = -3. Calculate the highest common divisor of a and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38654*k**6 - 43667*k**2 wrt k?\nAnswer: -4638480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 5*n + 5. Let p(a) = a**3 + 15*a**2 - 1. Let b be p(-15). Let x(r) = r - 1. Calculate b*t(i) - 5*x(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*m - 9. Let v(a) = a**3 - 3*a**2 - a. Let y be v(3). Let c = 5 + y. Sort m, -1, c.\nAnswer: -1, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8546, -16963, -25250, -33407, -41434, -49331, -57098?\n\"Answer: 65*i**2 - 8612*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 4*y**4 + 1\/2*y**2 + y + 69 + 1\/3*y**3. What is p(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + 2*c - 4*c)*(3*c**3 - 3*c**3 - c**4) - c**5 + 0*c**5 - c**5 + 5*c**5 - 8*c**5 + 1 + 0.\nAnswer: -7*c**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/9 and ((2\/12)\/(15\/480))\/(100\/36).\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12099 is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 - 17*g**2 + 40*g + 300.\nAnswer: (g - 10)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 896 + -897. Let j(p) = -2*p. Let q be j(1). Sort 3, 4, d, q in descending order.\nAnswer: 4, 3, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 662 - 607. Suppose 4*w + 26 = -2*q, -12*q + 15*q = 2*w - g. Let u(i) = -i**3 - 18*i**2 - 18*i - 13. Give u(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -31. Let g(b) = b**3 + b**2 + 46*b + 60. Let l = -33 - -38. Let t(n) = -45*n - 60. Let z(a) = l*g(a) + y*t(a). Factor z(v).\nAnswer: 5*(v - 3)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-54)\/12)\/((-1)\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -541084*s**2 + 2*s + 8. Let n(h) = 26*h. Calculate f(n(r)).\nAnswer: -365772784*r**2 + 52*r + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27*q + 16 + 4 + 7*q wrt q.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*j - 125*j - 90*j.\nAnswer: -401*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 36. What is the smallest common multiple of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 10040?\nAnswer: 10040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30061*g**2 + 13889.\nAnswer: -60122*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 17 - -7) + -9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50530000 to the nearest one million.\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 43666e (base 15) in base 11?\nAnswer: 18a3593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -4 (c) 5 (d) -1\/6 (e) 29\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*k**2 + 105*k**2 - 8*k**2 - 34*k**2 - 36*k**2 - 34*k**2.\nAnswer: -45*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-70)\/(-3) + (-1)\/3 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3731912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*i*k**3 - 298901192*i*k - 36949*k**4 wrt k?\nAnswer: 72*i*k - 443388*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -439 - 446 - 445 - 444 - 6*v + 2657 - 452 - 430.\nAnswer: -6*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -119588 divided by -29897\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11601613121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137859 is divided by 131?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/21 and -79\/222.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-4165)\/(-14) + -7 + 11\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (-1 + 6\/(-2)). Suppose 2*k - 7 - d = 0. What is the common denominator of 15\/11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z = -8. Let u = z + 5. Let v be (-21)\/(-18) + u\/(-2). Which is the third biggest value? (a) -5 (b) v (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 3. What is the third derivative of 6*u**3 - 2*u**2 + 3*u**2 - 10*u**v wrt u?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k. Suppose -9 = -4*x - t + 6*t, -3*t = 3*x. Let g(p) = -4*p - 4. Let s(f) = x*g(f) - 6*a(f). Let o(y) = -3*y + 5. Calculate -4*o(d) - 5*s(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1366165 + -3.\nAnswer: -1366168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1080 and 14860?\nAnswer: 802440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13653400 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 - f - 1. Let g be a(-1). Suppose 3*v + 48 = -5*d, -30 = 3*d + 5*v + g. Let m = 16 + d. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2345697*y**5 + 8174*y - 4 wrt y.\nAnswer: -46913940*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 464*l**3 + 97*l**3 + 166*l**3 - 11 + 101*l**3 + 98*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 8) in base 6?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(22176\/(-418)) + 4\/9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1299, 5223, 11751, 20877, 32595?\n\"Answer: -i**3 + 1308*i**2 + 7*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -2. Suppose -15 = -a*q - 3*q. What is the second derivative of -q*n + 3*n - 4*n**5 - 3*n wrt n?\nAnswer: -80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18579 is divided by 4644.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - -2 - (5 - -10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 v when three letters picked without replacement from {u: 3, o: 2, v: 6, f: 2}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.039 + -20.961. Let p = v + 19. Let n = -6 - -5.6. What is the third smallest value in p, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122206 (base 8) to base 4\nAnswer: 22102012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 364.3 - 363.3. What is the nearest to q in -1, -16, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/2, 0.4, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((-73 - (-31 + -72)) + (-1 - 0) + 11).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 16 = -12. Let y(l) = -34*l - 1. Let a be y(o). Let m be (-2 - -1)*(a + -13). Calculate the highest common factor of 32 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 3*a**2 - 4*a + 4. Suppose 5 = 3*y - 7. Let t be l(y). Let p = -2 + t. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289 + 339 = 4*l - 4*m, 0 = 5*l - 2*m - 782. Suppose 3*r - 5*r = -l. Calculate the remainder when r is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/(-315))\/((-12)\/(-20))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5097 take away -19328?\nAnswer: 19326.4903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 5:02 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 0.4 (c) -40 (d) 86 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 829 = 4*g - 3*t, -t + 625 = 7*g - 4*g. What is the greatest common factor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**2 - 5*f + 5. Let x(k) = -k**2 - 2*k + 2. Let w(p) = 2*h(p) - 5*x(p). Let j(n) be the third derivative of -n**5\/60 - 2*n**2. Determine w(j(i)).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.5515 litres in millilitres?\nAnswer: 234551.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 131*i + 2. Let l be d(0). Solve 0 = -z + 5 - 0, 4*z = -l*q + 18 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.1 (c) 5 (d) 19\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*y + 3*d + 11, d - 1 = -5*y. Does -150\/143 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4)*-2*3. Suppose -2 - 4 = -c*y. What is the second derivative of -b**y + b + b**2 - b**4 wrt b?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = -2*j + 4*z + 144, -6 = -2*z. What is the remainder when j is divided by 32?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41148 and 9852.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -2*k - 3 + 0*k**2 + 0*k**4 + 0*k**3 + 3\/5*k**5. Differentiate c(h) wrt h.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12803963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -2\/236569, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -751925\nAnswer: -2\/751925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 8*m + 7. Let a be j(7). Suppose -2*c + c + 5*b + 13 = a, -2*c = 5*b + 4. Suppose 9 = c*f, 3 = -s + 4*f - 7. Solve 5*p - s*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*z**3 + z - z)*(0 - 3 + 0).\nAnswer: 45*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -62*x - 23. Let z(g) = 21*g + 8. What is -6*s(v) - 17*z(v)?\nAnswer: 15*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*i**5*y**3 - 21731*i**5 - 3*i**2*y**3 - 2*i**2 - 2091*i - 2*y**3 - 9 wrt i?\nAnswer: -1920*i**2*y**3 - 1303860*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcpgeeecssec. Give prob of picking 1 c and 1 s.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 + -61. Suppose 134 = 3*o - 3*k + v*k, 5*o - 5*k - 200 = 0. What is the greatest common factor of 28 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 42*u. Determine h(1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**15*j))**7\/(j\/(j\/(j\/(j**(-1\/5)*j))))**(-47) assuming j is positive.\nAnswer: j**(-478\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71 + 46. Suppose 0 = -12*s + 10*s + t + 21, 0 = -4*s - 4*t + 72. Calculate the highest common factor of x and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1830\/7 + -261. Let t = -1.114 - 0.886. What is the nearest to 0.5 in -1\/2, i, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(504) + sqrt(504))*1)\/(-5*(sqrt(24)\/(sqrt(3) - (sqrt(3) - sqrt(6)\/sqrt(2) - sqrt(3))) + sqrt(8))).\nAnswer: -6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 182\/3 (b) 0.5 (c) 0 (d) -0.2 (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 37 = -12. Calculate the common denominator of (k\/7)\/(3\/9) and (186\/8)\/((-18)\/(-16)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, t: 1, b: 1, r: 1, o: 4}. What is prob of picking 1 r and 1 b?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-252)\/(-16))*14\/(-20).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2032\/9 - -226. Which is the smallest value? (a) t (b) 1\/7 (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1989 (c) 0.03 (d) -1\/28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 370583141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -2. Suppose -z = 4*z - 10. Let 12*p**i + 4*p - 6*p - z*p**3 + 0*p**3 - 32*p**5 - 48*p**4 = 0. Calculate p.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000677085 rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25\/8 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 4\/8019, -1085?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 10*y + 9*y - 451 = 14*y, -31*w - 367 = 38*w - y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 35225379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -11?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 57879, 115757, 173635?\n\"Answer: 57878*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, q: 1, r: 2, s: 1}. Give prob of sequence sg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 16537?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 150*3\/(-324)*(-12)\/(-15).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360 is divided by 72?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 d when four letters picked without replacement from znvzvnvvzdvdd?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 29*d - 38*d - 5 + (0*d - 2*d + 0*d)*(-4 - 1 + 3) + 0 - 3*d + 0 as o*d + a and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26430 divided by -2.\nAnswer: -13215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 555500388 and 888.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/3740 and 97\/1870?\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, s: 1, r: 5, j: 2, u: 1}. Give prob of picking 1 j and 2 y.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8355.911kg to micrograms.\nAnswer: 8355911000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -8. Let c(j) = -j. Let y(u) = 2*c(u) + n(u). Calculate y(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (578\/85 + -7)*8\/52.\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -96*d**2*m**2 - 61*d**2*m*q**2 - 2*d**2*q + 12*m**2*q**2 - 13*m**2*q wrt q?\nAnswer: -122*d**2*m + 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rurxuugruuyuy. Give prob of picking 1 x, 1 g, and 1 y.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 235 + -165. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -0.08, 1\/15, -2\/11, 6, 8.\nAnswer: -2\/3, -2\/11, -0.08, 1\/15, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -3 - (-78)\/(-12 + 6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80 - -589. What is the hundreds digit of i\/2 + 182\/52?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 9960*s**2 - 110225*s - 120180.\nAnswer: 5*(s - 12)*(s + 1)*(s + 2003)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*k - 72*k + 5598 = -91*k for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zo when two letters picked without replacement from xbzoebzoj?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5. Suppose -4*l + 0*l = 24. Let b(z) = 2*z**2 + 7*z + 1. Let m be b(l). Solve o*i + 30 = -4*v, -3*i = -v + 6*v + m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -68*p + 3. Let m(g) = 6*g. Determine b(m(j)).\nAnswer: -408*j + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 w when three letters picked without replacement from ulwwlccaci?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2 = 0, 3*g + 4*l - 7 - 15 = 0. Let y(b) = -g*b + 5*b - 2 - 2*b + 0. Give y(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 280 = -3*j. Let i = j + 24. Let a = i - 79. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/3? (a) -0.2 (b) -2 (c) 2\/35 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4)*(-4 - 4). Suppose -3*t + 54 = h*k, -6*k + 3*k + 53 = -4*t. Solve s**3 - 2 + 7*s**3 - s**2 - k*s**2 + 10*s = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 153340*p**2 - 153153*p**2 - 1 + 1.\nAnswer: 187*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.5169 * -70.9\nAnswer: 36.64821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, p: 1, v: 3, n: 3}. What is prob of sequence wwvp?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20756 and 254.\nAnswer: -20502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, m: 8}. Give prob of picking 2 m and 2 l.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 312.75549 to the nearest ten.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 31. Let q = -39 + c. Let j be (q\/4)\/((-5)\/4). Put 5, j, 0.9 in decreasing order.\nAnswer: 5, j, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001917105551 rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19074 + -17952. What is the remainder when w is divided by 315?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 6:00 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - d - 2667 = 0, -4*x + 4643 = 2*d - 6055. What are the prime factors of x?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4849.2 + 4221. Let n = -628.23213 - m. What is n rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-6)*-3*3\/(-9). Let p = 39 - 119\/3. Let r be ((-6)\/16)\/(3 + 18\/(-12)). What is the closest to c in r, p, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, y: 4, f: 6}. What is prob of picking 2 y and 2 f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -200674160 divided by -25084270\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23472 (base 10) to base 13.\nAnswer: -a8b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111261735?\nAnswer: 3, 5, 13, 63397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 921 and 5833?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5692.042021 rounded to the nearest one hundred?\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10053171 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-4)\/((-40)\/30).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/9 - (-2)\/9. Let b(s) be the third derivative of -1\/30*s**5 + 0 + 0*s**4 + 0*s - s**q + 1\/6*s**3. Differentiate b(g) with respect to g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 8 = 2*t - 0, -5*t - 6 = -3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128 + -128.2. Let d = -5.4 - -5. What is the closest to 1 in d, -0.3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 123\/6765*22*(5\/3)\/(5\/(-15)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 110 - 113. Let x be 2\/(-8) + 54\/24. Put x, 1, t, -5 in descending order.\nAnswer: x, 1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 996*h**5\/5 - 70*h**3\/3 + 5*h - 741. Find the third derivative of r(v) wrt v.\nAnswer: 23904*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**2 + 2*f - 1. Let g be ((-9)\/(-6))\/(2\/(-4)). Let h = -54 + 58. Let r(v) = 4*v**2 + 2*v - 1. Determine g*u(m) + h*r(m).\nAnswer: m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, n: 1, v: 6, y: 1, g: 1, b: 2}. Give prob of picking 1 n and 3 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from {h: 6, g: 7, s: 1, w: 3}.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-4)\/16*-8. Let o be -2*((-6)\/l + -1). Solve -2*z + 2*h = 6, -5*z + 4*z = -o*h + 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 89, 135, 197, 281, 393, 539, 725?\nAnswer: 957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.85527 kilometers to meters.\nAnswer: 40855.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 180340590 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -264 - -293. Solve -25 + k = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 413 and 280483?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a = 81 + 657. Let x(h) = 121*h + a - 11 - 15 - 15. Let p(i) = i**2. Calculate p(x(b)).\nAnswer: 14641*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22.7 + 23. Which is the closest to 0.2? (a) 1 (b) v (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*i + 10 = z, 0 = 4*i - 28. Solve -v + 4 = -2*h, 38*h = 2*v + 39*h + z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 556221?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*l + 43 - 50 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 + 1332*d - 4032.\nAnswer: 4*(d - 3)*(d + 336)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + 21. Let w(x) = 2*x. Determine w(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = p - 21. Let l = 47 - p. Let r = 3 + 13. Calculate the remainder when r is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*n - 4*n. What is the nearest to n in 5, -2\/25, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/4 + 38*h**3 + 316*h**2 + 640*h.\nAnswer: -h*(h - 160)*(h + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3*k + 24309, -292*l + 5*k + 24317 = -289*l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4197*q - 3243. List the prime factors of v(-3).\nAnswer: 2, 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/1)\/((-60)\/(-24)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.5 take away 55842.265?\nAnswer: -55826.765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 55\/2. Let b = -175 + 148. Let r = 35 + b. What is the closest to n in r, 2\/13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of (1266\/(-12))\/((2 - 7)\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30519963?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1.2, 5, -2\/49, -4.\nAnswer: -4, -1.2, -2\/49, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0354, -1.5, 1, 741, 0.4 in decreasing order.\nAnswer: 741, 1, 0.4, 0.0354, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 4*u = 1, -3*q = -953*u + 957*u + 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 44? (a) 0.5 (b) 19\/4 (c) 4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 482152 and 1276.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4914 a factor of 348083190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 8:00 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0.3. Let q = h - -2.2. Let u = q + -2.4. What is the biggest value in -1, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -52, -56, -58, -58, -56, -52, -46?\n\"Answer: v**2 - 7*v - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113, 115, 15, 2 in decreasing order.\nAnswer: 115, 113, 15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 6996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006563 to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*x**2 + 16*x**2 + 28*x**2 - 57*x**2.\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -9*a**2 + a + 1. Suppose 3*p + 3*d + 132 = 0, -2*d = -3*p + 2*d - 160. Let q = 34 + p. Let z(n) = -n - 15. Let r be z(q). Determine j(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -3\/5 (c) 2\/9 (d) 3\/2 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19265835?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1959.847 to zero dps.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 0.1 (b) 0 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2205 and 45?\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 7673687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3 - 2.3. Let s = 3.59968 + t. Round s to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 93*n**2 - 58*n + 8. Let v be r(-2). Calculate the highest common factor of 2356 and v.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/2)\/u**3)**17 assuming u is positive.\nAnswer: u**(-85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2468 + 1634. Let r = 2341\/3 + -37177\/48. Calculate the common denominator of r and s\/(-48)*4\/(-6).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 13. Suppose -w = c*w. Factor -2\/3*s**2 - 16\/3*s**4 + w*s - 7\/3*s**5 - 11\/3*s**3 + 0.\nAnswer: -s**2*(s + 1)**2*(7*s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4, 105\/44.\nAnswer: 0.3, 105\/44, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1202 - -2211. Suppose -w + a + 50 = 5*h, -4*w + 4302 = -2*h. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1364\/5 + -274. Sort -2\/11, c, 4.\nAnswer: c, -2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjzc. Give prob of picking 1 c and 1 j.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1122 + 1121. Let t be 3\/30*-6 - 0. Let d = 65 + -70. What is the third smallest value in d, i, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 31\/35 - (-4)\/(-14). Is 2 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = d + d - 5, -5*d = -3*k - 7. Suppose 0 = d*u - 4*u + 4. Solve -q + 2*q - 10 = 5*b, u*b + 5*q = -31 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (315\/7)\/3 - (-8 - -4). Differentiate 119*u**4 - 10 - j*u**3 - 10 + 5 - 120*u**4 - 16 wrt u.\nAnswer: -4*u**3 - 57*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33636?\nAnswer: 2, 3, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - m**2 - m + 39. Let b be d(0). Let z = 39 - b. Suppose -8 = 27*g - 29*g. Solve -f + g = -z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -306 - -311. Let t(j) = -l*j + 13*j + 1228 - 1213 + 5*j. Let r(s) = -3*s - 4. Calculate -9*r(a) - 2*t(a).\nAnswer: a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(((m**(-2\/11)\/m*m)\/m)\/m)*m\/(m*m*m\/(m*m\/(m*((m*m**(2\/17))\/m)\/m)))*m)\/(m**(-2\/7)\/m)**(-2\/35))**(9\/10) assuming m is positive.\nAnswer: m**(822753\/229075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**4\/4 + 220*d. Let k(f) = -440*f + 121. Let b(g) = -11*g + 3. Let x(h) = -242*b(h) + 6*k(h). What is v(x(w))?\nAnswer: 1452*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -38 (base 10) to base 7\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(9*o - 9*o - 4*o**2 + (4 + 2*o - 4)*(-3 + 3 + 2*o) - o**2 - 2*o**2 + o**2) - 284*o**2 - 466*o**2 + 916*o**2.\nAnswer: 170*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 3*m**2 - 2*m + 2. Let s(g) be the third derivative of 5*g**4\/12 - 14*g**3 + 182*g**2. Let u be s(8). What is k(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(190)\/(sqrt(160)*-5))**2.\nAnswer: 3*sqrt(19)\/10 + 3619\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*-5*sqrt(22)\/(sqrt(539) - (sqrt(539)*-2 - sqrt(539)))*6 + -3.\nAnswer: -4 + 45*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/21)*f**11\/f)**(-19\/3) assuming f is positive.\nAnswer: f**(-3952\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 - 6*h - 41 - 37.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*1*(sqrt(272) - (5 + sqrt(272)*2) - sqrt(272))*3)**2.\nAnswer: 12960*sqrt(17) + 180306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 781658778 divided by -1\nAnswer: -781658778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 136 = 13*y - 15*y, -227*y = 3*m - 7*m - 342 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**4\/12 + c**3 - 5*c. Let t be p(5). Suppose t = -4*o + 153. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -304 divided by -19?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 3\/4525 (b) -1\/1689 (c) -1 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-15)\/u**30*u\/(u\/(u*u\/u**(2\/29)))*u**(-2\/77) assuming u is positive.\nAnswer: u**(-96231\/2233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 194414642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(12)\/sqrt(2)))\/(sqrt(2) + -5*sqrt(288) - sqrt(2)).\nAnswer: -sqrt(11)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 - -0.039. Let b = -10 - -9.935. Let l = p - b. What is l rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5394700139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12601321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 357\/4743*(-1788)\/(-1043)\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 5*c - 65, 0*c = g - 3*c - 3. Let y be (-12)\/21*(-28)\/g. Let l = -2\/9 + y. Sort 5, l, 1 in increasing order.\nAnswer: l, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, u: 1, k: 1, e: 2, h: 1, l: 2}. What is prob of sequence lhee?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4*2)\/(23\/(437\/133))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, -123, -5, -104.\nAnswer: -123, -104, -5, 92","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3))**(-2\/3)*(o*o**(1\/3))**(-6))**8 assuming o is positive.\nAnswer: o**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2)*-1 - (sqrt(200) + -1 + sqrt(200)))*4)**2.\nAnswer: -576*sqrt(2) + 10384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**3 - 2*g**2 - 2*g. Let q(v) = v**2 + v. Let h(j) = -3*q(j) + r(j). Let x = 14 - 9. Let c(l) = l**3 - l**2 - l. Determine x*c(f) - h(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**2 + 9*w**2 + 6*w - 6*w in the form s + k*w + v*w**2 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470 + 465 = d + u, 5*d + 19 = u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -902\/15, -0.1, 3, 12, 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 3 - 1. Suppose -34 = 7*r + z. Let i(u) = 39*u. Let b(g) = -8*g. Let w(j) = r*i(j) - 24*b(j). Let h(a) = -15*a**2. What is h(w(k))?\nAnswer: -135*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-6) - 36\/(-27))*3. Suppose 3*s = -s + 12. Suppose l*v = s*c - 7 - 9, 3*c = -v + 10. Solve 2*d - c = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*h + 34. Let j be h\/8 - 5\/20. Let a be (-8)\/(8\/(-6)*15\/30). Solve -j*u + a = u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -2.183.\nAnswer: -2.183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10045, -35423, -77711, -136903, -212993, -305975, -415843, -542591?\nAnswer: -686213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**6\/120 - 31*p**5\/60 - 155*p**4\/24 - 125*p**3\/6 + 1645*p**2. Factor z(a).\nAnswer: -(a + 1)*(a + 5)*(a + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 871484 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*l = -6*l + 657, 0 = 3*b - 5*l + 1987. Is b\/(-15) - ((-28)\/(-5) - 5) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3282 by -547.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 plus -0.3?\nAnswer: -82.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -59027 (b) 1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l - 7*l - 14*l.\nAnswer: -25*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 0*n**3 + 15*n**2 - 2 + 0*n + 1\/10*n**5 + 0*n**4. Let r(v) = 2*v**2. Give r(d(u)).\nAnswer: 72*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 215?\nAnswer: 215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - -22)*(-2 + 3)*-6. Let t be (9\/(-14))\/(u\/168). Which is the second smallest value? (a) 11 (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*y**5 - 10*y**5 + 29*y**5 + (2*y**2 + y**2 - y**2)*(2*y + y**3 - 2*y) + 2*y**5 + 3 - 3 + 2*y**4 + 2*y**5 - 2*y**4.\nAnswer: 37*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3115*j**3 - 17593*j**2 + 12224315*j + 3.\nAnswer: -18690*j - 35186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g - 3. Let r = 644 + -642. What is m(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39891*a**2*i**3 - 512*a**2*i**2 + 1031572*a*i**3 - 19*a*i**2 wrt a.\nAnswer: 79782*i**3 - 1024*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 40299000 to the nearest one hundred thousand.\nAnswer: 40300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w\/(w*w**(-1)\/w)))**(5\/17)*(w*w\/w**(2\/5)*w)**(-41) assuming w is positive.\nAnswer: w**(-9086\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97 - -100. Suppose -5*p = 70 - 95. Put p, 1, x, -4 in descending order.\nAnswer: p, x, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4012 and 1804.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 5*h + 138085, 2*v - 1228*h + 1224*h - 55232 = 0. Is 179 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -58857?\nAnswer: -1\/58857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-36)\/14*(-42)\/9. Let u = t - 15. Let o be ((-196)\/16)\/(u\/12). What is o rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -0.036?\nAnswer: 1.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/54 - 113\/270. Suppose -3*j + 3 = -2*w - 2, 0 = j + 2*w - 15. What is the closest to d in -2, 10, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = m + 3*m. Let p be ((-3)\/(-5))\/(m\/(-15)). Sort -3, p, -5, -2 in decreasing order.\nAnswer: -2, -3, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -581 + 581.3. Which is the fourth biggest value? (a) z (b) -0.3 (c) -4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -19*p**3 + p**2 - 2*p - 2. What are the prime factors of o(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 87 + 72 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 335*h**4\/6 - 505*h. Let g(r) = -3*r. Calculate w(g(d)).\nAnswer: 6030*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1978, -1973, -1954, -1915, -1850, -1753?\nAnswer: -1618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 52 = -4*n, -5*n - 81 - 19 = -5*t. Calculate the greatest common factor of t and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -3*h + 5*h. Suppose 3*r = 4*r - h. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(27\/3)\/3. Let y(f) be the first derivative of f**4\/4 - 2*f**3\/3 - 3*f**2\/2 - 2*f - 122. Calculate y(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 233.2233 minutes?\nAnswer: 13993398000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00038316702 rounded to 5 decimal places?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(75) + 2.\nAnswer: -2 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15 + -25)\/(-20))\/((-106)\/(-159))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35 + -25)*22\/44.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, s: 3}. Give prob of sequence ss.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 28 = 2*z, -89*z - 94*z - 88*z - 10*i + 10 = -271*z for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24704 is divided by 4548.\nAnswer: 1964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 2:01 PM?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 13*y**2 + 13*y - 14. Suppose 3*b - 4*k - 15 = -53, b - 5*k + 9 = 0. Let o be m(b). Which is smaller: -10 or o?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*z - 61*z = -1808. Suppose -z = -10*w - 6. Sort w, -1, 3.\nAnswer: -1, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 11:56 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 7*s + 7. Suppose -428*n + 447*n = -95. Give j(n).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 11, z: 1, s: 2, q: 1, t: 4}. What is prob of sequence sff?\nAnswer: 110\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 5*y - 4. Let n be i(-4). Let t be n\/2 - 10\/(-45). Let t*s**3 + 0 - 2\/3*s**4 + 0*s + 4\/9*s**2 = 0. Calculate s.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.333164mg to micrograms.\nAnswer: 2333.164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-14) - 1659\/(-147)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17192 is divided by 2860?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 2\/15, 22127, -3, 3 in ascending order.\nAnswer: -5, -4, -3, 2\/15, 3, 22127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 238.76 - 0.66?\nAnswer: 238.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 2*o**3\/9 + 52*o**2\/3 + 34*o - 548. Factor w(q).\nAnswer: 2*(q + 1)*(q + 51)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.024 - -1.024. Let p = -10 + 14. Let h = -6 - -6. Put p, i, h in increasing order.\nAnswer: h, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1272, -3\/14, 7, -4, 0?\nAnswer: 1272","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -7. Let z = 6 - m. Which is the third smallest value? (a) 2\/9 (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 23 = -k. Solve -k*h + 5 = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22033 - -33752. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -469357162 divided by -277234\nAnswer: 1693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 30 = 2*a, 2*a + 2*g + 3 = 5. Suppose -3*k + 922 = 4*b, -2*b - a*k = 3*b - 1155. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**3)**(-10))**41)**(-21) assuming m is positive.\nAnswer: m**25830","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**4\/9 + v**3\/27 - 2*v**2\/9 + 9*v. Factor d(h).\nAnswer: 2*(2*h - 1)*(3*h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.1 - -2. Let u = r - -6.1. Let t = u - 6.5. What is the third smallest value in 5, 3\/7, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3310 + -204?\nAnswer: 3102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 982696 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2. Let q(z) = -287123635*z**2. Give q(y(b)).\nAnswer: -287123635*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 4*f**2 - 4*f + 11. Let v be b(3). Let m be (-726)\/(-12) - (36\/v + -4). What is the highest common divisor of m and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20374664*t**2 - 80*t + 114102?\nAnswer: 40749328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (196\/32 + -6)*64\/(-24).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 64acb9 (base 13) to base 4\nAnswer: 21001223020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45891 + -22034. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56521 (base 9) to base 3\nAnswer: 1220120201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.13 and -5.22?\nAnswer: -0.6786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*q - 420, -q + 7*f + 205 = 3*f. Suppose -5*i - 418 = -3*c, -3*c + 4*i = -628 + q. List the prime factors of c.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.2 * 15.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1 (b) -2 (c) 0.1 (d) 1078\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2000163 or 12?\nAnswer: -2000163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 + 42*c + 9. Let j be 0 + 9\/3 + (-3)\/1*-6. Give x(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 - -42. Let g = -21008 + 125641\/6. Let b = g - -68. What is the closest to -1\/25 in b, -1\/2, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35742 is divided by 122?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3953\/105 + 264\/7. Let d(w) be the third derivative of -g*w**5 + 0 + 1\/3*w**3 - 4*w**2 + 0*w**6 + 0*w**4 + 1\/105*w**7 + 0*w. Let d(r) = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -65 (b) -7 (c) -2 (d) -5 (e) 0 (f) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1620 - -4861\/3. Let w(q) be the second derivative of 0*q**2 - 1\/12*q**4 - 5*q + 0 - o*q**3. Factor w(p).\nAnswer: -p*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 7:49 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2132 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24405610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-81)\/(-18)*84\/882)\/(18\/(-15))\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 - ((-42 - 50 - -34) + -6).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 1342?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -757, -756, -755, -754, -753?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 - 15*r + 62. Let d be p(8). What is the highest common divisor of 105 and d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 671 and 1.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 223 + -66?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405)*2)**2 - sqrt(5)) + 1 + (-2*sqrt(5)*-2 - (sqrt(5) - (0 + sqrt(5)))*6)**2.\nAnswer: -sqrt(5) + 1701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -93, -79, -49, 3, 83?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**2\/2 + 101112597*i + 3407919090694803\/2 = 0 for i.\nAnswer: -33704199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-7)*252\/216?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70278781 or 351393902\/5?\nAnswer: 351393902\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4455) + (-1*(2*sqrt(4455) + sqrt(4455) - sqrt(4455)) - sqrt(4455) - sqrt(4455)))\/(((sqrt(480)*2)\/sqrt(12))\/sqrt(8)).\nAnswer: -27*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - (0 - 2))*(-1043 + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.923 and -0.2?\nAnswer: -0.7846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 495702, 991383, 1487064?\nAnswer: 1982745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44575661?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 3. Suppose z = 2*a - 2, 0 = -3*z - 2*z. Let w = a + 1. Solve -p = -m - w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f. Let p(h) = -29*h**2 - 7*h - 7. Let u(y) = 15*y**2 + 4*y + 4. Let q(i) = -4*p(i) - 7*u(i). Calculate l(q(v)).\nAnswer: 22*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 - 33 = 6*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1097 - -1099. Solve p - 17 = -5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3698966668?\nAnswer: 2, 151, 1319, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 191 - 141. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j**3 - 167*j**2 + 71*j - 2759. Calculate i(28).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4214? (a) 0.08 (b) 2 (c) -2 (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*t - 4*v = 78*t + 3, 3*t + 5*v = -42 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 831, 1667, 2505, 3345, 4187?\n\"Answer: c**2 + 833*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-152 - -281) + (-85 - 168).\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aooa when four letters picked without replacement from {o: 2, a: 16}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = o + 3*y + 175, -3*o - 26 = y. Let j(s) = 4*s**2 + 13*s + 12. Calculate j(o).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, -11, -15, -11, 7?\n\"Answer: h**3 - 5*h**2 + 2*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 times -42?\nAnswer: -1218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 512.9062 + -2.0662. Let d = h + -513.3417. Let o = d - -2.5. What is o rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 15*a - 6. Let h(x) = -30*x + 11. Determine -4*h(i) - 7*l(i).\nAnswer: 15*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 12379.042 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 4:17 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2434387670 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + -65. Let x be (-7)\/(-2)*o\/((-140)\/48). Solve -l = p + x + 2, 4*l - 5*p = -5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1) + -5 + 0 - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3*(0 + -3*sqrt(704)) + -1)**2.\nAnswer: -144*sqrt(11) + 57021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12463 and 387486.\nAnswer: 4262346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5511 = 4*i - 0*t, -3*i - 4137 = -5*t. Let a = i + 2843\/2. What is the common denominator of a and -18\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223830310 divided by 695?\nAnswer: 322058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4418382851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5925931 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 6. Let b be l(3). Suppose 4*d + d = y + 5, 0 = b*d + y + 5. Solve -3*o = d, 2*x - 4*o - 1 = 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*f + f - 2*f)*(f + 2*f + 0*f) + 2*f**2 + f**2 - 4*f**2)*(-2 + 1 + 0)*(2 - 2 + 2*f).\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 385787?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 2 + 68*g - 5 + 2 to y*g + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125\/(((-5000)\/(-16))\/125).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2\/5 + 125976*b\/5 + 9059904\/5 = 0. Calculate b.\nAnswer: -62916, -72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - 1. Let m = -7.02 - g. Let r = 0.12 + m. Sort -1\/6, r, -1 in decreasing order.\nAnswer: r, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 317428 + -216?\nAnswer: 317212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -24, -5, 2, -78?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(7056) + sqrt(7056) + (sqrt(7056) + sqrt(7056)*-2 - sqrt(7056)) - sqrt(245)\/(sqrt(5) + 2*sqrt(5))))\/(-2*sqrt(42)\/(3*sqrt(24)\/sqrt(4))))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12168 and 3471624.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245263, 299376, 353479, 407566, 461631?\nAnswer: 515668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1741637 (base 9) in base 11?\nAnswer: -604539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(154)\/(-3*sqrt(7))*-3)\/(3*-2*sqrt(1331) + -4*1*sqrt(1331)).\nAnswer: 3*sqrt(2)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -903292 (base 11) in base 3?\nAnswer: -2201212020021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2736*9.\nAnswer: 24624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -41*h**5\/120 - 133*h**4\/24 - 61*h**3\/3 - 2*h + 147. Let b(m) be the third derivative of a(m). Differentiate b(f) wrt f.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z - 679 + 20*z**2 - 5*z**3 - 2*z + 679 = 0. What is z?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*n**3 + 1\/5*n**4 - 1\/5*n**5 + 0*n**2 + 0 + 0*n.\nAnswer: -n**3*(n - 2)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*c + 4, c = -3*c + 2*y + 26. Let g be (-2 + -14)*(-10)\/c. Solve -12 = -5*d + 8, 0 = i + 5*d - g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1499 - 46.8. Round n to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g**3 - 57*g**2 - 156*g - 95. Determine r(-2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*g + 2*z + 22, 0 = -z + 3. Let a be g\/5 - 4\/10. Let u(r) = 14*r. Is u(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9945, -43104, -98367, -175734?\n\"Answer: -11052*g**2 - 3*g + 1110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1320 = 2*d + 22*d. Differentiate 136 + 102*f**2 + d*f - 55*f with respect to f.\nAnswer: 204*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-10))\/((-10)\/25). Let c be d*(-1 - 0) - -4. What is the remainder when 13 + 0\/(2 + (c - 6)) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38829187, -38829185, -38829183, -38829181?\nAnswer: -38829179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 307 in increasing order.\nAnswer: 0, 4, 307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*(-104)\/(-5850)*1\/2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 + (11 - 26 - ((9 - 13) + -13))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 4*j**2 + 2*j + 2. Let m be p(2). Let l be (-1482)\/(-5005) + m\/11. Which is greater: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/21 + (-220)\/(-14). Suppose 2*x = -2*x + w. Suppose -4*m + 9*m - 5 = -4*o, 3*m - 2*o - 25 = 0. Solve x = m*z - 4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19614 or -215746\/11?\nAnswer: -19614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) -20.7 (c) 1\/4 (d) 51\/23 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 90 and -252319241329.\nAnswer: -252319241239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41 + 105?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2 + 1 - 4 + 1 + (0 + 3 - 2)*(1 - 4 + 2) + 0 + 0 - 2)*(-48271 - 23246*u**2 + 48271).\nAnswer: 92984*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 14*j - 16. Let u be n(15). Which is smaller: 1\/19 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {d: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*t + 3*t - 4423 = 0, 4*p - 5882 = t. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**4*d + 389*a**2*d**2 + 753*a*d - 2*d**2 wrt a.\nAnswer: -12*a**2*d + 778*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1929 - 1924. Let -g**3 + 5\/2*g - 11\/2*g**4 - 3\/2 - 3\/2*g**s + 7*g**2 = 0. Calculate g.\nAnswer: -3, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-3 + -2 - -2). Let s = 1 - -17. Solve -s = f*r - 3 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 121 + -119. Sort b, -2\/55, -2\/17 in decreasing order.\nAnswer: b, -2\/55, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 46.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 3)*(l**5 - l**5 + 2*l**5) - 40*l**5 + 3166*l + 18*l**5 - 3122*l.\nAnswer: -28*l**5 + 44*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**2 + 43*v + 18. Let j be h(14). Calculate the greatest common factor of 256 and j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/4649749?\nAnswer: -2\/4649749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or -4434?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3959, -3963, -3969, -3977, -3987, -3999?\nAnswer: -4013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 8*d - 10. Let b(n) = n + 22. Give q(b(g)).\nAnswer: 8*g + 166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 2*v - 1. Let s be x(2). Let u = -1 - s. Let q be (-2)\/((-1 + u)\/(-515)). Round q to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m - 129. Let l be o(-26). Is (-3*18633\/(-9))\/l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 40807, 162673, 365773, 650107?\n\"Answer: 40617*q**2 + 15*q + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**3\/9 + 3224*q**2\/9 - 358*q = 0. What is q?\nAnswer: 0, 1, 1611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*n + 21 = 0, 3*y + 2*n = -0*y + 17. Suppose -p + 4 - y = 0. Let b = 2.5 - 2.6. What is the nearest to b in 3\/7, -0.5, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3591914870 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 6*a - 232. What is the remainder when 134 is divided by j(49)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 483 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.1 * -13.\nAnswer: 27.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 33, 374, 1297, 3090, 6041?\n\"Answer: 48*i**3 + 3*i**2 - 4*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.347 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 22375976, 22375978, 22375980, 22375982, 22375984, 22375986?\n\"Answer: 2*m + 22375974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 9 = 2*j, -42*g = -47*g + 45 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12409 is divided by 1771?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f*u**2 + 156128*f*u - 5761*u**2 + 20*u - 1 with respect to f.\nAnswer: u**2 + 156128*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 4*i + 56. Let x be ((-3)\/(-5))\/((-2)\/(-10)). Suppose x*q - 44 = -i. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2212498800 and 405.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 8*f**2 - 8*f + 9. Let x be l(-9). Let r = 1 + 2. Let n = r - x. What is the remainder when 4 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -26.97. Let j = 3505 - 3501. Let r(w) = w**3 - 8*w**2 - 9*w - 4. Let g be r(9). Which is the third smallest value? (a) j (b) x (c) 5\/3 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -131 and 4.\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -3\/7, -3\/487, 18\/49?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -22*j**3 + 7*j**2 - 6*j - 6. Let o(s) = -45*s**3 + 15*s**2 - 13*s - 13. Suppose -3*d + 2*q + 15 = -15, 0 = 3*d - 5*q - 48. Give d*o(x) - 13*l(x).\nAnswer: 16*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**3 + o + 1. Let z be 0 - (-1 - 3) - 5. Calculate p(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0337 (b) -0.1 (c) 2\/21 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5868 - 5760 - 5771 + 28929 - 5766 - 7*u - 5764.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1562*h - 1559*h - 60. Solve r + 25*v = 29*v - h, 5*r - 5*v + 25 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/4)*g**(-5\/3)*g)\/((g*g**(-10))\/(g*g\/g**(-1\/5)*g)) assuming g is positive.\nAnswer: g**(737\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83*c**5*i - c**4*i**3 + 267*c*i**3 + 2*i**3 wrt c?\nAnswer: -1660*c**3*i - 12*c**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 2*r + 4. Let n be x(0). Suppose -n*o + 81 + 19 = 0. Solve 2*s - 7*s + o = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-86)\/(-4) + (-1)\/2. Let d = -20 + w. Let f(r) = -6 + 1 + 0 - d - 2*r. What is f(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 6. Suppose -20*j + 18*j - c = 0. Let a(n) = -n**3 - 6*n**2 - 3*n + 1. What is a(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/4 + 0 - (2 + 686\/(-252)). Suppose -6*f + 2*f - 20 = 0. Which is the closest to s? (a) -2 (b) f (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - q + 13 = 0, 2*i - 3*q + 11 = 4*i. Is 11 a factor of i*(-2)\/(-8)*15*11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -3636*k**5\/5 - 154*k**3 - 1266. Find the third derivative of s(j) wrt j.\nAnswer: -87264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**5 - 3*u**5 + 4*u**5 + (2*u**2 + 0 + 0)*(-4*u**3 + u**3 + u**3) - 7*u**5 + 3*u**5 + u**5 - 6*u**5 + 4*u**5 - 2*u**5.\nAnswer: -13*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 13*j**2 - 14*j - 31. Calculate w(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 8\/7, 0.13, 19 in increasing order.\nAnswer: 0.13, 8\/7, 13, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/4 - 8785*d**2\/4 - 17573*d\/4 - 8787\/4.\nAnswer: (d - 8787)*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204 + 433 = 12410*f - 12397*f for f.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 14*u**2 - 6*u - 17. Let o be c(14). Let b = o + 126. Which is greater: b or 21?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -205 or -9405\/46?\nAnswer: -205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**3 - 2*u**2 + 3*u + 2. Let d be c(-2). Let i(x) = -5*x + x + d*x - 2*x. Let f(n) = 2*n. Determine f(i(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4 - 87574*z**3 - 1278171720*z**2 - 6217879302176*z + 6219157561472.\nAnswer: -2*(z - 1)*(z + 14596)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 8 - (3 - (-3 - -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -100*j**3 + 2845*j**2 + 2324*j + 468 = 0.\nAnswer: -2\/5, 117\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 220110 to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 4)*(2 - 2 + 4*j)*(0 + 1 + 1 + (-2 + 1 + 0)*(0 - 1 + 0) - 182 + 154 - 151 + 2 - 1 + 0) as o + w*j and give w.\nAnswer: -1400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z - 4*z - 17*z**3 + 15*z**3 + 2 + 3*z to p*z**3 + d + f*z + w*z**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a week?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - q + 4)*(2 + 1 - 5 - 1 - 2 + 1 + (3 + 3 - 4)*(1 - 1 + 2) + 1 - 2 + 0 - 10 - 1 - 7).\nAnswer: 19*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -21*w - 4. Let j(f) = 887*f - 160*f + 190 + 261*f. Let s(b) = 2*j(b) + 95*k(b). What is s(1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 545*s = 97*s + 5235502 + 3658642. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 11:07 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 6 - 15. Suppose -6 - 12 = -l*i. Suppose r - 6 = -i*r. Which is smaller: r or 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k - 2. Let r(w) = 183*w - 6. What is 3*c(l) - r(l)?\nAnswer: -174*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*v - 15, 17*c - 18*c = 0. Sort 0.1, v, -0.03 in increasing order.\nAnswer: -0.03, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -45?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -2\/15 (b) -3\/7 (c) -461\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5290 divided by 26\nAnswer: 2645\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.7 - 149850932553.\nAnswer: -149850932548.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = -10*y - 148. Let c(s) = -s + 9. Suppose -2*d + 9 = -d. Let i be c(d). Solve -y*q + 4*q = i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1886 and 2050?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-17))**(-29) assuming d is positive.\nAnswer: d**493","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*p = 207 - 330 - 345 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2508 is divided by 93.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -19*f + 254. Calculate m(14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 4717045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*w = t + 857, -5*t + 4377 = -2*w. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 p when three letters picked without replacement from ppypppypyyypppyppp.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 3*t - 81 = 0. Suppose 2*o = -2*w + 6, -w + 2*o + 3*o = t. Let p(l) = -6*l**3 - l + 2. Let k be p(1). Is w equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**5\/20 - r**4\/4 + 4*r**3\/3 - 3*r**2\/2 + 2323*r. Calculate a(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -32\/7 (b) 392 (c) -1 (d) 2 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.26 (b) -0.1 (c) 13 (d) -1\/5 (e) 2063\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 444 (base 5) to base 16\nAnswer: 7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 3*t**2 - t + 2. Let o(q) = -2*q**3 + q**2 + 4*q + 3. Let a be o(-2). Let i be (-4)\/(12\/a) + 2. Calculate x(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**6\/3 - 16*h**5\/15 + 29*h**4\/2 - 56*h**3\/9 - 2638. Solve d(k) = 0 for k.\nAnswer: -7, 0, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/55 + (-24)\/(-11). Is -20*((-385)\/m)\/11 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353234 is divided by 10076?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 21*a - 18.\nAnswer: -3*(a + 1)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*k = 164*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 7. Suppose -b*a + 1376 = 10116. Let k = a + 17367\/10. Find the common denominator of -31\/4 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-3))\/(-3 + 60\/18). Let v(x) = 3*x. Let y(b) = b. Give h*v(p) - 5*y(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9617 + 0.0383. Which is the closest to -32? (a) -0.3 (b) g (c) -0.1 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from noyloloyloyoo. What is prob of picking 1 n and 2 o?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 8:18 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j + 55*j + 105 = 30*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = -m - 94 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 116 - 122. Let n be 956\/3 + (-8)\/z. Calculate the greatest common factor of n and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 534 = -5*q + 3461, 3*d = 3*q - 2376. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*y - 43 + 43 to b*y + x and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 33*v - 1021. Let z be s(31). Let o = -3 + 8. Sort o, z, -1 in increasing order.\nAnswer: -1, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w**3 - 2*w**3 + 0*w**3.\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*o + 35*o - 3639 = -1364 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 18. Let h be 6\/4 + (-35)\/(-10). Suppose h*l - y = l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.3, 0.08, 24 in descending order.\nAnswer: 24, 0.3, 0.08, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-1 + 0) + 423\/(-135)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21918899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 271696 divided by -1374.\nAnswer: -135848\/687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((4\/144*1)\/(10\/45))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**5 + 0*h**5 + 2*h**5 + (3 + 2*h - 2 - 4*h)*(6*h - 6*h + 7*h**4).\nAnswer: -15*h**5 + 7*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 6, 3343, -3?\nAnswer: 3343","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9813821.\nAnswer: 211, 46511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6 = 5. Let y = -2 + 2.1. Let c = y - 0.1. Is f <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*k - 29 = -2*u + 45*k, u - 3 = 4*u + 4*k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/20*(-35)\/(-3). Are -14 and w nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 300 and 151470?\nAnswer: 1514700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.3 - 12.7. Let v(k) = k**2 + 4*k - 7. Let m be v(-5). What is the second biggest value in y, m, -1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5112 + 1?\nAnswer: 5113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15 from -2879.213728.\nAnswer: -2894.213728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-715)\/73359*57 - ((-1)\/(-2) + (-39)\/54).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-6) - (-66)\/(-36). Let z be (q + -1)*(-2 - -1). Solve 24 = b - 5*i, -z*b = -0*b + 5*i + 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2973 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 5*g**2 - 6*g - 5. Suppose 12 = p - 4*p. Is j(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -6*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 531423629.\nAnswer: 11, 5087, 9497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 7*h + 43. Let x be b(-5). Suppose l - 2*p = 46, -4*l - 3*p + x = -96. Calculate the remainder when 572 is divided by l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + g = -5, 0 = a - 4413*g + 4416*g + 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f + 1. Suppose -s + 1 = 4. Let j(h) = -2*h - 1. Let a(q) = s*t(q) - 4*j(q). Let y be -10 - ((-4)\/4 + -4). What is a(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 79 = 21. Let z = 4 - a. What is the greatest common factor of 168 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = s + 1, -6*s + 4*s = -3*t - 1. Let n be ((-6)\/(-4))\/((-6)\/(-16)). Suppose 2 = s*l - n. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 528\/112 + 2\/7. Let i(n) = 4*n**2 - 2*n - 1. Let w(p) = -5*p**2 + 2*p + 2. Let t(y) = c*w(y) + 6*i(y). What is t(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-65))\/((-4)\/60*3).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(891) - (2 + sqrt(275)))**2 + 4 - ((sqrt(44)\/sqrt(100))**2 - (-5 + sqrt(44))).\nAnswer: -30*sqrt(11) + 4764\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*t - 16 = -45*t. Suppose p + 1750 = 4*v - p, 0 = t*v + p - 1753. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3131057*l**4 - 54*l**2 - l + 847?\nAnswer: 75145368*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*c - 5. Let n = c - 6. Is ((-4)\/10)\/(n\/35) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2 - 6*c + 2. Let w(x) = -4*x**2 - 12*x + 5. Let y(p) = 7*s(p) - 4*w(p). Let l be y(-5). Does 13 divide l - (2 - 2\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -24003, -95964, -215895, -383802, -599691, -863568, -1175439, -1535310?\n\"Answer: -r**3 - 23979*r**2 - 17*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvpvvpddvddn. What is prob of sequence dpdp?\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 17*c**2 - 33*c - 14. Let b be i(-15). Suppose -b*o + 26*o + 25 = 0. Solve -46 = o*r - 71 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 5. What is s(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 1 - -8)*(-600)\/(-240). Solve 152*p = 148*p + j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -8*u + 100. Let i be c(12). Suppose -2*v = r - 0*r + 23, 40 = -i*v + 4*r. Is -9 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2199769\/1573 + (-2 - (-56)\/22). Let m be -4*(1 + (-30)\/8). Suppose -m*j = -10*j - r. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 3*f**2 + 17*f - 1. Let o be x(-3). Solve -2*q = o, 4*i + 4*q - 2 + 10 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80419279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8038 + -8035. Determine o so that 0 + 2\/9*o**r - 2\/9*o + 0*o**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**9\/3780 + r**5\/30 - r**4\/2 - r. Let n(f) be the third derivative of m(f). What is the derivative of n(l) wrt l?\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1962673 and 83518?\nAnswer: 3925346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*p**2 - p + 5*p + 49*p**2)*(-p - 2*p + p) in the form h + n*p**2 + m*p + y*p**3 and give y.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 518 and -0.0174544.\nAnswer: -9.0413792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.8 - -1.2. Let a = -286.3 - -290. What is the third smallest value in -1\/4, a, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.5772 rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 2*v + 0*v)*(-2*v + 2*v - 2*v) + 0*v + v**2 + 0*v - v**2 + 13 + 25273*v - 26115*v - 11 + 2*v**2 - 3*v**2 + 3*v**2.\nAnswer: 6*v**2 - 842*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) 4 (c) 5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r + 74. Calculate o(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28648544295115\/1716 - 16694956436. Let h = s + 6090\/11. Find the common denominator of 161\/60 and h.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w + 4*q - 15, -w - 2*q + 3 = 0. Let t = 5 + w. Is (26\/4)\/(t\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 691*j**5 + 8*j - 341*j**5 - 346*j**5 - 12*j**3 - j**4 + 5*j**4 - 4*j**2 = 0. Calculate j.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18576977 plus 2.431?\nAnswer: 2.61676977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-10)*11\/(-11)*-1. Sort a, 2, -4, 3 in decreasing order.\nAnswer: 3, 2, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + -36 + (-352)\/220.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 120828 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 315082\/12 - 91\/(-78)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 + 5. Is 21 a factor of 11\/(22\/j) + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(26\/110))\/(7945\/454)?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1099 divided by -6\nAnswer: -1099\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, t: 2, q: 1, g: 1, z: 1, p: 1}. What is prob of picking 1 z, 1 g, and 1 t?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 11:49 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 + 14 + 65 + (5 - (-3 + -2)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -16 + (-12 - 204)\/27\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 757 - 756.99994408. What is o rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*x + 4*x - 2 = 0, 3*a + 2*x + 19 = 0. Let y be (-28 + 31)*(-2)\/a. Let l be (0 - (-1)\/(-4))*y\/(-5). What is the closest to l in 1\/3, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6732161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (133\/(-19))\/((-113)\/565)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -38, -23\/8, -10, 49?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*c + 18 = 2*c, 5*r - 15 = -5*c. Let b(i) = 9*i**3 - 7*i**2 - 9*i + 9. What are the prime factors of b(r)?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 - 2*z**2 - 2*z**5 + (-2*z**2 + 2*z**2 - 2*z**4)*(2*z - 3*z + 2*z) + (-13*z**2 + 13*z**2 + 6*z**3)*(-4*z**2 - z + 6*z**2 - 352 + 376).\nAnswer: 8*z**5 - 6*z**4 + 144*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164 and 63796?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -603*d**2 + 16748*d - 55026250 wrt d.\nAnswer: -1206*d + 16748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21 and -927.\nAnswer: 19467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oose when four letters picked without replacement from sosoesso.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18104 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1649307 rounded to three decimal places?\nAnswer: 0.165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(((((y\/(y\/y**(-3\/7)*y))\/y)\/y)\/y)\/y)\/y)\/(y\/(y*y\/(y\/(y*y\/(y**(2\/17)*y))*y))))\/(y\/(y\/(y**(-8)\/y*y)*y)*y**(-8)) assuming y is positive.\nAnswer: y**(1363\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 9. Let u = 23 + -23. Suppose u = -c*y - 0*y + j + 63, -j = -2*y + 31. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -321036*n. Let v(z) = -31*z. What is v(r(t))?\nAnswer: 9952116*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 533362 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1236 - 353*j + 1072*j - 360*j - 360*j + 424.\nAnswer: -j + 1660","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u - u**2)*(3 - 3 - u)*(-15 + 23 + 24).\nAnswer: 32*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3958 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27072 and 672?\nAnswer: 189504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(567))**2 - (sqrt(252) + -1).\nAnswer: 12*sqrt(7) + 569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q - 5. Let d(s) = -4*s - 8. Suppose -2*a = -5*a - 3, -4*m - 2*a + 182 = 0. Let w be (-8)\/36 - 61\/9. Let g be m\/9 + w\/63. Give g*d(f) - 8*t(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*s - 151*s - 14 + 29 + 271*s - 18.\nAnswer: -79*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4319760?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 0 + 4 - 3 + 0 + (-1 + 5 - 2)*(2 - 2 - 2) - 2 + 0 + 0)*(-3*x + 0*x + 4*x)*(-3 - 5 - 6) in the form n + c*x and give c.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12304945, -12304946, -12304947, -12304948?\nAnswer: -12304949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 9*d. Let f(g) = -27 + 5 + 22 - 29*g**2. Give m(f(k)).\nAnswer: -261*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -1 + 3 + -3. Suppose -21*p + 26*p - 90 = 0. Suppose 6*f = -p - 12. Sort 0, f, k.\nAnswer: f, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -0*i + 90. Suppose -20 = -4*z - b, 5*z - i = -5*b + 2*b. Solve -2*o = -w - o - 4, -z = 5*w + 2*o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2379153 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrr. Give prob of picking 3 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-21))\/(7\/((-147)\/6)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 5, -4, -19, 4, 2 in decreasing order.\nAnswer: 5, 4, 2, -4, -19, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2556204 divided by 1278102.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by (6\/15)\/(4\/100).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -48*t**3 - 216*t**2 - 99*t + 363 = 0.\nAnswer: -11\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69276 and 44988?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 5*u**5 - 140*u**4 + 485*u**3 - 90*u**2 - 720*u = 0?\nAnswer: -1, 0, 2, 3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y + y**2 + y + (-2*y - y + 5*y)*(-3*y + y + y) + (0 - 2 + 1)*(-7*y**2 + 2*y**2 + 104*y**2).\nAnswer: -100*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25120 >= 25120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1426, 1415, 1412, 1423, 1454, 1511, 1600, 1727?\nAnswer: 1898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -342707328 minus 19974?\nAnswer: -342727302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 2301, -86 in descending order.\nAnswer: 2301, 11, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.6 - -2. Let l be ((6\/(-4))\/1)\/(-1). What is the third smallest value in l, 3\/7, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*r**4 - 126*r + 126*r + (r**3 + 0 + 0)*(4*r + 2*r - 2*r) + 2*r**3 - 2*r**4 - 2*r**3 + 15*r**4 - 4*r**4 - 9*r**4 - 11*r**3.\nAnswer: 11*r**4 - 11*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4367 is divided by 405.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -10*t + 224. Determine o(21).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1002*j - 496*j + 347 - 504*j + 35 to x*j + h and give h.\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33266 is divided by 923.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 + 8*b + 4. Let d = -96 - -101. Suppose -l = -d*l - 20. What is i(l)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 + 5*c. Let u be v(-3). Let s be (1\/u - 2)*-3. List the prime factors of (-195)\/6*(-4)\/s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m - 1. Let q be u(1). Factor -13*k**2 + 5*k**4 + 2*k**3 + k**4 + 5*k**2 + 2*k**q - 2*k.\nAnswer: 2*k*(k - 1)*(k + 1)*(4*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -441143 - -1?\nAnswer: -441142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -11*f**3 - 5*f**2 - 5*f + 1. Let q(w) = 6*w**3 + 3*w**2 + 3*w. Let z(p) = -3*c(p) - 5*q(p). What is the first derivative of z(l) wrt l?\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**2 + 2. Let z(x) be the first derivative of 23*x**3\/3 - 9595. Determine a(z(v)).\nAnswer: -46*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g. Let y(c) be the second derivative of -10\/3*c**3 + 1 - 32*c + 0*c**2. What is o(y(s))?\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d. Suppose -3*w + 11 = -49. Let j(c) = -67*c + 19*c + 19*c + w*c. Let y(z) = -14*z. Let g(k) = -8*j(k) + 5*y(k). Determine g(a(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/24 and -41\/183053.\nAnswer: 4393272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1928.663 and 1422.\nAnswer: -506.663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 59947 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n - 14*n = 2305. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2 + (sqrt(34)\/sqrt(2) + sqrt(17))**2 - -5*sqrt(272)) + (sqrt(68) - (sqrt(68) - (sqrt(68) + 3*sqrt(68)))*-4 - sqrt(68))\/sqrt(4)).\nAnswer: -140 - 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 20. Let u(n) = -5*n - 26. Let o be u(h). Let t(v) = v**2 + 7*v + 2. Calculate t(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/6)\/(4\/(-6)). Suppose 2*g = -4*x + 2, -4*x + 4 - 24 = 0. Find the common denominator of 83\/4 and 1 + z + 45\/g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5*1)\/(4\/4). Suppose 4*k = -3*s + 44, -4*k = -7*k + v*s + 4. Calculate the greatest common factor of k and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32744 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 23\/(5382\/(-36)) - (-5 + (-22)\/(-26)). Suppose -2 = 2*o - 0*o. Let n be 1 + -2 + (o - -4). Solve 4*q - 8 = -n*g, -s*q - 4 = -q - g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/424688 and -31\/767334?\nAnswer: 67525392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7561 = -37*i + 692*i + 8814 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 5 - 6)\/(1*-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2425942 is divided by 30708?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6288863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2567 and 17516?\nAnswer: 297772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1928 less than -858.9?\nAnswer: -2786.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 + 32 = w. Let f = -63 - w. Let x = f + -29. Calculate the remainder when 40 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3\/2 + 6735*z**2\/2 - 26916*z + 53816 = 0. What is z?\nAnswer: 4, 6727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 12*w**2 + 10*w - 2. Let h be t(-11). Let r be (-24)\/108 + 47\/h. Solve r + 10 = 5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 977*-126\nAnswer: -123102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 70, 5, -29, 15, -359, -4 in decreasing order.\nAnswer: 70, 15, 5, -1, -4, -29, -359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 496 + -716. Let j = s + 339. Suppose -5*t + 4*z + z = -70, 0 = z - 3. What is the greatest common divisor of j and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 217 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10120131 - -2?\nAnswer: 10120133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -30*p + 28*p. Let m = 4.7 - 0.7. Which is the nearest to -4? (a) 1 (b) p (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 15*s**2 + 7*s + 19. Let j = 112 + -124. What are the prime factors of b(j)?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 1:11 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6019 - 6015. Suppose -2*b = -3*o + 11, -5*b - 2*o - o + 25 = 0. Let p(t) = -v*t + b*t - 9*t. Determine p(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222, 220, 218, 216, 214, 212?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - (-5 + 3)) + 19. Let g be r\/(-10) - (-1)\/(-5). Suppose 0 = v + 2*m - 4*m - 7, 4*v = -3*m + 17. Sort v, -4, g.\nAnswer: -4, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 20456 + 2900 = 0. Let v = -2860 + x. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -164 + 56. Let d = 339 - 336. Suppose p + 3*b - 27 = 0, 6*b - d = 5*b. What is the greatest common divisor of k and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 1\/8, 3\/31, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0723265184 rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 8.8. Let o = 2.8 - g. Let w = 0.2 - -0.3. What is the second biggest value in 0, w, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28)\/16 - 1\/4. What is the remainder when (10\/(-7))\/(p\/14) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 51\/374*55*(1 - -1). Solve 2*p = 0, -3*p + 2*p - a = -5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 36 = 2*i, -f - 2*i + 5 = -10. Let d be f + ((-3)\/(-3) - -2). What is the smallest common multiple of 5 and ((-2)\/4)\/((-10)\/d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.16 and -0.0346.\nAnswer: -0.1946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 + 59.8. Let m = s - -9.2. Let c = m + -4.041. Round c to 3 decimal places.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (161*(-10)\/(-35))\/((-22)\/11).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 2*z - 2. Let v(d) = d**3 + 9*d**2 + 8*d - 2. Let f be v(-8). Let r(n) = n**3 + 0 - 3 + 2*n - 5*n + 0*n. What is f*r(b) + 3*s(b)?\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8101.\nAnswer: 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y + 12 - 11 + y**2 + 0)*(-2*y - y + y) as n*y**3 + f*y**2 + g*y + q and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times 0.0023?\nAnswer: -0.0345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oall when four letters picked without replacement from {l: 5, w: 5, o: 4, a: 4, r: 1}.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 825226, 1650450, 2475674?\n\"Answer: 825224*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 10 = -2*k. Suppose 2*r - k*r = 0. Suppose r*c + 3*c - 573 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-10) + (-22)\/(-5). Let l = -9 + 7. Let y = l + 6. Solve -6*h = -h - j*n - 21, 0 = y*h - n - 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 6*r - 3*r. Let z(q) = 7*q - 3. Let p be z(r). Let h = p - -64. Calculate the greatest common factor of 78 and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*419.\nAnswer: -419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-nine fifths of a minute?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2169643 divided by -27.\nAnswer: 2169643\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 583 by 2.\nAnswer: 583\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 5*g + 4. Is 5 a factor of y(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + (sqrt(153) - (sqrt(153) + 0))**2 + 5) + (4 + (sqrt(2448) - (2*sqrt(2448) + -2)))**2*-1.\nAnswer: -2511 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-2 + 0 + (-4 - -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i + 138 = 26 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 154510 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*i + v, -4*v - v = -5*i + 5. Suppose 0 = -i*a - 3. Let t(d) = 13*d**2 - d. Calculate the remainder when 26 is divided by t(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17755410.5 to the nearest one hundred thousand.\nAnswer: 17800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 3*f - 2*f)*(2 + 3 - 3)*(3*f**2 - 3*f**2 + f**3).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 425.482 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34447257 and 2337?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 157004, 627725, 1412268, 2510639, 3922844, 5648889, 7688780, 10042523?\n\"Answer: l**3 + 156905*l**2 - l + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*h - 2 = 0. Let s be -3*(3\/6 - 0). Let r = 1 + s. Which is smaller: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mh when two letters picked without replacement from {m: 6, a: 1, r: 1, h: 8}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (39 - 49) + 2 + (-4 - -4) + 18 + -1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 3322?\nAnswer: 6644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2158*p**2 + 39*p - 1. Let t(r) = 2*r. Determine f(t(i)).\nAnswer: -8632*i**2 + 78*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 9181*p + 45951. What is c(-5)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 2*s + 58 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 80357110 minus -622.3126?\nAnswer: 80357732.3126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5\/5 - 34252*h**4 - 4882207292*h**3\/5 - 46159927883024*h**2\/5 + 4996291063674574*h\/5 + 10177182783963004\/5 = 0 for h.\nAnswer: -28579, -2, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 217162?\nAnswer: 217157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/(-60)*(-5)\/12. What is the nearest to -2 in z, -1\/8, 5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.020418195 to five decimal places.\nAnswer: 0.02042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1691*a**5*d - 2*a*d + 3*a - 100*d wrt a.\nAnswer: -33820*a**3*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 10. Let f(t) = 10*t - 30. Let c(j) = f(j) + 3*h(j). Let z(x) = -42*x. Give z(c(k)).\nAnswer: -294*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10.413 and -2.87?\nAnswer: 13.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -h + 6*h + 40, -5*r + 3*h + 44 = 0. Suppose r*c - 32 = 188. Suppose -12 = -3*g - 0*g. Solve 3*t - 5*d = -10*d - c, t + g*d = -19 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/3641 and 46\/3979613.\nAnswer: 3979613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -9*f**2 + 4*f - 8. Let g(k) = 8*k**2 - 3*k + 7. Let l = -22736 + 22742. Suppose -34 - 1 = -5*c. Give c*g(j) + l*o(j).\nAnswer: 2*j**2 + 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 70?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 11. Let q = -11 - m. Let v(n) = n**3 + 4*n**2 + 2. Let l be v(q). Solve h - l*x - 8 = 0, -2*h - x + 0 = -1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 548072 (base 10) to base 6.\nAnswer: 15425212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/320 and -67\/32.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rl when two letters picked without replacement from {l: 1, q: 1, y: 1, c: 2, r: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -18*f**2. Let u(m) = -2*m**2 - 3*m + 3. Let o(r) = -2*r**2 - 4*r + 4. Let l(s) = 3*o(s) - 4*u(s). What is l(k(t))?\nAnswer: 648*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 184914000 rounded to the nearest one million?\nAnswer: 185000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u + 3*t = -3*u - 4263, 703 = 2*u + t. Calculate the remainder when u is divided by 93.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 9*s - 7. Let j be o(-10). Let u = j + 62. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, m: 4, q: 3}. Give prob of sequence qj.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-16))\/(8\/(-32))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 6. Let z(r) be the third derivative of r**4\/8 - 17*r**3\/6 - 3*r**2. Let t be ((-12)\/(-10))\/(1\/5). Calculate t*z(d) - 17*s(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one tenth of a second?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -12*k**2 + 8*k - 24. Let g be u(2). Let p = 695 - 465. Let y = p - g. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 4:36 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.0728 + 0.0728. What is the biggest value in 9, 0, g?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -98, -68, -5, -4, -2 in ascending order.\nAnswer: -98, -68, -5, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-522)*6\/8?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 11*h**2 + 11*h + 12. Let y be x(10). Let i be y\/(-66) - 2\/3. Put -3, i, 10, 2 in decreasing order.\nAnswer: 10, 2, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 4:12 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*w**2)*(8 + 1 + 0)*(-2*w**2 - 2*w**2 + 5*w**2).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**13\/(l\/(l*l**(1\/3)\/l))*l*l**5*l**3)**(1\/5) assuming l is positive.\nAnswer: l**(64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 11*x**2 - 9*x + 1. Let p be u(-1). Solve p = 2*d - 4, 3*h + 8 = -2*d - 0*d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**3\/2 - 39*f. Let b be (-11)\/55 + (-18)\/10. Determine q(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(18)\/sqrt(3)))**2 - (sqrt(28) + -4)**2 - (sqrt(504) - (sqrt(504) - -1*sqrt(504)))\/sqrt(8).\nAnswer: -37 + 19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -25944.807 times -5?\nAnswer: 129724.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2 + sqrt(2736)*3 - (sqrt(2736) + (6*2*sqrt(2736))**2)) + 4)*2.\nAnswer: -787956 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.6 + 31. Let g = o - 21. What is g rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22350, -928, 2, 1 in descending order.\nAnswer: 2, 1, -928, -22350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31.1 - -31. Which is the second smallest value? (a) -0.3 (b) 11 (c) h (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -2, -3, -6\/775, -1\/18, -416?\nAnswer: -6\/775","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 468 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 + 95 + 6*u - 286 + 94.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 6:01 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1830.9998068 - 1831. What is s rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 333 + 218. Is s a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/21337?\nAnswer: -2\/21337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -65, -63, -29, 49, 183?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/(6\/(-648)*-9)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1422 times -0.5\nAnswer: 0.0711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124 + 460*l - 893*l + 429*l.\nAnswer: -4*l + 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 56743657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 10*c**2 - 902*c - 6171. Give j(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 2*y - 2 = -3*w, 4*w = -2*y - 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46*v**3\/3 + 3314*v**2\/9 + 6640*v\/3 + 32.\nAnswer: 2*(v + 12)**2*(69*v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/527 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 120 + 50. Calculate the highest common divisor of f and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3254, 6510, 9754, 12980, 16182, 19354, 22490?\nAnswer: 25584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -w + 2, -3*w + 3*p = -16 + 1. Suppose -w*f + 550 = 5*x - 4*f, 0 = -4*f. Suppose x = -4*s + 274. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -15*p + 58. Let q be (-14)\/(-2) - (1 + p + -6). Calculate the highest common factor of 117 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3380)\/7072 - ((-75)\/(-40) - 2).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -154413255 - -22?\nAnswer: -154413233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 5:20 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -153 (b) 0.2 (c) 0.3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4363606 (base 7) to base 3\nAnswer: -1000021021201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5623.131 kilometers?\nAnswer: 5623131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1337928807 - 1337928782.00000006. Let h = -63 - -38. Let t = j + h. What is t rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.6 - 2.6. Let s = 37 + -31. Let o be (-32)\/14 + s\/3. What is the closest to o in -4, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 152, -59.\nAnswer: -59, -3, 4, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2207?\nAnswer: 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277 + 233 = -11*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {z: 4, q: 2, f: 3, v: 2, m: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3296, -6577, -9858, -13139?\nAnswer: -16420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 5. Let r = -1 - a. Let n = -12 + 20. What is the remainder when r is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 37, -4\/9, -35?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**3 - 15*a**2 + 21*a - 33. Let v(t) = -t**3 - t**2 + t - 2. Let h(z) = g(z) - 6*v(z). Let l be h(4). Put -5, l, -4 in descending order.\nAnswer: l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -v - 4*v - 4*q, 5*q + 2 = -v. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234969094 to the power of 1\/3, to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20714531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*r + 406 + 122, 0 = -3*r. Calculate the greatest common divisor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 7:10 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 7. Let r be 3*(3\/3)\/(-3). Let u(g) = 2*g**2 + 1. Let n be u(r). Calculate the highest common divisor of n and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -11*m**2 - 2*m - 13. Let i be s(-1). Let f = 4 + -2. Put f, -4, i in decreasing order.\nAnswer: i, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*g + 76 - 76 - 4*g in the form o*g + y and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 - ((-4 - -8) + -6). Solve 3*o + 11 = n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-8)*-2 - (-90)\/40. Let h be 1*(1 + -3 - -11). Solve 2*j - w = -h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562763269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 146743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6996, 6995, 6994, 6993, 6992?\nAnswer: 6991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/10 - 52\/8. Which is the closest to j? (a) 5 (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*m + 10. Let x(a) = -4*a**2 + a + 2. Let d(q) = -3135*q**2 - 38*q + 20*q + 3144*q**2 + 16*q - 3. Give m*d(y) + 5*x(y).\nAnswer: -2*y**2 + y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-27 - -19 - (0 + -5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 116?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 8 + 22. Solve 0 = -3*p - i - 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 15498*b + 1152377. Determine g(-74).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.23 - -0.07. Let w(m) = m + 7. Let b be w(-7). Let o(c) = c**3 + 6*c**2 + 2. Let v be o(-6). What is the third smallest value in b, p, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63.6 + 482.541.\nAnswer: 418.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 + (-988)\/60)*-15.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 - 18 - 10) + -12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (130\/(-24) + 2\/(-24))\/(1\/(-33926)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -652993*t**3. Let h(o) = -315*o**3. Calculate -12441*h(u) + 6*z(u).\nAnswer: 957*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f - 6. What is j(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**5\/60 - 13*m**4\/36 - 8*m**3\/3 - 6*m**2 - 6*m - 4. Factor i(c).\nAnswer: -(c + 1)*(c + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -11*m - 12*m**2 + m**3 - 14 + 19 - 31. Let j be u(13). Let d be 18 + -14 + j + -5. Which is the third smallest value? (a) -0.3 (b) 0.03 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -53, -3198.\nAnswer: -3198, -53, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 84?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1432054 (base 7) to base 3.\nAnswer: -100210110221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**2 - 3*o + 10. Let q be g(-2). Let f(v) be the third derivative of v**2 + 0*v**3 + 0*v + 0*v**q + 1\/120*v**6 + 0 - 1\/60*v**5. Factor f(n).\nAnswer: n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 172318*n**2. Let o(f) = -f**2. What is o(h(q))?\nAnswer: -29693493124*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117\/7 + -17. Let g = 17 + -12. What is the second biggest value in -2, w, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1084\/5 in 3\/8, 4, 3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n - 20. Let l be d(-22). Solve -l*q + 10 = 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41123434 (base 5) to base 4\nAnswer: -1101103002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10351047 divided by 3.\nAnswer: -3450349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80638091?\nAnswer: 109, 739799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93.56 + -0.56. Let k = 93.00000081 - i. What is k rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)*2*4.\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38514 + -4.\nAnswer: -38518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 4:29 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10101010 (base 2) to base 15\nAnswer: -b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 4*k**5\/25 + k**4\/5 - 4*k**3\/5 - 2*k**2\/5 + 8*k\/5 + 26. Let u(c) = 0. What is c?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01798071 to four dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3538 and 17202.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c + 3*c**3 - 5*c + (-c + c + 2*c)*(1012 + 78*c**2 - 2020 + 2*c + 1010 + (-3*c + 6*c - 2*c)*(-3*c + 2*c + 3*c) + 3*c - c**2 - 3*c).\nAnswer: 161*c**3 + 4*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 1\/650?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 21. What is the third derivative of -d**3 + 30*d**r - 3*d**2 + d**3 - 27*d**6 wrt d?\nAnswer: 360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 49118179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.5 (b) 3 (c) -0.115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1175*g - 3 - 1178*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*m - c, 3*m - c - 12 = -4*c. Let n(p) = -p**3 - 3*p**2 - p + 2. Let g = -2 + 0. Let j be n(g). Solve m = f - j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 20 = n - 10, 0 = -5*n - 4*b + 26 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 20, 35, 50?\n\"Answer: 15*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/(-2))\/(65\/52). Let j be (p - 3)\/(-1)*2. Suppose h + 4*v - j = 3, 0 = -3*v. Calculate the remainder when 6 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t - 4. Let i be v(7). Let c = i - -3. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -13, -16, 20.3, -0.5, -3\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-9 + 8 - 15 - -7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 5*v + 5. Let r be k(4). Let s(d) = -d**2 - 3*d + 3. Let b be s(-4). Suppose 9*a + 99 = -0*a. Sort b, a, r in descending order.\nAnswer: r, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - -5 - 1 - 0. Let y = 1\/8 + 3\/8. What is the closest to h in y, -3, 2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5358*i**5 - 5568*i**2.\nAnswer: 321480*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - 8\/(3 - -1). Let r = 24 + l. Solve u - 2*x - 10 = 0, -3*x + r = 4*u - 4*x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2\/3 (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486526?\nAnswer: 2, 243263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.26 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 1138?\nAnswer: -1141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25944587336.000024 - 25944678489. Let w = -91159 - i. Let q = w + 6. Round q to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59 - 65 + 113)*(-3*y - 5*y + 2*y - y**3).\nAnswer: 11*y**3 + 66*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 43166211\/2 or 21583105?\nAnswer: 43166211\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (52 - 25) + -35?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -66, -56, -42, -24, -2?\n\"Answer: 2*b**2 + 4*b - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -55.1, -2\/7, 72 in decreasing order.\nAnswer: 72, -2\/7, -11, -55.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 0*c + h - 6 + 6 + 10, c + 16*h = 44 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 0*v**2 - v**2)*(83*v**2 - 2*v + 2*v) + (v**4 - 5*v + 5*v)*(0 + 2 + 0).\nAnswer: -164*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 136*l**3 - 3*l**2 - 3*l + 5. Let r(y) = 272*y**3 - 5*y**2 - 5*y + 8. Calculate -5*k(b) + 3*r(b).\nAnswer: 136*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6832 by -7.\nAnswer: -976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/13*-9)\/((-69)\/161)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 10:08 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 172\/(-1634) - (-40)\/19\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*i - 3 + 26*i - 35*i + 11*i + (3 - 3 - 2*i)*(238 - 459 + 410) as h + w*i and give w.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from qhh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5624350?\nAnswer: 2, 5, 197, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43.94 - 44. Which is the nearest to 1? (a) 0.3 (b) v (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = 49*s + 16*s. Let k(c) = 8*c**2 + 8*c + 15. Let y(x) = -15*x**2 - 15*x - 29. Give s*y(a) - 11*k(a).\nAnswer: 2*a**2 + 2*a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = 20*j - 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, 1, 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 14*d**3 - 9*d**2 + 6*d + 17. Suppose -5496*s + 5503*s - 28 = 0. Let y(p) = 5*p**3 - 3*p**2 + 2*p + 6. Calculate s*v(a) - 11*y(a).\nAnswer: a**3 - 3*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-344)\/(-54)*(33 - (-1242)\/(-36))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 44, 20 in decreasing order.\nAnswer: 44, 20, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = x + 6, 5*x + 0*x - 40 = -4*j. Suppose 8*l - 297 = j*l. Calculate the remainder when l is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341*i + 34*i + 8052 = 1298 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79897 divided by -13.\nAnswer: 79897\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 174 (base 9) to base 6.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 + u + 2. Let v(m) = 9*m**2 + 7*m + 14. Calculate -3*v(o) + 21*y(o).\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*m + 5560 = 11*q + q, -3*m + m - 151 = -4*m + q for m.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7036952 is divided by 1322.\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 12*a**3 - 6*a**2 - 11*a**3 + 6*a**2 - 7*a**2 + 8 + 2*a. Suppose 5*k - 3*k = 12. What is r(k)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 5*z - 43, -170*u - 5*z + 64 = -166*u + 3*z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 + 1 - 2*d**2 + 0*d**2 + (31*d + 19 - 19)*(3*d + 2*d - 3*d) as w*d + p + o*d**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203669.\nAnswer: 203669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*l**4 - 10*l**3 - 8*l**2 - 282*l**4 + 141*l**4 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6*w - 3. Let c(k) = -2*k - 1. Let t be -5*(5\/(-25))\/1. Let x be 2*t + (-6 - 1). Let i be 6\/x*(-10)\/(-4). What is i*g(l) + 8*c(l)?\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/171 and -24\/209.\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 387694*f*k*p - f*p**3 + f - 4501907*k*p**3 - 1 wrt f?\nAnswer: 387694*k*p - p**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83425, -83415, -83399, -83377, -83349, -83315?\nAnswer: -83275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnc when three letters picked without replacement from {h: 4, x: 2, y: 2, n: 2, c: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22865 + -22864.8. What is the smallest value in 0.1, f, -86?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238588616?\nAnswer: 2, 7, 53, 80387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*n - 0*n, -2*d = -4*n + 8. Let q = 3 + -3.2. Let p = q - -0.2. Which is the biggest value? (a) d (b) 5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (5 - 1) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11.65, 2\/75, 0, -1 in decreasing order.\nAnswer: 11.65, 2\/75, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3062 from -27743714631.\nAnswer: -27743711569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -163594 and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/3)\/w**(-1))**(-2\/57) assuming w is positive.\nAnswer: w**(-8\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttttt. What is prob of sequence tt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 12:20 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -552*t + 550*t + 2880. Calculate the smallest common multiple of t and 630.\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 2, 3, 2, -1, -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - g + 7 = 0, 4 - 17 = 4*s + 5*g. Suppose -c + s = -1. What is the third smallest value in -1\/4, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 12843*u + 6208. Is b(49) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d - 13. Calculate s(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111 and 608539?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 400287039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1191)\/(-1 + 1 + -1 - 2). Let l = 485 - p. Calculate the remainder when l is divided by (-23)\/(1\/(-2 - -1)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-52)\/((-16865)\/(-1875) + -3 - 24\/4) a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*l*n**3*z - 7*l*n**2*z + 6*l*n + 274*l + 11*n**3 + 161*n**2*z wrt z.\nAnswer: 6*l*n**3 - 7*l*n**2 + 161*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 298892773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 12:37 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.14 - -17. Let o = 0.16 - i. What is the closest to 0.1 in 0, o, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - x + 3*x = 7, 4 = -x. Let b = 55 + j. Let m = 60 - b. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvbm when four letters picked without replacement from cvvcmmccccb.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 4*x + 1. What is n(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 13) to base 11.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, q: 2, y: 1, p: 1, n: 2, c: 2}. Give prob of picking 2 n.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -200*u**2 - u + 8. Let p(y) = 200*y**2 + y - 9. Let i(n) = -6*p(n) - 7*z(n). Is i(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 33904*f**2 + 30*f + 22. Let n be o(-13). Suppose n = -3*z - 7860592. What is z rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*n + 2 = 0. Suppose 14 = n*u - 0*u. Let o = -4 + u. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3 (b) 2\/9 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 11 - 5)*(3 + 2*o - 3)*(-2*o - 3*o + 3*o).\nAnswer: 140*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59946*j = -59951*j - 3*l - 49, -3*j - 2*l - 30 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 270112956?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104\/69 - -27\/23. Which is the nearest to 1? (a) x (b) -0.5 (c) 0.6 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 m, and 1 f when three letters picked without replacement from xyyjefmmf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1628*b**2 - 2457*b**2 - 4507*b**2 - 7385*b**2.\nAnswer: -12721*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 71 = -4*c - 2*l, -2*l = 6. Let k = 44 + c. What is the highest common factor of k and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11480*f*q**5 + 1832*f*q + 4*f wrt q.\nAnswer: -229600*f*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6012006*j**3\/5 - 164164*j**2 + 16810*j\/3.\nAnswer: 2*j*(3003*j - 205)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102\/251 + 24864\/57479. Let v = 3356\/5725 - d. Let a = v + -229\/275. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*t - 2. Suppose 16*m - 18*m - 6 = 0. Let r be (0\/((-1)\/(-1)))\/(m\/3). Put -3, r, t in ascending order.\nAnswer: -3, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/1*5\/75*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**6\/120 + y**5\/12 - y**4\/3 + 2*y**3\/3 - 13*y**2 - 56. Let f(n) be the second derivative of g(n). Factor f(w).\nAnswer: -(w - 2)**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1335, 4.89.\nAnswer: -0.5, 4.89, 1335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g. Let c(u) = -5*u**2 + 824197. What is b(c(l))?\nAnswer: 20*l**2 - 3296788","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/21 - 992\/651?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 153*k**2 - k. Let v(s) = 232*s - 1. Determine v(o(m)).\nAnswer: 35496*m**2 - 232*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -0.1438705126408?\nAnswer: -4.8561294873592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48.4 - -2.4. Let x = 0.1 + 45.8. Let g = x + v. What is the nearest to 1 in g, 1, 5\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/47367?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 l when three letters picked without replacement from {l: 2, y: 5, v: 8, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(1800).\nAnswer: 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/4 of a century?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13353 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 16*v - 19. Calculate the remainder when o(9) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/45288 and -29\/444?\nAnswer: 45288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.039827 + -27.55420134\nAnswer: -27.51437434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = 4*o + 4419. Suppose 4*a + 3*p = o, 0*p + 3*p + 509 = 4*a. Let n = a - 17. Calculate the remainder when n is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 58*s**3 - 9*s**2 - 5*s + 8. Give z(2).\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 23927, 96181, 216769, 385691, 602947, 868537, 1182461?\n\"Answer: 24167*u**2 - 247*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d + d = -54 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (16 - 24 - -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19327 is divided by 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9045 by 135.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 680*m - 34*m - 1311*m - 1554*m.\nAnswer: -2219*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -74c9 (base 16) to base 14\nAnswer: -ac77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 4*c**2 - 3*c - 7. Let k be g(5). Suppose -k*x = -5 - 1. Let w = 8 - 4. Put 3, x, w in decreasing order.\nAnswer: w, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 6*i - 1. Let v be f(-6). Let j(s) = 2*s**2 - 2*s - 1. Let k be j(v). Suppose 0 = -2*g + 37 + k. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2229, 0, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**3 + 3*r**3 + 0*r**3 + (2 - 2 + r**3)*(-46 - 56 - 20).\nAnswer: -123*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - t. Let w(l) = -5*l**2 - 18*l - 14. Let d(i) = -3*p(i) - w(i). Let o be d(-10). Let z(u) = 2*u - 6. What is z(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -145*a - 197. Let p(i) = -290*i - 343. Determine 7*j(h) - 4*p(h).\nAnswer: 145*h - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29456652?\nAnswer: 2, 3, 23, 106727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -b8 (base 12) to base 2\nAnswer: -10001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 - 22. Let g(a) = a**3 - 7*a**2 + a + 5. Let o be g(7). Suppose o = 2*n - n. What is the remainder when f is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**4\/8 + p**3\/2 + 3*p**2. Let t(s) = -5*s - 87. Let d be t(-18). Determine q(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3385 is divided by 170?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*(4 + sqrt(891) + 3*sqrt(891)))**2.\nAnswer: 41472*sqrt(11) + 2055168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -488099 or -488225?\nAnswer: -488099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56947 is divided by 1287.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -65, -116, -179, -254, -341?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-2 - (-1 + 1 - -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27231032*v**4 + 3743158 wrt v.\nAnswer: 108924128*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -119, 4, 2.\nAnswer: -119, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 14.3, -1\/8, 4, -4\/21?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -8, 16, 74, 178, 340, 572?\nAnswer: 886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 192613840 divided by -815\nAnswer: -236336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 4*l**2 - 2*l + 1. Let z be 4\/(-16)*(-4)\/1. Let x be (21\/(-6) - z)*(-4)\/(-6). Let b(k) = -2*k**3 + 4*k**2 + 3*k - 2. What is x*a(j) - 2*b(j)?\nAnswer: j**3 + 4*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 32*s - 155. Give n(-35).\nAnswer: -1275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 21*n**2 + 18*n + 66. Let c be r(20). Does 12 divide ((-4)\/(-3))\/(c\/2574)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3.2, 9, 8, -0.4, -1\/4, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 5:55 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**6*((z\/(z*z**(1\/4)))\/z)\/z*z)**(-23))**(-7\/4) assuming z is positive.\nAnswer: z**(3703\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - ((-4)\/2 + 4). Let y = 6 - f. Suppose -v - 2*v + 54 = -4*l, y*l = 0. What is the highest common factor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*a - 38*a - 8*a**2 - 5*a**2.\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42455.01 microseconds to minutes.\nAnswer: 0.0007075835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 5*p + 5, 2*f + 2*p + 2 = -0. Sort f, 19, 4 in descending order.\nAnswer: 19, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 302 - 301.5. Suppose 16*q = 19*q + 9. Sort u, 5, q, 17.\nAnswer: q, u, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1892095 and 0.4.\nAnswer: 1892095.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9950 + 776129\/78. Is i > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 16*n + 942 = 17*n, 3813 = 4*u - 5*n. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4654755.75 less than -0.5?\nAnswer: -4654756.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0584 - -3.0584. Let r = 25\/6 - 17\/6. What is the third smallest value in 0.11, r, g, -1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - i + 61 = 8*n, -65 = -4*n - 5*i. Solve 147 = n*q - 36*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 12, 17, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -15*x**2\/2 - 94*x + 165. Let y be l(-6). Which is the closest to -1\/11? (a) 1\/4 (b) -0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 751 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/43506 and -31\/58008?\nAnswer: 174024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/3))**(-2\/93)\/(n**(-6\/7)\/n*n**(-2\/21)))**24 assuming n is positive.\nAnswer: n**(30392\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**3 - 3*n**2 - 15*n + 32. Let s be l(-4). Calculate the greatest common divisor of s and 767.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(2\/4 - 0). Let u(p) = -6*p - 1. Give u(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**5 + 14*u**3 - 4*u**2 - 24*u + 16 = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*a**2 + 2*a + 2*a**3 - 4*a + 2*a to the form s*a + y*a**3 + u*a**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 81334*q - 20. Let w(i) = 27112*i - 7. Let t(j) = 5*v(j) - 14*w(j). Let h be t(1). What is h rounded to the nearest one thousand?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 442 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1986\/(-15)*(-10 + 0\/2). Suppose -y = z - 5333. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1200441.9253 - 1200384. Let c = g - 0.8903. Let z = -57 + c. Round z to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.1030536 and 85795.\nAnswer: 85796.1030536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*z - 0. Let a(t) = -6*t**3 - 3*t + 3. Let h be a(z). Does 6 divide (-117)\/(-5) - h\/85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.278 + 114.722. Let a = 142222038.5 + -142221923.49999796. Let n = s - a. What is n rounded to 7 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -636 + 1196. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772151729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**7\/105 - 133*d**6\/40 - 629*d**3\/6 + 113*d**2 - 1. What is the first derivative of v(m) wrt m?\nAnswer: 8*m**3 - 1197*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 512407 and 9017?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*n + 233*n = 81*n + 1842 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 8*a - 29. Let u be ((-40)\/30)\/((-3)\/18). Suppose -u = q - 16. Let s be p(q). Solve y - 2 - 1 = -k, s = 5*y - 5*k for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 8*x**3 - 4*x + 6. Suppose 2*b + 3*d = b - 5, -2*b - 6 = 4*d. Let c(r) = -r**3 + r - 1. Give b*m(i) + 5*c(i).\nAnswer: 3*i**3 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.1, 1, 2\/31.\nAnswer: -0.3, 2\/31, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 13) in base 15?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*d + 9*d + 5*d - d to z*d + p and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 18*n**3 - n + 1. Calculate x(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3794\/5962*3\/(-7)*-1?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/5940*-11)\/(2\/(-6))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -8. Let j be (2\/4)\/(u\/6). Let r = -3 - j. Which is the closest to 0? (a) -2\/15 (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 9. Let y(k) = 4*k - 35. Let w(i) = -9*r(i) + 2*y(i). Let j be w(8). What is the greatest common factor of 12 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 43 + 55143*k**3 - 23 - 9778*k**3.\nAnswer: 45365*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7))**(-49)\/(f*f\/((f*(f\/(f**(-1\/2)*f))\/f)\/f)*f*f*f*f**6*f) assuming f is positive.\nAnswer: f**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -5*g**2 + 185435*g + 1669320 = 0?\nAnswer: -9, 37096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 25, 1, -2, -168, 4.\nAnswer: -168, -5, -2, 1, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (10 + -10)) + 0 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 18 = 18. Let w be 4\/m - 35\/45. Suppose -3*j - 5 = 1. Which is the closest to 2\/5? (a) w (b) j (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8*9\/(-180) + (-120066)\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398641776?\nAnswer: 2, 3, 13, 109, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 2*s - o, 0 = 3*s - 2*o - 106 + 19. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + m - 49. Let k be l(5). Sort k, -13, -4 in descending order.\nAnswer: -4, -13, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/7 + 501*o**2\/7 + 1005*o\/7 + 503\/7.\nAnswer: -(o - 503)*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - 65965048.31642?\nAnswer: -65965064.31642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(-2) - (-5 - -9). Let k = 97 - 289\/3. Which is the closest to y? (a) -2 (b) 0.1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4323 + 6096. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 u when three letters picked without replacement from uiwrwguwiuuurnuriu?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/5))**(-8)\/(j**(-1\/6)\/((((j\/(j*j\/(j\/((j**10\/j)\/j))*j))\/j)\/j)\/j)) assuming j is positive.\nAnswer: j**(-547\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 81\/5, -0.3, 309, 2\/17, -1\/2 in decreasing order.\nAnswer: 309, 81\/5, 2\/17, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2 + d**2 + d - 6*d + 0*d. Let r be s(6). Solve -3*w - 3*q - 31 = q, -5*w + r*q - 9 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 9:59 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001111 (base 2) to base 3.\nAnswer: -2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 13*s**9\/126 - 7*s**6\/120 - 3*s**5 + s**4\/12 + 3*s**3\/2 - 5034*s**2. Find the third derivative of h(k) wrt k.\nAnswer: 6240*k**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**7\/18 - w**4\/12 - 7*w**3 + 2*w + 7. Let p(a) be the third derivative of f(a). Let d(i) = -i. What is d(p(k))?\nAnswer: 140*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*n = 0. Let o be 2560000 - n*4\/12. What is o rounded to the nearest one hundred thousand?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 q, and 1 a when four letters picked without replacement from {a: 1, b: 3, q: 5, x: 3, e: 1, h: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21028 - -2773. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -141.0796 - -141. Let n = o + 0.3791. Let j = 0.3 - n. Round j to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s**2\/2 + 15*s + 9. Let v be n(11). Let f be (-25)\/(-12) - v\/(96\/18). What is the smallest value in f, 1\/5, 1\/6, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 5*c**2 + 3*c - 3. Let r be d(5). Let z(v) = -r + 5*v**2 + 8*v + 12 - v**3. What are the prime factors of z(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 27 = -4*n. Let o be -8*1*(-4)\/(-48)*6. Sort n, o, -3 in increasing order.\nAnswer: o, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 700\/(-480)*-8*54\/63?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99\/(-6)*392\/(-20482)*133.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 292 - -11 - (4 - 11). Let k be 0 + (-2)\/14 + d\/1190. Which is the nearest to 4? (a) 9 (b) k (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -1\/36*b**4 + 1\/60*b**5 - 6*b + 0 + 0*b**2 + 0*b**3. Determine h so that d(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 317603 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 3. Let m be -14 + 31 + -15 - 16\/11. What is the biggest value in 31, m, u?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 174 - 139. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in nanograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 66\/(-12))*(-4)\/(-10)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 20*i + 91. Let x(v) = -v - 10. Determine x(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (-4 - 105\/(-25)). What is the biggest value in -3, 27, n?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5121422 (base 7) to base 11\nAnswer: 387678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 179.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 - -48. What is the lowest common multiple of c and 16 + 0 + (-6)\/(-3)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*h + 4206 = a, 12593 = 3*a + 4*h. Suppose -1397 = -w - 3*q, 0 = 2*w - 5*w + 4*q + a. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32191470?\nAnswer: 2, 3, 5, 357683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 971 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16649337361401038.9999939 + 16649336442981364. Let j = 918419779 + u. Let y = j - 104. Round y to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 + 77. Suppose 2*x - t*x = 0. Suppose -9 = -m + o - 4, -3*m - o + 11 = x. Calculate the highest common divisor of m and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 20 - 13 = 0. Suppose 211 + 31 = l*v. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 - 14*t - 3. Let l be 8\/6*117\/(-26). Let o be g(l). What is the second derivative of 3*x**4 - o*x + 3*x - 13*x**4 wrt x?\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/77)\/(6*86\/1419*(-2)\/4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 10514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4)\/k*k**(-2\/15))\/(k**(-1)\/k*k**(2\/29)))\/(k**(-1\/5)*k**(-2\/19)*(k*k**(2\/7)*k)**(4\/21)) assuming k is positive.\nAnswer: k**(-1349576\/404985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 t when three letters picked without replacement from {t: 5, i: 5, f: 8}?\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -7*m**4 + 2*m**4 + 5*m**4 - 3*m**3 + 3*m**4 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in six fifths of a hour?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96418 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 422179325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3001330 - -32?\nAnswer: -3001243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g = -6*g. Suppose -63 = -5*a - 2*h + h, -2*a + 3*h + 32 = 0. Suppose -5*v = -4*m + 8 + a, 17 = 4*m - v. Solve g = 7*k - 3*k + m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 400303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 4*q = 16*f, 3*f = -2*q + 42. Let b = 15 - 10. Suppose 0 = -s - 2, -242 + 17 = -b*h - 5*s. Calculate the remainder when h is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41299+2437\nAnswer: -38862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**2 + 30*z + 5. Let i(d) = -d**2 + 12*d + 2. Let p(j) = 5*i(j) - 2*l(j). Let s(w) = 412*w**2 - 4. What is s(p(r))?\nAnswer: 412*r**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -2*r**2 - 10*r - 648. Let c(s) = -3*s - 10. Suppose -4*g + 1 + 23 = 0. Let t(q) = g*c(q) - 5*l(q). Give t(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/5 (b) 13\/4 (c) 0.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nk when two letters picked without replacement from {h: 2, k: 1, b: 3, i: 1, n: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 6*j**2 + 2*j**2 + j.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.2 - 3.1. What is the biggest value in b, 0.17, -5?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 868 * -37\nAnswer: -32116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**13)\/r*r)\/r*r*r)**(-26))**44 assuming r is positive.\nAnswer: r**12584","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -539\/3 - -181. Suppose -13\/3*n**4 - 11\/3*n + u*n**5 + 7\/3*n**3 + 11\/3*n**2 + 2\/3 = 0. Calculate n.\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 51*g**3 - 7*g**2 - 6*g + 9. Let f(p) = 50*p**3 - 6*p**2 - 5*p + 8. Give 6*f(b) - 5*w(b).\nAnswer: 45*b**3 - b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*f + 91*f - 9681 = f + 1264 for f.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + (-192)\/(-42) - (-4)\/(-7). Let q = 2546\/13 - 196. Which is the second biggest value? (a) q (b) 3\/4 (c) 43 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.728863529 rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 86 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/410*180\/(-135).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 90186829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -14, -1, -122?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 7, -1, 1 in ascending order.\nAnswer: -1, 1, 7, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by 4701805\nAnswer: -26\/4701805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 + 3*y**2 + 2*y**3 + (-2 + 2 - 3*y)*(49 + 25*y**2 - 49).\nAnswer: -73*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 28\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 2*s**2 - 3*s - 2. Let b(x) = 2*x**3 - 5*x**2 - 6*x - 5. Let z(p) = p**3 - 6*p**2 + 5. Let n be z(6). Give n*g(d) - 2*b(d).\nAnswer: d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4266, 8533, 12800, 17067, 21334, 25601?\nAnswer: 29868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y + 56*y + h - 96 = 29*y, 0 = 2*y - 2*h - 2 - 62 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -76673702 and -50.\nAnswer: -76673752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**6\/120 - p**5\/30 + p**4\/12 - 2*p**3\/3 - 3*p**2. What is v(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 4. Let w = k + 17. Suppose w*x = 3*x + 56. Calculate the remainder when 54 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -6 (c) -0.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (312\/3822)\/((-1)\/7*-1).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -22. Let g(f) = -3*f**3 + f**2 + 2*f + 2. Let j be g(-1). Suppose -x - j*x = -6*x. Solve 2*t - 2 = x, q + d*t = -1 + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7*m + 3. Let o(c) = 2*c + 16. Let l be o(-6). Let r be ((-99)\/11)\/(6\/l). Does 9 divide y(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 9*v**3 - 47*v**2 + 27*v - 35. Let k(q) = 7*q**3 - 46*q**2 + 30*q - 36. Let n(l) = -5*k(l) + 4*r(l). Give n(-43).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggux when four letters picked without replacement from xugggugug?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3485360 divided by -22930.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/8 <= 246\/2298719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0100949842 to six decimal places.\nAnswer: -0.010095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4354043 less than 1?\nAnswer: 4354044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -6. Let a(o) be the first derivative of 2*o**3\/3 + 5*o**2\/2 + 3*o - 2. What is the units digit of a(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 - 32*c + 111. Let z be g(5). Let r = 8 - 4. Solve -r*q + z = -3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 3*k = 3816. Let l be (-2)\/(-6)*(0 - 3 - k). Let d = -13895\/99 + l. What is the third biggest value in d, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7517, 0 in descending order.\nAnswer: 7517, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*k = 2*o, -4 = -4*o + 5*k. Let b = -18.69 + -0.31. Let i = b + 21. Is o at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276128 is divided by 9241?\nAnswer: 8139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + 184970 + 3564*l**2 - 184970)*(-3 + 1 + 3) to the form k*l**2 + q*l + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3583*g - 28220*g**2 + 28175*g**2 - 3583*g.\nAnswer: -45*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 7*v + 14. Let k be h(6). Solve 4*p = -0*s + 5*s - k, -4*s = -5*p - 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 + 25*w**2 - 23*w**2.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 11994178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 3*g**2 - 31*g + 9. What is the remainder when l(5) is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, 20, 74, 180, 356, 620, 990, 1484?\n\"Answer: 3*m**3 - m**2 + 2*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**6\/360 - v**5\/20 - 19*v**4\/6 + 27*v. Let q(t) be the third derivative of d(t). Calculate q(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*o**2 - 40 + 40.\nAnswer: 25*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/13 - 16*c**3\/13 - 32*c**2\/13.\nAnswer: -2*c**2*(c + 4)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -13*p**2 - 1. Let a(q) = 2*q**2 + q - 1. Let u(h) = -14*a(h) - 2*r(h). Let f be u(-8). Solve 3 = 3*n + m + 4, -3*m - 12 = f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2 - g**2 - g**2 + 3*g**2 to the form l*g + j + p*g**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007661123 rounded to seven dps?\nAnswer: 0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 b when four letters picked without replacement from brewwwrrbebe.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5022)\/(-36))\/(-31)*(-6)\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.422 times 0.00905\nAnswer: -0.0128691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 1. Let t(h) = -3*h - 1. Let m(d) = -6*s(d) - 2*t(d). What are the prime factors of m(3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*f**3*k**2*s + 4*f**3*k**2 - 12*f**3*k - 4*f**2*k**2 - f**2 - 66*f*k**2*s wrt f.\nAnswer: -72*k**2*s + 24*k**2 - 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9609*c = -9841*c - 2088 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 278251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404 = 4*j - 0*j. Let i = j - 48. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -283*r**4 - 203*r?\nAnswer: -3396*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 86 = -2*w, 4*w + 105 = 5*g - 106. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 475620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyyupyyrjrypyu. Give prob of sequence yp.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -18558 and -501074\/27 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, f: 2, r: 2, a: 2, n: 1, y: 10}. What is prob of picking 1 y and 1 n?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 1. Let u(z) = 145*z**2 + 175 + 14*z**2 - 19*z**2. Let x(l) = -175*f(l) - u(l). Let o(k) = -k. Determine o(x(m)).\nAnswer: -35*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/12)\/(150\/(-24) + 6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 k when two letters picked without replacement from {k: 3, w: 2, g: 9, p: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 + -18 + 223028 + 18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -155 - -53?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42\/28 + 0 + (-5)\/2. What is the closest to -2 in 5, s, -2, 1\/29?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/7 + 6\/35. Put -0.4, w, -2\/9 in descending order.\nAnswer: w, -2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.314 to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 16*w - 8. Let k be t(22). Let j = k + 143. Put -1, -4, 5, j in decreasing order.\nAnswer: 5, j, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 66467126 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 5. Let h = -3 + a. Differentiate -1 + 1 + h + f**3 with respect to f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*b - 5. Let w be 144\/(-210) + 2\/b. What is the third smallest value in 0.4, -1, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 10.430639 and 312.\nAnswer: 322.430639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*j + 5, 0 = 4*j - 2*j + 2. Which is bigger: 3\/8 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 8.5445.\nAnswer: -3.4178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 218 - 123. Suppose 0 = 90*v - x*v + 50. Solve -2*b + v = -h + b, 20 = 2*h + 2*b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/14 and -109\/1086.\nAnswer: 7602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + 45. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 558848 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z + 32*z - 56 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8029.824 days in milliseconds?\nAnswer: 693776793600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -470323*k**6 - 15*k**5 + 68498*k**2 + 145.\nAnswer: -56438760*k**3 - 900*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, x: 4, q: 5, d: 5}. What is prob of sequence dddi?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -879*p - 349*p - 134 + 134.\nAnswer: -1228*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -467\/2? (a) 2 (b) 2\/3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -23138 times -194\nAnswer: 4488772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*m - 1, 4*i - 45*m + 46*m - 15 = 0. Let f(z) = -z - 1. Let j(c) = -6*c**3 - 4*c - 4. Determine i*f(g) - j(g).\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 >= 261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 7 in decreasing order.\nAnswer: 7, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 186449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93587 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 39?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 32 - ((20 - 15 - (22 - 10)) + 4)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*v - 8 = 0, w + 0*v - 22 = 4*v. Let s(g) = 3*g**2 + 2*g - 5. Let q be s(5). Calculate the greatest common divisor of q and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 97511178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from kdddcvrkd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221 = -5*r + 246 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2097772 - -1.3902638. Let i = -1.6 + m. What is i rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/14996 and -81\/322?\nAnswer: 104972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1934.6 + -1935. Which is the second smallest value? (a) 1\/2 (b) 0 (c) 2\/15 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) 39 (c) -51 (d) 2 (e) 1 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 4*d + 5. Let c be z(0). What is the second derivative of -23*v**c - 6*v**3 - 9*v**3 + 11*v + 15*v**3 wrt v?\nAnswer: -460*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 10*n**2 - 6*n - 65. What is l(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0*c + 315 = -2*c, 0 = -3*y - 5*c - 189. Is 7 a factor of (1 - -14)*y\/(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4178440234 to the nearest integer?\nAnswer: 64641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -30. Let f = -275 + 285. Suppose f = -17*o + 19*o. Solve o = 5*h + u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102 + 89. Let z = x - 24256\/127. Which is bigger: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -54143610 + -4?\nAnswer: -54143614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 9. Suppose 56*y - 36 = 20*y. Which is the closest to y? (a) o (b) 20 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 48. Calculate the remainder when 29 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*k**5 + 321*k - 1 wrt k?\nAnswer: -660*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 97, 192, 285, 376, 465, 552?\n\"Answer: -y**2 + 98*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 37 = 3*y, -34755 = -3*x + 6*y - 34830 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {b: 7, d: 4}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 14*v + 5. Calculate the remainder when 8\/6*162\/4 is divided by s(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 117994691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*u - 0*u. Let y = 153.66 + -1.66. Let o = y + -151.99. Put 0, 1, u, o in decreasing order.\nAnswer: u, 1, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mop when three letters picked without replacement from {b: 2, p: 1, o: 1, d: 1, m: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2611 and 6.\nAnswer: 6.2611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20.671 - 6.295. What is s rounded to zero decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**3 + 15*q**2 - 6*q + 5. Let i be y(-11). Let u = i + -3064. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231, 75, -175, -513, -933?\nAnswer: -1429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008 less than -219902?\nAnswer: -219901.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, -0.1, -105, -3\/11, 1\/994?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -144 + 142. Let l = 146 - 154. Put -3, l, s in decreasing order.\nAnswer: s, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from {n: 1, w: 2, e: 2, l: 1, c: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 60 (base 7) to base 2\nAnswer: 101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 155843, 155847, 155853, 155861, 155871?\n\"Answer: g**2 + g + 155841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10904 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 40 - -1313?\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-34 + 19)*(-2)\/3. Suppose -5*r - c*d = -15*d - 25, 5*d + 16 = 2*r. Let j = -3 + -1. Put -5, r, j in ascending order.\nAnswer: -5, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (22 - (22 + 25)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g - 2*g**2 + (3*g - 1 + 1)*(g - g + 2*g))*(113*g**3 - 9830*g**2 + 9830*g**2).\nAnswer: 452*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.98 - 5. Let f = o + 2.02. Let t = 27 - 82\/3. Which is the second biggest value? (a) t (b) f (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**2 - 34*r - 7. Let p be s(-13). Let w = p - -81. Does 2 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, -1, 3.\nAnswer: -8, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -18, -26, 114 in descending order.\nAnswer: 114, -1, -18, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 0 + (-3 - (-9 - -6)) - -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r + 0*l + l - 19 = 0, -5*l = -79*r + 75*r + 6*r - 267 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 229*m**2 - 1758*m - 14. Calculate the remainder when j(8) is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*c, 2 = -3*m - 4*c - 5. Let n be (-31 + 3\/3)\/((-3)\/3). Let q = n + m. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1 - -3) + 2)*1. Let i(x) = -3*x**2 + 3 - f + 1. Let r(n) be the third derivative of n**4\/8 - 22*n**2. Determine r(i(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/20*(0 - (-2)\/2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/(-72)*(-1)\/(5\/(-3)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 18*b**2 - 18*b + 23. Let q be y(-19). Suppose -2*h - 2*h - q*d = -1692, 5*d + 1245 = 3*h. List the prime factors of h.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pponbo. Give prob of sequence bb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42266, 33760, 25254?\nAnswer: 16748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m**4\/9 + 28*m**3\/3 - 202*m**2\/9 + 56*m\/3 - 40\/9 = 0.\nAnswer: 2\/5, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29933006.\nAnswer: 2, 397, 37699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3)\/p)**(-24)\/((p**3*p)\/p*p**(-2\/19))*(p**(2\/7))**24\/(p**(-2\/13)\/(p*p*p**(-6))) assuming p is positive.\nAnswer: p**(27865\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 89024 divided by -1\nAnswer: -89024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*r - 1432962*r**2 + 291*r - 149*r.\nAnswer: -1432962*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68) + sqrt(68) + -2*sqrt(68) - sqrt(68)) - sqrt(68)) + 1)**2 - (sqrt(68) + 3 + sqrt(68) + 0)**2.\nAnswer: -212 - 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 - 86. Let b be ((-10)\/o)\/(3*(-2)\/(-45)). Sort 27, 4, -2, b.\nAnswer: -2, 4, b, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -178 - -492. Let k be ((-573)\/(-6) - 2)*(-21 + 19). Let d = i + k. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 20 = -3*i, -2*w - 705*i - 12 = -704*i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 806 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(14\/3))\/d**(-23)*(d\/(d\/(d*d**(-11\/2)))*d)\/d**(-2\/33) assuming d is positive.\nAnswer: d**(1115\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 24*w + 10. Let b be 1\/(((-2)\/4)\/((-8)\/16)). Let k(o) = o. Let s(q) = b*t(q) - 5*k(q). What is the derivative of s(d) wrt d?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2192600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 1\/5*u**5 + 78 - 162*u + 0*u**3 + 0*u**4 + 66*u**2. Find the first derivative of y(l) wrt l.\nAnswer: 4*l**3 + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 + 53 = 4*g. Calculate the remainder when g is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1088) + 1) - (-1 + -1*sqrt(2448))**2.\nAnswer: -2451 - 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-2)\/(-30)*3). Let k = p - -9. Suppose -2*c + k*c + 68 = 4*x, 5*c = 20. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.38 + 0.22. Let o = 0.8 + w. Let i = 2.4 - o. Which is the smallest value? (a) 5 (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 43382 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(80))*3.\nAnswer: 3 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/63 less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d - d**3)*(5*d + 13*d - 6*d) - 6*d**4 + 2*d**4 + 0*d**4.\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 134880*o - 1137038400.\nAnswer: -4*(o + 16860)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/28 in -0.4, -2\/95, 2\/23, 0.98?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xtt when three letters picked without replacement from xxxxxxtxt?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 0 + 2. Is (-3059)\/(-28) + j\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -7*k - 4. Let w(y) = -13*y - 8. Let h(z) = 13*z + 8. Let q(g) = 3*h(g) + 2*w(g). Let m(u) = 4*q(u) + 7*x(u). What is m(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 3*k - 2. Let w(z) = 8*z**3 - 4 - 5*z - 7*z**3 + z**3. Let n be 5\/4*(0 + 4). Let x(d) = n*o(d) - 3*w(d). Differentiate x(i) wrt i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -419.7185839 to 1 dp.\nAnswer: -419.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(-2 - 1 + 1 + (4 - 2 + 0)*(-3 + 6 - 1) - 2 - 3 + 7)*(m + 5*m - 4*m).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12, 21, 30, 39?\n\"Answer: 9*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41172?\nAnswer: 2, 3, 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29244*z**2 - 123896*z**2 - 35*z**3 + 15*z**3 + 19*z**3.\nAnswer: -z**3 - 94652*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*i - 280 = 503 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(76 + -16) + 2\/6. What is the nearest to -0.1 in l, -3, 2\/17, 0.3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1 (b) 12 (c) -1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 10) in base 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 4*b - 1772, 3*y + 4*b - 2090 = -733. Let v = -245 + y. Let f = v + -92. What is the highest common divisor of f and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**8\/336 - f**5\/5 + 8*f**2. What is the third derivative of w(u) wrt u?\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -2634\nAnswer: 1053.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 4 + 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1364 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 = -5*b + 84 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 13 - 10) + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*g + 2*g + 21*g)*(-3*g + 0*g - g) - 4*g - g**2 + 4*g in the form o*g + i*g**2 + r and give i.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*(1*(-2 + sqrt(80)) - (-1 + -3*sqrt(80))))**2 + 5 + -1.\nAnswer: -32*sqrt(5) + 1288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 - 155 = -5*q. Let g = q + -10. Let c = g + -32. Solve -4*j + 2 = 2*a, 4*a + c*j + 0*j - 4 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**4\/4 + 1021*j**3 + 936471*j**2\/4 + 29539485*j\/2 - 9950850 = 0 for j.\nAnswer: -1092, -135, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -39. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -4\/7, 3, -3 in increasing order.\nAnswer: -3, -4\/7, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 - 1 - (-42 - -61 - -8).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2. Let p(o) be the third derivative of -83*o**4\/24 + 135*o**2. Determine p(i(f)).\nAnswer: -166*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1169069475 is divided by 2228?\nAnswer: 2227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2139*h**3 + h - h + 1977*h**3 + 4 + 2 in the form w*h**3 + k*h**2 + u*h + c and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -5*s**3\/3 + 10*s**2 - 15*s - 50. Factor v(f).\nAnswer: -5*(f - 3)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 105*y**4 + y**3\/3 + y**2 - y + 30. What is the tens digit of r(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bkkkkkbbkkkkkbkbbkk. Give prob of picking 3 b and 1 k.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7291, 28531, 63655, 112663, 175555?\nAnswer: 252331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38976 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -45170.4.\nAnswer: 45174.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/16*(-13)\/(-975)*15*(-5)\/6.\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - 7*y + 94*y**2 + y**3 - 96*y**2 + 4*y.\nAnswer: y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 11:07 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -70 divided by -35\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284603*g - 2124 = -285134*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80388609671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from hhhhhhvvhhhhhhvvvh.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (98*h + 14*h + 4*h)*(2 - 2*h - 2) to b + u*h**2 + r*h and give u.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -57817 * -1.02\nAnswer: 58973.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/5 + 9\/(-15). Suppose -15 = -3*m - 3*k, w*k - 4 + 3 = 3*m. Let q(u) = 1 - 2 - m*u - 4*u. Calculate q(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-four fifths of a micrometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.04, -2, -0.02?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (76 - 20 + 16)*(-25*p**4 - 2*p**4 - 62*p**4) to the form o*p + j*p**2 + i + w*p**3 + m*p**4 and give m.\nAnswer: -6408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/60)\/((-112)\/70)*((-3276)\/130 - -24)?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 743 divided by -2?\nAnswer: -743\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5 + 4*t - 9*t - 5 + 6*t. Let s be f(10). Suppose -4*x = -a - s*a + 16, 0 = a + 3*x + 12. Solve 3*b = -3 - a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 15 = x + 2*x, 0 = -5*x + 4*u - 11. Let w be 1 - 0 - (x - 2). Does 3 divide -2*3\/(-2) + w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 33599262, 33599242, 33599222, 33599202?\n\"Answer: -20*a + 33599282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)\/(c**(-1\/8)\/c))**(-1\/23)\/(c**(1\/5)*c**(4\/3))**33 assuming c is positive.\nAnswer: c**(-2019\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110942 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 7:13 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 188 = -26. Let q = 54 + l. Let b be -3 + q - (-3 + (92998 - -2)). Round b to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5094, -20439, -46014, -81819, -127854, -184119, -250614?\nAnswer: -327339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - -0.2. Let c(n) be the third derivative of n**5\/60 + n**4\/8 + n**3\/3 - 2*n**2. Let g be c(-2). What is the smallest value in g, 0.5, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 greater than or equal to -0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 5:05 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**5 - 51*i**4 - 3513*i**2 - 1699277*i wrt i.\nAnswer: 40*i**3 - 612*i**2 - 7026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 8455 = 33385. Suppose -b = -92*y + 84*y. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1113 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**5\/30 - t**4\/3 - t**3\/3 + 10*t**2\/3 + 16*t - 2. Let p(j) = 0. What is j?\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -4*o - 4*x, o + 85*x - 82*x = 28 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 774 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -30100000?\nAnswer: 30100003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 5*z**2 + 4*z - 13. Let t be f(5). Suppose 0 = -0*c + t*c - 14. Solve c*o + l = -0*o, -3*o + 9 = -3*l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*l**2*w**2*x - 26*l**2*x**2 - 3*l*w*x**2 - 46*l*x**2 + 140*w**2*x**2 + 4*w**2*x - 2*w*x + 2 wrt w?\nAnswer: -24*l**2*x + 280*x**2 + 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/(-184) - (-21)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (30 - 0 - (-28 + 31) - 6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1. Let w be (-11 + 9)*(-6)\/4. Solve -a - 2 + w = h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.4292 times -0.0013?\nAnswer: 0.01225796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d + 12*d + 3*d + 6*d - 8*d.\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -345067.\nAnswer: -138026.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 8 and 24\/185 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -425 + 428. Let w be (2340\/40)\/(l\/(-800)). What is w rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -333202231223 (base 4) in base 5?\nAnswer: -13231013014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z. Let h(q) = q**2 - 12*q - 16. Let x be h(13). Let m be k(x). What is the remainder when (2\/(-3))\/(m\/(-1809)) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -183 in 0.2, 31, 7\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01 - -2.01. Let w be (-12)\/54 - (-8)\/18. Sort u, w, -3 in descending order.\nAnswer: u, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -156 - -158. What is the second biggest value in y, -2\/17, -21?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 4:32 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-24\/11)\/((t\/t**(-27\/4)*t*t)\/t))\/(t**(-2\/53)\/t**(-13)) assuming t is positive.\nAnswer: t**(-55721\/2332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 105\/499 (b) 3\/2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 0, 406 in decreasing order.\nAnswer: 406, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 12:48 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21, 4, 27, 48, 67, 84, 99?\n\"Answer: -n**2 + 28*n - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 955 and 5.\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1216 divided by 4\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, m: 5, t: 6, l: 7}. What is prob of picking 1 l and 1 u?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98 + 90 + -2 + -2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)*2)\/sqrt(12)*3)\/((2*sqrt(32)*4)\/sqrt(8)).\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v + 66 = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1)*(-35)\/(-35)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4012 and 413472.\nAnswer: 7029024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q - 5*q + 517*q**2 + 15*q + 0*q - 519*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*s**2 - 5*s**2 - 2 - 3*s**2 + 43*s**2 as k*s + q*s**2 + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10582, 21177, 31788, 42421, 53082, 63777?\n\"Answer: y**3 + 2*y**2 + 10582*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 - 2)*(-374*r + 657*r + 1004*r) to c + d*r and give d.\nAnswer: 3861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5467 or 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 161.\nAnswer: 11592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 116 = q, -4*q + 667 - 173 = 5*u. Calculate the highest common divisor of 70 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**2 + 142097736*u = 0. What is u?\nAnswer: 0, 35524434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**3 - 4063*i**2 + 24347*i - 20285 = 0.\nAnswer: 1, 5, 4057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2910098 to the nearest integer?\nAnswer: 1706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7\/2*(-8 + (-2820)\/(-350))\/14\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4537?\nAnswer: 13, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408 = -5*f + 4*d, 5*d - 13 = 2. Suppose 2548*l - 2066*l - 53984 = 0. Calculate the highest common divisor of l and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*((-50)\/20)\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (85*h - 6*h - 589*h + 34*h - 339*h)*(-34*h**2 + 7*h**2 - 4*h**2) as p*h + u + m*h**2 + s*h**3 and give s.\nAnswer: 25265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -13, -29, -53, -85?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -70 and -0.5.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 23*t**2 - 4*t + 3. Let f(b) = -3*b. What is the remainder when p(2) is divided by f(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 12*b**2. Suppose 0 = -4*j + 5*j. Let x(y) = -y - y + 0*y + j*y. Determine x(i(l)).\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2400\/9 + 1\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4641 * 6\nAnswer: -2.7846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 3 - 4 - -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 + 5*s - 2. Let h be u(-4). Suppose z = 4*k + 16 + h, 2*k - 50 = -3*z. Calculate the smallest common multiple of 14 and 24\/9*z\/4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3509792\/15 - 233743. Let p = -243 + f. Let d(s) = s**3 - 2*s**2 + 3*s - 3. Let z be d(2). What is the third smallest value in 1\/3, p, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 103*y**2 + 3104*y - 9738. Determine b(-33).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8\/11 - 43\/44. Let c = -3.78 + 3.3. Let q = c + 0.38. What is the nearest to q in 4, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*x**2 + 209*x**2 - 68*x**2 + 94067*x**3 - 71*x**2.\nAnswer: 94067*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.5701 + -1.5701. What is the third biggest value in -13\/3, x, 0.3?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 4*h + 6 + 6, 6 = -m - 4*h. Is 2 a factor of -1 - -6*(-8)\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2. Let t be 33\/22 + (-2)\/(-4). Let v(r) = r**2 - r**2 - r**t. What is v(k(o))?\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -2, 109061 in decreasing order.\nAnswer: 109061, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04002 - -0.54002. What is the nearest to v in 0.07, 3, -3\/5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3 - 2 + 6*h - 19. Let i(a) = 2*a - 2. Let q(n) = 12*i(n) - y(n). Let u(o) = 3*o. What is u(q(m))?\nAnswer: 54*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 5\/(105\/(-77))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175 and 169645.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2324157 to the nearest integer?\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005335761608 to four decimal places.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f + 2. Let k be ((-1)\/1)\/((-3)\/(-15)). Let i be g(k). Let z be (-5)\/(-10)*i\/30. What is the smallest value in z, 2\/7, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 2:54 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -458.88 and 1.6.\nAnswer: -734.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12727 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 136523*t*w**2 + 36*w**2 - 1914*w with respect to t.\nAnswer: 136523*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6130351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 234647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 186, 184, 182, 180, 178, 176?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, q: 7}. What is prob of picking 2 p?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38.906 - -39. Let u = m - -0.006. Which is smaller: 10 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002816 to six decimal places.\nAnswer: 0.000282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.02, -0.11, -1\/3, 5 in decreasing order.\nAnswer: 5, 2, -0.02, -0.11, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**3 + 31*l**2 + 83*l + 189. What is t(-14)?\nAnswer: -3129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**3\/8 + 347*k**2\/8 - 3827*k + 11094 = 0.\nAnswer: 3, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d + p = 13, -3*d + 47 = -4*p. Let y be (-26)\/(-117) - (-79)\/d. Let h be ((-18)\/y)\/(1*-1). Solve 0*t - x + 4 = -2*t, h*x = 8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4545)\/(-2525))\/((-2)\/((-20)\/(-3)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**3 - 4*f**2 + 23*f + 209. Does 13 divide s(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72.1 + -76. Let j = u + 34.9. Let n = 29 - j. Which is smaller: 2\/11 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n - 1. Let r(c) = 16*c - 4. Suppose 463*u + 36 - 962 = 0. Calculate u*r(p) - 7*v(p).\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**6\/360 - v**5\/20 + v**4\/72 + v**3\/2 - 14*v**2 - 12*v. Find s, given that t(s) = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/5)\/(((-462)\/(-17793875))\/21). What is l rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from ooaooaokkookaooaoooo.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4 + sqrt(104)\/(sqrt(200)*3)*-3 + -2)**2*-5*3.\nAnswer: -3714\/5 + 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30758 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 178*m - 780 - 762 + 1531 + 1 + m - 1 + (2 + m - 2)*(3 - 2 - 3) to the form w + g*m and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 996 divided by -498\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = 2600*g - 2617*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3f6d (base 16) to base 10\nAnswer: 16237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*x + 310 + 565. What is the second derivative of -92*f + x*f**2 - 2940 + f**3 + 2940 wrt f?\nAnswer: 6*f + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 92363052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -17*p**2 - 10*p + 4. Let s(o) = 9*o**2 + 5*o - 2. Let r(n) = -4*i(n) - 7*s(n). Let w be r(3). Let b = -5 + w. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -2*u + 4*h, -h = -0*u - 2*u + 42. Suppose -2*i + c - 17 = 0, -i + 9*c = 7*c + 7. Let d = i + u. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*y - 820633 + 819898 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 5\/12*v**4 + 36*v + 1\/12*v**5 + 0*v**3 + 12*v**2 - 1\/24*v**6 + 0. Let f(n) be the first derivative of o(n). Factor f(d).\nAnswer: -5*d*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -16 + 9 - 1 - -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 0. Let f be (5 - 8)\/(c\/(-4)). Sort 5, -2, f.\nAnswer: f, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 1492424?\nAnswer: 4477272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + (-58 - (-13 + -15 + 13)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 52 = -6*l - 4*g, -3*g - 182 = -5*l. What is the remainder when 304 is divided by l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7130236?\nAnswer: 2, 1782559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55948 + 67749 - 2*q**2 - 344960 + 4*q**2.\nAnswer: 2*q**2 - 333159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + -24272497.38.\nAnswer: -24272501.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 5*z**2 - 11*z + 7. Does 7 divide q(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-49)\/350)\/((-1358)\/(-776))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -161*m**2 - 2*m. Give l(1).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g**2 - 3*g + 3. Let y = -51 - -60. Let p(a) = y*a**2 - 7*a - 18*a**2 - 4*a**2 + 7. Determine -3*p(s) + 7*u(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3. Let w(q) = -q. Let p(b) = 3*s(b) + 6*w(b). What are the prime factors of p(-4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 16. Suppose 21*b + 22 = -62. What is the remainder when 37 - (0 + b + -1) is divided by a(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, r: 2}. What is prob of sequence rp?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 1. Let l(k) = -k + 5. Let a(i) = -2*l(i) + 10*r(i). Let f(w) = -w**2 + 6*w - 3. Let v be f(5). Let o(n) = -v + n + 2. Determine a(o(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 1\/2, 1, 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(190)\/(sqrt(20)\/sqrt(2))*-3 + -4)**2.\nAnswer: -96*sqrt(19) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m**4\/5 + 75*m**3 - 894*m**2\/5 - 3192*m\/5 = 0.\nAnswer: -133\/4, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 640496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*b - 78*b + 679*b = 6812 for b.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 614 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z. Suppose 6*v = 3*v - 6. Let w(r) = 0*r**2 - 4*r**2 + 9*r**2. Let h(a) = a**2. Let i(q) = v*w(q) + 14*h(q). What is p(i(o))?\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 4*m - 0*m - 164, 3*m = -5*y + 410. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87138 is divided by 310?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3)*30\/4. Suppose 4*s + 4*g - 26 = -6, 25 = 5*g. Solve 3*t + z = -s*t + 4, 0 = 3*t + d*z - 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 201 + -188 - (1 - -12)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 40287256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/1152 and -59\/114.\nAnswer: 21888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1363840 and 340960.\nAnswer: 1363840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1+-963237\nAnswer: -963238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -2122*t**6\/15 + 10*t**2 - 2563*t + 1. Differentiate o(q) wrt q.\nAnswer: -16976*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.86 + -0.86144. Round h to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 7*b - 4. Let v be r(-6). Suppose -5*a = -3*n - 84, 2*a + 4*n - 80 = -v*a. Calculate the least common multiple of 18 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79622 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11*3*6\/2079*-7\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r**2 - 7*r**2 - 8*r**2 to q*r**2 + g + d*r and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1822 (base 9) to base 11.\nAnswer: -1060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14.37, 349\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4*(-47 - -1). Suppose 143 = 4*n + i. Suppose 113 = j + n. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -333 - -336. Suppose 4*s = -0*d - 2*d, -a*s - 4*d = 10. Solve -s*z + y = -1, -2*z + 3*y + 6 = -5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144259627?\nAnswer: 487, 296221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-63)*(9 - 6))\/((-520)\/364)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210230 (base 5) to base 13.\nAnswer: -320b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/28)\/(1\/(-10)*3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - p**2 - 1. Let t be d(2). Suppose r - 4*r + t*u - 27 = 0, -4*r = 4*u + 12. What is the units digit of r\/21 - (-130)\/14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1511721\/(-7521) + 1 + 112.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 153312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5230, 10477, 15724, 20971, 26218, 31465?\n\"Answer: 5247*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*m + 2. Suppose z + 1 = -b + 5, -5 = -m*z. Let u be 2\/((-1)\/(-3)*b). Solve -2*x - 11 = 6*i - 3*i, 0 = -i - u*x - 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 7. Suppose -4*b = 3*l - 6, l = -2*l - q*b + 6. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1320\/50)\/(-22))\/(((-816)\/(-20))\/6).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -44795.4 rounded to the nearest one thousand?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -111023 < 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 6:50 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -3*b - 516 + 448, -6 = 3*b + 3*a + 27 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7454.6334 minutes to days.\nAnswer: 5.17682875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-12))\/(35\/40*(-78)\/(-91))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1341853.\nAnswer: 89, 15077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -877, -1769, -2671, -3589, -4529, -5497?\nAnswer: -6499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 21. Let r be 5\/(-2) + 2139\/186. What is x(r)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*i + 99*i + 1344 = 0. Calculate the greatest common divisor of 84 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35953483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578 - 896 = 384*p + 5822 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 152*y + 5810. What is o(-35)?\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10436 + 1951522\/187. Find the common denominator of 27\/170 and w.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(275) + sqrt(275)*1 + sqrt(275))**2 - sqrt(275) - sqrt(275))*-5 - (((sqrt(11) - 3*(sqrt(55)\/sqrt(5) - sqrt(11)))**2 - (sqrt(99) + -2)) + -2).\nAnswer: -49511 + 203*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 12:17 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 721*q**2 - 1434*q**2 + 7 - 1 + 2 + 710*q**2.\nAnswer: -3*q**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24985 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 17*v**2 - 19*v - 15. Let a be z(-18). Solve -2*c - 2*m = 4, -a*m - 7 = 5*c - m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5261, 5239, 5215, 5189, 5161?\nAnswer: 5131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2 - 5*r - 8. Let w be a(-1). Let z be (-9)\/(-42)*(-105)\/w. Factor 27\/2*j**2 - 12*j - 6*j**3 + z + 3\/4*j**4.\nAnswer: 3*(j - 5)*(j - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.816 - -0.316. Let p = -76 - -80. Which is the nearest to 0? (a) -7\/9 (b) p (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4244\/21 + -202. Which is the closest to q? (a) 4\/5 (b) 2\/3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 19*v - 3. Let n be j(1). Is n greater than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3694*z - 331*z + 387810 = -2046*z - 846*z for z.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 70 = -8*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 9*k + 29. Let l be n(-4). Let a(s) = -3*s**3 + 6*s - s**3 - 6*s**2 + 4 + 0*s**3 + 3*s**3. What is the tens digit of a(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 + -22. Let p(d) = d**3 + 5*d**2 - 6*d - 2. Let s be p(-6). Let l = s - -7. Calculate the greatest common divisor of m and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.34 - 2.37. Let u = d + 0.03. Sort -2, u, 4 in ascending order.\nAnswer: -2, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*h + 172 = -108 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -616c3 (base 13) in base 4?\nAnswer: -222222100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3.3 * -2.3188\nAnswer: -7.65204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**2*c*q - a**2*c - 46*a**2*q - 3*a*c*q - 22*a*q wrt a?\nAnswer: 6*c*q - 2*c - 92*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 875232223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4*-2)\/4*1. Let o = g - -7. Solve -o = -4*c - c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25.8 * 1.4.\nAnswer: 36.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 37*x - 23*x)*(43*x + 9*x - 13*x).\nAnswer: -2262*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 321b?\nAnswer: -3223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 29 = 3*f, 4*a + 1030 = -2*f + 1096 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**8\/6720 - 5*j**5\/24 + 5*j**4\/6 + 5*j. Let n(c) be the third derivative of g(c). Differentiate n(y) wrt y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-126)*3 + 70584514\/49. Round s to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(2\/13))**(7\/8)\/(q\/q**(-11\/2)*q*((q\/(q**(2\/11)*q))\/q)\/q) assuming q is positive.\nAnswer: q**(-5237\/1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7818515503 + -1407337681207\/180. Let j = 27171 + f. What is the common denominator of -55\/8 and j?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/12*-1*(-60)\/3*86418\/48010?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 922 and 333682403.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1746, -8331.\nAnswer: -8331, -1746, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + 0)*(-7)\/(-14) - -1. What is the common denominator of s\/(-2)*1606\/(-99) and -44\/13?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35853874 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 453, 15966 in decreasing order.\nAnswer: 15966, 453, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 + (-13)\/15 + (10875\/232 - 46) and -31\/136.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -0*h - 25. Let f be (38\/8)\/((-1)\/(-4)). Let y = f + h. Solve 0 = -c - 4*o + o - y, -o - 10 = -5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j - 5*j + 6*j + (1 - 3 + 3)*(0*j + 4*j + 0*j) + (-j - 2*j + j)*(-3 + 3 - 1) + j - 1 + 1.\nAnswer: 13*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*p - 38*p - 4*s = 2, 0 = p + 4*s + 5. Calculate the common denominator of ((-28)\/105)\/(-1) + p\/(-3) and -37\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*m)*(-20 - 7 + 5) + 10*m + 10*m - 39 - 19*m.\nAnswer: -43*m - 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -230 + 73460?\nAnswer: 73230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-378)\/(-24))*-14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/12)\/(559\/(-21242))?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dadddxbddtddddtddadx. Give prob of sequence xd.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1*50\/(-35))\/((-1)\/(-14)). Solve 0 = 3*z + l - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 16. Suppose 23*q = 25*q - u. Solve q*o = 4 - 24 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3385677872 to the nearest integer?\nAnswer: 58187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 942.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -9*t. Let m be -18*1\/(-2) + 3. Suppose -16 = -4*v - 3*i, 3*v + 4*i - m = -v. Let s(a) = -6*a + 0*a + v*a. What is s(d(q))?\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 25 = -8*n. Does 40 divide -1 + (n - 3) + 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2, -15.\nAnswer: -15, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2430.661m?\nAnswer: 2430661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndiid. Give prob of picking 1 i and 1 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 + -57 + 32 + -6?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 - 48*j + 160. Determine c(20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 - 2*j - 9 + (4*j - 4*j + j)*(3 - 1 + 0) - j - 2*j + 2*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.6 and 44 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 30320000 to the nearest one million.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bkbkbbkkbbkb. What is prob of sequence bkk?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286142162.\nAnswer: 2, 1621, 88261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -2*m**4\/3 + 7*m**3\/6 - 7*m**2\/2 - 13*m. Let r(j) = -7*j**2 + 6*j - 6. Determine -5*g(o) + 6*r(o).\nAnswer: -2*o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)\/(sqrt(18)\/(sqrt(9)*-2)))\/(-2*sqrt(275)*4) + -1)**2.\nAnswer: -sqrt(2)\/10 + 201\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 41*g**2 + 42*g + 46. Let c be s(-42). What is the highest common divisor of c and 391?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78957899?\nAnswer: 31, 2547029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**2 - j - 1. Let w be i(-1). Let z be (1 - 1)\/(1*w). Suppose z = 2*y + y. Solve 0 = o + v + 5, y*o - 18 = -2*o + 5*v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 5690.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*l*o**5 - 2*l - 2*o**6 + 34*o**2 wrt o.\nAnswer: 1020*l*o**2 - 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3 = 3*l - 18, 13 = 3*d + 2*l. Sort 5, -3, d.\nAnswer: -3, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-4)\/1*18\/(-16))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77900 divided by 1900.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a tonne in kilograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 363690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 484\/2639 - 6\/203. Let p be 22\/18 + -1*1. Put p, 4, g in decreasing order.\nAnswer: 4, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*i - 141 = 139 - 1268. Let d(a) = 8*a**2 - 5*a + 18. Let y(z) = 17*z**2 - 11*z + 36. Determine i*d(r) + 6*y(r).\nAnswer: -2*r**2 - r - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 127 + 847 = 0. Let m = v + 180. What is the smallest common multiple of 16 and m?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71940 and 4620.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3812 + 3827. Solve -3*h - 9 + o = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 79739 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 327215543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7*(-1)\/2*2. Let v be 4\/(y\/((-7)\/2)). Which is the closest to -1? (a) -1\/5 (b) -1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -117 + 141 - (-3 - -19).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j + 10. What is c(9)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.053 + -41.947. Let a = -42.09 - c. Let m = -5\/7 - -3\/14. Which is smaller: m or a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**3 + 3*c**3 - c**3 + (-736 - 51*c + 736)*(-3*c**2 - 6*c + 6*c) as w*c + r*c**2 + t*c**3 + i and give t.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 15. Let z be g(0). Suppose -6*f + f + z = 0. Solve -f = -h + 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 155 + -92. Let u(x) = -x**2 - 10*x - 7. Let w be u(-9). Suppose -w*m + q = -57. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-33)*(48 - 46). Does a = 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18136083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -77.1348 to zero decimal places.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*p + 130*p + 605 = 535*p - 143. Factor -102602\/5*d - 10266\/5*d**p - 4\/5*d**4 - 70*d**3 - 48778\/5.\nAnswer: -2*(d + 29)**3*(2*d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110 minus -1.7?\nAnswer: -1108.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j + 4 = 0. Let b(m) = -2*m - 1. Let n be b(j). Suppose 0 = -n*v + 12 + 15. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3323588.4 + -2050925?\nAnswer: -5374513.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-2 + sqrt(4)\/sqrt(2))**2 - (-2*sqrt(6))\/sqrt(3)) - (2 + -2*(sqrt(128)*-2)**2)) + -1.\nAnswer: -10*sqrt(2) + 1051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m + 3. Suppose -5*h = 4*g - 27, g + 0*g + 12 = 5*h. Suppose 5*i - 10 = 4*v, 4*i + v + 7 = h*i. Calculate a(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4917 + -3446. Let k = 2541 - o. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2 + sqrt(1872) + 1 + -1 + -1*sqrt(1872) + -3) + 0)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 145 - 10 = 0. Let a = 29 - s. Suppose -6150 = -a*f - 3*f. What is f rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5 - 3. Suppose 4 = w - t. Solve -4*p - 5*z = w, 5*p - 5*z = -3 - 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.786 - -0.014. Let i = 8066643 - 8066659.799897. Let z = b + i. Round z to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, -17 in increasing order.\nAnswer: -17, -8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*r = -147 - 397 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 84\/16 + (-2)\/8. Suppose s*z + 0*z - 160 = 0. Suppose -29 = -4*g - 4*i + 7, 4*g - z = -3*i. Calculate the highest common divisor of g and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -28*r + 29. Let i(x) = 14*x - 16. Determine 6*h(f) + 11*i(f).\nAnswer: -14*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-2\/3)*h*h*h))\/(h*h**7*h))**(2\/65)*((h**(1\/3))**(-16\/3))**(2\/39) assuming h is positive.\nAnswer: h**(-772\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 93580108079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w - 5. Suppose l = 2*o - 20, -2*o + 6*l = 2*l - 26. Suppose -o*u - 45 = -0. Calculate p(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16697269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 293414.58 months in decades?\nAnswer: 2445.1215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 88750504 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22374279 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**5\/7 + 1209*h**4\/7 + 93874*h**3\/7 + 54087*h**2 + 88804*h\/7 = 0. What is h?\nAnswer: -149, -4, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -707077*i**6 - i**3 - 5*i**2 - 49587 wrt i.\nAnswer: -84849240*i**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 4:10 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5094, -10119, -15022, -19743, -24222, -28399, -32214, -35607?\nAnswer: -38518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31\/7 + 541\/119. Let h = -22 + 33. Suppose 7*z + z = -h*z. Sort m, z, -5, -0.3 in descending order.\nAnswer: m, z, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7154*r**2*t*y**3 + 1192*r**2*y**3 + 11*r*t - 80*t*y**2 - 11*y**3 + 241 wrt r.\nAnswer: -14308*t*y**3 + 2384*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2960 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 39. Suppose c = t - 293, 6*c = -4*t + 8*c + 1170. What is the smallest common multiple of 5 and t\/24 - 3\/g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 26*j - 724. Let v be h(28). Let f be ((-1)\/(-2))\/1*0. Let a = 0 - f. Solve v*m - 16 + 4 = a for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1400 = 438*v - 443*v. What is the remainder when v is divided by 95?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -10*y**2 + 8*y**3 - 1 - 5*y**3 + 4*y**2 - 5*y**3 - 6*y. Let f be t(-3). Find the first derivative of 3 - 21*m**4 + f + 6*m**4 - 6 wrt m.\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-324)\/(-184842)*326)\/(1\/(-1))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -828 divided by 18\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 298597889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 851*t**3 - 74*t**2 - 74. Let m(l) = 34*l**3 - 3*l**2 - 3. Calculate -74*m(x) + 3*o(x).\nAnswer: 37*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 + 7685*g**3 - 46153*g**2 - 53837*g.\nAnswer: g*(g - 7)*(g + 1)*(g + 7691)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428280 is divided by 454.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*p + 9. Let w = 2 + p. Suppose c + 2*c = w. Solve -c*x - 3 = 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 10. Suppose 0 = -2*v - 4*d + 26, -q*v - 3*d = 2*d - 80. Let n = v + -3. Calculate the highest common divisor of 16 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5875755 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: Calculate the remainder when 3385 is divided by 910.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387*k = 263 + 1285 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 q when three letters picked without replacement from {q: 1, u: 2, a: 3, i: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + ((sqrt(704) + 1)*-3 - sqrt(704)))**2 + -5*(-3*(sqrt(22) + 1*sqrt(22)))\/sqrt(2).\nAnswer: 350*sqrt(11) + 11292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14067648757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5083, 3, 2\/67, 0 in ascending order.\nAnswer: -5083, 0, 2\/67, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -72, -67, -62, -57, -52?\n\"Answer: 5*h - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 5*s + 30, -5*o + 4*s + 22 + 5 = 0. Solve -5*q + 5*z + 5 = 0, 4*z = 3*q - 1 - o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33918 + 21277 = -332*m + 21555 for m.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = 3*n. Let g = 2 + 0. Suppose 2*s = s - g. Is n <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l**2 - 5*l - 1. Let a be x(-6). Let o be 1\/1 + a\/209. Sort o, -2\/3, 0, 5\/4 in ascending order.\nAnswer: -2\/3, 0, o, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25 + 251?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 45200 to the power of 1\/2, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 + -54. Let h(w) be the first derivative of 0*w**2 - 3 + 0*w + 2\/9*w**t. Factor h(j).\nAnswer: 2*j**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w**3 + 55*w**2 + 3201*w + 4. Let c(a) = -7*a**3 - 53*a**2 - 3202*a - 3. Let b(k) = -4*c(k) - 3*p(k). What is the second derivative of b(z) wrt z?\nAnswer: 42*z + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 10*s**2 + 9*s + 11. Calculate the remainder when x(5) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2632 - 2520 = 14*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 5:23 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10665760?\nAnswer: 2, 5, 7, 89, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001234 to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -665 divided by 5\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -8, -3*o + a - 1 = -11. Let g be o*2*25\/50. Which is greater: g or 3\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**3 + 2282*d + d**2 - 2282*d + (-4*d + 2*d**2 + 4*d)*(5 - 5 + 2*d).\nAnswer: 8*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 108818\/21 - 5182. Sort i, 2, -0.2, -5, -3.\nAnswer: -5, -3, -0.2, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 212*u**2 - 76. Let z(x) = x**2. Give d(z(n)).\nAnswer: 424*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24454611 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 188396.20011 - 188397. Let f = q - -0.8. Round f to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 688*k + 4830 = 527*k for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1272 - 3*d - 1295 + 2649 + 7*d.\nAnswer: 4*d + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*y**2 - 18*y + 18*y to the form g*y**2 + t*y + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -357 divided by 58194.\nAnswer: -119\/19398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3139 - 3116. Calculate the remainder when 842 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -430 + 470. Solve -t*v = -26*v + 42 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 145572\/2520 - (-6)\/108*-3 - (-2)\/5.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + -7. Let y be (2\/a)\/((-2)\/(-4)). Is y equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.74 + -291.74. Let s = y - -259.7. What is s rounded to 0 dps?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, v: 4, r: 8, d: 1, g: 2}. What is prob of sequence fffv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 7. Let z be u(0). Let i = 2 - z. Let d = -42 - -43. Which is the closest to -0.1? (a) i (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.96104 rounded to one dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*p**3 - 12*p**4 + 0*p**3 - 3426 + 3428 - 2*p**4 - p**2 in the form v*p**4 + x*p**3 + f*p + k + i*p**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n - 14. Let c be o(-9). Let m = 62 + c. Suppose v = w - m*v + 17, 5*w - 2*v - 5 = 0. Solve -4*a + 19 = -w*t - 2*a, -22 = -t - 5*a 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 47 and 4559?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -8, -6*p + 2*p = -d - 28. Let f be (p + -9)\/(1\/(-21)). Suppose 0 = 10*h - 153 - 127. What is the greatest common factor of f and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51871578 and 6072?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -15*a - 13. Let c(p) = -20*p - 11. Let b(w) = -66*w - 35. Let y(n) = -2*b(n) + 7*c(n). What is -6*j(s) + 11*y(s)?\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60154 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24418 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4 + 838*x**3 - 224781*x**2 + 19004832*x + 122303412 = 0. Calculate x.\nAnswer: -6, 231, 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 298 and 51703.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h = -22*h + 81. What are the prime factors of (-758)\/(-9) + (-18)\/h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*b - 6 = -20, -y + 3*b + 2 = 0. Sort 0, 4, y, -3 in decreasing order.\nAnswer: 4, 0, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m + 2. Let b be n(1). Suppose c = b*c - 36. Solve 4*t + c = -3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 6:40 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 17*l. Suppose 6*d + 44 = 242. Suppose 38*r - d*r = 5. What is h(r)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7*d - 6. Let t(r) = 8*r + 7. Let j(s) = 7*q(s) + 6*t(s). Let k(h) = 8*h**2. Give k(j(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.058, -1\/438, -0.4, 0.1, 2\/7, 201?\nAnswer: -1\/438","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -90 >= 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*k = -0*k + 15, 5*k + 25 = 3*p. Solve 4*r - 20 = -4*q, p*r = 4*r for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 44*i**2 - 166*i - 77. Does 165 divide g(-43)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.04, -3\/7, -144, -3, -1 in descending order.\nAnswer: 0.04, -0.2, -3\/7, -1, -3, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -142146 (base 7) to base 10\nAnswer: -27180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1054)\/(-155) - (-2)\/10. Suppose f*u - 1166 - 164 = 0. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 4*u + 2*h + 658, -513 = -3*u - 5*h. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**2 + 12*o + 26. Let u be c(-6). Suppose 6*s = 20*s - u. Suppose 0 = -2*f + 2*j + 514, s*j - 1249 = -5*f + 3*j. List the prime factors of f.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106758?\nAnswer: 2, 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.4, 107, 0.06, -0.3, -0.2, 1?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17\/2 of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*f = -168. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11521?\nAnswer: 41, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 x, and 1 b when four letters picked without replacement from bvxvxvxvxvx.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -187\nAnswer: -935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 134\/6 + (-1)\/3. Suppose -3*w + 4 + 2 = -3*a, -f = -a - 5*w. Let o(j) = -3*j + a - 1 - 2 + 0*j. Determine o(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 11:27 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.5 - 1.42. Let g = k - -0.32. Which is the nearest to -1\/4? (a) -3 (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 710 and 10?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*(sqrt(7) - (1 + sqrt(7))*-2) + -1 + (-1*2*sqrt(42))\/sqrt(6))**2.\nAnswer: 2852*sqrt(7) + 15773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-20)*1\/(-7)*5\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14, 14, 62, 136, 242, 386, 574, 812?\n\"Answer: d**3 + 4*d**2 + 9*d - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549 is divided by 114?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1 + 7*d - 1. Suppose k = 10*k - 18. Let v(f) = -f - 104*f**k + 105*f**2 + f. Give v(h(c)).\nAnswer: 49*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -197, -254, -257, -188?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7193034, -14386067, -21579112, -28772175, -35965262, -43158379?\nAnswer: -50351532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-570)\/665)\/(3\/14 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/3 - 6151072*j\/3 - 18453270.\nAnswer: 2*(j - 3075545)*(j + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*d = -102*d - 4. Solve 5*m = d*i + 32, 0 = -5*m - 4*i + 9*i + 35 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 24 = 4*t, 6*t - 3*t + 9 = 0. Are 57 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 58*f - 671. Calculate h(47).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 57*l**2 - 1296*l - 270. Is k(-119) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 2)*(4*b - 4*b + 4*b).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -458.39 - -29285.39. Let n = -28826.210208 + j. Let a = 0.79 - n. What is a rounded to 5 dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) -376.7 (b) -3\/2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, s: 2, e: 2, z: 3}. Give prob of sequence zss.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/14 - (-4)\/(120\/(-21)). Let t = -2.248 + 1.748. Let l = 0.4 - -0.1. Which is the third smallest value? (a) l (b) t (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvcp when four letters picked without replacement from pcvmvvmeecvvcc.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 270 and 135.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 24 = 5*r, 5*i - 2*r - 15 = 2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -33, 12, 131, 360, 735?\n\"Answer: 6*u**3 + u**2 - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16, -11, -6, -1?\n\"Answer: 5*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**10\/p**(3\/11))**(-28\/9)*((p*p*p\/(p*(p*p\/(p\/p**1))\/p)*p)\/p)**(-20)*(p\/(p**(2\/3)*p))**(2\/25) assuming p is positive.\nAnswer: p**(-124532\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 666754560 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10147 + 0.45.\nAnswer: 10147.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 1 = -4*o. Suppose 30 + 18 = o*i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*d - 15*d - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 4:21 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m - 8. Let k be ((-56)\/(-35))\/((-1)\/10). Let o = k - -7. Let a be s(o). Is 6 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/23, 1\/34, 5 in decreasing order.\nAnswer: 5, 1\/34, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 (base 7) in base 8?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55485587?\nAnswer: 41, 839, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-21))\/(25\/(1125\/30)*3\/(-12)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -101\/5 (b) 3 (c) -372\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 3*y + 30. Let j be y\/6*4\/10. Let q = -52652.8 - -52653. Which is the closest to q? (a) j (b) 0.2 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 1054.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -10. Let v = g + 18. Calculate the greatest common factor of v and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66484421?\nAnswer: 23, 2890627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 9*y + 190 = 0. Factor 9*w - 5*w**4 - 14*w**2 + 20*w**3 - w**2 - 19*w - y*w + 20.\nAnswer: -5*(w - 2)**2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21185592 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-12 + 6) - (4 + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(35)*-1)\/sqrt(7).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -1.3. Let l = -264 + 39. Let n = l - -224.9. Which is the closest to p? (a) -2 (b) n (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**3\/8 - 236*o**2 + 1887*o\/8 = 0.\nAnswer: 0, 1, 1887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -646442*q**2 - 142027*q**2 - 10037*q**2 - 64646*q**2 - 160556*q**2.\nAnswer: -1023708*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -609206 * 0.5.\nAnswer: -304603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -75. Let z(n) = -n**3 - 83*n**2 - 157*n + 443. Let j be z(-81). Are k and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 898479.\nAnswer: 3, 107, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 22705.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*s**4 + (-1 - 1 + 4)*(-2*s**2 + 2*s**2 + s**4 + (-s + 0*s + 3*s)*(s**3 + 0*s**3 - 3*s**3) + s**4 + 6*s**4 - 5*s**4 - 2*s**4 + 8 - 8).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2)\/s)\/(s**(-5)*s))\/((s\/((s\/s**(2\/5))\/s))\/s*s*s*s*s**(-1)) assuming s is positive.\nAnswer: s**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 115\/23*(6\/2)\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((40 - 20*o - 40)*(1 + 2 + 0) + 8*o - 2*o + o)*(o**2 - 3*o**2 - o**2).\nAnswer: 159*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -12*i**2 - 46*i - 5. Let z be g(-20). Is 6\/4 - z\/42 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -838, 1, -5, 0 in descending order.\nAnswer: 3, 1, 0, -4, -5, -838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z - 2. Let w be a(-3). Let c be w\/4*32\/20. Suppose 0 = 6*i - c*i - 26. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481894343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4650 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(1\/4)))**(-2))**(-12\/7)\/((q\/(q\/(q**(-3)\/q)))\/q**(1\/5))**(4\/9) assuming q is positive.\nAnswer: q**(106\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**4\/12 - 19*j**2 - 1. What is n(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266036259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3767*t + 74713 + 61486 = 7758 - 195521 for t.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126266870 - 235036870. What is w rounded to the nearest one million?\nAnswer: -109000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30153314 - 5?\nAnswer: 30153309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4137220 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11848 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5\/10 + 10909*g**4\/10 - 8732*g**3 + 87336*g**2\/5 = 0. What is g?\nAnswer: -10917, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -9*b - 13. What is the remainder when h(-7) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.4140544 millimeters?\nAnswer: 414054.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -19*s + 15*s - 3*h, 3*s = -3*h + 3. Suppose 0 = 2*b - r - 1362, -s*b + 5*b - 663 = -4*r. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 20382831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, h: 4, v: 2}. What is prob of picking 1 d and 1 v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 385 + -350. Solve 11*j = s - 13 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 12:55 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 1:48 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 412*d**4\/3 + 609*d**2\/2 + 2*d - 460. What is the derivative of v(u) wrt u?\nAnswer: 3296*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + 2*o**2 + 3*o**2)*(3*o**2 + 0*o**2 - 2*o**2) - 24*o**2 + 24*o**2 + 21*o**4 + 0 + 0 - 2*o**4 + (2*o - 4*o + 5*o)*(-o**3 - 4 + 4).\nAnswer: 17*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 49165849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 10:18 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 96019.37 litres?\nAnswer: 96019370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -104 + 88. Let o = c + 20. Solve 5*t - 4*b + 2 = 0, o*t - 5*b + 17 = 5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 72*i + 3\/20*i**5 + 0 + 0*i**3 - 53\/2*i**2 + 0*i**4. What is the first derivative of z(r) wrt r?\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(300)*-1)**2*-3 + ((sqrt(162)*2)\/sqrt(9))\/(4*1*sqrt(6) - sqrt(6)).\nAnswer: 2*sqrt(3)\/3 + 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1348152 to the nearest one thousand.\nAnswer: -1348000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.73 and 124039189.413.\nAnswer: 124039188.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (29 - -2) - (-9 - -13 - -11)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = h - c - 1, 2*h = -3*c + 2. Sort -5, 0, -55, h.\nAnswer: -55, -5, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -4 (c) -2\/3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3 + c + c**3 + 5 - 2*c**2 - c**2. Let h be v(2). Suppose h*p - 16 = -4*p. Solve -z + 3*x = -0*z + 2, -x + 5 = p*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28804224899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12542556433466 minus -1?\nAnswer: 12542556433467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 41075*p - 2. Let n(y) = -380*y. Calculate r(n(h)).\nAnswer: -15608500*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*x - 20. Suppose 3*i + 11 = x*i. What is the lowest common multiple of 5 and i?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*n - 3*f, -4*n = 2*f - 7*f + 12. Solve -3*y + 15 = n*j, 5*j + 8*y - 4*y = 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 62*c**5\/5 + c**4\/12 + 55*c**2\/2 - 27*c - 3. Find the third derivative of r(y) wrt y.\nAnswer: 1488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5 = -3*t. Let r = -1.9605 - 0.0395. Which is the nearest to r? (a) -1 (b) t (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*s**2 + 76*s**4 + 1 - 25*s**2 + s**3 - 74*s**4 - s to the form p*s + b*s**3 + m*s**2 + g*s**4 + q and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-7)*i*i\/i**(2\/7))\/(i**0)**(-42))**(-32) assuming i is positive.\nAnswer: i**(1184\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2060 + -2049. What is the fourth smallest value in 3, p, 6, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 514214 and -0.093.\nAnswer: 514213.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 14839458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2073214208 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**2\/5 + 39616*k\/5 + 392356864\/5 = 0.\nAnswer: -19808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + (47 - 48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*(0 + (-1)\/(-1)). Let z = -16 + 19. Suppose z*s - 5 = 13. Is o at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3972 and 58752.\nAnswer: 62724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.17 + -0.22. Let y = h + -2. Let w = -0.15 - y. Which is the nearest to 1? (a) w (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 470*n + 263*n + 292*n + 560*n.\nAnswer: 1585*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gk when two letters picked without replacement from gkggggggggkkggg.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 + 4 - -22) + -24.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + 2*a + 3*a + (-1 - 3 + 3)*(a + 0*a - 2*a) + (-4*a + 4*a + 4*a)*(-3 + 3 - 3) - 3*a + 5*a + 0*a.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1122.225678ns?\nAnswer: 0.000000000001855531875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f**2 + f. Let h be (-1 - 1) + (-3 - -6). Let t be c(h). Let u = 10 - t. Solve -7 = r + 2*d, 0 = -5*r - u*d - 29 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1048)\/48 - -23)*12?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-7)\/(-3)*-1. Let b be (1 - (-2)\/(-4))*(-3 + x). Let g(v) = v**3 - 2*v**2 + v + 1. What are the prime factors of g(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/1640 and 101\/960.\nAnswer: 39360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146543345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 826 divide 121588121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -13 (b) 0.4 (c) 435 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -3. Let p = -10.2 + 13. Let o = 5.8 - p. What is the nearest to -0.1 in o, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2194569959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3453.\nAnswer: 3, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11004202330 - 12?\nAnswer: 11004202313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 105, 163?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(3\/23)*g*g)\/g**(-10\/9) assuming g is positive.\nAnswer: g**(824\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f = 17*f + 4*i - 16, -i + 25 = f. Calculate the lowest common multiple of f and 94.\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07982295 rounded to 3 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121180.304 + -10.6.\nAnswer: -121190.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 10 + 15 + (-21 - (-14 - -4))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23\/6 - 10\/3. Let w = 137 - 325. Let j = w + 188.1. What is the nearest to j in g, -3, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -292269, -584550, -876831, -1169112, -1461393, -1753674?\nAnswer: -2045955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2 + 44*k - 15. Let i be a(-15). Sort 4, -4, i, 31 in increasing order.\nAnswer: -4, i, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 681.6988 grams?\nAnswer: 0.6816988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4430804, 8861610, 13292414, 17723216, 22154016, 26584814, 31015610?\n\"Answer: -o**2 + 4430809*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-495)\/(-15)*4*1\/(-12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5.4, -5, -23.7, 0.3, 1, 5?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 1:57 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 4*i + 5. Let z be v(4). Let r = 213\/40 - 21833\/40. Let p = -541 - r. Which is the fourth smallest value? (a) z (b) 0.1 (c) -5 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22458044 is divided by 102082?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 3:57 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -9, -13149, -4.\nAnswer: -13149, -9, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -1 + 5 + -10 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*g = -5 - 0, -2*g = -o - 5. Suppose -o*x - 3 = -2*x. List the prime factors of 12 - (0 - (0 + x)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26108799.\nAnswer: 3, 263, 33091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1488*i**2 - 18 - 15 + 1490*i**2.\nAnswer: 2*i**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -160 - -137. Is -2 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53451.47mm in kilometers?\nAnswer: 0.05345147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.140962 months to years.\nAnswer: 0.9284135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n - 22891 = 16*n + 13*n - 25111 for n.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -727 - -727. Is -34 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0065977 + -18.0074377. Let q = -26 - -44. Let g = y + q. What is g rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/((t*t**7*t*t)\/t))**(1\/43)\/(t*t**(-7\/3)*t)**28 assuming t is positive.\nAnswer: t**(1186\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -20 + 1 + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52905 and 102.\nAnswer: 1798770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 503.98 centuries to months.\nAnswer: 604776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*g**3 - 10*g**3 + 7*g**3)*(0 + 2 - 3) - 10*g**3 + 20*g**3 + 6*g**3 - 2*g**2 - 3*g**2 + g**3 + 4*g**2 as p*g**2 + b*g**3 + q*g + t and give b.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0 = 5*m - 2, -2*i = -3*m - 2. Let g be (-1 + m)*(-3 - -2). Let x = g - 2. Is -3 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1109 - -2915. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -12*w**2 - 4*w + 5. Let d(j) = 3*j**2 + j - 1. Suppose -y - 33 = -35. What is y*t(g) + 9*d(g)?\nAnswer: 3*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, j: 3}. What is prob of sequence cj?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 3. Let c be y(-5). Suppose 0 = -5*r + 15, 0*g - 3*r + 21 = 2*g. Let s = g + c. Solve 4*h - 5 + 0 = 3*m, 0 = 5*h - s*m - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 2*k - 3*k)*(-4*k**4 + 3*k**4 - 3*k**4) - 3*k**5 + 3*k**5 - 5*k**5.\nAnswer: -13*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) + (sqrt(360) - sqrt(360)*-1)\/sqrt(9))\/sqrt(8) - (sqrt(70)\/(sqrt(2)*-2))\/sqrt(7).\nAnswer: 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357684.\nAnswer: 2, 3, 41, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-57 + 58)\/((-2)\/(-14)). Let k be ((-216)\/378)\/((-2)\/g). Solve -2 = -2*q - 3*z, -7*q = -4*q + 2*z + k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4. Suppose -5*l + v*i - i + 36 = 0, 5*i = 4*l - 52. Let n = l + -4. Let z(s) = -s**3 + 5*s**2 - 6*s + 4. What is z(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2803281 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: Expand 0*s**5 + 2*s**5 - 5*s**5 + (-47*s**2 + 76*s**2 - 50*s**2)*(-2*s**3 + 3 - 3).\nAnswer: 39*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1241 (base 5) to base 6.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 3*d**2 + 0*d**2 - 9 + 9 - 2*d**2 + (-3*d + 3*d + d**2)*(2 + 0 + 0) + d + d**2 - d)*(177 + 6*d**2 - 177).\nAnswer: 24*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -619630 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (57\/54 - 1)*-4. Let d = -4 + -32. Let l = 36.3 + d. Sort u, 0, l.\nAnswer: u, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence elzz when four letters picked without replacement from {e: 1, w: 1, z: 4, l: 7}?\nAnswer: 7\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24918, 49829, 74740, 99651?\nAnswer: 124562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 28, -4, -3 in ascending order.\nAnswer: -4, -3, 4, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 9*f + 15. Determine v(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -0.1 (c) -444 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.47294 and 406.308939.\nAnswer: 403.835999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 8*l. Let f(u) = -2*u**2 - 60*u - 17. Determine j(f(z)).\nAnswer: -16*z**2 - 480*z - 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18528 is divided by 386?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/175*(-645)\/12771?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 30.\nAnswer: -11\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in 4, -2\/3, 3, -2\/7, 316?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 1\/4*l**3 + 0*l + 1 - 3\/4*l**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 7 = 3*w - 11, 0 = -5*g - 5*w + 20 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 18*o + 572. What is the remainder when o is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**2 + 92*l - 3. Let r(a) = -4*a**2 - 94*a + 15. Determine -2*r(c) - 3*z(c).\nAnswer: -c**2 - 88*c - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25163 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: Suppose 5*i - 21 - 14 = 0. Let l(p) be the second derivative of -p**5\/20 + 7*p**4\/12 - 5*p**3\/6 + 5*p**2 - 16*p + 20. Determine l(i).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 - 3708*v - 6874632.\nAnswer: -(v + 3708)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126794?\nAnswer: 2, 63397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -19 (c) -4 (d) 2 (e) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -6 - 4, -4*o = 2*i - 16. Suppose 0 = -3*l - o*c + 31 - 7, -4*l - c = -32. Suppose -12 = -l*w + 2*w. Solve w*r = m + m, 2*m - 4*r = -6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1207 - -4827\/4. What is the third biggest value in z, -3, 3, 9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 206, -2, 1, 4.\nAnswer: -2, 1, 4, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -648 + 673. Let h be (-3)\/(-2)*4\/6. What is the remainder when n is divided by h - (0 + (-7 - 1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10203353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + -143. Suppose 5*n - n + 20 = 0. What is the units digit of n\/30 + t\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-372)\/4650*(-2)\/(-2).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -102 - 90. Calculate the smallest common multiple of y and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/21319 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -486 (base 9) in base 7?\nAnswer: -1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 73735829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430848508.\nAnswer: 2, 107712127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from {k: 9, g: 1, i: 1, c: 1, a: 3, u: 3}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*s + 5*s - 816, 2*s - 3*g - 1632 = 0. Let l = s - 258. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j = 90*k - 92*k - 1182, 4*k + 264 = 4*j for j.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5304344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 771340?\nAnswer: -771334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-3*sqrt(108) - sqrt(108)))\/((sqrt(45) - (-4*sqrt(90) - sqrt(90))\/sqrt(2))\/sqrt(5)))**2.\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9\/8, 234453, -1\/2, 1\/6?\nAnswer: 234453","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -6351461.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, y: 4, h: 5, j: 2, q: 2}. Give prob of sequence hq.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-49 - (0 - 1)) + 4 + (362 - 364)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80981.96 millennia to months.\nAnswer: 971783520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 595874553?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9 - 2\/3*k**4 - 2\/3*k + 2\/9*k**5 + 4\/9*k**3 + 4\/9*k**2.\nAnswer: 2*(k - 1)**4*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516 - 36 = -8*j. Let u = -37 + j. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29\/3 - -10. Let d be (2 - (-8)\/(-4))\/1. Find g such that -2\/3*g + d + o*g**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*i + 0*i**2 - 5*i**2 - 176*i.\nAnswer: -5*i**2 - 289*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 10 = -9*b, -4*m - 101*b = -52*b - 44*b - 75 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 471577, 471573, 471567, 471559, 471549?\n\"Answer: -j**2 - j + 471579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59475 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 237137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*d - 8*d + 6*d + 4, -5*z = -8*z + 14*d - 37 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32523?\nAnswer: 3, 37, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -165, -657, -1477, -2625, -4101?\n\"Answer: -164*m**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 14 + 14 = -4*h, -101*h + 30 = 2*w - 155*h for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10413850 rounded to the nearest ten thousand?\nAnswer: -10410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**3 - 137 + 137 - 74*l**2.\nAnswer: -7*l**3 - 74*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/54 and -46\/63.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-6 + 11 + -4) - -5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1674371?\nAnswer: 1674371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*a - 13*a + 26*a + (-1 + 1 + 1)*(-2*a - 3*a + 4*a))*(-a + 0 + 0).\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-16) + -2)\/(-2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 351\/3271 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75246.\nAnswer: 2, 3, 12541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + d + 1. Let a(f) = 6*f**3 - 23*f**2 + 22*f - 32. Let v(q) = a(q) - 4*j(q). Let l be v(10). Is l greater than or equal to -158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k. Let t(d) = 96*d. Let s(c) = 88*o(c) - 2*t(c). Suppose -3*h - 1 - 2 = 0. What is the units digit of s(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15166 by 55495.\nAnswer: -15166\/55495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -59374137.1?\nAnswer: -59374133.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c. Let k(i) = 17*i**2 - 3*i - 3. Let q(v) = -19*v**2 + 4*v + 2. Let d(u) = -4*k(u) - 3*q(u). Give x(d(t)).\nAnswer: -22*t**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 - -31. Let x be 28\/210 + 150002\/h. Round x to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 3:28 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26.77 - -26.85. Which is smaller: -50.2 or i?\nAnswer: -50.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -3. Is -5\/2 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-6)*(-4 - (10\/3 + -4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 207.2 - 207.3. What is the third smallest value in s, 0.147, 0.08?\nAnswer: 0.147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -75*a + 15204. Give f(181).\nAnswer: 1629","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -19. Let n(a) = -4*a + 17. Let i be n(3). Suppose -5*s + i = 3*o - 9*s, s = -4*o + 32. Solve 0 = 2*h - 2*g - c, -4*h + g + 22 = o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 150 + 203. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -19*o**2 + 1. Let w(n) = 1007 - 3*n + 8*n + 21*n - 1007. Give w(m(p)).\nAnswer: -494*p**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 92864, 92877, 92900, 92933, 92976?\n\"Answer: 5*b**2 - 2*b + 92861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -569, 1389, 1 in decreasing order.\nAnswer: 1389, 1, -569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9432025.\nAnswer: 5, 17, 22193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(19)*-2)**2*2 + 4 + 0 + (5 + sqrt(76) - sqrt(19))**2 + (sqrt(152)\/sqrt(4))\/sqrt(2).\nAnswer: 11*sqrt(19) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * -1125.9\nAnswer: 11.259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 8 = -5*n. Suppose -11*i + 15*i = n. What is the third biggest value in i, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1382, -1370, -1346, -1304, -1238, -1142?\n\"Answer: y**3 + 5*y - 1388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1941917679 to the nearest integer?\nAnswer: 44067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 12:22 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.7? (a) 708 (b) 1\/2 (c) 2 (d) -2 (e) 6.9 (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (13 + -9 + -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 555 - 577 = -g, g - 6 = 2*m. Solve 26 = 10*a - g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*sqrt(72))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17.2, -0.2, -3, -2\/13, 106, 2.\nAnswer: -17.2, -3, -0.2, -2\/13, 2, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39112354, 156449493, 352011382, 625798015, 977809386, 1408045489, 1916506318, 2503191867?\nAnswer: 3168102130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, -0.1, -0.3, -3.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658 is divided by 106.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**3 - 19*u**2 + 3*u + 3. Let q be h(-6). What is the highest common divisor of q and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000106852 rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2241 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 49, 52, 65, 94, 145?\n\"Answer: t**3 - t**2 - t + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**3\/3 - 7*b**2\/2 - 7*b - 4. Let j = -64 - -58. Determine y(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-405)\/410 + 1)\/((-4)\/206) and -7\/16.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -m + 3*r, 3*m - 6*r + 4*r + 4 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.9 - -2. Let k = -3.8 + 4.3. What is the smallest value in k, a, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-485 - 238 + 482 - 661)*(-4*d + 2*d + 4*d)*(-4 + 4 + 2).\nAnswer: -3608*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 4\/18911?\nAnswer: 4\/18911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.013014g?\nAnswer: 13.014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22269205.\nAnswer: 5, 7, 636263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -152?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11890? (a) -4\/9 (b) 1.49 (c) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 12*h - 1680. Let g be 3\/(h\/(-205)) - -3. Let s = -29\/8 + 39\/8. Which is the third biggest value? (a) 5 (b) g (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6041 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3)\/(-1))\/((-33)\/(-253))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*r**2 + 417*r wrt r.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2959803 and 1848.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27223 - 24919. Calculate the highest common factor of 360 and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 742 a factor of 1624980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3348*c**2. Let l(g) = g**2. Calculate v(l(w)).\nAnswer: 3348*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 752.05 - 730. Let t = w - 22. Which is the smallest value? (a) 2\/5 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -450 + 489. Differentiate 10*h + 3 + 16*h + 12*h - 206 - l*h - 24*h**3 wrt h.\nAnswer: -72*h**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*r + 49*r - 8 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 2*h**3\/3 + h**2 - 4*h - 4. Let s(a) be the first derivative of m(a). What is the derivative of s(q) wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2 = -38. Solve 0 = 9*t - 6*t - z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 82 = k, 145*k + 4*y - 76 = 144*k. Calculate the lowest common multiple of 221 and k.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.9 (b) -2\/5 (c) -1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3059.1198 + 3087.2197677. Let f = k + -28.1. What is f rounded to six decimal places?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 9*x**2 + x - 2. Give u(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, c: 1, x: 1, s: 1, h: 3}. Give prob of sequence hh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 839702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 plus -0.72718711?\nAnswer: -123.72718711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 589889 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6447878 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 r, and 1 u when three letters picked without replacement from {n: 2, r: 1, u: 4}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = 125 - 5. Suppose -5*y = 5*g - 125, -1 + 21 = -4*g. Calculate the greatest common factor of y and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*z**2 + 3*z - 50 - 44*z - 19*z + 25*z**3 - 10*z - 15*z + 5*z**4.\nAnswer: 5*(z - 2)*(z + 1)**2*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -2, -1, 3, -3 in decreasing order.\nAnswer: 26, 3, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 11:27 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-343)\/(-231) + (-12)\/(-66)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 10) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -882*x**4 + 188*x**2 - 2*x - 243299 wrt x.\nAnswer: -10584*x**2 + 376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 a factor of 117118065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81 - 80.6. Let c = 3.6 - -0.4. Sort k, -2, c in decreasing order.\nAnswer: c, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2. Suppose 3 = -4*x - 1. Let h be b(x). Suppose r - 135 = -h*r. Is r a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/2 - 217958*c**2 - 1307755*c\/2 - 435919.\nAnswer: (c - 435919)*(c + 1)*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*i**3 + 7*i**3 - 4*i**3 + (4*i - 3*i - 3*i)*(0*i + 5*i - 3*i)*(i - 7*i - i) + (0*i + 2*i + 0*i)*(4*i + i**2 - 4*i).\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 872014232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 2*j = -14, s - 19 = -4*s - 4*j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, x: 4, g: 1, s: 2, d: 1, n: 3}. Give prob of picking 3 x and 1 g.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 9:32 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 22*c**2 - 23*c + 44. What is the least common multiple of 70 and x(24)?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-3) - (-848)\/(-24). Let u = 41 + q. Suppose 3*t - 5*d = -1, -d + u = 2*d. Solve t*z = 4*z - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 61*d**2 - 1. Let l(b) = -244*b**2 + 4. Give 2*l(o) + 9*s(o).\nAnswer: 61*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 14 = -4*c. Suppose 0*h = -c*h. Solve 1 = -h*g + g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1048.9 and 39?\nAnswer: -40907.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -34. Suppose d + z = 12, -5*d - 2*z = -36 - 12. Calculate the remainder when v is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g - 5. Let t be ((-108)\/(-81))\/((-2)\/84). Let y = t + 55. Let c(m) = m. Calculate y*z(l) - 6*c(l).\nAnswer: -2*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -91722151 rounded to the nearest 100000?\nAnswer: -91700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1879590.\nAnswer: 2, 3, 5, 62653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01 from 1.2421411.\nAnswer: 1.2521411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + -2 - (-395)\/10)*-2. Let y = j + 75. What is the third derivative of -4*k**3 - 17*k**y - 16*k**5 + 3*k**3 + k**3 wrt k?\nAnswer: -960*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-18) + (-15928)\/(-99). Suppose 2*z + 200 = -5*b, 40 - m = 3*b + z. Let w be (b\/(-35))\/(6\/15). Solve -3 = 3*r + w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46336 = 4*l + 4*d, -2*l = -4*l - 4*d + 23172. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 11208931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 90\/(-483) - (-1664)\/1456\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -v. Suppose v = -0*j + 3*j - 63. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddbndlddbdnddknddxb. What is prob of picking 1 k, 1 l, and 1 x?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106.498 - 0.098. Let f = -106 + p. Which is the closest to 0.1? (a) -2 (b) f (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76 + 88. Let w(y) = -4*y**2 - 10*y - 9*y + y**2 + 5*y**2 + 27. What is the units digit of w(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1303 is divided by 591.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*c + 2*o + 43 = 182*c, -4 = c + o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 + 43. Calculate the remainder when (-705)\/n - (-28)\/(-49) is divided by ((10 + 2)*4\/8)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 6:41 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 5:50 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/21*(-1)\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 987 = 8*d - d. Suppose -3 = -b, -t + 177 + d = -3*b. What is the remainder when t is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62532.71mm to centimeters.\nAnswer: 6253.271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16535324 to the nearest integer?\nAnswer: 4066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/4 (b) 3 (c) -4 (d) -11 (e) -362 (f) 0 (g) -2\/15\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2300740 (base 8) in base 7?\nAnswer: -5203352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 1) + -8 + -16 + 15 + 14?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 5*p = -25, 3*j + 56 - 25 = 5*p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9291 and 627.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(2*sqrt(42)\/sqrt(7) - sqrt(6)) + (sqrt(204) + 5*-3*sqrt(204) - sqrt(204))\/sqrt(12) + -4 + 2)**2.\nAnswer: 56*sqrt(17) + 3336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -45.3 (b) 1\/7 (c) -2 (d) 2042\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-33))\/(((-728)\/308)\/(-13))*35\/(-2).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - -28. Let v = z + -2. What is the highest common factor of v and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/8 - 46899*a**3\/2 + 4409993079*a**2\/4 - 514044790623*a\/2 + 120136440298329\/8.\nAnswer: (a - 93681)**2*(a - 117)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -5*j**4\/24 + j**3\/3 + 16*j**2. Determine o(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 1:22 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/18 + (561\/27 - 9). Let a = 10 + 12. Suppose -a = -5*y - x. Solve 3 - 5 = -y*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7\/2, -2, 0.04, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.88 - -1. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1669fd0a - 3?\nAnswer: 1669fd07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8517990 divided by -5\nAnswer: 1703598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4) + (-27)\/(-12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7058?\nAnswer: 2, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmqmmqmmmmqqmmmmm. Give prob of picking 4 q.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 45701, 45803, 45905, 46007?\n\"Answer: 102*t + 45599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.05 - -0.1. Suppose 7 - 1 = 6*p. Let o be p - ((-7)\/(175\/(-60)) - 1). Which is the nearest to o? (a) -2 (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 20310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32908 and 152.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 868 and 62?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -0.432, 5, -1\/4, -11.\nAnswer: -11, -0.432, -1\/4, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 2*c + 0*c**4 + 0*c**2 + 3\/20*c**5 + 7\/6*c**3 + 0. Find the second derivative of s(m) wrt m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12305 divided by -23?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192888657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80232 is divided by 26738?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (-8)\/2 + (-5 + 7 - -146)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2521, -1, -5.\nAnswer: -2521, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-7)*((-16415)\/140)\/(-7) - -5.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 11*u**2 - 13*u + 15. Suppose -3*i - 5*k = -57 + 16, -2*i - 2*k + 26 = 0. Let r be f(i). Solve 2*w + 5 + 2 = -5*l, -w + r = -4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-140)\/(-21)*(-21)\/35.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 4. Let d = -3.5 - n. Which is the closest to 1\/3? (a) 0.5 (b) d (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29 + 30 - 6*p + 0*p + (1 + 1 - 1)*(2*p + 2*p - 6*p).\nAnswer: -8*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 31495 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18826 is divided by 9064?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168068 is divided by 56005?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 831154332?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17715073?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k - 1. Let w be r(1). Let j(a) be the first derivative of a**4\/4 - a**3 - 3*a**2 + 5*a - 49. Calculate j(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 726*i**2 + 4447*i - 758. Give f(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/((f**(-7)*f)\/f)))**(1\/62) assuming f is positive.\nAnswer: f**(-7\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10609.261 rounded to the nearest 100?\nAnswer: -10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -119.206 + 120. Let b = t - 0.054. What is b rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -46.\nAnswer: 5\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 11*v - 2. Let j be m(-12). Let p = 16 + j. Let d be 1\/(-1)*0\/p. Is d < 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -5*g + 27. Find y, given that -20*y**2 - 25445 - 5*y**4 + 25445 + 25*y**g = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r + 1052. Let b(h) = -h - 1. Let g(m) = -3*b(m) + x(m). Let q be g(0). Suppose 5*w = -4*a + q + 231, 3*w = 3*a - 951. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + l - 1. Let w(b) = 0*b**2 + 0 + 1 - b + 2*b**2. Let x(g) = d(g) + w(g). Let j(u) = 13*u + 15*u + 11*u - 32*u. Determine x(j(f)).\nAnswer: 49*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15599 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 40466 - -0.003\nAnswer: 40466.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-7)*(-1758)\/1172?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 437 - 435. Solve -w*t - 6*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 836666 and 443244?\nAnswer: 1718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -88, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -136682.61459 and -5.9.\nAnswer: -136688.51459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52076?\nAnswer: 2, 47, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 9. Let m(n) = n**3 + 3*n**2 - 3*n + 4. Let h be m(r). Does 11 divide (0 + -2)*(-11 + h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -7397?\nAnswer: -7397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*n = 3, 4*w + 4*n - 4 + 8 = 0. Let u(d) be the third derivative of -1\/8*d**4 + 0 + w*d + 3\/2*d**3 - 5*d**2. Differentiate u(t) with respect to t.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448.5 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 = -0. Let u be 5 + p + 0 - 0. Let y(q) = q**3 - 3*q**2 + 3*q - 4. Let b be y(u). Put 1, 4, b in descending order.\nAnswer: b, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = j - 17, -4*j - 16*a + 21*a = -16. Let o(p) = 3*p + 5. Calculate the remainder when o(4) is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.02 - -0.02. Let y = z - -5. Are y and -1\/18 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -144.6? (a) -4 (b) -3 (c) -5 (d) -2\/5 (e) -693 (f) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -12. Let p = -13 + h. Let z(c) = c**3 + 4*c**2 - 3*c + 2. Calculate z(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3, 3, 9?\n\"Answer: 6*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81483 is divided by 106?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - (-142 - -40)) + (-2 - 17).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(1\/4))\/y**23)\/(y\/y**(-2\/27)*y**(1\/7)\/y) assuming y is positive.\nAnswer: y**(-16985\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 103787001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/4*-2*(-172)\/(-5590). Put -21\/2, z, 3, -0.4, 17 in decreasing order.\nAnswer: 17, 3, z, -0.4, -21\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401066870.\nAnswer: 2, 5, 23, 97, 17977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2.89, 4, 16 in decreasing order.\nAnswer: 16, 4, 2.89, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 243194 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 2:50 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = f - 8. Let a(g) = -25*g + 13. Let j(x) = -26*x + 12. Let w(k) = f*a(k) - 4*j(k). Differentiate w(l) with respect to l.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00101432 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 1. Suppose -7*z = -17*z + 12*z. Suppose t = z, 4*i + 0*t = 4*t + 8. Put i, g, 1 in ascending order.\nAnswer: 1, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2 + 416541632*y + 21688366398652928 = 0. Calculate y.\nAnswer: -104135408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10\/9 + 4\/9. Let k = -4 - -8. Which is the nearest to t? (a) k (b) -1\/4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3185 and -6226281?\nAnswer: 6229466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 4, 0 in descending order.\nAnswer: 4, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-5) - 357\/(-85). Let f be 5 + ((-3)\/(-1) - (1 - -1)). Let q = f + -6. Solve -s*v + 2*v - 4 = q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5 - 12*m**4 + m**3 + 12*m**2.\nAnswer: -m**2*(m - 1)*(m + 1)*(m + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11873 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: b\"What is the jth term of -698, -1414, -2146, -2894, -3658?\n\"Answer: -8*j**2 - 692*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, -3\/2, -5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 20 = -2*p. Let n = 29 - p. Calculate the lowest common multiple of 4 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110001011101010 (base 2) to base 11\nAnswer: 18030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-2)*(-7 - -6). Let o(k) = 2*k**3 + 9*k**2 + 5*k + 8. Let z be o(t). Solve 0*y = z*y + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 - 40*b - 30. What is r(-18)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -5*n + 7306, 4*n - 7*n = 3. What are the prime factors of a?\nAnswer: 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-2))\/(70\/5)*-14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -703 + 706. Let f(r) = r**2 + 4*r - 8. Let c be f(-6). What is the smallest value in c, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.91041152 rounded to three decimal places?\nAnswer: 3.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*o + 2*v, -4*o + 57 = 3*v + 2*v. Let w = 21 - o. Does 8 divide (-6)\/w - (-297)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -43 (b) -2\/5 (c) 2\/31 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -14*n**2. Let b(k) = 2. Let a(l) = l - 5. Let d(s) = -2*a(s) - 5*b(s). Give t(d(z)).\nAnswer: -56*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l - 30*l - 19*l)*(-44*l**4 - 15*l**4 - 80*l**4).\nAnswer: 7506*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0053835 to 4 decimal places.\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-4 - -123) + 0 + 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -489 or -488?\nAnswer: -488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/6 + 76577*n\/2 - 114864.\nAnswer: -(n - 229728)*(n - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 7 = 13. Let y = -6 - -9. Suppose 4*v = v - y. Put i, 0, v in descending order.\nAnswer: 0, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3 - (11\/(-5))\/((-72)\/30) and -103\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3139, 3131, 3123?\n\"Answer: -8*l + 3147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1900) + sqrt(1900) + -2*sqrt(1900) + sqrt(57)\/sqrt(3) + -4)**2.\nAnswer: -210 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 5*h + 3*h + (0*h - 5*h + 4*h)*(69 + 57 - 5))*(-h + h + 2*h).\nAnswer: -244*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 503673887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 11. Let b = -8 - g. Let n = -3 - b. What is the closest to 1 in n, -0.5, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0547 + -24.3953. Let j = -25 - n. Let s = j + 4.3. What is s rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - x + 2. Let w be z(0). Suppose w*c - 15 = 13. Let o = 8 - 2. What is the least common multiple of c and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1542 - 1544. Let c be 12\/(-12) - -2*2. Sort 11, o, 0, c in increasing order.\nAnswer: o, 0, c, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 18*t + 32. Suppose -2*a - 15 = a, -17 = -2*p - 3*a. Let l be c(p). Is -10\/13 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, k: 3, a: 3}. What is prob of sequence aka?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*l - 20371995 = -89*l + 5*n, -1 = -n. Round l to the nearest one hundred thousand.\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 3*s - 16. Let z(y) be the third derivative of y**8\/20160 - y**6\/180 + 4*y**5\/15 - 9*y**2. Let u(r) be the third derivative of z(r). Give u(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 2*s**2 + 3*s - 3. Let q(d) = -2*d**3 + 5*d**2 + 7*d - 7. Give -7*h(m) + 3*q(m).\nAnswer: m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 16 = 2*s, 2*s + i = -0 - 4. Let m(t) be the second derivative of 1\/12*t**4 - 3*t + s*t**3 + 0 + t**2. What is the first derivative of m(n) wrt n?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*r = 395*r - 168 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 543 - 0.1\nAnswer: 542.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.66409t to kilograms.\nAnswer: 4664.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -37852917 and -266.405?\nAnswer: 37852650.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 0*z**5 + 0*z - 1\/15*z**6 + 0 - z**3 - 8*z**2 + 0*z**4. What is the first derivative of m(t) wrt t?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 4*c**2 + 6*c - 5. Let g be l(3). Suppose 0 = 4*h + 4*n - 2*n - g, 5*n + 4 = 4*h. What is the least common multiple of (2*28\/8)\/h and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138057*213.3.\nAnswer: 29447558.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/(1782\/(-180)))\/((-18750)\/(-2700)).\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 71*k - 5*k**3 - 73*k + 144*k.\nAnswer: -5*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*f + 151*f + 90 = 91*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 220\/441 - -2479751\/7056. Let l = -40295\/112 + n. Let u = -111\/28 - l. What is the common denominator of u and 151\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 11*j**2 - 69*j - 10. What are the prime factors of q(19)?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**2 - 120*o = 0.\nAnswer: 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijajnsajainanajijnn. Give prob of sequence sjj.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpxp when four letters picked without replacement from ppxppx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 335, 3, -3.\nAnswer: -3, 1, 3, 335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 109, 111, 111, 109, 105?\n\"Answer: -s**2 + 5*s + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**20*x)\/x)\/x)\/x**(-30)*x**(-1\/18)*(x\/x**(-1\/4))\/x assuming x is positive.\nAnswer: x**(1807\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**7*f*f*f*f**(-4\/3))\/(f**(-1\/3)\/f*f)**(-31))**(-38))**(2\/65) assuming f is positive.\nAnswer: f**(152\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k. Let l(i) = i**2 - 9*i + 6. Let m be l(9). Is 12 a factor of v(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -142 + 145. Let v be 6\/2 + (-26)\/8. What is the nearest to v in -2, -4\/9, t?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**5\/2 - 2*p**4 - 14*p**3 - 16*p**2 = 0 for p.\nAnswer: -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -0.5 (c) 1.1 (d) 0 (e) -709\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 1. Let a be u(1). Are a and -4\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.8 less than 0.0506353?\nAnswer: 7.8506353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**4\/12 - 19*i**3\/6 + 72*i**2. Let w be g(-11). Solve w = 4*p + l + 18, 5*p - 2*l = -35 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 11*p - 3. Let x be a(2). Suppose -15*g - 8 = -x*g. What is the lowest common multiple of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 30*q**2 + 204*q + 160. Give t(13).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 217168 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 12 = -2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108125 = -n - 4*n. Suppose -s = -u + 3*u + 10805, n = -4*u - 5*s. Round u to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -385834*j**3*q**2 + 754*j**3*q - 203*j**3 + 2*j*q - q**2 + 2*q + 1 wrt q?\nAnswer: -771668*j**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67331646?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/4 + 2 + 423\/(-72)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.22 * -1243.\nAnswer: 273.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.05, 52, 0.03, -1\/6?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 5*a + 12. Let q be p(-6). Suppose -u = 3 - q. Solve -2*m - 1 = u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 289*g + 24363 - 24363 - 325*g - 989*g in the form v + j*g and give j.\nAnswer: -1025","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-33))\/d)\/(d*d**(-12\/11)\/d*d)*(d*(d**(-4\/29)\/d)\/d)\/d**(1\/19))**(37\/2) assuming d is positive.\nAnswer: d**(-3823543\/6061)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3\/2))**(-14)*h**(4\/7)*(h**11\/h)\/h)**18 assuming h is positive.\nAnswer: h**(3852\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 106796 to the power of 1\/2, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/34, -9, 0.9, -2\/11 in descending order.\nAnswer: 0.9, -1\/34, -2\/11, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*s**3 + 74*s**2 + 108*s**2 + 49*s**3 + 159*s**3 + 73*s**3 wrt s?\nAnswer: 1626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -873872, 7, 2.\nAnswer: -873872, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svss when four letters picked without replacement from {v: 1, s: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5171*v + 8583853. Calculate h(-1660).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + q**2 + 2*q + 1. Let o(l) = 8*l**3 + 732 - 130*l - 23*l - 248*l - 377*l + 88*l**2. Let k(d) = 20*b(d) - 2*o(d). Let k(t) = 0. Calculate t.\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 1\/6, -2\/7, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chz when three letters picked without replacement from hhphhzgpzccp?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-28)\/1330*-19*(1825 + 0)?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-380) - (-268)\/19 - -14?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + n - 4. Calculate r(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*d + 7, 15 = 5*d + 9*w - 4*w. What is the lowest common multiple of d and 4*(-1)\/2 - -14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2 + (0 - 36\/(-8)). Let h be 10\/4 - 4\/8. Let m be (-1)\/((-2)\/(-1) + -1). What is the closest to m in h, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7626414, 15252820, 22879236, 30505668, 38132122, 45758604?\n\"Answer: c**3 - c**2 + 7626402*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.2, -0.2, 4, 0.03?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4953 is divided by 81?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -81*w**3 - 21*w**2 - 127*w + 73. Is n(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2863 - 0.2863. What is the second biggest value in -5.1, 15, 1\/6, s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 10. Suppose -176 = -5*o + 159. Suppose 3*l + j - o = 0, 4*l + 4*j = 11 + 65. Solve 2*s - t*s + 4*w = -4, -l = -4*s - 4*w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*z + 122*z + 5088 = 322*z for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o. Let k(a) = -2*a. Suppose -3*i = -i + 4*s - 12, 20 = 4*s. Let q(v) = v**3 + 3*v**2 - 5*v - 6. Let z be q(i). Determine z*t(w) - 7*k(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 688271 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**0)**(12\/5) assuming k is positive.\nAnswer: k**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - -1. Let v = -42 - -74. Suppose -2*a - 4 = -v. Calculate the remainder when a is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.4, -5, 9.8, -2, -1\/6?\nAnswer: 9.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -345*q**4 + 468*q wrt q?\nAnswer: -4140*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-225)*10*((-19)\/114)\/((-2)\/42).\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133845705337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**2 + 0*f + 3\/4*f**4 + 0*f**3 + 4. Find the second derivative of p(b) wrt b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 5*s + 40 = 49, 0 = -f - 5*s + 21 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*h**2*m**3 - h**2*m**2 + 32*m**4 + 3*m**3 - 1916*m**2 wrt m.\nAnswer: -60*h**2 + 768*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**2 - 6*q + 4*q - 2*q**3 + 0*q**2 to the form c*q + u + h*q**2 + o*q**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*v + 456 + 259 = 0. Let d(m) = -4*m - 11. Let z(g) = -4*g - 12. Let q(f) = 5*d(f) - 4*z(f). Let r(p) = 9*p + 15. Determine v*q(i) + 6*r(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26766438547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/9)\/((-10)\/15). Calculate the remainder when 9\/2*(o + -2 + 6) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnillltlbibitiil. What is prob of picking 1 i and 1 n?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -4. Let s be (2\/(-3) + 1)*v. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, b: 5}. What is prob of picking 2 a and 2 b?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o. Let c(a) = a. Let h(q) = 3*c(q) + f(q). Let k(b) be the second derivative of 0*b**3 + 1\/4*b**4 - 12*b + 0*b**2 + 0. Calculate h(k(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -94*s**4*t - 34*s**4 + s**3*t - 3*s**3 + s**2 + 1329*s*t wrt s.\nAnswer: -2256*s*t - 816*s + 6*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 15*h - 4 = -14*h, 0 = 5*h + 20. Which is the closest to 4? (a) -2\/9 (b) g (c) 12\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67866376 a multiple of 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6528\/11 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjjrjjrdrajraajjjja. Give prob of picking 1 j and 2 a.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 725 - 729. What is the closest to -2 in j, 8, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111001 - 11?\nAnswer: 1000110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -4. Let w(f) = f**g + 10*f + 6 + f + 5*f - 9*f. What is w(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)*-2 + 4.\nAnswer: -6*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334*j + 45*j = -6069 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 41\/2 of a day?\nAnswer: 29520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11863200 and 17.\nAnswer: -11863183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-704.\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*i = -176*i + 15, -21 = -4*d + i for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eedsrjasssjedsdssd. Give prob of sequence ejs.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t + 6. Let n be c(-4). Let q(r) = r**2 - 6 + 7*r - n*r + 0*r**2. What is q(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 91472818?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15503, 61975, 139427, 247859?\n\"Answer: 15490*l**2 + 2*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 880 - 880. Suppose -41*f + 31*f + 140 = x. Solve -5*h - 6 - f = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36471566 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -252223, -252206, -252181, -252148, -252107, -252058?\nAnswer: -252001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4100 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -287\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*n - 59 = 9*y + 68*n, n + 4*n + 60 = -4*y + n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w + 12. Let x(p) = -6*p + 13. Let b(r) = 4*s(r) - 3*x(r). Let z be b(6). Let d(v) = v**3 + 4*v**2 + 3*v - 1. Give d(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/23, -6, 0.4.\nAnswer: -6, 0.4, 10\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10300 (base 8) to base 6.\nAnswer: -31504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 8*r**2 - 8*r + 4. Let q be v(7). Let x(a) = a**3 + a**2 - a - 1. Let t be x(q). Let s = -15 - t. Put s, -5, -2 in ascending order.\nAnswer: -5, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 10 = 2*c. Let w = -3 + c. Suppose w*z - 12 = -6. Which is smaller: 3\/2 or z?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145*((-23)\/(-5) + -11 + 7) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, z: 1, t: 1, s: 2, d: 2}. Give prob of sequence dtzc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 202 divided by 11\nAnswer: 202\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -q**4\/4 - q**2\/2 - q - 637. Let g(i) = 8*i**3 + 12*i + 12. Calculate 2*g(r) + 24*k(r).\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 355765 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**5\/15 + k**2. Let c(i) be the third derivative of i**4\/24 - i**2. Calculate c(j(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) 0.1 (c) 16958256\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -0*k - k - k + k + 2*k, -9*p = -2*k - 74 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7825604?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36437 and 166.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -23163*h - 15. Let f(p) = 655420244*p + 424435. Determine -3*f(n) - 84887*v(n).\nAnswer: -23151*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20925, -20908, -20891?\nAnswer: -20874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-14)*(x\/(x\/(x\/x**30)))\/x*x*x*x*x**(-18)*x*x\/(x*(x\/(x*x**(1\/13))*x)\/x))**(7\/4) assuming x is positive.\nAnswer: x**(-658\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 780200 and 1200?\nAnswer: 4681200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/6 (b) 0.08 (c) -6 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -244815030 divided by -112870.\nAnswer: 2169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14663880?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b. Suppose 3*p = -4*i - 7, 3*i - 3*p = -0*p + 21. What is z(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2310608 and 288.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 x when four letters picked without replacement from {v: 3, u: 1, o: 4, e: 3, z: 3, x: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 345386113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, g: 8}. Give prob of picking 4 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, h: 4, i: 8, l: 5}. Give prob of sequence iih.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-6)\/(p*p\/((p**(-1)*p)\/p))*p*p*(p*p**(7\/2)\/p)\/p*p*p*((p\/(p**(2\/17)*p))\/p)\/p assuming p is positive.\nAnswer: p**(-157\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 1. Let n(x) = -6*x**2 + 2*x + 7. Let z(m) = -m**3 + 11*m**2 - 17*m - 7. Let j be z(9). Let v(s) = j*n(s) + 14*l(s). What is v(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s*s**17)))\/s**(-19))\/((s\/(s*s\/s**(-2\/57)))\/s**(-19)))**(-1\/8) assuming s is positive.\nAnswer: s**(-1085\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62*((-15)\/(-6))\/5.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r - 4. Let l be k(4). Suppose -n - 5 = -2*n + z, 0 = l*n + 5*z + 25. Solve 3*s = 3*a + 9, -2*a = -5*s + 6 - n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2052, 8202, 18446, 32790, 51240?\n\"Answer: g**3 + 2041*g**2 + 20*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + ((sqrt(121)\/sqrt(11))**2 + 2 - -2*sqrt(121)\/sqrt(11)) + 2).\nAnswer: -39 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 86\/12556*(-20)\/(-1). Let t = v - -199\/146. Suppose -t*i - 6*i**2 + 3 + 9\/2*i**3 = 0. What is i?\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 - 5 - (4 - 1 - 3). Let d(u) = 8*u**2 + 2*u - 3. Let f(a) = -367 - a + 740 - 372 - a**2. Determine t*d(y) + 2*f(y).\nAnswer: 6*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 44*n**2 + 44*n + 55. Calculate o(45).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -411*k**2 - k. Let d(g) = 25*g**2 + 21. Let v(a) = -12*a**2 - 9. Let p(x) = -3*d(x) - 7*v(x). What is y(p(m))?\nAnswer: -33291*m**4 - 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -8*z**2. Suppose -5*l + 25 - 5 = 0. Suppose -l = -31*h + 29*h. Let v(r) = 13 - 3 - 10 - 3*r**h. What is d(v(k))?\nAnswer: -72*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, l: 1}. What is prob of picking 2 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 82263229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**7\/1680 + s**6\/480 + 3*s**5\/40 + s**4\/6 + 5*s**3\/6 + 17*s**2. Let q(c) be the second derivative of z(c). Factor q(v).\nAnswer: -3*(v - 3)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**2 + 69757685*n - 69757685*n.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30366 = 5*r + 3*f - 83731, -4*r - f = -91272. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**2 + 66*n + 34. Let s be w(17). Solve s = -v, -3*i + 3*v = -0*i + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 + 0*k**3 + 4*k - k**3 + 4*k**2 - 4*k**2 - 2*k**3 + (0*k + 0*k - k)*(-k**2 - k**2 + 4*k**2).\nAnswer: -5*k**3 + 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 11*h - 16 = 0. Let x(t) = h*t - 13*t + 2*t. Let f(c) = -2*c. What is x(f(z))?\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 2:13 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**3 + 3*y**2 - 2. Let b(j) = 246*j**3 - 2*j**2 - 8586*j + 2. Let z(n) = b(n) + w(n). What is the second derivative of z(k) wrt k?\nAnswer: 1488*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tft when three letters picked without replacement from tffftffttffftfff.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 1. Let x(j) = -2*j - 33. Let i(v) = x(v) - 3*y(v). Let n be i(18). Is (-1)\/(-2) + (2 - n\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -28. Let h be 216\/(-28) - 4\/14. Let v = h - -13. Calculate the remainder when n is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -96 + 132. Calculate the remainder when 45 is divided by d*((-24)\/9)\/(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52882 + -22138. List the prime factors of l.\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1432204 - -222?\nAnswer: 1432431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4482 is divided by 1120.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 89?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 1:20 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*v**2 + 3*v**2 + 28*v**2 - 106*v**2 + 74*v**2.\nAnswer: 163*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 - 53. Suppose q = -h - h + 40. What is the greatest common factor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 3*x. Suppose x = 3*z - 0*z. Let n = z - -1. Put -1, n, -4 in ascending order.\nAnswer: -4, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 1148 = -3*h + o, 3*o = -5*h + 1923. Is 24 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 635*b**2 + 16*b + 18. What are the prime factors of v(-5)?\nAnswer: 3, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*i**3 - 6205*i**2 - 31870*i - 8600.\nAnswer: -5*(i + 5)*(i + 172)*(7*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1022765 and 190?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3696\/9)\/44)\/((-8)\/4*3\/(-36))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, j: 1, w: 2, c: 2, x: 3, s: 4}. What is prob of sequence cs?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/3 + (-24793)\/(-3). Let b be (j\/(-16))\/(1\/2). Is 12\/54 + b\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4357, 2, -3, 3, -1, -16 in decreasing order.\nAnswer: 4357, 3, 2, -1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*f - 33, f - 3*l + 4 - 3 = 0. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 + 22*v + 8. Calculate l(-9).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 137660 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-10) + (134 + 45)\/(-13 - -8)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c = 7*c + 15. Let a be c*(35\/(-10))\/7. What is the third biggest value in -5, -2, 6\/7, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-213)\/1065*50\/14.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/192, 0.3, 2, -4\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6*c + 7. Let t(j) = 0 + 1 + 6*j - j - 7. Let b be 12*3\/12*-2. What is b*f(p) - 7*t(p)?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -340 + 5?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-12) + (-284488)\/(-48). Suppose 3*h + 2*g - a = 0, 5*h = 3*h + g + 3942. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -4, 3, 24.9, -120\/113?\nAnswer: -120\/113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7157 + -0.0263. Let y = c - -0.8427. Let q = -0.109 + y. Round q to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + -1 + (45 - 2)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00987419 to 4 decimal places.\nAnswer: -0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-4) - 2)*-2. Is -4\/9 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-4))\/(60\/(-216)*-6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 9:34 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and -18.\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 1684730635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -g. Suppose -5*l + 0*d - 3*d - 4 = g, -l = -3*d - 10. Is l equal to 8\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221129 is divided by 20090?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*a**4 - 247579 + 3*a - a**3 - a**3 + 247579 to m*a + q*a**4 + b + o*a**3 + u*a**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.73, 0.7, 0.092, -6\/17 in decreasing order.\nAnswer: 0.7, 0.092, -6\/17, -0.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14232 - 31467?\nAnswer: -15235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 1\/6, -3\/8, -131, -0.076 in descending order.\nAnswer: 1\/6, -0.076, -3\/8, -23, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -9*a. Let z(r) be the first derivative of -r**2\/2 + 13. What is v(z(o))?\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 222 and 1073.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6510854.2 rounded to the nearest one hundred thousand?\nAnswer: 6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 229\/33 - (-230)\/3795.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/2*q**3 - 8*q + 4*q**2.\nAnswer: -q*(q - 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 1496 - 616. What is the remainder when d is divided by 76?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2320830*n*y**3 + n*y + 11*n + 2*y**2 + 312 wrt y.\nAnswer: 13924980*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 928 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -41, 0.29 in descending order.\nAnswer: 0.29, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*a**3 - 19*a - 62 wrt a.\nAnswer: 12*a**2 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -321517.\nAnswer: 13\/321517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25112 (base 6) to base 2.\nAnswer: -111010000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19966*n**3 + 35535*n**3 - 28169*n**3 + 60396*n**3 + 74703*n**3.\nAnswer: 162431*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 789.\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 854487278?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*k - 5 = 0, -3*x + 674 = -2*k. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - -17. Is m less than or equal to 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -22. Suppose -2*p - p + i*p - 2*p**2 - 7*p = 0. What is p?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16694.8733 to the nearest 10.\nAnswer: 16690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 51, 69, 87?\n\"Answer: 18*a + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**2*z)*z*z)**21\/(z**(-8\/3)*z**(5\/4)*z*z))**(-4) assuming z is positive.\nAnswer: z**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-277 + 301)*(-2)\/(-24)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 10 = 2*f, -2*f + 5*f - 3*v = 15. Solve 2*u = -3*q - 13, 2*u - 1 = -f for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364482 to the power of 1\/2, to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 44371 - 8189. Round l to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 1. Let z(d) = d**2 + 3*d. Calculate r(j) + z(j).\nAnswer: 2*j**2 + 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -23e368 (base 16) in base 12?\nAnswer: -955120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, u: 3, x: 1, q: 3}. What is prob of picking 1 x, 1 k, and 1 q?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13 (b) -2\/11 (c) 4 (d) -4\/3 (e) -3.9 (f) 1\/106 (g) 2\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*a - 10. Let h = 0 - a. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**2 - 16*d - 1. Let t be x(9). Let s = 46 + t. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1497 + -1502. Let u be 8\/(-22)*(-8)\/(-32). Which is the fourth smallest value? (a) -0.2 (b) -0.1 (c) j (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1344 - -2453. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 886*z + 300404. Calculate x(-339).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10 times 0.37156\nAnswer: 3.7156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4571837 + 6622356.\nAnswer: 11194193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*f = -27513 + 108473. Solve 742*a - f*a + 18 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**4\/12 + 15*l**2 - 88. Let u(g) = -g - 144. Calculate r(u(k)).\nAnswer: 2*k + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-89 - (-20 - 51)) + (5 - 49)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**2 - 6*o**2 - 6*o**2 + (-3 + 3 + o)*(3 - 3 + 2*o) - 4*o**2 + 4*o + 2*o**2 + 4*o**2.\nAnswer: -5*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*a - 3. Suppose -3*x = o - 6, 1 = -a*x + 4*o + 7. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -661, -676, -667, -622, -529, -376, -151, 158?\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10, v: 4, g: 5}. Give prob of sequence rrgg.\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -43, -217, -527, -979, -1579?\n\"Answer: -i**3 - 62*i**2 + 19*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 40 = 2*u, -c + 4*u - 22 + 68 = 0. Suppose -4*y + c = -y + 2*p, -4*p - 42 = -3*y. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -382\/3 or -127?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**5\/30 - q**4\/9 - q**3\/9 + 2*q**2\/3 + 7*q. Factor r(w).\nAnswer: 2*(w - 2)*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lywy when four letters picked without replacement from wyyclc.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15.3 - 14. Let u = -0.3 + a. Let t(j) = -j**2 + 3*j - 2. Let s be t(2). Are s and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, z: 3, v: 1, s: 1, d: 1}. What is prob of sequence vsd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -a - 3*w + 6, 4*a + 4*w = 0. Let i = a + 4. Suppose -4*n - 3096 = -g, 28 - 15525 = -5*g + i*n. Round g to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 83466.\nAnswer: -7\/41733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 36 = 4*n - 5*p, -4*n = 5*p. Let j = n + -3. Factor -4\/7*d**4 - 2\/7*d**3 + 0*d**j + 0*d + 0 - 2\/7*d**5.\nAnswer: -2*d**3*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 143, -1022\/83.\nAnswer: -1022\/83, 4, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-8) + (60\/16)\/5. Let k be 0 + (-2)\/6 + 3\/9. Which is the closest to -1\/3? (a) k (b) x (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 0*k + 8*k - 1 - 4 + 900*k**2 - 907*k**2 + k**3. Calculate w(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42944 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/73 - 124\/803. What is the smallest value in o, 14, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1920661*x. Let m(o) = o**2. What is m(s(n))?\nAnswer: 3688938676921*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = v - 38. Suppose -4*a = -3*h - 66, -3*a - h + v = -2*h. Calculate the remainder when a is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-8 - -7)*3\/9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0645250752 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -31*f + 330. Let u be z(11). Is (-10558)\/(-11) - 2\/u a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*s**4 - 1795*s - 9043 wrt s?\nAnswer: 12*s**3 - 1795","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 11.93. Let s = u + 3.93. Let w = 106 - 108. Which is the closest to 0.1? (a) w (b) -0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 274375455558842 + -274375472518002.1400039. Let q = v - -16959161. Let b = q + -0.86. What is b rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 w when two letters picked without replacement from kwfkkwykfwwfwffw.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7840300217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 - 2*g - 7. Suppose -7 = -n - 2*r, 5*r = 5*n - 17 + 12. Give c(n).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a - b?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/2 - (-31)\/2. Suppose 12992 = 10*j + w*j. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**8\/40320 + i**7\/1890 - i**6\/270 - i**4 + 5*i**2 + 1. Let h(a) be the second derivative of w(a). Solve h(d) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 7*f**3 + f + 1\/2*f**2 - 5. List the prime factors of u(-1).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -136*g**4 + 12796*g**3 + 3392814*g wrt g.\nAnswer: -1632*g**2 + 76776*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21434, -21497, -21560, -21623, -21686?\n\"Answer: -63*b - 21371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 8*y + 0 - y + 3.\nAnswer: -9*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 0, -5 in decreasing order.\nAnswer: 3, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 - 85. Let b = x + 49. Let z(f) = 9*f**3 + 8*f**2 - 14*f. Let l(y) = 5*y**3 + 9*y + 0*y - 45*y**2 + 40*y**2 - 11*y**3. Determine b*l(p) + 5*z(p).\nAnswer: -3*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186 and 534.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 150508\/(-112) + (1 - -1). Let d = -1342 - g. Let z = d - -137\/140. Does z = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -101, -158, -215?\n\"Answer: -57*n - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 1694?\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 8866110.72 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3197887*c*h**2*l**3 + 14*c*h**2*l**2 - c*l - c + 18*h**2*l**2 - 3*l**2 wrt l.\nAnswer: 19187322*c*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (65*w**2 + 118*w**2 - 28*w**2)*(4 - 2 - 3)*(-2*w**2 + 1 - 1) as t + m*w**3 + a*w**2 + p*w + j*w**4 and give j.\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98 - -110. Solve 2*w - 2*s + u = 0, -5*w + 4*s - 33 = -4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/14)\/1*14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7162416*f**3*r**2 - 46*f**3 + 333*f*r - r wrt r?\nAnswer: 14324832*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 - 2 + 15*k**2 - 20*k**2 + 2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -7*w**3 - 4*w**2. Let t(q) = -q**3 - q**2. Determine 3*m(z) - 12*t(z).\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.8, 4, -20?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -469258747 + 26136.\nAnswer: -469232611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 58 = -2*u, 0*u = u + 4*x + 5. Let d be (3\/(-9))\/(u\/(-24)). Which is bigger: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 2*t + 4*t.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/308269 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36152402809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 15, 2, -3, -53, -2.\nAnswer: -53, -3, -2, 2, 15, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 105604444 (base 7) to base 13\nAnswer: 1450420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -769 + 2397 = -119*k - 466 - 4094 for k.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from {c: 2, i: 1, q: 1, s: 1, k: 1, j: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/408 and -71\/3944.\nAnswer: 11832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = u - 10. Calculate the remainder when u is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in 1, -6, -4\/5, 3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d - d - 2*d + 0*d - d + 2*d - 2*d - 1 + 1 + (-1 - 2*d + 1)*(-1 + 2 + 1) - 4*d + 3*d + 0*d + 6*d - 4*d + 0*d + 3*d + 0*d - 2*d + 2 - 2 + 2*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**4 + 8818*v**3 - 1182*v**2 - 16*v + 1?\nAnswer: 24*v + 52908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v**2 + 5*v. Let k = 11 + -22. Let o(n) be the second derivative of -13*n**4\/12 - 3*n**3\/2 + 104*n. Calculate k*h(s) - 6*o(s).\nAnswer: s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49492\/3 + -30280777\/1836. Let r = 22\/459 + q. Calculate the common denominator of r and -29\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/19 and -29\/190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 2. Suppose -5*z + m*z = 35. Let g(i) = -59*i + 12. Let c(j) = 17*j - 3. Let r(t) = -7*c(t) - 2*g(t). Calculate r(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 - 2*l**2 + 9 - 7*l**2 - l**3. What is n(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 3*x - 25, 0*r + 2*r - x = 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = f - 0*f. Suppose 0 = 2*r - r + 2, -f*g + 4*r = -38. Let x be 0 - 1\/(-4)*0. Solve 0*p + 3*p + g = x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 12:33 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 178.425051032?\nAnswer: -176.425051032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 b, and 1 t when three letters picked without replacement from {t: 1, x: 2, b: 1, u: 2, r: 1, s: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/6)\/((-1420)\/5112)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.1 + 29.1. Which is the closest to i? (a) -1 (b) -1\/4 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1798.1 - 1799. What is the nearest to 0.1 in -3, 5, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 24*m**2 + 1004*m - 180. Determine o(-42).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, j: 6, m: 1, v: 7}. Give prob of sequence njm.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 488, 958, 1426, 1892, 2356, 2818?\n\"Answer: -s**2 + 473*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 8*w**2 + 2*w + 10. Let d(c) = 2*c**3 - 17*c**2 + 4*c + 23. Let z(h) = 3*d(h) - 7*p(h). Suppose 12 = 4*n - 4. Determine z(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18276, -18278, -18280?\nAnswer: -18282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-9))\/((-98280)\/2268)\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/2, 0.2, 1\/7, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1090*t**3 - 5954 - 461*t**3 + 4298*t**3 + 3420 wrt t.\nAnswer: 14781*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161382, 322763, 484144, 645525, 806906?\nAnswer: 968287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486*l = -495*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2. Suppose 2*g - 14 = -2*y, 0 = -2*y - g - 2*g + 19. Let c(z) = t*z - y*z - z. Let f(i) = 2*i**2. Give c(f(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 40*t + 350. Determine g(45).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10277730\/1051 - 9779. Let a = y - -47293\/2102. What is the common denominator of a and 149\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -121918, -487651, -1097204, -1950577, -3047770?\n\"Answer: -121910*a**2 - 3*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/845 and -43\/585?\nAnswer: 7605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 0*s**3 + 4*s - 4*s**2 + s - 2.\nAnswer: (s - 2)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 421331*t**2 + 421330*t.\nAnswer: t*(t - 421330)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 i when two letters picked without replacement from {i: 7, d: 8, h: 2, g: 1, s: 1}.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-42)\/(-35))\/(1\/(-5)) - (-55 + 45). Solve 180*t = -4*m + 179*t - 5, -h*t = 4*m - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186695 is divided by 87?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 1:58 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -50*g - 52*g - 49*g + 148*g - 4. Let i be x(-1). Which is the nearest to i? (a) -4 (b) 0.3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -261, -5, 2 in increasing order.\nAnswer: -261, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**3 - q**2 + 3*q + 1. Let j be s(-2). Let r be (-2314)\/(-30) + -6 + (-1760)\/(-300). What is the greatest common divisor of j and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvttvvvttvttvttvvt. What is prob of picking 2 v and 1 t?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*n + 5. Let m = -10 + 9. Let h be (9\/(-3537))\/(m\/(-3)). Which is bigger: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*n - n = -20, 8 = 3*i + 2*n. Suppose i = -4*y - 0*y + 48. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2\/3 - 1768*p\/3 + 10716 = 0. Calculate p.\nAnswer: -1786, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321*g**3 + 156*g**3 + 162*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 6*n + 7*n - 27934 = 0, 4*n = -4*t + 37232. What is the thousands digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 219.\nAnswer: 6132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/2))**(-21))**(-1\/20) assuming z is positive.\nAnswer: z**(-21\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -163 divided by 46918\nAnswer: -163\/46918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*h + 2 = 0. Suppose -4*t + 10 = t. Suppose t*j = j - h. Is -1\/9 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from jlyuujjujjob?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5055 - 2780. What are the prime factors of b?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/7 - (-56)\/392. Let k(t) be the second derivative of 2*t + 0*t**4 - 2\/3*t**3 + 1\/20*t**5 + 0*t**2 + n. Find the second derivative of k(o) wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 8 - 2)*(-10 + 2 - 8)*(-n + 5*n + 9*n) to p + d*n and give d.\nAnswer: -2288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -535.9699 - -536. Let l = -41.3301 + b. Round l to zero dps.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 11*y + 8*y + 8*y - 36*y + 15*y + 33*y**2. Let c(o) = o. Calculate 6*c(t) - g(t).\nAnswer: -33*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/((-26754)\/(-28))*-63*(-49)\/3?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**3*h*x**2 - 2*g**3*x**3 - g**2*h*x**3 - 2*g**2*h - 5*x**3 - 20*x**2 wrt x.\nAnswer: -12*g**3 - 6*g**2*h - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2581 (base 12) in base 9?\nAnswer: 5767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000059513688 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) - (sqrt(4032) + -2*sqrt(4032)))\/sqrt(4).\nAnswer: 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 1. Let n(x) = 5*x - 9. Suppose 2*z - 5 = -3*z. Determine z*n(d) - 4*k(d).\nAnswer: d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -1 + 5 - 5*i**2 + 4 - 1. Let u(g) = -9*g**2 + 13. Determine 11*n(c) - 6*u(c).\nAnswer: -c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 3:59 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = a + 30 - 10, w - 4*a = -10. Let s = w - 3. Suppose -v = -4 + s. What is the smallest value in v, -1, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -857*j + 429*j + 430*j. Let f(z) be the second derivative of z**4\/12 + 2*z. What is p(f(i))?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**2\/2 - 7*b - 4. Let m be s(9). Solve m*h = 4*h - 3*z + 2, 0 = 5*z - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -56, -58, -60, -62?\n\"Answer: -2*j - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -159 (b) 4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 203201?\nAnswer: 203200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.5, -342\/37 in increasing order.\nAnswer: -342\/37, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62830?\nAnswer: 2, 5, 61, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - l = -b + 15, 4*l = -2*b - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 y, and 1 i when three letters picked without replacement from xlqllmqxmyqi?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(325) + (sqrt(325) - (-2 + sqrt(325))) + -2 + sqrt(325) - (-1 + sqrt(325) + 4))**2.\nAnswer: -668 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 3*a**2 + 3*a. Let p = -28 + 25. What is r(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-2))\/(758\/(-254) - -3). Let h = -123 + l. Solve -4*x = 4*a, 0 = -5*a + h*x - x + 24 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04448 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.70281 weeks to milliseconds.\nAnswer: 1029859488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1016? (a) 2 (b) 4 (c) 16\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of (1 + 2417)\/((-166)\/14 + 12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -15\/31 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -10568*k - 73860. Calculate i(-7).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/4 of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 107095949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -716*m**2 - 5*m + 10. Let z(n) = 714*n**2 + 4*n - 8. What is 4*d(y) + 5*z(y)?\nAnswer: 706*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69417 divided by -5.\nAnswer: -69417\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 6 + 0 = 0. Suppose 2 = a*j - 4. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*z**4 + 8*z**3 - 1512*z?\nAnswer: 84*z**2 + 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -2\/827, -1\/5, -103319?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 261, 270, 281, 294?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**2 + 17388*m + 25195212 = 0. Calculate m.\nAnswer: -2898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 308394, 308395, 308396?\nAnswer: 308397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 256 + 106. Calculate the smallest common multiple of f and 6.\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100001001000100100111000 (base 2) to base 12.\nAnswer: -2aaa674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 133555105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*f + 42 = -404, 2*j + 4*f = 452. Suppose 46*d - 44*d = j. Let a = d + -110. Solve 1 + 1 = a*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + d**2 + d**3)*(2 + 3 - 7)*(-83*d - 49*d + 39*d) - 2*d**4 + 2*d**2 - 2*d**2.\nAnswer: 184*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5 = a. Suppose -2*v = 4*v + 6. Is v at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5 = -i. Let f = i - -5. Suppose -7*u = -2*u - f*s - 8, -s - 5 = -2*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**3 - 3 + 3)*(0 + w + 0).\nAnswer: 5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 889 and 1073 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*q - 71 - 133 = 0, 163 = 3*o + q. Let b(s) = s**3 - 11*s**2 + 14*s - 70. Let h be b(11). What is the greatest common divisor of o and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -38.\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 minus -0.087?\nAnswer: 15.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001455 rounded to five decimal places?\nAnswer: 0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 48397874 divided by -6913982?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + 2*((sqrt(200) - (-1*sqrt(200) + sqrt(200))*2)*-3*-3)**2.\nAnswer: 32407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*z - 3*z + 65*z + 3672 = 68*z for z.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -605 - -171a?\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.616 minus 119.8603564?\nAnswer: -41.2443564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 362270 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by (-15 - -14)\/((14\/50)\/(-7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3857018 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 270965 or 270963?\nAnswer: 270963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -30. Let h be (a\/(-8))\/(48\/128). Find the first derivative of 12*n**2 - 5*n**h + 7 - 6*n**2 wrt n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -928.9 smaller than -65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 188785 - 1697254\/9. Let q = -201 + m. Sort -0.1, 0.16, 4, q in decreasing order.\nAnswer: 4, q, 0.16, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - -2*(-2)\/4. What is the second derivative of 2*z**3 - 15*z + 8*z + o*z**3 wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, d: 2, a: 1, w: 5, c: 2, p: 2}. Give prob of sequence pc.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 4356198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13 at most -5490?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 101*y**2 + 580*y - 11. Let g(v) = 2*v**2 + 8*v - 5. Calculate the remainder when n(-6) is divided by g(-7).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1268, -6355 in ascending order.\nAnswer: -6355, 8, 1268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1475 - 0.14. Round g to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*h**2 - 11*h*m**2 - 102*h + m**2 + 15314*m - 6 wrt h.\nAnswer: -18*h - 11*m**2 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtm when three letters picked without replacement from tmrr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 682, 4, -39 in descending order.\nAnswer: 682, 4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 3\/17, -0.1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, 1574, 3191, 4806, 6419, 8030?\nAnswer: 9639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1795846.\nAnswer: 2, 13, 17, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1747000 to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 0)\/((-55)\/561) + 12\/(-15). Solve v*j - 48*j = -16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8134 - -8138. Let n = 28 + -6. Suppose 0*d + 1 = -2*d - t, 0 = d - h*t - n. Solve -2*m - 12 = 4*j, -d*m + 3*j + 2 = -0*j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i + 15. Let p be w(0). Put -1, p, 3 in decreasing order.\nAnswer: p, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7112, -7116, -7122, -7130, -7140, -7152?\n\"Answer: -r**2 - r - 7110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 83.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 24*j**2 - 22*j + 4. Suppose 0 = 5*y - 90 - 35. Let q be i(y). Let s = q - 36. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 36 and 0.06542 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 10*t + 3. Let d be u(10). Let x(i) be the third derivative of 0 - 1\/60*i**6 + 0*i - 3\/16*i**4 - 1\/6*i**3 - 1\/10*i**5 - d*i**2. Factor x(z).\nAnswer: -(z + 2)*(2*z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9609742 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/10 in -12269, -0.01, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4224 and 4164.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/8 bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -106, -48, -4, -1 in descending order.\nAnswer: -1, -4, -48, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*i = 21, 5*i = 5*j - 0*j - 125. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -1\/12*n**4 + 0*n**2 + 0 + 0*n**3 + 0*n**6 + 3*n - 1\/14*n**7 + 0*n**5. What is the third derivative of h(s) wrt s?\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36326550*c**2*u + 42911586*c**2 wrt u?\nAnswer: -36326550*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 978820 a multiple of 1090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2, -3, 14 in descending order.\nAnswer: 14, 2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1656885815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/7 (b) -0.2 (c) 415\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*f**2 + 18*f**2 + 23*f**2 - 75*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 256929853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -14, -24, -28, -20, 6, 56?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*g. Suppose 3*k - k = g, y - 4*k - 253 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1092 is divided by 206.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 144*q - 285. What are the prime factors of d(6)?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/30594 and -65\/387.\nAnswer: 3946626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**4\/2 + 2*u**3\/3 + 16*u**2 - 32*u + 74. What is p in t(p) = 0?\nAnswer: -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-7)\/(-14))\/(2\/4). Let k(h) = 5000000*h. Let c be k(q). Round c to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6348948 and 12697896?\nAnswer: 12697896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(4) + 4 - ((sqrt(11) - (-3 + sqrt(66)\/sqrt(6))) + sqrt(11)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2030.694 centuries in months?\nAnswer: 2436832.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 745353 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -95 + 95. Suppose -4 = -g + 4*p, -g - g - 3*p + 8 = v. Let d(x) = 1 + 3 - 2*x - 8. Let y(o) = 1. What is g*y(k) + d(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3055 and 1880.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = 22*c - 26*c - 16, -5*c - 20 = -2*g. Let t(u) = 5*u**3 - u. Let h be t(1). Let q = h - -2. Solve g = -q*x + x - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + ((sqrt(192) - sqrt(192)*-2*1) + sqrt(192))\/(6*sqrt(60)\/sqrt(160)))*-5)**2.\nAnswer: -1600*sqrt(2) + 53225\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06603? (a) 3 (b) -0.4 (c) 3\/5 (d) 7 (e) 1 (f) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*o**3 + o**2 - 234*o + 142*o**3 + 5*o**2 - 6*o**2.\nAnswer: 65*o**3 - 234*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, j: 10, d: 4}. What is prob of sequence jjpp?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*g + 57 + 193 = 0, -2*s + 5*g - 121 = 0. Let j = s - -191\/3. Solve j*z - 2\/3*z**3 + 2\/3 - 2\/3*z**2 = 0 for z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7.145642854 from -14569.\nAnswer: -14561.854357146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(20) + sqrt(80))\/sqrt(4).\nAnswer: -3 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + (514 - 433) + (33 - 0)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 95, 108, 123?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63288709?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.443285 and 1?\nAnswer: 0.443285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 29530ab - -2?\nAnswer: 29530b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1079\/103 less than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2234?\nAnswer: 2, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/7 (b) -291 (c) -20\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4469 = 4*u + 18*u + 3941. Calculate the smallest common multiple of 124 and u.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-12)*a\/(a\/(a**(-8)\/a)*a))\/(a\/(a\/a**(-1\/2)))**26 assuming a is positive.\nAnswer: a**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 8. Let y be r(6). What is the first derivative of 6*d**2 - 6*d**y - 4 + 7 + d**3 wrt d?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*q = 82*q - 5*n - 160, 5*q = 2*q - 4*n - 92 for q.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1236 is divided by 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 214 (base 8) to base 9\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -53 and 18?\nAnswer: -954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h - 3. Let r(g) = -2*g - 2. Let u(t) = -4*p(t) + 3*r(t). What is the smallest common multiple of u(6) and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 10308294024?\nAnswer: -10308294024.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*m + 2 - 66*m**4 - 2*m**3 + 351*m**4 - 287*m**4 - 2*m**2 in the form q*m**4 + l*m + s*m**2 + a*m**3 + o and give l.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 9 - 7 = 0, 0 = 3*k - 3*i - 456. Suppose -t = 4*q - k, 3*q = q - 3*t + 88. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**3 - k - 1. Let y(x) = 3*x**3 + 5*x**2 - 2*x - 5. Give -2*h(g) + y(g).\nAnswer: -g**3 + 5*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 15*m + 56. Let k be t(6). Sort -106, k, 4 in increasing order.\nAnswer: -106, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112020 (base 3) to base 11\nAnswer: 31a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5217.9 take away -1558087024?\nAnswer: 1558081806.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 3.2. Let t = -3.9 + -0.1. Which is the second smallest value? (a) t (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyhy when four letters picked without replacement from yyyyhyyyhyyiiyiyyyyy.\nAnswer: 91\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 3\/(-6))*0. Let l = -1 - -4. Let n(y) = -y**2 - 3*y**2 - 5 + l*y**2. Determine n(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 283029*k - 283026.\nAnswer: -3*(k + 1)*(k + 94342)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u - u**2 - 4*u**3 + 0*u**2 + 6*u**3 in the form w*u**2 + g + a*u + p*u**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + (-5 - 3))\/(-1). Suppose 2*q = 0, -4*k - 4*q + w = -3. Solve -5*p + 2*r + 13 = 0, 3*p + k*r + 9 = -r for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -17*w**3 + 3*w**2 - 48. Let g(u) = 33*u**3 - 5*u**2 + 98. Let p(d) = -5*a(d) - 3*g(d). Find the first derivative of p(y) wrt y.\nAnswer: -42*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = 5*q - 2*f, 3*f = -5*q + 7. Suppose 5*w + 2126987 + 723023 = q*g, 0 = 2*w + 3*g + 1139985. What is w rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 974118.85459 and 1.\nAnswer: 974119.85459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 + -44?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1157 and 2403?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 17*f + 990. Let n(y) = -20*y - 993. Determine -5*n(z) - 6*p(z).\nAnswer: -2*z - 975","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 205988669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1689*k - 9663. Give d(5).\nAnswer: -1218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -233446*m**3 - m**2 - 75*m + 64 wrt m.\nAnswer: -1400676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 0, -5, -3779 in ascending order.\nAnswer: -3779, -5, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**5\/20 - u**4\/3 - u**3 - u**2 + 6*u. What is t(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2 + 17*f + 9. Let k be a(-6). Let d = k + 390. What is the greatest common divisor of 25 and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 10 = 2*y + 14, -3*y + r - 31 = 0. Let q be y\/55 - (-16)\/5. Suppose 1787 + 316 = q*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w. Let v(t) = 13234*t + 282. Determine k(v(p)).\nAnswer: 13234*p + 282","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125494519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y + 877 - 52 = 0. List the prime factors of (-10)\/y - 896\/(-30).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -509 - -221. Is 20\/50 - b\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -9*z - 114. Let r be i(-13). Let h be (-2)\/4*(-7 - -3). Let g = 2 + h. Solve -r*w + 5*w = -g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 10. Let s be w(7). Solve f = -2*f - s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 6:57 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2535*x**3 + 2482 wrt x?\nAnswer: -7605*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v + 33. Let o be f(-6). Suppose -10*c = -2*p - 13*c + 1733, o*p + 4*c - 2599 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329059 is divided by 203?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764699169.\nAnswer: 3, 13, 83, 337, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 18*c**3 + 3*c - 2. Let h be r(1). Let b = -15 + h. Is 7 a factor of (18\/b - 0)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 - 66. Let m(t) be the first derivative of -1\/2*t**4 - 1 - 4\/5*t**5 - 1\/3*t**o + 0*t**2 + 0*t + 0*t**3. Determine i, given that m(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/30 and (-129)\/(-4)*72\/(-35964).\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 4)*(2*q - 7*q**2 - q + 5*q**2).\nAnswer: 6*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**2\/5 - 16*j\/5 + 36\/5 = 0.\nAnswer: -18, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 5*a**5 - 2*a**4 + 9*a**2 - 3*a**3 - a**5 - 7*a**5 - 7*a**4 + 6*a = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - ((0 + sqrt(75))**2 + sqrt(75)))*6.\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 6*g - 8*g. Suppose g*a + 12 = w, -5*w + 3 = 3*a - 3. Suppose 2*s = w*s + 4*h - 25, -4*h = -16. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1237.4 - -1237. Which is the closest to -1? (a) m (b) -1\/8 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54960 divided by 5\nAnswer: -10992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8073?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhntehtmtent. Give prob of picking 1 m and 2 n.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**5 - 412475*f**4 - 8506987510*f**3 - 8506162570*f**2 + 8506987515*f + 8506575045 = 0. Calculate f.\nAnswer: -41247, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1353 = 3*p + 4833. What is p rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 266 and 360\/(-50)*(-5)\/2?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 12*l - l**2 - 13 as u*l**2 + c + d*l and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 37\/2 of a year?\nAnswer: 222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 4:03 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 25854.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j + 2*j**3 - 4*j - 5 - 3*j**3 - 4*j**2. Let d be z(-3). Suppose 5*x + g = 304, 5*g + 100 = -2*x + d*x. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (24 - 25 - 33)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 4*w + 25. Suppose -4*x + 5 = x. Let f = 2 - x. What is the lowest common multiple of f and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n - 11 + 16 - 2 - 3. Let l(t) = 57*t. Calculate b(l(z)).\nAnswer: -285*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -121997406*d*v - 21705905*d with respect to v.\nAnswer: -121997406*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 16.83736682342 and 22.\nAnswer: 38.83736682342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15914?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/((u**(5\/2)*u*u)\/u)*u*u*u**(-11\/4)\/u*u assuming u is positive.\nAnswer: u**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -73 - (-1511 + 1479 - (-71 - 0))?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 176320897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 3, k: 2, d: 3, h: 1, p: 6}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2. Let l = 4 + 9. Let p(z) = 6*z + 2*z - 13*z - l*z. Determine p(x(c)).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 320449 divided by 7\nAnswer: 320449\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 9 + 6 = 0. Suppose 4*q**3 + 2*q**l - 5*q**3 + q**3 = 0. What is q?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 6*a - 4. Let q be 2 + (2 + 1)*-2. Let h be t(q). Suppose 0 = -n + h*n - 30. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**13)**(-26))**(-40) assuming c is positive.\nAnswer: c**13520","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -171 + 152. Let i(t) = -123*t - 4. Is i(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 143, 154, 173, 200, 235?\n\"Answer: 4*t**2 - t + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nunhhhamhaa. Give prob of picking 1 u and 1 h.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 5*l + 2. Let r be b(-5). Let n(q) = 1 - q**r - 6 + 12*q + 10. What are the prime factors of n(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, n: 7}. Give prob of picking 4 o.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1184456 and -38.\nAnswer: 45009328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvaawavwwlqqqlqaq. What is prob of sequence alaw?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -16. Solve 2*q - r = 7 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/136050 and 167\/136050?\nAnswer: 136050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g - 1237*g**3 - 1141*g**3 + 3*g + 2372*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 338 (b) 0.3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 - (15 + 28) - (4 + (8 - -3)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (113*x + 60*x + 157*x)*(-5 - 1 + 2).\nAnswer: -1320*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4002221 (base 6) in base 13?\nAnswer: 67246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 4:30 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1009497669?\nAnswer: 3, 23, 14630401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.04 + -1.14. What is the second smallest value in -10, 0.1, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 1 - 9. Let r(o) = -9 + 3 + 2*o + b. Let c be r(3). Solve 0 = -u - c - 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163, -162, -137, -76, 33, 202, 443?\nAnswer: 768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 944252*f**3*r - 3*f**3 + 36*f*r + 144186*r + 2 wrt f?\nAnswer: 5665512*f*r - 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-4)*1216\/(-228)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 226*v - 3. Let j be y(6). Let c = j - 2433. Let t be (2\/(-10)*2)\/(24\/c). Solve 4*s = -2*o - t, 4*o + 24 = -2*s - 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 41420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, d: 2, k: 5, o: 4, w: 1, u: 2}. Give prob of sequence dok.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(14\/5)*a*a\/a**(-8)*(a*a**(1\/5)*a)**(-2\/29))**5 assuming a is positive.\nAnswer: a**(1979\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*w + 60. Suppose 4*c = w - 2, -2*b + 742 = -5*c. Suppose 4*r - b = -48. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -339 (c) 0.5 (d) 8 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 1, -30693, 4, 5 in descending order.\nAnswer: 51, 5, 4, 1, -30693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1593 times -0.4?\nAnswer: 0.06372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12.7739 or 0.061?\nAnswer: -12.7739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q**3 - 3*q**3 - 78*q**2 + q + 76*q**2 to m*q + b + r*q**2 + k*q**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.08, 0.19, 1, -3 in ascending order.\nAnswer: -3, -0.5, 0.08, 0.19, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1585 and 17435.\nAnswer: 17435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 2*j**2 + 14*j + 4. Suppose 14*u = 11 + 59. Let r be g(u). Let k = -2 - -4. Sort r, k, 4 in ascending order.\nAnswer: r, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 28. Let c(v) = 5*v**2 - 3. Let y(m) = -11 + 7*m**2 + 14*m**2 - 2*m**2. Let u(t) = b*y(t) + 22*c(t). Let f(g) = 3*g. Determine f(u(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 + a**2 + 0*a**2 - 2*a**2 + (-5*a**3 + 4*a**3 + 2*a**3)*(-2 + 0 + 0) + a**3 + 0*a**3 + 0*a**3 - 2*a**3 + 4 - 4.\nAnswer: -5*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3*u - 148. Suppose 8*w = 9*w - 86. Suppose -3*q - 239 = -3*z - w, -248 = -5*z - 2*q. What is the remainder when u is divided by z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by -1.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -23*b + 27, -8*b - 3 = -3*b + 2*r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*h**2*w**2 - h**2*w + 56*h**2 wrt w?\nAnswer: 54*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/((-9945)\/36))\/(12\/(-60))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -h + 2, -4*t + 244 = 5*h. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -331831, -331833, -331845, -331873, -331923, -332001?\nAnswer: -332113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 12) to base 15.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f*f**3))\/f)\/f)\/(f\/(f**(2\/7)\/f))*f**0*f*f**(-2)*f**1\/(f*((f\/(f**3\/f))\/f)\/f)*(f*f\/(f*f\/f**(3\/7)))\/f*(f*f**1*f)\/f assuming f is positive.\nAnswer: f**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - g**2 + 0 + (2*g**2 + 0*g**2 - 3*g**2)*(1 - 2 - 4) - 10 - 10*g**2 + 10 + 2*g**2 + 2*g**2 + g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 0)*(3 - 2 - 5)*(205*o**3 - 44197*o**2 + 44197*o**2) to r*o**2 + d*o**3 + j*o + b and give d.\nAnswer: 2460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87357819?\nAnswer: 3, 47, 59, 10501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1471929 + -1471935.9999936. Let g = h + 7. Round g 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 61*u**3 - 121*u**3 + 62*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 392 and 486151\/1244 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 7:31 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 6*h = 7*h + 27, 2*h = 5*a + 21 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/882246 and -21\/85129.\nAnswer: 9704706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 7*t**2 - 5*t**2 - 576*t - 28*t**3 + 1 - 4 + 30*t**3 in the form s*t**3 + m*t**2 + j + p*t and give p.\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -18\/7 in descending order.\nAnswer: 6, 1, -18\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 14 = 3*j, -35 = -5*j + 15*y - 10*y. Determine p, given that 0 + 4\/7*p + 6\/7*p**j + 2\/7*p**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) + sqrt(72) + 0 + sqrt(72))*-2 + sqrt(72) - (2*sqrt(72) + -3)) + -3*sqrt(72) + 5 + sqrt(72) + 1)**2.\nAnswer: -972*sqrt(2) + 5913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, v: 7, i: 3, f: 2, e: 5}. What is prob of sequence iei?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 38 = -14. Suppose 18*x - 16*x = g. Let h(z) = 7*z**x - 11*z**2 + z**2 + 5*z**2. Let s(f) = -3*f**2. What is s(h(y))?\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/225*15\/6*1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c. Let b(y) = 586139*y. Determine i(b(k)).\nAnswer: -1172278*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -4*w + 50. Solve w*n - 4 = -0*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1302, 2611, 3920, 5229?\nAnswer: 6538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 155*q**4 - 210*q**2 + 15. Let u(k) = 22*k**4 - 30*k**2 + 2. Let i(d) = 2*n(d) - 15*u(d). Find the third derivative of i(p) wrt p.\nAnswer: -480*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 10:01 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/4 - 401*q + 369183.\nAnswer: -(q - 654)*(q + 2258)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270300246.\nAnswer: 2, 3, 2213, 20357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -9. Which is the nearest to 2\/3? (a) 4 (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/24)\/(70\/112)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 12 = 0, -4*h + 48 = -5*m - 2*h. Let p be 100\/(-15)*6\/m. Suppose 0 = p*b - 5*c - 80, -1 - 5 = 3*c. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t**2 - 4*t - 5. Let g(b) = -2*b**2 - 2*b - 2. Let r be (-371)\/(-28) - (-1)\/(-4). Let m = r + -11. Calculate m*c(j) - 5*g(j).\nAnswer: 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 6:34 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4020?\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 1:03 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -508\/529 - -632309\/649083. Calculate the common denominator of d and -109\/30.\nAnswer: 12270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (374\/44 + -9)*1. Which is the closest to -16? (a) -5 (b) 2\/11 (c) 2 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22359 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vr when two letters picked without replacement from rxlvrrrcrir.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -19 and -44 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*y = 703, -y + 552 = 4*p - 6*y. Which is smaller: p or 144?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 104050246 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 22*r**3 - 17612*r**2 + 3530424*r\/11 - 16271856\/11 = 0.\nAnswer: 102\/11, 782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x + 35. Let f(j) = -j + 2. Calculate -3*f(u) - k(u).\nAnswer: -u - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-three fifths of a gram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 4430 = z. Suppose -l + 4*v - 670 = -4*l, 4*l = 2*v + z. Suppose 4*p + 4*k = 240, -3*p + 2*k + l - 37 = 0. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -20*x - 11. Let r(d) = -6 + 241*d - 494*d + 243*d. Let u = 116 - 105. What is u*r(h) - 6*j(h)?\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 17*d**3 - 6*d**2 - 10*d - 4. Let j be k(-4). Let r = j + 1888. Round r to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22282000 to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*v**3 + 8558413203558*v**2 - 8558413203558*v**2.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxkbxvxkblbbu. What is prob of sequence xu?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 9*f + 9. Calculate o(-11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5, 0 = 2*d - d + 2*r. What is the highest common divisor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 12:33 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 5:43 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 75*p**2\/2 + 118*p - 106. Does 38 divide b(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}